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PR-1706IRE New Wave Mental Maths - 6th Class

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First published in 2002 by Prim-Ed Publishing<br />

Revised 2017<br />

Marshmeadows<br />

<strong>New</strong> Ross<br />

County Wexford<br />

www.prim-ed.com<br />

Copyright © Eddy Krajcar 2017<br />

<strong>PR</strong>–1706<br />

ISBN 978-1-92096-244-9<br />

SAY<br />

NO<br />

TO<br />

BULLYING!<br />

NOBODY DESERVES TO BE BULLIED.<br />

TELL AN ADULT YOU CAN TRUST.<br />

This anti-bullying campaign is supported by the Irish Educational Publishers’ Association.<br />

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Copyright Notice<br />

No part of this book may be reproduced in any form or by any means, electronic or mechanical, including<br />

photocopying or recording, or by any information retrieval system without written permission from the publisher.


FOREWORD<br />

<strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> is a series of seven pupil workbooks, written to provide a comprehensive and structured<br />

daily mental maths programme for classes from Senior Infants to <strong>6th</strong> <strong>Class</strong>. All strands and strand units of the<br />

mathematics curriculum are covered. The series has been updated and revised. Contemporary colour and appealing<br />

artwork have been added. Question types have been revised, reworded or rewritten. <strong>New</strong> to this edition is the<br />

inclusion of a separate problem-solving column in each week’s unit of work, to enable teachers to focus on specific<br />

problem-solving skills and strategies.<br />

<strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> is designed to:<br />

• provide complete coverage of all mental maths-related strands and strand units of the mathematics curriculum;<br />

• encourage and develop mental calculation concepts and skills;<br />

• constantly revise the different strands and strand units;<br />

• develop and reinforce problem-solving strategies;<br />

• develop and maintain speed of recall; and<br />

• introduce, practise and consolidate a range of mathematical vocabulary and language.<br />

Assessment activities are provided for pupils to assess, monitor and record their own performance on a weekly basis.<br />

A separate Teachers Manual is available to accompany the <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> series. This manual contains<br />

guidelines to help develop mental strategies; suggestions for classroom use; assessment material; list of concepts<br />

developed and answers for all the pupil workbooks.<br />

Pupil Record Sheet........................................... iv–v<br />

Week 1 ........................................................... 2–4<br />

Week 2............................................................ 5–7<br />

Week 3 ......................................................... 8–10<br />

Week 4 ....................................................... 11–13<br />

Week 5 ....................................................... 14–16<br />

Week 6 ....................................................... 17–19<br />

Week 7 ....................................................... 20–22<br />

Week 8 ....................................................... 23–25<br />

Week 9 ....................................................... 26–28<br />

Week 10 ..................................................... 29–31<br />

Week 11 ..................................................... 32–34<br />

Week 12 ..................................................... 35–37<br />

Week 13 ..................................................... 38–40<br />

Week 14 ..................................................... 41–43<br />

Week 15 ..................................................... 44–46<br />

Week 16 ..................................................... 47–49<br />

Week 17 ..................................................... 50–52<br />

Week 18 ......................................................53–55<br />

Week 19 ..................................................... 56–58<br />

Week 20 ..................................................... 59–61<br />

CONTENTS<br />

Week 21 ..................................................... 62–64<br />

Week 22 ..................................................... 65–67<br />

Week 23 ..................................................... 68–70<br />

Week 24 ..................................................... 71–73<br />

Week 25 ..................................................... 74–76<br />

Week 26 ..................................................... 77–79<br />

Week 27 ..................................................... 80–82<br />

Week 28 ......................................................83–85<br />

Week 29 ......................................................86–88<br />

Week 30 ..................................................... 89–91<br />

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Week 31 ..................................................... 92–94<br />

Week 32 ..................................................... 95–97<br />

Week 33 ................................................... 98–100<br />

Week 34 ................................................. 101–103<br />

Week 35 ................................................. 104–106<br />

Week 36 ................................................. 107–109<br />

Week 37 ................................................. 110–112<br />

Week 38 ................................................. 113–115<br />

Week 39 ................................................. 116–118<br />

Week 40 ................................................. 119–121<br />

<strong>Maths</strong> Facts ............................................ 122–128<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> iii


PUPIL RECORD SHEET<br />

Date Date Date Date Date Date Date Date Date Date<br />

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10<br />

M M M M M M M M M M<br />

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.<br />

W W W W W W W W W W<br />

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.<br />

PS PS PS PS PS PS PS PS PS PS<br />

F F F F F F F F F F<br />

Date Date Date Date Date Date Date Date Date Date<br />

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Week 11 Week 12 Week 13 Week 14 Week 15 Week 16 Week 17 Week 18 Week 19 Week 20<br />

M M M M M M M M M M<br />

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.<br />

W W W W W W W W W W<br />

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.<br />

PS PS PS PS PS PS PS PS PS PS<br />

F F F F F F F F F F<br />

iv <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


PUPIL RECORD SHEET<br />

Date Date Date Date Date Date Date Date Date Date<br />

Week 21 Week 22 Week 23 Week 24 Week 25 Week 26 Week 27 Week 28 Week 29 Week 30<br />

M M M M M M M M M M<br />

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.<br />

W W W W W W W W W W<br />

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.<br />

PS PS PS PS PS PS PS PS PS PS<br />

F F F F F F F F F F<br />

Date Date Date Date Date Date Date Date Date Date<br />

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Week 31 Week 32 Week 33 Week 34 Week 35 Week 36 Week 37 Week 38 Week 39 Week 40<br />

M M M M M M M M M M<br />

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.<br />

W W W W W W W W W W<br />

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.<br />

PS PS PS PS PS PS PS PS PS PS<br />

F F F F F F F F F F<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> v


MONDAY<br />

TUESDAY<br />

Week 1<br />

1. Round 6.23 to one decimal place.<br />

2. Write the prime numbers from 1 to 10.<br />

, , and<br />

1. Round 8.06 to one decimal place.<br />

2. The time is 2.15 p.m. in Ireland and 3.15 p.m. in Spain.<br />

What is the time difference?<br />

3. If a clock shows 9 o’clock, which size is the inside angle<br />

between the two hands?<br />

45º 90º 9º<br />

4. A circle's radius is half the diameter.<br />

5. 4 5 + 4 5 =<br />

True<br />

False<br />

6. Write one million as a numeral.<br />

7. Circle +7 on the number line.<br />

8. 100,000 + 325,050 =<br />

9. This is a net of a<br />

10. What is the area of a<br />

square with 4-cm sides? cm 2<br />

11. 2 3 × 3 =<br />

12. Simplify 5 10 .<br />

13. Name this shape.<br />

14. 100,000 – 10 =<br />

15. 10% of 100 =<br />

16. Round 3 3 4 (nearest whole number).<br />

17. (4 × 5) – 10 =<br />

18. What is the 24-hour time for 6.00 p.m.?<br />

hours<br />

.<br />

19. Which is the lowest common denominator (LCD)<br />

of 1 2 and 1 5 ?<br />

20. 4 – 0.2 =<br />

8 10 20<br />

3. Round 2 7 10 to the nearest whole number.<br />

4. What is the length of<br />

Side a of the square?<br />

5. 3 2 =<br />

6. 8 × 3 × 3 =<br />

7. (5 × 5) + (2 × 10) =<br />

8. A cuboid has<br />

faces.<br />

edges.<br />

vertices.<br />

9. What is the LCD of 1 4 and 3 10 ?<br />

cm<br />

10. What is the perimeter of an<br />

equilateral triangle with 7-cm sides?<br />

cm<br />

11. Tick the largest.<br />

12. 1 2 = %<br />

13. What is the value of the 8 in 820,411?<br />

14. Name this shape.<br />

15. Write one million and one as a numeral.<br />

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16. 5 105 =<br />

17. 4 × 3 4 =<br />

1<br />

2<br />

On the circle diagram, label<br />

18. the radius ‘A’.<br />

19. the diameter ‘B’.<br />

20. the circumference ‘C’.<br />

3<br />

4<br />

5 cm<br />

a<br />

2<br />

6<br />

2 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. Round 4.27 to one decimal place.<br />

2. This is a net of a<br />

.<br />

1. Round 3.39 to one decimal place.<br />

2. 3 4 + 3 4 =<br />

3. The circumference of a circle is approximately<br />

2 3 4 times longer than its diameter.<br />

4. 2.5 ÷ 5 = 0.<br />

Week 1<br />

3. 1 4 km = m<br />

4. Write one million and ten as a numeral.<br />

5. 6 – 0.3 =<br />

6. Write the composite numbers from 1 to 10.<br />

, , , and<br />

7. What is the 24-hour time for 9.00 p.m.?<br />

hours<br />

8. 70 = double a, so a =<br />

9. 2 3 = 2 × 2 × 2 =<br />

10. (18 ÷ 3) + 8 =<br />

11. Simplify 6 9 .<br />

12. Which is the size of the inside angle<br />

between the hands?<br />

45º 90º 180º<br />

13. 20% of €100 = €<br />

14. Write the numeral two point zero, zero four.<br />

15. 55,000 + 45,000 =<br />

16. 4.1, 8.2, 16.4,<br />

17. 9 × 2 3 =<br />

18. If a jar contains 4 chocolate chip biscuits, 6 ginger<br />

biscuits and 10 coconut biscuits, what is the probability<br />

of picking a chocolate chip biscuit?<br />

in<br />

11<br />

10<br />

9<br />

8<br />

7<br />

12<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

5. The length of<br />

a is<br />

b is<br />

cm.<br />

cm.<br />

6. A triangular prism has<br />

faces.<br />

edges.<br />

vertices.<br />

7. (15 – 5) × 5 =<br />

8. 3 3 = 3 × 3 × 3 =<br />

9. Round 3 3 7 (nearest whole number).<br />

10. The time is 7.12 a.m. in Ireland and 8.12 a.m. in France.<br />

What is the time difference?<br />

11. Circle –6 on the number line.<br />

12. 60 , 600 , 6,000 ,<br />

13. 19 × 3 = (20 × 3) –<br />

14. Tick the smallest.<br />

15. 1 4 = %<br />

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16. The factors of 6 are<br />

4<br />

6<br />

, , and .<br />

17. What is the average of 15, 30 and 15?<br />

b<br />

8<br />

9<br />

a<br />

6 cm<br />

1<br />

3<br />

19. What is the perimeter of the square?<br />

cm<br />

20. 6 2 =<br />

3 cm<br />

18. Write one million one hundred as a numeral.<br />

19. 38 ÷ 5 = r<br />

20. What is the 24-hour time for 4.30 a.m.?<br />

hours<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 3


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 1<br />

Monday<br />

The pages in a book are consecutively<br />

numbered from 1 to 76.<br />

1. How many of the digit 1 are present?<br />

2. How many of the digit 7 are present?<br />

1. Round 5.79 to one decimal<br />

place.<br />

2. Write one million and ten<br />

as a numeral.<br />

14. 3 4 + 3 4 =<br />

15. (5 × 4) + 5 =<br />

16. Round 7 3 7 .<br />

17. Name this shape.<br />

Tuesday<br />

3. What prime number<br />

comes after 10?<br />

1st 2nd 3rd<br />

1. What is the <strong>6th</strong> triangular number?<br />

2. What is the 8th triangular number?<br />

Wednesday<br />

1. What is the sum of the<br />

numbers not visible on<br />

the dice?<br />

2. What is the sum of the<br />

numbers on the bottom<br />

of the dice?<br />

Thursday<br />

1. Look at the net. Which number is missing from the<br />

blank face of the cube?<br />

2. How many triangles can you find?<br />

3<br />

1 2 5 6<br />

4<br />

4. The circumference of a circle<br />

is approximately<br />

2 3 4 times<br />

longer than its diameter.<br />

5. Simplify 14<br />

20 .<br />

10<br />

6. Which is the size of the<br />

inside angle at 9 o’clock?<br />

45° 90° 9°<br />

7. 20 = 5 + a,<br />

so a =<br />

8. 5 205 =<br />

9. 8 × 2 4 =<br />

10. Circle –5 on the number line.<br />

11. 4 2 =<br />

12.<br />

This is a net of a<br />

13. 30% of €100 =<br />

€<br />

11<br />

10<br />

9<br />

8<br />

7<br />

12<br />

-5 -4 -3 -2 -1<br />

6<br />

0<br />

1<br />

2<br />

3<br />

4<br />

5<br />

1<br />

2<br />

3<br />

4<br />

5<br />

.<br />

18. 100,000 – 100<br />

=<br />

19. A cube has<br />

faces.<br />

edges.<br />

vertices.<br />

20. Tick the largest.<br />

3<br />

4<br />

5<br />

10<br />

2<br />

8<br />

21. The time is 9.20 a.m. in<br />

Ireland and 10.20 a.m.<br />

in Germany. What is the<br />

time difference?<br />

22. 1 5 = %<br />

23. 10 3 = 10 × 10 × 10 =<br />

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3<br />

5<br />

24. What is the 24-hour time for<br />

8.00 p.m.?<br />

hours<br />

25. What is the length of<br />

Side a of this square?<br />

4 cm<br />

a<br />

cm<br />

4 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 149 ÷ 10 = r<br />

2. What is the radius of this circle?<br />

cm<br />

15 cm<br />

15 cm<br />

1. 149 ÷ 5 = r<br />

2. Draw a 270º rotation clockwise.<br />

Week 2<br />

3. This<br />

is<br />

mm tall.<br />

15 cm<br />

3. Is 715 divisible by 5?<br />

4. (9 × 5) ÷ (30 ÷ 6) =<br />

4. Round 7.53 to one decimal place.<br />

5. What is the place value of the 9 in 962,000?<br />

6. 90 + b = 2 × 70, so b =<br />

7. Write one million, one hundred and one thousand<br />

as a numeral.<br />

8. 18.5 ÷ 10 =<br />

9. If a clock shows 6 o’clock, which is the size of the angle<br />

created by the hands?<br />

90º 45º 60º 180º<br />

10. Simplify 10<br />

15. .<br />

11. Circle –5 on the number line.<br />

12. 7 – 0.9 =<br />

13. This is a net of a<br />

14. 30% of €50.00 =<br />

15. Is 3.7 rounded to 3 or 4?<br />

16. (6 × 5) – 20 =<br />

17. A regular pentagon has 7-cm sides. What is its perimeter?<br />

18. 10 × 2 5 =<br />

cm<br />

19. 4.04 > 4.20 True False<br />

20. The time is 5 p.m. in Ireland and 7 p.m. on the same day<br />

in Egypt. What is the time difference?<br />

.<br />

5. 15, 30, 45, , 75<br />

6. Write the prime numbers from 10 to 20.<br />

, , and<br />

7. 2 4 = 2 × 2 × 2 × 2 =<br />

8. 3 4 + 2 4 + 3 4 =<br />

9. The abacus =<br />

10. The length of one side<br />

of this square is<br />

11. 200 ÷ 5 =<br />

12. Simplify 12<br />

18 .<br />

13. What is the area of a rectangular<br />

field 100 m by 8 m? m 2<br />

14. Name this shape.<br />

15. 8 × 3 4 =<br />

Review sample<br />

cm.<br />

16. If there are £0.60 to €1.00, how many euro would you<br />

get for £3.00?<br />

€<br />

17. 23.5 ÷ 10 =<br />

18. A cube has<br />

faces.<br />

edges.<br />

vertices.<br />

19. 1 10 = %<br />

20. 175,000 ÷ 175,000 =<br />

1.5 cm<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 5


WEDNESDAY<br />

THURSDAY<br />

Week 2<br />

1. 1,000 ÷ 100 =<br />

2. 41.3 ÷ 10 =<br />

3. Write one million, one hundred and one as a numeral.<br />

1. 5,000 ÷ 500 =<br />

2. If there are £0.60 to €1.00, how many euro would you<br />

get for £6.00?<br />

€<br />

4. 30,000 + 80,000 =<br />

5. If a clock shows 9 o’clock, which is the<br />

size of the inside angle?<br />

90º 45º 60º<br />

6. 6.05 < 6.60 True False<br />

7. How many hours in 2 1 2 days?<br />

hours<br />

8. Round 5.86 to one decimal place.<br />

9. What is the place value of the 4 in 417,200?<br />

10.<br />

80<br />

A<br />

The measurement at A =<br />

11. 40% of €80 = €<br />

12. Tick the largest.<br />

13. 9 – 0.9 =<br />

90 100<br />

14. This is a net of a<br />

15. 1,000,000 – 320,000 =<br />

16. 3 4 = %<br />

17. 4<br />

10 + 4<br />

100 = 0.<br />

1<br />

10<br />

18. What is the LCD of 2 8 and 1 2 ?<br />

19. A regular hexagon has 9-cm sides.<br />

What is its perimeter?<br />

20. 4 3 = 4 × 4 × 4 =<br />

cm<br />

mm<br />

3<br />

5<br />

cm<br />

11<br />

10<br />

9<br />

8<br />

7<br />

12<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

4<br />

10<br />

.<br />

3.<br />

The obtuse angle of a = °<br />

4. Write the composite numbers from 11 to 20.<br />

, , , , and<br />

5. The LCD of 3 4 and 2 3 is .<br />

6. Circle +4 on the number line.<br />

7. (8 × 4) ÷ (16 ÷ 4) =<br />

8. This is a net of a<br />

9. 8 10 – 3 10 =<br />

10. 8 10 +<br />

8<br />

100 =<br />

.<br />

11. The time is 6.00 a.m. in Ireland and 9 a.m. in Kenya on<br />

the same day. What is the time difference?<br />

12. Simplify 12<br />

13. 6 2 =<br />

a 30°<br />

16 .<br />

14. Draw a 180º rotation anticlockwise.<br />

Review sample<br />

15. Tick the smallest.<br />

16. What is the chance of picking a blue pen if your pencil<br />

case has 4 red and 6 blue pens?<br />

in<br />

17. 200,000 – 70,000 =<br />

18. Round 5.27 to one decimal place.<br />

19. 400,000 + 900,000 =<br />

2<br />

3<br />

20. A decagon has sides.<br />

3<br />

9<br />

4<br />

6<br />

6 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. What will the speeding fine be?<br />

90<br />

5 – 12 km/h over €115<br />

13 – 19 km/h over €175<br />

20 – 29 km/h over €250<br />

1. Write the numeral zero<br />

point zero, zero two.<br />

2. Round 8.57 to one decimal<br />

place.<br />

13. 40% of €60.00 =<br />

€<br />

14. Draw a 270º rotation<br />

anticlockwise.<br />

Week 2<br />

2. How many odd-numbered houses are in a street<br />

with houses from 1 – 43?<br />

Tuesday<br />

1. Mark ate 1 4 of a pizza. Kim ate 1 2 of what was left.<br />

What fraction of the pizza was eaten?<br />

2. Draw the top view of the 3-D shapes.<br />

Wednesday<br />

1. What is the size of Angle a?<br />

°<br />

2. What is the size of Angle b?<br />

1. Yes ✔ No ✘<br />

To calculate 4 × 44<br />

°<br />

Thursday<br />

(a) double 44 and add 44.<br />

(b) double 44 and double the answer.<br />

(c) (40 × 4) + (4 × 4)<br />

(d) (44 + 4) × 4<br />

2. Gina halved a number, subtracted 4 and added 5.<br />

The answer was 21. What number did she start with?<br />

a<br />

150° b<br />

3. 136 ÷ 10 = r<br />

4. Name this shape.<br />

5. Circle –3 on the number<br />

line.<br />

-5 -4 -3 -2 -1 0<br />

6. This is a net of a<br />

7. What is the diameter of a<br />

circle if its radius is<br />

5 cm?<br />

cm<br />

8. (8 × 4) – 2 =<br />

9. The time is 7 a.m. in<br />

Ireland and 9 a.m. in South<br />

Africa. What is the time<br />

difference?<br />

10. 80 + b = 50 × 3,<br />

so b =<br />

11. 250, 500, , 1,000<br />

12. 1,000,000 – 280,000 =<br />

1<br />

2<br />

3<br />

4<br />

5<br />

.<br />

15. Round 7.6 (nearest whole<br />

number).<br />

16. 2,000 ÷ 200 =<br />

17. What is the LCD<br />

of 3 4 and 1 2 ?<br />

18. 300,000 + 800,000 =<br />

19. Simplify 12<br />

20.<br />

21.<br />

15 .<br />

A<br />

The measurement at A<br />

is<br />

The<br />

is<br />

22. 7 – 0.3 =<br />

mm.<br />

mm tall.<br />

23. If there are £0.60 to €1.00,<br />

how many euro would you<br />

get for £12.00?<br />

€<br />

90 100<br />

Review sample<br />

80<br />

12 cm<br />

cm<br />

24. A jar has 4 red, 10 green<br />

and 6 blue cubes. The<br />

chance of randomly<br />

choosing a red cube is<br />

in .<br />

25. What is the place value of<br />

the 6 in 617,000?<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 7


MONDAY<br />

TUESDAY<br />

Week 3<br />

1.<br />

9<br />

100 +<br />

9<br />

10 = 0.<br />

2. 4 5 + 3 5 + 4 5 =<br />

3. Circle the approximate size of this angle.<br />

20° 45° 80°<br />

1.<br />

7<br />

100 +<br />

7<br />

10 = 0.<br />

2. 2 5 = %<br />

3. 11 5 – 4 5 =<br />

4. 9 + 2 × 10 =<br />

4. 80,000 + 20,000 =<br />

5. Write one million, one thousand and ten as a numeral.<br />

6. 40 × 4 5 =<br />

7. 750,000 + 250,000 =<br />

8. The factors of 8 are , , and .<br />

9. An architect is drawing house plans. A large window<br />

measures 10 m long and needs to be drawn on paper as<br />

10 cm long. Which is the scale?<br />

1:10 1:1 1:100<br />

10. What is the length of a wall<br />

shown as 7 cm in the same house?<br />

11. 2.09 > 2.10 True False<br />

12. Tick the smallest.<br />

13. 10 – 0.1 =<br />

1<br />

2<br />

14. Circle +6 on the number line.<br />

15. (16 ÷ 4) + 6 =<br />

16. Double 8.6.<br />

17. How many of Box B will fit evenly into Box A?<br />

18. Write the prime number that comes after 19.<br />

2<br />

5<br />

9<br />

10<br />

5. 5 – 0.05 =<br />

6. 7 294 =<br />

7. What is the radius of the circle?<br />

cm<br />

8. Write the numeral one point zero, zero two.<br />

9. 3 3 = 3 × 3 × 3 =<br />

10. What is the value of the 3 in 3,211,211?<br />

11. A tetrahedron has<br />

faces.<br />

edges.<br />

vertices.<br />

12. 143 ÷ 10 = r<br />

13. 3, 9, 16, 24, , 43<br />

14. If a clock shows 6 o’clock, what is the angle between<br />

the hands?<br />

°<br />

15. What is the volume of this block?<br />

Review sample<br />

A<br />

2 cm<br />

2 cm<br />

2 cm<br />

B<br />

1 cm<br />

1 cm 1 cm<br />

cm 3<br />

16. 700,000 + 300,000 =<br />

17. 31 × 9 = 279, 30 × 9 = 270, 29 × 9 =<br />

8 cm<br />

5 cm<br />

2 cm<br />

2 cm<br />

19. Round 6.09 to one decimal place.<br />

20. The time is 10 p.m. in Ireland and 11 p.m. in Italy on the<br />

same day. What is the time difference?<br />

18. Round 6.09 to one decimal place.<br />

19. 24 × 3 8 =<br />

20. A shop has a 10% discount on all items. What will you<br />

pay for a pair of shoes, originally priced at €50?<br />

€<br />

8 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 9 2 =<br />

2. If a bucket contains 2 red balls, 5 green balls and 13<br />

yellow balls, what chance have you of choosing a red ball?<br />

in<br />

3. The factors of 9 are , and .<br />

4. 200 – b = 110, so b =<br />

5. Tick the largest.<br />

6. Simplify 15<br />

18 .<br />

3<br />

12<br />

7. Circle –4 on the number line.<br />

8. Circle the approximate size of this angle.<br />

9. 1,000 – 50 =<br />

10. 60,000 + 50,000 =<br />

3<br />

4<br />

90° 10° 80°<br />

11. <strong>New</strong> house plans show a wall 20 metres in length, drawn<br />

on paper as 20 cm long. Which is the scale?<br />

1:1 1:100 1:2<br />

12. A square-based pyramid has<br />

faces.<br />

edges.<br />

vertices.<br />

13. A 20% discount on a €100 pair<br />

of shoes means you pay € .<br />

14. (9 × 9) – 20 =<br />

15. The circumference of a circle is approximately<br />

how many times longer than the diameter?<br />

16. How many of Box B will fit evenly into Box A?<br />

17. 29.5 ÷ 10 =<br />

18. If there are £0.60 to €1.00, how many euro would you<br />

get for £6.00?<br />

3<br />

6<br />

1. 7 2 =<br />

2. A new house plan shows the living room<br />

window 8 m in length, drawn on paper as 8 cm.<br />

Which is the scale?<br />

1:8 1:100 1:1<br />

On the circle diagram, label<br />

3. the radius ‘A’.<br />

4. the diameter ‘B’.<br />

5. the circumference ‘C’.<br />

6. 4 5 = %<br />

7. 3 – 0.05 =<br />

8. 2 5 = 2 × 2 × 2 × 2 × 2 =<br />

9. 800,000 + 300,000 =<br />

10. Name this shape.<br />

11. 307 ÷ 10 = r<br />

12. (6 × 7) – (4 × 5) =<br />

13. Write the numeral zero point zero, zero four.<br />

14.<br />

Angle = °<br />

15. How would you write midnight in 24-hour time?<br />

16. 30 × 5 6 =<br />

hours<br />

Review sample<br />

A<br />

3 cm<br />

3 cm<br />

3 cm<br />

B 1 cm<br />

1 cm<br />

1 cm<br />

17. Write the numeral one million, one thousand, one<br />

hundred and one.<br />

18. 41.2 ÷ 10 =<br />

19. Double 0.9.<br />

20. What is the volume? m 3<br />

Week 3<br />

€<br />

19. Round 20.54 to one decimal place.<br />

2 m<br />

20. Find the LCD of 1 3 and 3 5 .<br />

3 m<br />

4 m<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 9


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 3<br />

Monday<br />

1. Write the numbers 1, 2, 3 and 4 on the spinner.<br />

(a) 1 has a 1 in 4 chance.<br />

(b) 2 has a 25% chance.<br />

(c) 3 and 4 have the same chance.<br />

2. Write as a number sentence. There are 210 golf<br />

balls shared evenly among 10 buckets. How many<br />

golf balls in each bucket?<br />

Tuesday<br />

1. What area do the flowers occupy? m 2<br />

2. Claire spent 1 4 of her money buying clothes. She had<br />

€90 left. How much money had she to begin with?<br />

€<br />

flowers<br />

paving<br />

=<br />

Wednesday<br />

1. A non-stop fast train took 4 hours to cover 1,000 km.<br />

What was the average speed?<br />

4 m<br />

km/h<br />

2. Write as a number sentence. 32 golf balls in each of<br />

10 buckets. How many golf balls altogether?<br />

=<br />

4 m<br />

1. 10 2 =<br />

2. If there are £0.60 to €1.00,<br />

how many euro would you<br />

get for £12.00?<br />

€<br />

3. 3 5 + 4 5 =<br />

4. 5 – 0.02 =<br />

5.<br />

A<br />

2 cm<br />

How many of Box B will<br />

fit evenly into Box A?<br />

6. The factors of 10 are<br />

, ,<br />

and .<br />

7. 2 5 = 2 × 2 × 2 × 2 × 2 =<br />

8. Round 7.07 to one<br />

decimal place.<br />

9. Tick the smallest.<br />

1<br />

3<br />

2 cm<br />

2 cm<br />

8<br />

9<br />

B 1 cm<br />

1 cm 1 cm<br />

3<br />

6<br />

10. An architect has drawn new<br />

house plans. A window<br />

12 m long is drawn on<br />

paper as 12 cm. Which is<br />

the scale?<br />

1:12 1:1<br />

1:100<br />

11. Circle –3 on the number<br />

line.<br />

14. A shop has a 10% discount.<br />

What is the new price for<br />

an item tagged at €80.00?<br />

€<br />

15. What is the size of<br />

this angle?<br />

°<br />

16. The time is 8 p.m. in Ireland<br />

and 9 p.m. in France. What<br />

is the time difference?<br />

17. 3 5 = %<br />

18. 25 × 4 5 =<br />

19. Write one million, one<br />

thousand and eleven as<br />

a numeral.<br />

20. 29.5 ÷ 10 =<br />

21. Draw a line to show the<br />

diameter on this circle.<br />

22. What is the place value of<br />

the 2 in 2,411,333?<br />

23. If a clock shows 6 o’clock,<br />

what is the size of the angle<br />

of the hands?<br />

Review sample<br />

-5 -4 -3 -2 -1 0<br />

1<br />

2<br />

3<br />

4<br />

5<br />

°<br />

24. What is the LCD<br />

of 2 3 and 1 5 ?<br />

Thursday<br />

1. A safe holds 10 × €200, 20 × €100,<br />

200 × €20 and 500 × €50.<br />

The total amount is € .<br />

2. Dylan halved a number and multiplied it by 3.<br />

The answer was 12.<br />

What number did he start with?<br />

12. 900,000 + 200,000 =<br />

13. What is the volume of a fish<br />

tank 2 m wide, 4 m long<br />

and 3 m high?<br />

m 3<br />

25. 31 × 8 = 248,<br />

30 × 8 = 240,<br />

29 × 8 =<br />

10 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. Write the prime numbers from 10 to 20.<br />

2. Simplify 20<br />

25 .<br />

, , and<br />

1. Write the next 2 prime numbers after 20.<br />

and<br />

2. Tick the smallest.<br />

3<br />

4<br />

3<br />

6<br />

2<br />

8<br />

Week 4<br />

3. What is the simplified ratio of boys to girls if a class has<br />

20 boys and 10 girls?<br />

4. 600 + 900 =<br />

5. Add brackets to this number sentence.<br />

6 × 4 + 3 ÷ 3 = 25<br />

6. 29.3 ÷ 10 =<br />

7. 10 – 0.2 =<br />

8. 4,000 ÷ 400 =<br />

9. 35,000 + 65,000 =<br />

10. The time is 4 p.m. in Ireland and 10 p.m. in India on the<br />

same day. What is the time difference?<br />

11. Round 7.89 to one decimal place.<br />

12. 3 5 = %<br />

13. 100 ÷ 10 =<br />

14. 42 × 9 = 378<br />

41 × 9 = 369<br />

40 × 9 = 360<br />

39 × 9 =<br />

15. 1.2, , 0.8, 0.6, 0.4<br />

16. This is a net of a<br />

17.<br />

2 cm<br />

A B 1 cm<br />

3 cm<br />

3 cm<br />

How many of Box B will fit evenly into Box A?<br />

.<br />

3. 1 3 4 + 2 3 4 =<br />

4. 50% off a €300 item = €<br />

5. Circle +3 on the number line.<br />

6. Write the numeral one million, one hundred<br />

and ten thousand.<br />

7. 8 – 0.9 =<br />

8. How many degrees has a pentagon?<br />

°<br />

9. 7.70 > 7.09 True False<br />

10. 25,000 + 45,000 =<br />

11. 10 6 =<br />

12. The arc of a circle is part of the<br />

circumference.<br />

13. Name this triangle.<br />

diameter.<br />

14. A fish tank is 3 m long by 2 m wide by 3 m high.<br />

What is its volume?<br />

m 3<br />

15. What is the simplified ratio of boys to girls if there are<br />

6 boys and 12 girls in a class?<br />

Review sample<br />

1 cm<br />

1 cm<br />

16. Round 8 3 5 .<br />

2 m<br />

180°<br />

180°<br />

3 m<br />

180°<br />

3 m<br />

18. Will a square and a circle tessellate together?<br />

19. Name this shape.<br />

17. Halve 10.5.<br />

18. How many halves in 2?<br />

19. 27 × 3 9 =<br />

20. Add brackets to this number sentence.<br />

3 × 8 – 5 × 2 = 14<br />

20. 10 4 = × × × =<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 11


WEDNESDAY<br />

THURSDAY<br />

Week 4<br />

1. Write the composite numbers from 11 to 20.<br />

, , , , and<br />

2. If a clock shows 3 o’clock, which is the size<br />

of the inside angle between the hands?<br />

45º 90º 180º<br />

3. Simplify 8 24 .<br />

11<br />

10<br />

9<br />

8<br />

7<br />

12<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

1. Write the composite numbers from 21 to 30.<br />

, , , , , ,<br />

and<br />

2. Tick the largest.<br />

3<br />

6<br />

3. If there are £0.60 to €1.00, how many euro would you<br />

get for £30.00?<br />

6<br />

9<br />

1<br />

3<br />

4.<br />

€<br />

Abacus =<br />

5. Which is the scale if a house plan shows a wall 3 cm<br />

long but it is actually 3 m long?<br />

1:1 1:10 1:100<br />

6. Round 8.96 to one decimal place.<br />

7. 8 504 =<br />

8. The factors of 12 are<br />

, , , , and .<br />

9. A wizard’s special potion needs<br />

250 m of beetroot juice.<br />

Colour the amount.<br />

10. 400,000 + 700,000 =<br />

11. 4 1 5 – 3 5 =<br />

12. How many of Box B will<br />

fit evenly into Box A?<br />

13. 16,500 + 9,500 =<br />

14. 12 × 11 =<br />

15. 10 5 =<br />

16. 10.6 ÷ 10 =<br />

17. Double 1 2 .<br />

18. This is a net of a<br />

1 cm<br />

1,500 m<br />

1,000 m<br />

500 m<br />

A B 1 cm<br />

2 cm<br />

5 cm<br />

1 cm<br />

1 cm<br />

4. b – 45 = 55, so b =<br />

5. LCD of 3 4 and 5 6 is .<br />

6. Circle –4 on the number line.<br />

7. Round 19.8 to the nearest whole number.<br />

8. 4 8 = %<br />

9. Which line is the diameter, a, b or c?<br />

10. 72°<br />

36° This regular pentagon has<br />

72°<br />

36°<br />

108°<br />

scalene triangles.<br />

isosceles triangles.<br />

equilateral triangles.<br />

11. What is the probability of being born on a Monday?<br />

in<br />

12. 6 2 5 – 4 5 =<br />

13. Will a hexagon and a square tessellate together?<br />

14. 75,000 + 25,000 =<br />

15. Write the numeral one million, one hundred and<br />

one thousand.<br />

16. Double 1 4 .<br />

36°<br />

36°<br />

36°<br />

Review sample<br />

108°<br />

17. What is the simplified ratio of girls to boys if a class<br />

has 5 girls and 20 boys?<br />

c<br />

a<br />

b<br />

.<br />

18. 36 × 4 9 =<br />

19. If a €100 item is reduced by 25%, what is the new price?<br />

19. Write one and one tenth as a decimal.<br />

20. How many halves in 3?<br />

€<br />

20. 2.97, 2.98, 2.99, , 3.01,<br />

12 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. Ethan had 5 × €1, 5 × 50c and 6 × 20c coins.<br />

Ethan ordered 4 hot chocolates and his father<br />

picked up the shortfall of € .<br />

2. A, B and C are numbers.<br />

Find the number each letter<br />

represents.<br />

A = B = C =<br />

Tuesday<br />

1. David doubled a number, added 8 and divided it by 5.<br />

His answer was 6. What number did he start with?<br />

2. The scientists in Antarctica counted an average of<br />

75 penguins in a 10 m 2 area. How many penguins<br />

are possible in 1,000 m 2 ?<br />

Wednesday<br />

1. Emily surveyed places to eat in her town.<br />

cafes (5), bakeries (3), restaurants (7), pizzerias (7),<br />

chippers (2), burger bars (4)<br />

In its lowest terms, what is the fraction of cafes<br />

and restaurants?<br />

2. Liam ate 75% of his cereal. What decimal was left?<br />

Thursday<br />

Work out the sizes of the angles<br />

of the regular pentagon. a<br />

Use this<br />

to help.<br />

72°<br />

36°<br />

72°<br />

108°<br />

36°<br />

36°<br />

108°<br />

36°<br />

36°<br />

1. a = ° + ° = °<br />

b = ° + ° = °<br />

108°<br />

b<br />

€2.50<br />

B 3 A<br />

+ C 2 B<br />

5 A 9<br />

c<br />

108°<br />

1. Write the prime numbers<br />

between 20 and 30.<br />

and<br />

2. 8 408 =<br />

3. 50% off a €700 item,<br />

4.<br />

new price =<br />

€<br />

Name this 3-D shape.<br />

5. 35,000 + 15,000 =<br />

6. The diameter of a circle is<br />

20 cm. What is the radius?<br />

7. 2.60 > 2.06<br />

True<br />

cm<br />

8. a + 55 = 100,<br />

so a =<br />

9. 36 × 3 9 =<br />

False<br />

10. Round 9.98 to one<br />

decimal place.<br />

11. (7 × 5) – (10 ÷ 2) = 40<br />

True<br />

False<br />

12. 2 5 = %<br />

13. The factors of 14 are<br />

14.<br />

, ,<br />

and .<br />

A<br />

2 cm<br />

2 cm<br />

3 cm<br />

B<br />

1 cm<br />

1 cm<br />

1 cm<br />

How many of Box B will fit<br />

evenly into Box A?<br />

15. Double 1 4 .<br />

16. 10 5 =<br />

17. 6 1 5 – 3 5 =<br />

18. If there are £0.60 to<br />

€1.00, how many euro<br />

would you get for £30.00?<br />

€<br />

19. 6 8 = %<br />

20. Abacus =<br />

21. A pentagonal<br />

prism has<br />

22. Simplify 21<br />

faces.<br />

edges.<br />

vertices.<br />

24 .<br />

23. What is the simplified ratio<br />

of boys to girls if there are<br />

9 boys and 18 girls?<br />

24. How many halves in 4?<br />

Review sample<br />

25. 10.4 ÷ 10 =<br />

Week 4<br />

2. c = ° + ° + ° = °<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 13


MONDAY<br />

TUESDAY<br />

Week 5<br />

1. The factors of 15 are<br />

, , and<br />

2. Colour 0.6.<br />

3. Circle the prime number.<br />

21 23 25<br />

4. 6 8 = %<br />

5. Which net will make a pyramid?<br />

6. 10 – 0.08 =<br />

7. Add brackets to this number<br />

6 × 3 + 8 ÷ 2 = 22<br />

8. 4 km 80 m = km<br />

9. Draw this shape after . a 180°<br />

10. Halve 1 2 .<br />

11. 10 4 =<br />

12. A jar contains 10 blue, 4 red<br />

is the chance of picking a blue<br />

in<br />

13. On your house plans, a measurement<br />

for a kitchen window. If the<br />

should you draw the line?<br />

cm<br />

14. Name this shape.<br />

15. What is the place value of the<br />

16. 750,000 + 250,000 =<br />

17. What is the size of this angle?<br />

°<br />

1<br />

18. Tick the largest.<br />

2<br />

19. Write these temperatures on<br />

0 °C, 4 °C, –4 °C, –3 °C, 2 °C<br />

coldest<br />

20. What is the volume of a box<br />

50 cm by 30 cm by 20 cm?<br />

A<br />

clockwise.<br />

jelly<br />

m is<br />

1:100, how<br />

line.<br />

warmest<br />

cm 3 1. The factors of 16 are<br />

, ,<br />

2. The time is 2 a.m. in<br />

in China. What is the<br />

3. Halve 1 3 .<br />

4. Share €160.00 equally<br />

€ each<br />

5. 15,500 + 7,500 =<br />

6. 1 – 0.04 =<br />

7. Halve 1 4 .<br />

8. How many of Box B will<br />

fit evenly into Box A?<br />

9. Circle –2 on the number<br />

10. 7 1 10 – 8 10 =<br />

11. A tetrahedron has<br />

faces.<br />

edges.<br />

vertices.<br />

12. Name this shape.<br />

13. What is the simplified<br />

boys if there are 15 girls<br />

14. 25 × 2 5 =<br />

15. 85,000 + 15,000 =<br />

16. 3 4 km =<br />

17. The LCD of 7 10 and 3 4<br />

18. 2 40 m = .<br />

19. How many halves in<br />

20. Angle a =<br />

a<br />

.<br />

, and .<br />

Ireland and 10 a.m. on the same day<br />

time difference?<br />

B<br />

among 8 people.<br />

sentence.<br />

3 cm A<br />

B<br />

1 cm<br />

3 cm<br />

rotation 3 cm 1 cm 1 cm<br />

line.<br />

and 6 white beans. What<br />

one?<br />

of 8 indicated<br />

scale is long<br />

2 in 0.02?<br />

ratio of girls to<br />

to 3 boys?<br />

m<br />

is .<br />

9<br />

12<br />

1<br />

3<br />

the number<br />

5?<br />

°<br />

°C<br />

Review sample<br />

14 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 5 × 10 × 2,000 =<br />

2. Write the decimal zero point zero five.<br />

3. Simplify 20<br />

24 .<br />

4. 10 5 =<br />

1. 20 × 5 × 2,000 =<br />

2. 4 × b = 36, so b =<br />

3.<br />

What is the size of this angle? °<br />

Week 5<br />

5. Circle the composite number.<br />

29 30 31<br />

6. What is the perimeter of the square?<br />

m<br />

7. 2,000 – 350 =<br />

8. Draw after a 270º rotation anticlockwise.<br />

9. 1 3 = %<br />

10. 1 3 of = 4<br />

11. An octahedron has faces.<br />

12. How many of Box B will fit evenly into Box A?<br />

13. 5 2 10 – 7 10 =<br />

14. 17, 34, 68, , 272<br />

15. 82.95 ÷ 10 =<br />

16. A bus timetable shows 8-minute intervals between<br />

each stop. If a bus leaves at 9.02 a.m. and has 4 stops,<br />

what time will it reach its destination?<br />

17. Add brackets to this number sentence.<br />

9 × 3 – 18 ÷ 2 = 18<br />

18. A cuboid has<br />

faces.<br />

vertices.<br />

A<br />

4 cm<br />

19. What are the multiples of 8?<br />

edges.<br />

2 cm<br />

2 cm<br />

2.5 m<br />

B<br />

2 cm<br />

2 cm<br />

2 cm<br />

4. 25% of 800 =<br />

5. This is a net of a<br />

6. Simplify 18<br />

7. 12 × 9 =<br />

24 .<br />

8. Colour to show approximately 3 4 litre.<br />

9. 9 342 =<br />

10. On a plan, how many centimetres should a wall be if<br />

its actual length is 12 m and the scale is 1:100?<br />

cm<br />

11. Tick the smallest.<br />

9<br />

10<br />

12. Write five tenths as a decimal.<br />

Review sample<br />

Before<br />

9 6<br />

After<br />

13. 4 8 10 + 7 10 =<br />

14. How many halves in 4?<br />

15. Double 1 4 .<br />

16. 2 – 0.09 =<br />

17. 81 × 1 9 =<br />

18. 1 4 of = 20<br />

19. 71.69 ÷ 10 =<br />

.<br />

1<br />

100 m<br />

2<br />

5<br />

6<br />

10<br />

20. Write one million, one thousand, one hundred and eleven<br />

as a numeral.<br />

20. A regular octagon has a perimeter of 40 cm.<br />

What is the length of one side?<br />

cm<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 15


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 5<br />

Monday<br />

Mr Teacher's <strong>6th</strong> <strong>Class</strong><br />

Homework Excuses for 1st Week of October<br />

Dog chewed it<br />

Left at home<br />

1. The factors of 21 are<br />

, ,<br />

and .<br />

2. 25% of 900 =<br />

14. How many halves in 6?<br />

15. Add brackets to this number<br />

sentence.<br />

8 × 3 – 45 ÷ 9 = 19<br />

Left at school<br />

Fell out of bag<br />

0 2 4 6 8 10 12<br />

1. What was the fraction of homework that fell out<br />

of bags?<br />

2. What fraction either left their homework at<br />

school or at home?<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Tuesday<br />

1. A cake shop uses a large container of golden syrup<br />

each week. From Wednesdays to Sundays, the chef<br />

uses 3 5 of a container. Circle the litre level that will<br />

be left over for Mondays.<br />

2. On Tuesday morning, there was 5 litres left.<br />

How much was used on Monday?<br />

Wednesday<br />

1. 45 hundreds, 150 tens and 150 units is equal<br />

to .<br />

2. What 4 coins will make €2.90?<br />

Thursday<br />

1. Colour to show the parallel streets.<br />

litres<br />

2. A tap leaks 250 m every ten minutes. How long<br />

will it take to leak 1 litre?<br />

3. Write the numeral one<br />

million, one thousand<br />

and one.<br />

4. 73.55 ÷ 10 =<br />

5. 6 × b = 42, so b =<br />

6. Draw as a 90º rotation<br />

anticlockwise.<br />

7. What is the volume of a<br />

box 40 cm by 20 cm by<br />

30 cm?<br />

8. 35 × 3 5 =<br />

cm 3<br />

9. What is the LCD of<br />

3<br />

10 and 3 4 ?<br />

10. A fence 15 m long is drawn<br />

at a scale of 1:100. The<br />

length of the fence on<br />

paper will be<br />

11. Halve 1 2 .<br />

cm.<br />

12. Octahedron = faces<br />

13. 30 × 5 × 2,000 =<br />

16. 16, 32, 64,<br />

17.<br />

A<br />

8 cm<br />

How many of Box B will fit<br />

evenly into Box A?<br />

18. 5 3 10 – 7 10 =<br />

19. What is the perimeter of<br />

this square?<br />

20. Multiples of 7.<br />

Before<br />

49<br />

m<br />

21. 1 2 of = 8<br />

22. 9.1, 9.05, 9, , 8.9,<br />

8.85<br />

23. A bus timetable shows<br />

8-minute intervals between<br />

each stop. If a bus leaves at<br />

6.04 a.m. and has 3 stops,<br />

what time will it reach its<br />

final destination?<br />

Review sample<br />

24. 10 5 =<br />

2 cm<br />

2 cm<br />

1.5 m<br />

a.m.<br />

25. Circle –3 on the<br />

number line.<br />

-5 -4 -3 -2 -1<br />

0<br />

1<br />

B<br />

2 cm<br />

After<br />

2<br />

3<br />

2 cm<br />

2 cm<br />

4<br />

5<br />

minutes<br />

16 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. What is the average?<br />

85 75 65<br />

2. Write these decimals from smallest to largest.<br />

0.5 0.75 0.05<br />

, ,<br />

3. House plans are drawn using 1:100 as the scale. Measure<br />

this line and indicate the actual length in metres.<br />

m<br />

4. 3 4 kg = g<br />

5. 4.17 > 4.1 True False<br />

6. 5 – 0.07 =<br />

7. What is the area of a floor 8 m by 6 m? m 2<br />

8. Which is the inside angle between the hands?<br />

9. Halve 1 4 .<br />

45º 90º 9º<br />

10. Circle the prime number.<br />

27 28 2 9<br />

11. Write the numeral one million, five hundred and fifty<br />

thousand.<br />

12.<br />

A<br />

How many of Box B will fit evenly into Box A?<br />

13. The factors of 22 are , ,<br />

and .<br />

14. 25,000 + 75,000 =<br />

15. 9 + 7 × 2 =<br />

3 cm<br />

16. 2 5 = × × × × =<br />

17. 2 3 = %<br />

18. Write half past one in the<br />

morning as 24-hour time.<br />

19. 0.5 , 5 , , 500 , 5,000<br />

20. What is the height of the cylinder?<br />

B<br />

2 cm<br />

4 cm 2 cm<br />

1 cm<br />

2 cm<br />

mm<br />

450 mm<br />

11<br />

10<br />

9<br />

8<br />

7<br />

12<br />

6<br />

hours<br />

1<br />

2<br />

3<br />

4<br />

5<br />

1. What is the average?<br />

350 550 750<br />

2. How many thirds in 2?<br />

3. 75% of 100 =<br />

4. The sum of the angles in a square is º.<br />

5. 6 2 =<br />

6. Double 0.7.<br />

7. Name this shape.<br />

8. What is the simplified ratio of boys to girls<br />

if a class has 10 boys and 20 girls?<br />

9. Round 7.07 to one decimal place.<br />

10. b × 12 = 108, so b =<br />

11. Write these fractions from largest to smallest.<br />

7<br />

8<br />

12. 8 4 8 + 2 7 8 =<br />

1<br />

4<br />

, ,<br />

13. What is the volume of this block?<br />

cm 3<br />

14. The time is 1 p.m. in Ireland and 8 p.m. on the same day<br />

in Thailand. What is the time difference?<br />

15. Circle –5 on the number line.<br />

Review sample<br />

16. 1 4 of = 10<br />

17. Order from smallest to largest.<br />

0.7 0.75 7.05<br />

18. 80 × 50 =<br />

19. 47.5 ÷ 10 =<br />

, ,<br />

5 cm<br />

20. A hat contains 4 red and 6 blue marbles. What is the<br />

chance of randomly choosing a red marble? Draw a cross<br />

on the chance line.<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0<br />

A<br />

3<br />

6<br />

3 cm<br />

6 cm<br />

Week 6<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 17


WEDNESDAY<br />

THURSDAY<br />

Week 6<br />

1. 9 =<br />

2. A floor is 7 m by 4 m. Area = m 2<br />

3. Write these decimals from largest to smallest.<br />

0.22 0.2 0.02<br />

4. 75% of 200 =<br />

, ,<br />

5. What is the simplified ratio of girls to boys if a class has<br />

20 girls and 10 boys?<br />

6. Round 29.35 to the nearest whole number.<br />

7. Simplify 21<br />

24 .<br />

8. Draw as a 90º rotation clockwise.<br />

9. 3 3 =<br />

10. 1 2 kg = g<br />

11. Write six hundredths as a decimal.<br />

12. Name this 3-D shape.<br />

13. What is the radius of the circle?<br />

cm<br />

14. Circle the composite number.<br />

15. 8 1 3 – 2 3 =<br />

26 29 31<br />

16. Angle a = °<br />

as 100° + 80° + 70° + ° must equal 360°.<br />

17. This is a net of a<br />

18. 1 5 = %<br />

19. (16 – 7) – (12 ÷ 4) =<br />

20. Ivy had 5 cards (1–5) and shuffled the pack. What is the<br />

chance of picking a 4 randomly?<br />

.<br />

12 cm<br />

100° a<br />

80° 70°<br />

1. 25 =<br />

2. How many of Box B will<br />

fit evenly into Box A?<br />

3. How many thirds in 3?<br />

4. The angles in a rectangle = º<br />

5. 300, 30, 3,<br />

6. 300 ÷ c = 60, so c =<br />

7. Which triangle has no line of symmetry?<br />

3 c m<br />

8. 7 357 =<br />

9. Simplify 30<br />

36 .<br />

10. Write these fractions from largest to smallest.<br />

2<br />

5<br />

5 c m<br />

A<br />

4 c m<br />

1<br />

10<br />

, ,<br />

11. A square-based pyramid has<br />

faces.<br />

edges.<br />

vertices.<br />

12. Write nine hundredths as a decimal.<br />

13. 8.00 > 8.08 True False<br />

14. How many degrees?<br />

°<br />

15. 477 m = 477<br />

1,000 km = km<br />

16. 2 – 0.01 =<br />

17. 75% of 500 =<br />

On the circle diagram, label<br />

18. the radius ‘A’.<br />

19. the diameter ‘B’.<br />

20. the circumference ‘C’.<br />

2 cm<br />

3 c m<br />

B<br />

3 c m<br />

3 c m<br />

4 cm<br />

1<br />

2<br />

4 cm<br />

3 c m<br />

C<br />

3 cm<br />

5 c m<br />

1 cm<br />

B<br />

2 cm 2 cm<br />

Review sample<br />

5% 4% 20% 25%<br />

18 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. A sea container measures 6 m × 10 m × 3 m. TVs<br />

are packaged in 2 m × 3 m × 1 m boxes. How<br />

many TVs will fit in the sea container if there are 30<br />

TVs in each box?<br />

2. 12 The angle of rotation from 1 to 6<br />

1<br />

2 is 150°. Each consecutive clock<br />

1.<br />

11<br />

10<br />

9<br />

8<br />

7<br />

+<br />

6<br />

A A<br />

A<br />

1 0 8<br />

3<br />

4<br />

5<br />

A =<br />

number is equal to ° .<br />

Tuesday<br />

2. What is the value of 11 ten thousands and 9 ten<br />

thousands?<br />

Wednesday<br />

1. 1.65, 1.375, 1.11, 0.825, , 0.275<br />

2. 0.75, 0.625, , 0.375, 0.25<br />

Thursday<br />

1. Our difference is 5, our product is 24.<br />

The numbers are and .<br />

2. An engineer tested a table that could hold<br />

6 cubes, at each corner (X).<br />

3 cubes in between each corner (Y).<br />

1 cube in the middle (A).<br />

1. 16 =<br />

2. Order from smallest to<br />

largest.<br />

0.5 0.75 0.05<br />

, ,<br />

3. What is the simplified ratio<br />

of boys to girls if there are<br />

12 boys and 24 girls?<br />

4.<br />

4 cm<br />

How many of Box B will fit<br />

evenly into Box A?<br />

5. 1 4 kg = g<br />

6. c × 12 = 132,<br />

so c =<br />

7. What is the area of a floor<br />

7 m by 6 m?<br />

8. 9 – 0.01 =<br />

m 2<br />

9. 75,000 + 25,000 =<br />

10. How many thirds in 4?<br />

11. 7 427 =<br />

12. Write twelve forty in the<br />

morning as 24-hour time.<br />

13. 7.07 > 7.70<br />

True<br />

2 cm<br />

4 cm<br />

hours<br />

False<br />

1 cm<br />

2 cm 2 cm<br />

14. Order these fractions from<br />

largest to smallest.<br />

15. Double 0.8.<br />

16. An angle in<br />

a rectangle = °<br />

17. 387 m = 387<br />

1,000 km<br />

= km<br />

18. 38.5 ÷ 10 =<br />

19. House plans are drawn<br />

using 1:100 as the scale.<br />

Measure this line and<br />

indicate the actual length<br />

in metres.<br />

m<br />

20. 2 5 = %<br />

21. Cards numbered 1 to 10<br />

were shuffled. Draw a<br />

cross to show the chance<br />

of randomly picking<br />

either a 7, 8, 9 or 10.<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0<br />

22. 7 6 8 + 2 4 8 =<br />

23.<br />

This is a net of a<br />

Review sample<br />

X Y X<br />

Y A Y<br />

X Y X<br />

5 KG<br />

24. 75% of 500 =<br />

25. What is the average?<br />

250 100 550<br />

.<br />

Week 6<br />

1<br />

2<br />

8<br />

10<br />

2<br />

5<br />

What is the total weight limit of this table?<br />

, ,<br />

kg<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 19


MONDAY<br />

TUESDAY<br />

Week 7<br />

1. 16 =<br />

2. Write these decimals from smallest to largest.<br />

0.4 0.04 0.44<br />

3. Draw a 180º rotation<br />

clockwise.<br />

, ,<br />

1. 81 =<br />

2. What is the simplified ratio of boys to girls if there are<br />

18 boys and 9 girls?<br />

3. 1 5 kg = g<br />

4. 1 4 of = 7<br />

4. 1 – 0.98 =<br />

5. How many thirds in 5?<br />

6. Write the missing angle. º<br />

7. 6 + 4 × 2 =<br />

8. The average of these numbers is .<br />

4 5 3 7 6<br />

9. How many faces<br />

has an octahedron?<br />

10. What is the place value of the 2 in 3.812?<br />

11. 1, 4, 9, , 25<br />

12. The factors of 24 are , , ,<br />

13. How many of Box B<br />

will fit into Box A?<br />

14. 10 2 =<br />

, , , and .<br />

15. 2,000 – = 1,200<br />

16. (15 + 5) + (6 × 5) =<br />

17. This is a net of a<br />

2 cm<br />

4 cm<br />

3 cm<br />

60°<br />

4 cm<br />

60°<br />

?<br />

1 cm<br />

1 cm<br />

5. Round 17.73 to one decimal place.<br />

6. 10 5 =<br />

7. The next prime number after 19 is .<br />

8. 4 5 = %<br />

9. 9,000 ÷ 90 =<br />

10. 15% of €50.00 = €<br />

11. Write twelve hundredths as a decimal.<br />

12. The measurement at A =<br />

cm<br />

13. Name this shape.<br />

14. Write these fractions from smallest to largest.<br />

4<br />

5<br />

15. 2 5 of = 12<br />

16. (15 + 15) + (6 × 5) =<br />

17.<br />

120°<br />

9<br />

10<br />

, ,<br />

a<br />

80<br />

A<br />

100<br />

Review sample<br />

1<br />

4<br />

cm<br />

60° 120°<br />

.<br />

Angle a = °<br />

18. 1 8 = m<br />

18. Write one minute past one in the afternoon as<br />

19. 7 3<br />

10 – 8 10 =<br />

24-hour time.<br />

hours<br />

20. If there are £0.60 to €1.00, how many euro would you<br />

get for £15.00?<br />

€<br />

19. 2 kg 55 g = 2 55<br />

1,000 kg = kg<br />

20. 8.009 < 8.02 True False<br />

20 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 36 =<br />

2. Write these decimals from largest to smallest.<br />

0.06 0.6 0.006<br />

, ,<br />

3. 1 – 0.96 =<br />

4. How many quarters in 2?<br />

90° 90°<br />

1. 64 =<br />

2.<br />

3.<br />

5 cm<br />

2 cm<br />

2 cm<br />

3 cm<br />

1 cm 1 cm<br />

How many of Box B will fit evenly into Box A?<br />

Week 7<br />

5. Write the missing angle. º<br />

6. 7.006 < 7.05 True False<br />

7. What is the average?<br />

9 11 8 12 10<br />

8. Draw a 270º rotation clockwise.<br />

9. The LCD of 1 8 and 2 3 is .<br />

10. 40,000 – = 10,000<br />

11. 10 4 =<br />

12. A cafe’s fish tank is 5 m × 7 m × 2 m.<br />

The volume = m 3<br />

13. The time is 3 a.m. in Ireland and 4 a.m.<br />

in Sweden. What is the time difference?<br />

14. Colour to +3 ºC on the thermometer.<br />

15. Simplify 21<br />

27 .<br />

16. 2 5 kg = g<br />

17. 3 4 5 + 1 3 5 =<br />

18. An octahedron has faces.<br />

19. 3 m 3 cm = 3 3<br />

100 m = . m<br />

20. The angle size of<br />

a is º.<br />

b is º.<br />

a<br />

30°<br />

b<br />

90° ?<br />

°C<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

Circle the angle which is 45°.<br />

4. 1 – 0.95 =<br />

5. 1 8 kg = g<br />

6. 1.85, 1.9, 1.95, , 2.05<br />

7. 15% of €40.00 = €<br />

8. 2 4 =<br />

9. The next composite number after 20 is .<br />

10. 1 3 = %<br />

11. Write the numeral one million and ten.<br />

12. 2.003 < 2.030 True False<br />

13. 850 g = 850<br />

1,000 kg = . kg<br />

14. What is the simplified ratio of 27 boys to 9 girls?<br />

15. If a room is 7 m by 10 m,<br />

what is the floor area? m 2<br />

0 0 16. Round 16.34 to one decimal place.<br />

17. 2 3 of = 16<br />

18. (5 × 10) ÷ (6 – 4) =<br />

19. A cube has<br />

°C<br />

faces.<br />

5 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

Review sample<br />

edges.<br />

vertices.<br />

20. Colour to –4 °C on the thermometer.<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 21


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 7<br />

Monday<br />

1. A shop advertised a TV for €800 plus VAT. If the VAT<br />

was 20%, what was the total cost of the TV?<br />

2.<br />

1.<br />

2.<br />

€<br />

= 1 m 2<br />

The area of each tetromino is 4 m 2 . Which<br />

tetromino has a different perimeter?<br />

4 cm<br />

A<br />

Tuesday<br />

The perimeter of A and B is 16 cm each.<br />

Are the areas of A and B equal?<br />

6 cm<br />

A<br />

The area of A = 36 cm 2 . The area of B = 20 cm 2 .<br />

Perimeter of A =<br />

Perimeter of B =<br />

Wednesday<br />

cm<br />

cm<br />

1. Which of Monday’s tetrominoes is not symmetrical?<br />

2. Rotate the clock hand 90° clockwise.<br />

11<br />

10<br />

9<br />

8<br />

7<br />

4 cm<br />

12<br />

6<br />

6 cm<br />

1<br />

2<br />

3<br />

4<br />

5<br />

A B C D<br />

6 cm<br />

B<br />

Thursday<br />

1. Cheese was priced at €5.50 per 150 g.<br />

What was the weight of the cheese if €22.00 was<br />

charged?<br />

g<br />

TV<br />

2 cm<br />

10 cm<br />

B<br />

11<br />

10<br />

9<br />

8<br />

7<br />

2 cm<br />

12<br />

6<br />

€800<br />

+ 20% VAT<br />

1<br />

2<br />

3<br />

4<br />

5<br />

1. 100 =<br />

2. Order from smallest<br />

to largest.<br />

0.5 0.05 0.005<br />

3. 3 – 0.94 =<br />

, ,<br />

4. 2.85, 2.9, 2.95,<br />

5. 15% of €60.00 =<br />

€<br />

6. How many quarters in 3?<br />

7.<br />

a = °<br />

8. Write the numeral one<br />

million, one hundred<br />

and ten.<br />

9. What is the volume of a<br />

room 7 m by 3 m by 2 m?<br />

10.<br />

m 3<br />

Which angle is<br />

a right angle?<br />

11. 2 3 of = 8<br />

12.<br />

3 cm<br />

45°<br />

90°<br />

A B C D<br />

3 cm<br />

How many of Box B will fit<br />

evenly into Box A?<br />

13. 4 5 + 1 10 =<br />

3 cm<br />

1 cm<br />

14. 50,000 – c = 35,000,<br />

3 cm<br />

1 cm<br />

15. Draw as a 180º rotation<br />

clockwise.<br />

16. Write eleven fifty-two at<br />

night as 24-hour time.<br />

hours<br />

17. The average of the numbers<br />

8, 9, 4, 7 and 12<br />

is .<br />

18. A room 8 m by 5 m needs<br />

recarpeting.<br />

The area = m 2<br />

19. The next prime number<br />

after 23 is .<br />

20. Add brackets to this number<br />

sentence.<br />

7 × 8 ÷ 4 × 2 = 7<br />

21. 3 5 kg = g<br />

22.<br />

23.<br />

This is a net of a<br />

cm<br />

A =<br />

B =<br />

80<br />

A<br />

mm<br />

mm<br />

24. Write seven hundredths<br />

as a decimal.<br />

25. 6 + 4 × 4 =<br />

90 100<br />

Review sample<br />

a<br />

.<br />

10 20<br />

B<br />

2. How many days are there from the 1 st of April<br />

to the 1 st of July?<br />

so c =<br />

22 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. Write 2 1 4 as an improper fraction.<br />

2. 1 – 0.92 =<br />

3. What is the angle between the hands at 6 o’clock?<br />

1. Write 4 1 2 as an improper fraction.<br />

2. How many degrees in this angle?<br />

º<br />

Week 8<br />

°<br />

4. 100 = .<br />

5. 3 1 3 – 2 3 =<br />

6. c ÷ 5 = 100, so c =<br />

7. Write 1 10 as a decimal.<br />

8. Write the missing angle.<br />

°<br />

9. The average of these numbers is .<br />

5 8 6 4 7<br />

10. 0, 1, 1, 2, 3, 5, 8, , 21<br />

11. 12<br />

100 + 5<br />

100 = 0.<br />

12.<br />

13.<br />

This is a net of a .<br />

A fast train took 3 hours to complete its 750-km journey.<br />

Its speed was an average of<br />

14. 11 2 =<br />

15. 9, 27, 81, , 729<br />

16. 3 5 kg = g<br />

17. 60% of 40 =<br />

km/h.<br />

18. What is the area of a piece of paper 20 cm by 10 cm?<br />

19. How many degrees<br />

has a hexagon?<br />

º<br />

cm 2<br />

20. What is the size of each angle in a regular hexagon?<br />

º<br />

?<br />

180°<br />

180°<br />

70°<br />

180°<br />

180°<br />

65°<br />

3. Order these decimals from smallest to largest.<br />

0.07 0.7 0.007<br />

, ,<br />

4. What is the perimeter of a field 25 m long by 20 m wide?<br />

m<br />

5. How many quarters in 3?<br />

6. 5 1 5 – 4 5 =<br />

7. Write 5 10 as a decimal.<br />

8. Draw a 270º rotation<br />

anticlockwise.<br />

9. (9 × 4) ÷ (4 × 3) =<br />

10. Name this shape.<br />

11. Write one million, one hundred and eleven as a numeral.<br />

12. 3 5 = %<br />

13.<br />

How many of Box B will fit evenly into Box A?<br />

14. 3 4 m = 3 4<br />

1,000 =<br />

15. A triangular prism has<br />

Review sample<br />

16. 42<br />

faces. edges. vertices.<br />

17. Colour to –3º on the thermometer.<br />

18. Will a square and a right-angled<br />

triangle tessellate together?<br />

19. 15% of 80 =<br />

10 cm<br />

4 cm<br />

4 cm<br />

20. The LCD of 3 4 and 1 2 is .<br />

.<br />

2 cm<br />

1 cm<br />

1 cm<br />

Before After 5 0<br />

°C<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 23


WEDNESDAY<br />

THURSDAY<br />

Week 8<br />

1. Write 3 1 3 as an improper fraction.<br />

2. y ÷ 4 = 40, so y =<br />

3. 25 =<br />

4. 10 – 0.98 =<br />

5. How many quarters in 4?<br />

1. Write 2 3 4 as an improper fraction.<br />

2. Order these decimals from largest to smallest.<br />

0.04 0.44 0.004<br />

, ,<br />

3. Name this shape.<br />

6. Write 1<br />

100 as a decimal.<br />

7. 3 7<br />

10 + 2 7 10 =<br />

8. The average of these numbers is .<br />

25 24 30 26 20<br />

9. Peter ate 1 5 of a pizza. Alina ate another fifth.<br />

What fraction of the pizza was left?<br />

10. Write these fractions from smallest to largest.<br />

1<br />

2<br />

6<br />

8<br />

, ,<br />

11. Write ninety hundredths as a decimal.<br />

12. 6 1 3 – 2 3 =<br />

13. (100 – 50) – (4 ÷ 2) =<br />

14. Write the sizes of the angles.<br />

a = °<br />

b = °<br />

c = °<br />

15. An octahedron has faces.<br />

16. What is the perimeter of a fence around a field 35 m in<br />

width and 55 m in length?<br />

m<br />

120°<br />

17. How many faces has a triangular prism?<br />

18. The time is 2.20 p.m. in Ireland and 10.20 p.m. in Western<br />

Australia on the same day. What is the time difference?<br />

a<br />

30°<br />

b<br />

c<br />

30°<br />

2<br />

6<br />

60°<br />

60°<br />

120°<br />

30°<br />

4. Place value of the 7 in 7,111,233?<br />

5. 7,111,233 – = 7,000,000<br />

6. 10 – 0.95 =<br />

7. Write 5<br />

100 as a decimal.<br />

8. 25% of 60 =<br />

9. 12 2 =<br />

10. Write the missing angle.<br />

º<br />

11. 8 kg 12 g = 8 12<br />

1,000 kg = . kg<br />

12. 1 4 kg = g<br />

13. 9,000,000 + 3,500,000 =<br />

14.<br />

10 cm<br />

How many of Box B will fit evenly into Box A?<br />

15. 6 8 = %<br />

16. 90 × 9 = 810, 89 × 9 =<br />

17. Write the numeral fifteen point zero two.<br />

18. A pentagonal prism has<br />

faces.<br />

edges.<br />

vertices.<br />

3 cm<br />

2 cm<br />

70°<br />

110° 70°<br />

?<br />

3 cm<br />

1 cm<br />

Review sample<br />

2 cm<br />

19. What is the simplified ratio of bananas to apples if a fruit<br />

bowl contains 15 bananas and 5 apples?<br />

20. What is the chance of rolling a two on a dice?<br />

19. 3.3, 3.6, 3.9, , 4.5<br />

20. Jess had 5 shuffled cards 2, 3, 5, 7 and 11. What chance<br />

has she of selecting a 7?<br />

% or 0.<br />

in<br />

24 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

1.<br />

2.<br />

1. B B B =<br />

+ B<br />

6 0<br />

Monday<br />

How many triangles can you find?<br />

2. 7 A A =<br />

+ A 0<br />

8 A<br />

Tuesday<br />

Wednesday<br />

1. The length of the prism's base is mm.<br />

2. The width is 60% of the length = mm.<br />

1. <strong>Class</strong>ify and record.<br />

Lines of symmetry<br />

Vertical<br />

Horizontal<br />

Diagonal<br />

490 mm 520 mm<br />

Thursday<br />

✔<br />

2. 100 is a square number. It is also the sum of<br />

2 square numbers. What are these 2 numbers?<br />

1. Write 2 2 3 as an improper<br />

fraction.<br />

2. 10 – 0.92 =<br />

3. What is the perimeter of<br />

a field 50 m by 25 m?<br />

m<br />

4. Name this shape.<br />

5. c ÷ 3 = 300,<br />

so c =<br />

6. What is the area of a piece<br />

of paper 50 cm by 20 cm?<br />

cm 2<br />

7. 0, 1, 1, 2, 3, 5, , 13, 21<br />

8. 100 =<br />

9. 2.97, 2.98, 2.99,<br />

10. 15% of 40 =<br />

11. Write 1 10 as a decimal.<br />

12. 800,000 + 450,000 =<br />

13.<br />

14.<br />

A fast train took 4 hours<br />

to complete its 800-km<br />

journey. Its average speed<br />

was<br />

b = º<br />

km/h.<br />

15. How many quarters in 3?<br />

16. 6.03 + 6.003 =<br />

17. The average of 52, 45,<br />

50, 55 and 48<br />

is .<br />

18. 5 2 5 – 4 5 =<br />

19. 4 5 kg = g<br />

20. Larry ate 4 10 of a<br />

pizza and Linda ate<br />

another 1 5 . What<br />

fraction of the pizza<br />

did they eat?<br />

21. How many degrees has<br />

a hexagon?<br />

22. What is the chance of<br />

picking a King from<br />

a deck of 52 playing<br />

cards?<br />

in<br />

23. What is the perimeter of<br />

a fence around a garden<br />

25 m in width and 35 m<br />

in length?<br />

24. 5 7 10 + 3 9 10 =<br />

m<br />

25. How many of Cuboid B<br />

will fit into Cuboid A?<br />

Review sample<br />

✔<br />

✔<br />

110°<br />

70°<br />

b<br />

110°<br />

8 cm<br />

1 cm<br />

1 cm<br />

2 cm<br />

°<br />

6 cm<br />

3 cm<br />

Week 8<br />

and<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 25


MONDAY<br />

TUESDAY<br />

Week 9<br />

1. Write 3 2 as a mixed number.<br />

2. 5 – 0.91 =<br />

3. 9 =<br />

1. Write 7 3 as a mixed number.<br />

2. What is the simplified ratio of girls to boys if<br />

there are 15 girls and 5 boys?<br />

4. Write 6 10 as a decimal.<br />

5. Write the missing angle. º<br />

6. y × 300 = 30,000, so y =<br />

7. How many halves in 2?<br />

8. 2, 6, 18, , 162<br />

9. This is a net of a<br />

10. Circle the prime number.<br />

23 25 27<br />

11. Write one million, two hundred thousand as a numeral.<br />

12. 2.2 – 0.3 =<br />

13. Draw a 180º rotation clockwise.<br />

14. How many halves in 4? 4 ÷ 1 2 =<br />

15. What is the place value of the 4 in 8.204?<br />

16. 9<br />

10 + 9<br />

100 = 0.<br />

17. What is the sum of the angles in a hexagon? °<br />

.<br />

90°<br />

90°<br />

?<br />

90°<br />

3. Simplify 80<br />

100 .<br />

4. 7 2 =<br />

5. 8 8 10 + 1 2 10 =<br />

6. 49 =<br />

7. Write 24<br />

100 as a decimal.<br />

8. On a plan a wall measures 14 cm. The scale is 1:100.<br />

How long is the wall?<br />

m<br />

9. The average of these numbers is .<br />

10 3 0 7 5<br />

10. 1 4 kg = g<br />

11. How many fifths in 2? = 2 ÷ 1 5 =<br />

12. 8,000 ÷ 800 =<br />

13.<br />

Volume = cm 3<br />

14. What is the probability of picking a King from a deck<br />

of 52 playing cards?<br />

in<br />

15. 7.1 – 0.2 =<br />

16. 25% of 80 =<br />

180°Review sample<br />

180°<br />

180°<br />

180°<br />

17. 4 5 = %<br />

18. Write one million, nine hundred and nine thousand<br />

as a numeral.<br />

°C<br />

18. Order these decimals from largest to smallest.<br />

0.08 1.8 0.8<br />

, ,<br />

19. How many quarters in 5? 5 ÷ 1 4 =<br />

20. 80 , 150 , 850 , , 77,850<br />

19. A cuboid has<br />

faces.<br />

edges.<br />

vertices.<br />

20. Colour to –1 °C on the thermometer.<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

26 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. Write 5 2 as a mixed number.<br />

2. What is the simplified ratio of apples to pears if a fruit<br />

bowl contains 12 apples and 6 pears?<br />

1. Write 7 4 as a mixed number.<br />

2. Write 3<br />

100 as a decimal.<br />

3. Name this shape.<br />

Week 9<br />

3. y × 700 = 70,000, so y =<br />

4. Simplify 21<br />

24 .<br />

5. Write 9 10 as a decimal.<br />

6. Write the missing angle.<br />

º<br />

7. The factors of 28 are 1, , , ,<br />

and 28.<br />

8. The price of a new phone is €300 plus 20% VAT.<br />

The total is € .<br />

9. 100, 99, 97, 94, 90, , 79<br />

10.<br />

How many of Box B will fit evenly into Box A?<br />

7<br />

11. 3 km 7 m = 3 1,000 km = . km<br />

12. Colour to 0 °C on the thermometer.<br />

13. Will a circle and a semicircle<br />

tessellate together?<br />

14. 12 2 =<br />

A<br />

20 cm<br />

15. 75% off a €12 item = €<br />

16. What is the length of each side of the square?<br />

mm<br />

5 cm<br />

2 cm<br />

48 mm<br />

B<br />

5 cm<br />

120° 120°<br />

60° ?<br />

5 cm<br />

2 cm<br />

°C<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

4. 16 =<br />

5. The average of these numbers is .<br />

4 9 8 3 6<br />

6. This is a net of a<br />

7. 4 5 kg = g<br />

8. 8 ÷ 1 2 = How many halves in 8 wholes? =<br />

9. 2, 2.9, 3.8, 4.7, , 6.5<br />

10. Order these decimals from smallest to largest.<br />

0.5 1.5 0.55<br />

, ,<br />

11. There are 4 red, 3 green and 3 blue marbles in a bag.<br />

Circle the chance of randomly selecting a red marble<br />

on the chance line.<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0<br />

12. 10 4 =<br />

13. 3 4 7 + 5 6 7 =<br />

14. What is the simplified ratio of girls to boys if there are<br />

12 girls and 4 boys?<br />

Review sample<br />

15. 3 4 of 100 kg = kg<br />

16. 3 4 = %<br />

.<br />

17. A stack of 20c coins = €5.40<br />

How many coins are there?<br />

18. 1 4 of = 2<br />

19. How many fifths in 3? = 3 ÷ 1 5 =<br />

20. 8.9 – 0.9 =<br />

17. This is an<br />

isosceles triangle.<br />

equilateral triangle.<br />

18. 42 is a multiple of 6. True False<br />

19. 6.4 – 0.9 =<br />

20. Perimeter = cm<br />

60°<br />

60°<br />

60°<br />

7 cm<br />

2 cm<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 27


<strong>PR</strong>OBLEM-SOLVING<br />

10<br />

FRIDAY REVIEW<br />

Week 9<br />

1.<br />

Monday<br />

A fast train travels at 400 km/h. After a 2 1 2 -hour<br />

non-stop journey, what distance has the train<br />

travelled?<br />

km<br />

2. PIANO MAN<br />

Repaired black and white keys<br />

€300<br />

+ 20% VAT € A<br />

TOTAL € B<br />

Tuesday<br />

Complete the magic squares.<br />

1. 6 2.<br />

7<br />

9 2<br />

Wednesday<br />

1. It is 10.35 a.m. In twenty minutes time,<br />

the minute hand will have rotated<br />

°.<br />

2. Draw a clock hand, rotated<br />

90° anticlockwise from 2.<br />

Thursday<br />

1. What is the angle shown?<br />

°<br />

160<br />

170<br />

150<br />

140<br />

5<br />

4 3<br />

11<br />

10<br />

9<br />

8<br />

7<br />

130<br />

120<br />

110<br />

12<br />

6<br />

100<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

90<br />

80<br />

11<br />

10<br />

9<br />

8<br />

7<br />

70<br />

60<br />

50<br />

12<br />

6<br />

40<br />

30<br />

1<br />

2<br />

3<br />

4<br />

5<br />

20<br />

1. Write 9 4 as a mixed number.<br />

2. 64 =<br />

3. 1 4 of = 8<br />

4. Write 7 10 as a decimal.<br />

5.<br />

120° 120°<br />

60° c<br />

Angle c = °<br />

6. What is the<br />

perimeter of<br />

this square?<br />

7. 90 , 140 , 640 ,<br />

8. 3 10 + 3<br />

100 = 0.<br />

9. This is a net of a<br />

10. Simplify 15<br />

24 .<br />

, 55,640<br />

mm<br />

11. A stack of 20c = €7.20.<br />

How many coins are there?<br />

12. y × 700 = 70,000,<br />

so y =<br />

65 mm<br />

.<br />

16. Draw as a 270º rotation<br />

anticlockwise.<br />

17. 5,000 ÷ 500 =<br />

18. Order from smallest<br />

to largest.<br />

1.4 0.04 0.44<br />

, ,<br />

19. Name this 3-D<br />

shape.<br />

20. 3 ÷ 1 4 =<br />

21. The average of the numbers<br />

4, 6, 3, 0 and 2 is<br />

.<br />

22. Name this 2-D shape.<br />

23. What is the volume<br />

of a sea container<br />

15 m × 4 m × 2 m?<br />

m 3<br />

24. What is the simplified ratio<br />

of girls to boys if there are<br />

20 girls and 5 boys?<br />

Review sample<br />

25. 3 4 kg = g<br />

13. Write 75<br />

100 as a decimal.<br />

2. This trapezium is made up of two scalene triangles.<br />

Angle a = °<br />

Angle b = °<br />

a<br />

35°<br />

85°<br />

b<br />

40°<br />

35°<br />

14. 7 5 7 + 4 6 7 =<br />

15. Write 2 2 3 as an improper<br />

fraction.<br />

28 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 1 2 = = %<br />

2. 2 ÷ 1 2 =<br />

3. 4 =<br />

4. 4 2 =<br />

5. Write 7 10 as a decimal.<br />

6. 3,000 ÷ 300 =<br />

7. y × 800 = 80,000, so y =<br />

8. Name this 2-D shape.<br />

9. 1 8 = m<br />

10. The perimeter of a regular pentagon with 9-cm sides<br />

= cm.<br />

11. 40 + y = 50 × 2, so y =<br />

12. 10 – 0.93 =<br />

13.<br />

Area of rectangle = cm 2<br />

14. Perimeter of rectangle = cm<br />

15. 1, 1.8, 2.6, 3.4, , 5.0<br />

16. The LCD of 2 10 and 3 8 is .<br />

17.<br />

6 cm<br />

10 cm<br />

How many of Box B will fit evenly into Box A?<br />

18. 11<br />

12 – 3 12 =<br />

19. 0.7 + 0.8 =<br />

3 cm<br />

5 cm<br />

10 cm<br />

20. Complete the number line.<br />

.<br />

1 cm<br />

5 cm<br />

1 cm<br />

1. 1 4 = . = %<br />

2. Write the missing angle.<br />

º<br />

3. The radius of a circle is 5.2 cm.<br />

What is the diameter?<br />

cm<br />

4. The factors of 30 are 1, , ,<br />

5. This is a net of a<br />

, , , and 30.<br />

6. Write one hundredth as a decimal.<br />

7. What is the LCD of 2 5 and 1 4 ?<br />

8. What is the simplified ratio of boys to girls<br />

if there are 21 boys and 7 girls?<br />

9. A jar contains 5 green marbles, 4 orange marbles and<br />

11 red marbles. What is the probability of choosing an<br />

orange marble?<br />

in<br />

10. Record the above probability on the chance line.<br />

11. 3 4 – 1 2 =<br />

12. Double 2.7.<br />

13. Draw as a 180º<br />

rotation clockwise.<br />

14. Write these decimals from smallest to largest.<br />

0.8 0.08 8.8<br />

, ,<br />

15. How many quarters in 2? 2 ÷ 1 4 =<br />

16. 3 4 kg = g<br />

17. Round 23.88 to one decimal place.<br />

.<br />

100°<br />

110° 110°<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0<br />

Review sample<br />

?<br />

Week 10<br />

–3 –2 –1<br />

+1 +2 +3<br />

18. Write the values of a and b on the number line.<br />

– 6 – 4<br />

+2 +4 +6<br />

19. 0.9 + 0.7 =<br />

a<br />

b<br />

20. Write 4 1 3 as an improper fraction.<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 29


WEDNESDAY<br />

THURSDAY<br />

Week 10<br />

1. 1 8 = . = %<br />

2. What is the place value of the 2 in 8.712?<br />

3. 400 ÷ y = 50, so y =<br />

4. 2 ÷ 1 3 =<br />

5. Write these decimals from largest to smallest.<br />

0.01 0.11 0.1<br />

, ,<br />

6. How many days altogether are in March, April and May?<br />

7. 5 – 0.92 =<br />

8. 2 5 kg = g<br />

9. 15% of 100 =<br />

10. 3 5 = %<br />

11. (200 × 10) – (5 × 10) =<br />

12. How many degrees? °<br />

13. Halve 4.9.<br />

14. Circle the prime number.<br />

15. Write 15<br />

100 as a decimal.<br />

5 10 15<br />

16. How many of Box B will fit evenly into Box A?<br />

17. Area of rectangle = cm 2<br />

18. Perimeter of rectangle<br />

10 cm<br />

8 cm<br />

4 cm<br />

2 cm<br />

2 cm<br />

2 cm<br />

1. 80% = 5<br />

= 0.<br />

2. 2 ÷ 1 5 =<br />

3. 64 =<br />

4. If a wall is 5 m long and the scale is 1:100, how long is<br />

the wall on the plan in centimetres?<br />

cm<br />

5. Round 12.27 to one decimal place.<br />

6. Simplify 30<br />

40 .<br />

7. Write 2 10 as a decimal.<br />

8. 25% of 8 =<br />

9. 3, 3.7, 4.4, , 5.8<br />

10. The angles in a triangle add up to º.<br />

11. The diameter of a circle is 11 cm. What is the radius?<br />

cm<br />

12. The time is 3.30 p.m. in Ireland and 10.30 a.m. in <strong>New</strong><br />

York on the same day. What is the time difference?<br />

13. 2.3 – 0.8 =<br />

14. The factors of 32 are , , ,<br />

, and .<br />

15. This is a net of a .<br />

Review sample<br />

8 cm<br />

2 cm<br />

16. Circle the composite number.<br />

17 23 25<br />

17. 6.50 > 6.051 True False<br />

= cm<br />

18. Adam turned from north to south. He turned °.<br />

19. 10 6 =<br />

20. This is a net of<br />

A.<br />

B.<br />

C.<br />

B<br />

19. 2 3 = %<br />

20. Write 2 2 3 as an improper fraction.<br />

A<br />

C<br />

30 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. Which letter fits on the<br />

blank face of the cube?<br />

A<br />

B C D<br />

E<br />

F<br />

C<br />

1. 1 4 = . = %<br />

2. 3 4 – 1 2 =<br />

3. 2 ÷ 1 3 =<br />

4. 81 =<br />

5. Write 4 10 as a decimal.<br />

19. The factors of 18 are<br />

1, ,<br />

, ,<br />

and 18.<br />

20. How many degrees?<br />

Week 10<br />

2. Which letter is opposite A?<br />

Tuesday<br />

The tachometer reads the spinning of an engine.<br />

(RPM = revolutions per minute)<br />

1. How many RPM?<br />

2. How many RPM?<br />

Wednesday<br />

1.<br />

CORK 207 KM<br />

50 km ago, a lorry driver passed this sign.<br />

What distance is remaining to Cork?<br />

km<br />

LITTLE GOLDTOWN 805 KM<br />

2.<br />

The distance between Little Goldtown and Old<br />

Goldtown is<br />

(a)<br />

(b)<br />

(c)<br />

107 km BIG GOLDTOWN<br />

805 km + 107 km.<br />

805 km – 107 km.<br />

107 km + 107 km + 805 km.<br />

Thursday<br />

1. Pirate Pete was given 500 m of rope. He was<br />

instructed to cut the rope into 4 equal lengths.<br />

What will each of the new rope lengths be?<br />

m<br />

OLD GOLDTOWN<br />

1<br />

1<br />

2<br />

2<br />

0<br />

0<br />

3<br />

3<br />

4<br />

RPM<br />

1x1000<br />

4<br />

RPM<br />

1x1000<br />

5<br />

5<br />

8<br />

8<br />

6<br />

7<br />

6<br />

7<br />

107 KM<br />

6. 25% of 10 =<br />

7. 3.7 – 0.9 =<br />

8. 2 ÷ 1 4 =<br />

9. 0.9 + 0.6 =<br />

10. Write 10 3 as a mixed<br />

number.<br />

11. y × 50 = 3,000,<br />

so y =<br />

12. The diameter of a circle is<br />

15 cm. What is the radius?<br />

cm<br />

13. 2.6, 3.2, 3.8,<br />

14.<br />

10 cm<br />

How many of Box B will fit<br />

evenly into Box A?<br />

15. What is the perimeter of<br />

a regular hexagon with<br />

6-cm sides?<br />

cm<br />

16. Double 3.7.<br />

10 cm<br />

17. What is the LCD<br />

of 2 5 and 3 4 ?<br />

10 cm<br />

2 cm<br />

1 cm 1 cm<br />

21.<br />

°<br />

This is a net of<br />

A.<br />

B.<br />

C.<br />

C<br />

22. Order from smallest to<br />

largest.<br />

0.9 0.09 1.9<br />

23. 10<br />

12 – 4 12 =<br />

, ,<br />

24. 1 5 kg = g<br />

Review sample<br />

A<br />

25. The time is 4.15 p.m. in<br />

Ireland and 11.15 a.m. in<br />

<strong>New</strong> York on the same day.<br />

What is the time difference?<br />

B<br />

2. A match started at 2.15 p.m. It finished 2 1 4 hours<br />

later, but Dad stayed chatting to his friends for an<br />

extra half an hour. What time did Dad leave the<br />

stadium?<br />

p.m.<br />

18. Write the<br />

missing<br />

angle.<br />

°<br />

90°<br />

110° 110°<br />

?<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 31


MONDAY<br />

TUESDAY<br />

Week 11<br />

1. Choose the correct number. 300 metres below sea level.<br />

2. 3 2 + 4 2 =<br />

–300 m 300 m<br />

3. The temperature is –3 ºC.<br />

What will it be if it rises by 6 ºC? ºC<br />

4. Write the numeral one hundred and<br />

ten thousand.<br />

5. Jack had €80.00. He spent 60% of it on<br />

football boots. How much money had he left?<br />

€<br />

6. 1<br />

10 = %<br />

7. 2 ÷ 1 4 =<br />

8. Draw lines to match the lines of symmetry.<br />

2 0 4<br />

9. Write 35<br />

100 as a decimal.<br />

10. If there are US$0.90 to €1.00,<br />

how many euro for US$1.80? €<br />

11. 5 ÷ 0.5 =<br />

12. Draw lines to match the angle sizes.<br />

60° 90° 120°<br />

13. 10% of €50.00 = €<br />

14. Can a regular hexagon tessellate? Yes No<br />

15. 6 2 =<br />

16. 1 4 of = 2<br />

17. Draw a net of a cuboid.<br />

18. 2 ÷ 1 3 =<br />

19. Write these fractions from smallest to largest.<br />

2<br />

3<br />

1<br />

6<br />

, ,<br />

20. Liam selected a cube and kept rolling an even number.<br />

Tick Liam’s cube.<br />

B<br />

C<br />

A<br />

2 4 6<br />

4 2 6<br />

2 4 1<br />

6<br />

5<br />

3<br />

5<br />

9<br />

2<br />

5 4 3<br />

6<br />

1<br />

°C<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

1. Circle the smaller number.<br />

145,022 154,020<br />

2. Choose the correct number. 50 metres above sea level.<br />

–50 m 50 m<br />

3. What is the average shoe size of 6, 7 and 5?<br />

4. Order from smallest to largest.<br />

5. 36 =<br />

100% 10% 50%<br />

6. 4, 14, 34, 64,<br />

7. Area = cm 2<br />

, ,<br />

8. Perimeter = cm<br />

9. 2 10 = %<br />

10. b = º<br />

11. Write these decimals from smallest to largest.<br />

4.5 4.05 4.55<br />

12. 1 5 kg = g<br />

, ,<br />

13. What is the angle from north to east?<br />

°<br />

14. Round 5.26 to one decimal place.<br />

15. The product of two prime numbers is 33.<br />

a × b = 33<br />

a = b =<br />

16. 10 × = 8 × 5<br />

17. 1 ÷ 0.5 =<br />

18. 2 3 + 2 3 =<br />

19. Write the next 3 multiples of 6.<br />

36, , ,<br />

3 c m<br />

6 c m<br />

3 c m<br />

20. What is the simplified ratio of chocolates to jelly sweets<br />

if there are 3 chocolates and 12 jelly sweets?<br />

45°<br />

3 c m<br />

90° b<br />

Review sample<br />

3 c m<br />

W<br />

N<br />

S<br />

6 c m<br />

E<br />

32 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. Circle the larger number.<br />

2. 5 2 + 2 2 =<br />

560,040 560,440<br />

3. Write 3 1 3 as an improper fraction.<br />

4. Write the numeral two hundred and two thousand.<br />

5. Area = cm 2<br />

6. Perimeter = cm<br />

7. The cricket team scores 10, 30, 38 and 30.<br />

What is the average?<br />

8. 3 ÷ 1 4 =<br />

9. Write 7 10 as a decimal.<br />

10. Which is the end digit (unit) for 717 × 7?<br />

7 9 4 2<br />

11. Each angle in a rectangle has º.<br />

12. The factors of 21 are , ,<br />

and .<br />

13. 3<br />

10 = %<br />

14. What shape is the sign?<br />

15. Round 2.37 to one decimal place.<br />

16. How many quarters in 4?<br />

2 c m<br />

3 c m<br />

17. A rolled dice has a in chance of<br />

landing on a ‘6’.<br />

18. The product of 2 prime numbers is 14.<br />

2 cm<br />

5 c m<br />

2 cm<br />

House<br />

for sale<br />

4 cm<br />

1. Circle the smaller number.<br />

23,050 203,050<br />

2. The temperature is –4 ºC.<br />

What will it be if it rises by 5 ºC? ºC<br />

3. Draw double the size of this square.<br />

Show the measurements.<br />

4. By how many times has the area of the square increased?<br />

12 4 6<br />

5. Order from largest to smallest.<br />

25% 20% 30%<br />

, ,<br />

6. Write 7 4 as a mixed number.<br />

7. What is the average of these numbers?<br />

4 6 2<br />

8. 80 + y = 140, so y =<br />

9. 25 =<br />

10. What is the angle<br />

from north to south? °<br />

11. Write the missing angle. °<br />

12. Write these decimals from largest to smallest.<br />

2.005 2.5 2.05<br />

13. 5 10 = %<br />

14. 3 5 kg = g<br />

, ,<br />

Review sample<br />

2 c m<br />

2 c m<br />

15. Round 10.72 to one decimal place.<br />

16. Write these fractions from largest to smallest.<br />

W<br />

N<br />

S<br />

E<br />

120°<br />

°C<br />

60° 60°<br />

?<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

Week 11<br />

c × d = 14<br />

1<br />

5<br />

9<br />

10<br />

1<br />

2<br />

c = d =<br />

19. A pair of €50 jeans have 20% off.<br />

What is the new price? €<br />

20. Colour 4 5 .<br />

, ,<br />

17. 2 × = 4 × 4<br />

18. 60 + 40 = 30 + y, so y =<br />

19. 1 3 5 + 1 4 5 =<br />

20. If there are US$0.90 to €1.00, how<br />

many euro would you get for US$9.00? €<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 33


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 11<br />

Monday<br />

1. Which letter is missing from the blank face?<br />

2. Which letter is opposite B?<br />

Tuesday<br />

1. Alex had 10 cards numbered from 35 to 44. When<br />

shuffled, what is the chance of choosing an odd<br />

number < 40? Place a blue dot on the chance line.<br />

2. Place a red dot for choosing an even number > 40.<br />

Wednesday<br />

1. Which is not a net of a cube?<br />

2. After 25 laps of the 50-m pool and with 55 laps<br />

to go, Liam had just<br />

m left of his<br />

training programme.<br />

Thursday<br />

1. Luke is shorter than Ethan but taller than Tim.<br />

Order the heights of the boys.<br />

2.<br />

tallest<br />

A<br />

F B E<br />

C<br />

D<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0<br />

A B C<br />

2 4 9<br />

+ 3 4<br />

6 0 3<br />

, ,<br />

shortest<br />

1. Circle the larger number.<br />

45,005 45,050<br />

2. 40 + = 130<br />

3. 2 2 + 6 2 =<br />

4. 3 5 + 3 5 = =<br />

5. Round 1.47 to one<br />

decimal place.<br />

6. If there are US$0.90 to<br />

€1.00, how many euro<br />

would you get for<br />

US$1.80?<br />

€<br />

7. 3, 8, 15, 24,<br />

8. 10% of €30.00 =<br />

€<br />

9. Write 1 1 5 as an improper<br />

fraction.<br />

10. 100 =<br />

8 cm<br />

3 cm<br />

4 cm<br />

9 cm<br />

6 cm<br />

11. Area = cm 2<br />

12. Perimeter = cm<br />

13. What 2 prime numbers are<br />

missing?<br />

× = 35<br />

14. Write the numeral three<br />

hundred and thirty<br />

thousand.<br />

4 cm<br />

15. What is the average of the<br />

test scores 8, 5, 9 and 2?<br />

16. What is the angle from<br />

north to east?<br />

17. The temperature is –2 ºC.<br />

What will it be if it rises<br />

by 5 ºC?<br />

°<br />

ºC<br />

18. Choose the correct number.<br />

A freezer's temperature.<br />

–18 °C 18 °C<br />

19. What is the simplified ratio<br />

of pink sweets to yellow<br />

sweets if there are 5 pink<br />

sweets and 15 yellow<br />

sweets?<br />

20. 2 ÷ 1 5 =<br />

21. 10 × = 20 × 2<br />

22. Which cube has a better<br />

chance of rolling an odd<br />

number?<br />

23. 4 20 = %<br />

24. 49 × 8.<br />

The end digit (unit) will be<br />

25.<br />

A<br />

4 5 6<br />

1 2 3<br />

Review sample<br />

.<br />

°C<br />

N<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

B<br />

6 8<br />

5 4<br />

2 10<br />

120º 90º<br />

240º 170º<br />

34 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 250 g = 1 4 kg = 0. kg<br />

2. Circle the smaller number.<br />

23,900 203,900<br />

1. To measure a pencil you would use<br />

a ruler.<br />

a trundle wheel.<br />

2. 500 g = 1 2 kg = 0. kg<br />

3. The temperature is –5 ºC.<br />

1 0<br />

3. The angles in all quadrilaterals add up to º.<br />

0<br />

What will it be if it rises by 3 ºC?<br />

-1 0<br />

-2 0<br />

ºC<br />

-3 0<br />

-4 0<br />

4. 0 A 90 B 180 C 270 D 360<br />

-5<br />

4. The time is 10.20 a.m. in Ireland and<br />

3.20 p.m. in India on the same day.<br />

A = B = C = D =<br />

What is the time difference?<br />

5. The angles in all triangles add up to<br />

6. Draw 4 axes of<br />

º.<br />

5. Write 10 3 as a mixed number.<br />

6. Write the numeral one million.<br />

symmetry on this square.<br />

7. 219 × 9.<br />

Which will the end digit (unit) be?<br />

7. What is the simplified ratio of girls to boys if there are<br />

15 boys and 5 girls?<br />

8 1 9 3<br />

8. What is the angle from north to south? N<br />

8. What is the simplified ratio of boys to girls if there are 18<br />

°<br />

W<br />

E<br />

girls and 6 boys?<br />

9. 0.7 = %<br />

7.<br />

10. 4 ÷ 1 S<br />

6.<br />

3 =<br />

9. Plot the coordinates<br />

5.<br />

4.<br />

11. Write 43<br />

100 as a decimal.<br />

of C6, D5, E4 and F3. 3.<br />

2.<br />

12. What kind of irregular shape is the sign?<br />

1.<br />

A B C D E F<br />

10. In a class test, the boys’ top three marks were 80%, 70%<br />

13. Order from smallest to largest.<br />

20% 2% 45%<br />

and 60%. What was the average score? %<br />

, ,<br />

11. 5 + c = 3 × 5, so c =<br />

12. 62 – 42 =<br />

14. A farm is 5 ha in size. It is 1,000 m by m.<br />

13. 1 hectare (ha) = m 2<br />

15. 64 =<br />

14. 0.4 =<br />

15. 5 ÷ 1 2 =<br />

%<br />

16. 20% of €80 = €<br />

17. Round 5.89 to one decimal place.<br />

16. Change 17 5 to a mixed number.<br />

18. 18:00 hours = a.m./p.m.<br />

17.<br />

8 m<br />

19. Circle the prime number.<br />

10 13 16<br />

4 m<br />

Area = m 2<br />

20. Make the largest number possible from these digits.<br />

4 m<br />

4 8 5 1 0 9<br />

2 m<br />

3 m<br />

5 m<br />

°C<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

Review sample<br />

Week 12<br />

18. Perimeter = m<br />

19. 81 =<br />

20. A farm is 400 m by 500 m. Its area equals<br />

hectares.<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 35


WEDNESDAY<br />

THURSDAY<br />

Week 12<br />

1. 750 g = 3 4 kg = 0. kg<br />

2. If there are US$0.90 to €1.00, how many euro would you<br />

get for US$4.50?<br />

€<br />

3. 3, 5, 8, 12, , 23<br />

4. Circle the larger number. 603,020 630,020<br />

5. a = º<br />

6. % = 0.9<br />

7. 2 ha = m 2<br />

8. What shape does this net make?<br />

9. The average of these numbers is .<br />

6 8 10 12<br />

10. What angle is a? °<br />

11. 5 2 – 3 2 =<br />

12. 419 × 37.<br />

The end digit (unit) will be<br />

6. 8. 3. 4.<br />

13. 47 × 37 = odd or even?<br />

14. Order from largest to smallest.<br />

7% 77% 70%<br />

, ,<br />

15. A school used 15,000 of water in a school week.<br />

16.<br />

How many litres per school day?<br />

If you rotate the triangle 180° clockwise, which<br />

is its new position?<br />

17. 80 + 40 = 60 × y, so y =<br />

18. What is the simplified ratio of apples to pears if there<br />

are 10 apples and 12 pears?<br />

70°<br />

a 70°<br />

a<br />

110°<br />

1. 200 g = 1 5 kg = 0. kg<br />

2. Draw double the size of<br />

this rectangle and<br />

write the measurements.<br />

3. By how many times has the area increased?<br />

2 4 6<br />

4. The temperature is –3 ºC.<br />

What will it be if it rises by 3 ºC? ºC<br />

5. Parts of Australia are 8 hours ahead of GMT.<br />

If it is 9.15 a.m. in London, what time is it<br />

in Australia?<br />

6. Write the numeral one million and ten.<br />

7. b = º<br />

8. Draw one diagonal line of symmetry<br />

on this pentagon.<br />

9. The average of these numbers is .<br />

9 11 13 11<br />

10. If there are US$0.90 to €1.00, how<br />

many euro would you get for US$18.00? €<br />

11. 48 × 39 = odd or even?<br />

12. 8 2 – 2 2 =<br />

13. What angle is a? º<br />

14.<br />

If you rotate the triangle 90° clockwise, which is its new<br />

position?<br />

2 m<br />

15. Area = m 2<br />

16. Perimeter = m<br />

17. The product of 2 prime numbers is 26.<br />

a × b = 26 a = b =<br />

18. 10 4 =<br />

1 cm<br />

2 cm<br />

50° 40°<br />

2 m<br />

a 60°<br />

Review sample<br />

b<br />

3 m<br />

3 m<br />

2 m<br />

2 m<br />

°C<br />

2 m<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

6 m<br />

19. Round 6.08 to one decimal place.<br />

19. 6 3 5 + 2 2 5 =<br />

20. 6 × = 3 × 8<br />

20. Which is the scale of a house plan if a wall<br />

is shown as 15 cm but is actually 15 m?<br />

1:10 1:100 1:1,000 100:1<br />

36 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. What is the diameter of this cylinder-shaped bin?<br />

100 mm<br />

mm<br />

1 metre<br />

2. If the bin is 2 3 of the height of the pole,<br />

find its height.<br />

mm<br />

Tuesday<br />

1. A car consumes 5 litres of fuel per 100 km.<br />

How far can it travel with 25 litres of fuel?<br />

km<br />

2. Which angles are<br />

obtuse?<br />

acute?<br />

1,800 mm<br />

and<br />

and<br />

Wednesday<br />

1. Colour 1 3 red and 1 4 blue.<br />

2. What fraction is not coloured?<br />

Spinach<br />

biscuits<br />

250 g<br />

Thursday<br />

NEW<br />

200 mm<br />

1. What is the weight of the new pack? g<br />

2. The new pack is priced at €1.25.<br />

How many packs can you buy with €5?<br />

d<br />

a<br />

Spinach<br />

biscuits<br />

20% more<br />

b<br />

c<br />

1. 400 g = 2 5 kg =<br />

0. kg<br />

2. What is the average of<br />

10 12 8 10?<br />

3. A field has an area of 2<br />

hectares. Its length is<br />

4,000 m. Its width is<br />

4. Draw a net of a<br />

tetrahedron.<br />

m.<br />

5. Parts of Australia are 8<br />

hours ahead of GMT. If it is<br />

8.15 a.m. in London, what<br />

time is it in Australia?<br />

6. 10 2 – 5 2 =<br />

7. Write 3 2 3 as an improper<br />

fraction.<br />

8. 0.3 = %<br />

9. 9, 18, 27, 36<br />

Rule =<br />

10. 20% of €70.00 =<br />

€<br />

11. 29 × 64 = odd or even?<br />

12. 6 ÷ 1 2 =<br />

13. A school uses 18,000 litres<br />

of water in 3 days. What is<br />

the average usage per day?<br />

14.<br />

Imagine the triangle<br />

has been rotated 270°<br />

clockwise. Circle its new<br />

position.<br />

15. The angles in a triangle add<br />

up to<br />

16. 10 5 =<br />

º.<br />

17. Circle the smaller number.<br />

507,025 57,025<br />

18. 36 =<br />

19. Write 25<br />

100 as a decimal.<br />

20. Insert the correct sign<br />

(, =).<br />

(88 ÷ 11) ( 2 3 of 21)<br />

4 m<br />

1 m<br />

1 m<br />

1 m<br />

2 m<br />

2 m<br />

2 m<br />

21. Area = m 2<br />

22. Perimeter = m<br />

23. Double the rectangle and<br />

label the measurements.<br />

24. Draw the axes of symmetry<br />

on this pentagon.<br />

Review sample<br />

3 cm<br />

2 cm<br />

25. The temperature<br />

is –4 ºC. What<br />

will it be if it<br />

rises by 3 ºC?<br />

ºC<br />

1 m<br />

°C<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

Week 12<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 37


MONDAY<br />

TUESDAY<br />

Week 13<br />

1. 600 g = 3 5 kg = 0. kg<br />

2. List the possible outcomes of tossing a coin.<br />

and<br />

3. 100 × a = 1,000, so a =<br />

4. Circle the smaller number.<br />

1. 333 g = 1 3 kg = 0. kg<br />

2. If a car travels 6 km in 10 minutes, how far can it travel<br />

in 1 hour? km<br />

3. 2 3 + y = 1, so y =<br />

4. Round 5.534 to two decimal places.<br />

120,250 102,255<br />

5. Round 6.073 to 2 decimal places.<br />

6. 45, 35, 25, 15 Rule =<br />

7. 1% = 0.01 = 100<br />

8. 0.07, 0.08, 0.09,<br />

9. Colour 2 10 in blue.<br />

10. If a car is travelling at 60 km/h, how far does it travel<br />

in 15 minutes?<br />

km<br />

11. 25 hundreds, 250 tens and 50 units is equal to<br />

12. Write 2 3 4 as an improper fraction.<br />

13. 9 =<br />

.<br />

14. To measure the playground you would use a<br />

ruler.<br />

trundle wheel.<br />

15. 8.08 > 8.1 True False<br />

16. A standard house plan is written in mm and the scale is<br />

generally 1 mm = 100 mm or 1:100. How long is a wall in<br />

mm if it measures 50 mm on the plan?<br />

mm<br />

1st <strong>Class</strong> Number of Teeth Lost in 2 Months<br />

17. 32 pupils were surveyed.<br />

How many had not lost teeth?<br />

18. What fraction lost 4 teeth?<br />

5. Write the numeral one hundred and eleven thousand<br />

and eleven.<br />

6. The temperature is –2 ºC. What will it be<br />

if it rises by 5 ºC?<br />

ºC<br />

7. 2% = 0.02 = 100<br />

8.<br />

Rotate the cone on its axis clockwise 90°<br />

and draw the new position.<br />

9. 200 m + 1 4 + m =1<br />

10. The diameter of this circle is cm.<br />

11. 6, 12, 18, 24 Rule =<br />

12. Write 16 3 as a mixed number.<br />

13. –2 < 1 True False<br />

14. 3 ÷ 1 3 =<br />

15. Draw a net of a triangular prism.<br />

16. Order from smallest to largest.<br />

Review sample<br />

2<br />

1<br />

4<br />

0<br />

3<br />

75% 57% 7%<br />

, ,<br />

17. 8 20 = 100 = %<br />

18. 10 5 =<br />

°C<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

5 c m<br />

19. What percentage of the class lost 1 tooth?<br />

%<br />

20. 3 8 of the class lost teeth.<br />

19. If the scale is 1:100 on a plan, and a fence is 7,500 mm,<br />

how many millimetres will it measure on the plan?<br />

mm<br />

20. What number?<br />

15 ten thousands, 10 thousands and 500 tens<br />

=<br />

38 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 800 g = 4 5 kg = 0. kg<br />

2. If there are US$0.90 to €1.00, how many euro<br />

for US$2.70?<br />

€<br />

3. 40% of €400.00 = €<br />

4. Round 7.239 to two decimal places =<br />

5. The angles in all quadrilaterals add up to °.<br />

6. 9 2 + 2 2 =<br />

7. y = °<br />

8. Write 5 1 2 as an improper fraction.<br />

9. Solve 72 × 29 using your knowledge of odd<br />

and even numbers.<br />

2,809 2,803 2,088 2,801<br />

10. Area = cm 2<br />

11. Perimeter = cm<br />

12. 4 =<br />

13. Parts of the USA are 6 hours behind GMT. If it is 4.20 p.m.<br />

in London, what time is it in the USA?<br />

14. y + 6 10 = 1, so y =<br />

15. 7<br />

100 + 7 10 = 0.<br />

16.<br />

Rotate the triangle 90º anticlockwise. Draw the<br />

new position.<br />

17. 4 ÷ 1 4 =<br />

18. If a car travels 8 km in 10 minutes, how far can it travel<br />

in 1 hour?<br />

km<br />

<strong>6th</strong> <strong>Class</strong>’s Favourite Ice Cream Flavours<br />

19. How many liked vanilla?<br />

y<br />

40°<br />

1. Round 4.075 to 2 decimal places.<br />

2. List the possible outcomes of rolling a dice.<br />

, , , , and<br />

3. Circle the largest number.<br />

750,050 750,005 750,550 750,505<br />

4. What is the diameter<br />

of this circle?<br />

cm<br />

5. 10 2 + y = 30 2 , so y =<br />

6. Simplify 12<br />

15 .<br />

7. 9<br />

100 = 0.09 = %<br />

8. Draw the 6 axes of symmetry on<br />

this hexagon.<br />

9. 2.5, 5, 7.5, 10 Rule =<br />

10. 6 2 – 5 2 =<br />

11. 64 × 29 = 1,856 1,858 1,853 1,852<br />

12. –5 > 3 True False<br />

13. How many eighths in 2?<br />

14. Draw a net of a<br />

square-based pyramid.<br />

15. What is the simplified ratio of pens to pencils if there are<br />

12 pens and 8 pencils?<br />

Review sample<br />

Lemon<br />

32<br />

16. 1 2 > 1 3 True False<br />

17. 8 2 =<br />

18. If a car travels 10 km in 6 minutes, how far can it<br />

travel in 1 hour?<br />

km<br />

19. Write the numeral one million, one thousand and one.<br />

Week 13<br />

20. What percentage liked mint?<br />

%<br />

Vanilla<br />

Mint<br />

8<br />

Choc<br />

8<br />

20. A house plan scale is 1:100. A room measures 30 mm<br />

by 40 mm on the plan. How many square metres is the<br />

room?<br />

m 2<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 39


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 13<br />

Monday<br />

1. Peter thought of a number. He added 10 and<br />

doubled it. His answer was 24.<br />

What number did Peter think of?<br />

2. Niamh thought of a number. She divided it by 3,<br />

multiplied it by 4 and added 50. Her answer was 62.<br />

What number did Niamh think of?<br />

1. Which number will<br />

be on the top face?<br />

2. Which number will be<br />

on the blank face?<br />

How many cupfuls?<br />

Tuesday<br />

Wednesday<br />

1. 2.<br />

Thursday<br />

1. A safe holds 20 × €100, 50 × €50<br />

and 250 × €20.<br />

The total amount is € .<br />

2. Alex halved an amount of money, multiplied it by 3<br />

and added 10. The answer was €100. What amount<br />

of money did he start with?<br />

€<br />

1 4<br />

2 5<br />

3 6<br />

100 m 250 m<br />

5<br />

3<br />

2<br />

5<br />

1. 750 g = 3 4 kg =<br />

0. kg<br />

2. Write 2 3 5 as an improper<br />

fraction.<br />

<strong>6th</strong> <strong>Class</strong> Favourite Pets<br />

32 pupils were surveyed.<br />

3. How many liked<br />

dogs?<br />

cats?<br />

4. Simplify 14<br />

20 .<br />

5. Circle the smaller number.<br />

505,025 505,250<br />

6. 0.3, 0.6, 0.9, 1.2<br />

Rule =<br />

7. 100 =<br />

8. 8% = 8<br />

100 = 0.<br />

9. 2<br />

100 + 2 10 = 0.<br />

10. Write the numeral five<br />

hundred and five thousand<br />

and fifty-five.<br />

11. Diameter of a circle with a<br />

radius of 3 cm<br />

= cm<br />

12. If there are US$0.90<br />

to €1.00, how many<br />

euro would you get for<br />

US$2.70?<br />

€<br />

Birds<br />

Fish<br />

Cats<br />

Dogs<br />

14. Parts of the USA are 6 hours<br />

behind GMT. If it is 3.35 p.m.<br />

in London, what time is it in<br />

the USA?<br />

15. The temperature<br />

is –4 ºC. What will<br />

it be if it rises<br />

by 7 ºC?<br />

16.<br />

ºC<br />

Draw the axes of symmetry<br />

on this octagon.<br />

17. 3 4 of = 12<br />

18. Write 17 3 as a mixed number.<br />

19. 2.02 < 2.1<br />

True<br />

False<br />

20. Round 4.072 to 2 decimal<br />

places.<br />

21. A house plan scale is 1:100<br />

and a room measures 2,000<br />

mm by 4,000 mm. How<br />

many square metres is the<br />

room?<br />

Review sample<br />

m 2<br />

22. 35 hundreds, 35 tens and<br />

35 units =<br />

23. How many quarters in 5?<br />

24.<br />

°C<br />

5 0<br />

4 0<br />

3 0<br />

2 0<br />

1 0<br />

0 0<br />

-1 0<br />

-2 0<br />

-3 0<br />

-4 0<br />

-5 0<br />

13. If a car travels 5 km in 10<br />

minutes, how far can it<br />

travel in an hour?<br />

km<br />

Colour 4 10 in blue.<br />

25. 5 ÷ 1 2 =<br />

40 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 1.5 + 2.5 =<br />

2. 2 1 2 + y = 3, so y =<br />

3.<br />

1. 3.25 + 4.5 =<br />

2. A room measures 2,000 mm by 3,500 mm and the plan<br />

shows a scale of 1:100. On paper, it measures 20 mm by<br />

mm.<br />

Week 14<br />

Rotate the triangle 270° clockwise.<br />

Draw the new position.<br />

4. 2 4 5 kg = g<br />

5. 0.25 + 0.75 =<br />

6. Round 2.375 to one decimal place.<br />

7. Area = cm 2<br />

8. Perimeter = cm<br />

9. What is the simplified ratio of blue cars to white cars if<br />

there are 100 blue and 300 white cars?<br />

10. Order from lowest to highest.<br />

50% of 60 25% of 100 60% of 40<br />

11. 233 m = 233<br />

1,000 km = 0. km<br />

12. 9 2 3 + 9 2 3 =<br />

13. 81, 72, 63, 54 Rule =<br />

14. 0 > –2 True False<br />

15. Double 1 4 .<br />

16. Draw lines to match the units for each answer.<br />

91 × 9 3<br />

36 × 9 9<br />

47 × 9 4<br />

17. 36 =<br />

18. What is the radius of this circle?<br />

cm<br />

2 c m<br />

1 c m 1 c m<br />

1 c m<br />

3 c m<br />

19. France is 1 hour ahead of GMT. If it is 11.10 a.m. in<br />

London, what time is it in France?<br />

2 c m<br />

3. 1 2 < 1 5 True False<br />

4. 20 30 50 20<br />

The average is .<br />

5. List the possible outcomes of a 2 coin toss.<br />

, , ,<br />

6. Circle the larger. 10% of 80 5% of 100<br />

7. 505 m = 505<br />

1,000 km = 0. km<br />

8. If you rotate the triangle 90° anticlockwise, which is<br />

the new position?<br />

9. Round 9.539 to two decimal places.<br />

10. Draw the axis of symmetry on the trapezium.<br />

11. If there are ¥116 to €1.00, how<br />

many euro would you get for ¥232? €<br />

12. Draw lines to match the solutions.<br />

91 × 9 423<br />

36 × 9 819<br />

47 × 9 324<br />

13. 11<br />

100 = 0.11 = %<br />

14. Write 20<br />

100 as a decimal.<br />

15. What is the volume of a fish tank<br />

5 m long by 3 m wide by 4 m high? m 3<br />

16. Order from smallest to largest.<br />

17. Halve 1 4 .<br />

90% 9% 99%<br />

, ,<br />

18. Write the numeral four million, four hundred<br />

and thirty-two thousand and thirty-two.<br />

A B C<br />

Review sample<br />

19 cm<br />

3 m<br />

5 m<br />

4 m<br />

20. If there are ¥116 to €1.00, how many euro would<br />

you get for ¥580?<br />

€<br />

19. 6 1 2 + y = 7, so y =<br />

20. If a car travels 9 km in 10 minutes, how far can it travel<br />

in 1 hour?<br />

km<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 41


WEDNESDAY<br />

THURSDAY<br />

Week 14<br />

1. 6.3 + 2.1 =<br />

2. Circle the smaller.<br />

3.<br />

10% of 70 20% of 50<br />

15%<br />

VOLCANOES<br />

WAS<br />

€20<br />

1. 8.75 + 10.75 =<br />

2. If a car travels 12 km in 10 minutes, how far can it<br />

travel in 1 hour?<br />

km<br />

3. Parts of Africa are 2 hours ahead of GMT. If it is<br />

10.30 p.m. in London, what time is it in Africa?<br />

€ NOW 4. 0.01 > 0.0009 True False<br />

5. Area = m 2<br />

4. 925 m = 925<br />

1,000 km = 0. km<br />

6. Perimeter = m<br />

4 m<br />

5. Draw another rectangle<br />

8 m<br />

3 m<br />

with the measurements<br />

reduced by one half. (1:2)<br />

6 m<br />

7. 15% of €40.00 = €<br />

8. 3 303 m = .<br />

6. By how many times has the area been reduced?<br />

9. Circle the smaller.<br />

4 1 8<br />

20% of 10 1% of 100<br />

7. 1.5, 3.5, 5.5, 7.5 Rule =<br />

10. Draw the rectangle 3 m<br />

8. y = °<br />

double the size<br />

2 m<br />

y 100°<br />

(2:1). Label the<br />

measurements.<br />

9. Round 12.079 to two decimal places.<br />

11. By how many times has the area increased?<br />

10. Draw lines to match the solutions.<br />

(Look at the units to help.)<br />

12. –4 < 0 True False<br />

140 × 7 1,218<br />

13. 0.04 = 4<br />

100 = %<br />

174 × 7 980<br />

153 × 7 1,071<br />

14. 870 m = 870<br />

1,000 km = 0. km<br />

11. 3 ÷ 1 4 =<br />

12. 10 2 – 8 2 =<br />

15. Write the numeral ten million.<br />

13. What is the length of<br />

6.5 cm 16. 3.45 + 2 1 2 =<br />

one side of the square?<br />

14. y × 10 = 5, so y =<br />

cm<br />

17. 2 6 =<br />

18. 6 ÷ 1 4 =<br />

15. 100% = 100<br />

100 =<br />

Favourite Sauces<br />

Review sample<br />

3 m<br />

3 m<br />

1 m<br />

3 m<br />

4 m<br />

5 m<br />

16. A room measures 5,000 mm by 6,800 mm.<br />

A plan has a scale of 1:100. On paper it will measure<br />

Chilli<br />

Boys<br />

50 mm by mm.<br />

Garlic<br />

Girls<br />

17. Simplify 20<br />

24 .<br />

18. Angle a = °<br />

110°<br />

90°<br />

a<br />

Tomato<br />

0 1 2 3 4 5 6 7<br />

19. 2 4 =<br />

19. How many children were surveyed?<br />

20. –5 > –3 True False<br />

50°<br />

20. The least favourite sauce of boys and girls is<br />

.<br />

42 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. Write the numbers 5, 2, 3 and 1 on the blank<br />

spinner, so that<br />

2.<br />

• 5 has a 0.5 chance.<br />

• 2 and 3 are both 1 8 likely.<br />

• 1 has a 25% chance.<br />

X = Y = Z =<br />

Tuesday<br />

1. We know a straight angle is 180°. Solve the size of<br />

Angle y.<br />

y = °<br />

2. Which diagram is the top view?<br />

Wednesday<br />

1. Four school taps were each leaking at one quarter<br />

of a litre every hour. From 6 a.m. to 6 p.m., how<br />

much water was lost?<br />

2. How much water would be lost in 10 days?<br />

Thursday<br />

1. The difference is 3, the product is 54 and the<br />

sum is 15. The numbers are<br />

2.<br />

+<br />

+<br />

W =<br />

X Y<br />

X<br />

Y Z Z<br />

W W W<br />

W<br />

1 , 0 0 8<br />

and .<br />

A<br />

B<br />

y<br />

45°<br />

C<br />

D<br />

1. 4.25 + 2.5 =<br />

2. If there are ¥116 to €1.00,<br />

how many euro would you<br />

get for ¥580?<br />

€<br />

3. 3 5 kg = 0.6 kg = g<br />

4. Circle the larger.<br />

5% of 40 20% of 50<br />

5. Draw double the size of this<br />

rectangle. Label the new<br />

measurements.<br />

10 mm<br />

6. By how many times has the<br />

area increased?<br />

7. The average of 6, 11, 12<br />

and 15 is<br />

.<br />

8. 250 , 1,000 , 4,000 ,<br />

16,000 ,<br />

9. 15% of €30.00 =<br />

€<br />

10. 345 m = 345<br />

1,000 km =<br />

0. km<br />

11. 2 5 =<br />

8 mm<br />

12. 8.2, 8, 7.8, 7.6<br />

Rule =<br />

13. 1 2 – 1 4 =<br />

14. y = °<br />

15. A room measures 4,000<br />

mm by 5,500 mm and the<br />

plan has a scale of 1:100.<br />

On paper, using the scale,<br />

it measures<br />

40 mm by mm.<br />

16. Round 10.298 to two<br />

decimal places.<br />

17.<br />

Draw the axis of symmetry<br />

on the isosceles triangle.<br />

18. Double 1 4 .<br />

19.<br />

20.<br />

The perimeter of the<br />

square is<br />

cm.<br />

What is the volume of the<br />

fish tank? m 3<br />

21. There are 3 fish per cubic<br />

metre. How many fish are<br />

there?<br />

22. Halve 1 2 .<br />

23. Parts of Africa are 2 hours<br />

ahead of GMT. If it is 11.15<br />

p.m. in London, what time is<br />

it in Africa?<br />

24.<br />

11 cm<br />

Review sample<br />

y<br />

105°<br />

3 m<br />

5 m<br />

At 11 km in 10 minutes,<br />

what distance is covered<br />

in an hour?<br />

km<br />

25. Use your knowledge of<br />

units to match these.<br />

147 × 7 1,043<br />

149 × 7 1,015<br />

145 × 7 1,029<br />

2 m<br />

Week 14<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 43


MONDAY<br />

TUESDAY<br />

Week 15<br />

1. 2.05 + 6.7 =<br />

2. 0.5 = 1 2 True False<br />

3. Write the coordinates.<br />

A B<br />

C D<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

D<br />

A<br />

C B<br />

1 2 3 4 5 6 7<br />

1. 4.25 + 6.15 =<br />

2. Draw this shape double the<br />

size and label the new<br />

measurements.<br />

2 m<br />

2 m<br />

4 m 2 m<br />

2 m<br />

4 m<br />

4. Parts of South America are 4 hours behind GMT. If it<br />

is 2 a.m. in London, what time is it in South America?<br />

5. Orla scored 9 10 in a spelling<br />

test. Write this as a percentage. %<br />

6. Change 10 3 7 to an improper fraction.<br />

7. What is the value of the 2 in 7.002?<br />

8.<br />

If you rotate the triangle 270°<br />

clockwise, which will be the new position?<br />

1 2 3 4<br />

9. Outcomes of H H T T H T T H<br />

a 2 Coin Toss<br />

0 0.25 0.50 0.75 1.0<br />

The chance of 2 tails is .<br />

The chance of a head and a tail is .<br />

10. 3.2 – 0.3 =<br />

11. A farm is 400 m by 500 m.<br />

What area is it? m 2<br />

12. y = °<br />

13. 37<br />

10 + 25<br />

10 =<br />

14. Double 2.7.<br />

15. 1, 1.8, 2.6, 3.4,<br />

16. 820 m = 820<br />

1,000 km = 0. km<br />

17. 25 × 17 × 4 =<br />

A B C<br />

18. Which set shows multiples of 4 and 6?<br />

8,12,16 12, 24, 30 12, 24, 36 12, 24, 28<br />

19. Which is better value for money?<br />

500 g coffee for €2.50<br />

1 kg coffee for €4.50<br />

20. 100, 81, 64, 49 Rule =<br />

0 1<br />

y<br />

45 °<br />

3. 2 – y = 1 1 3 , so y =<br />

4. Circle the larger.<br />

50% of 24 10% of 100<br />

5. 10 15 = 25<br />

6. 25% of €40.00 = €<br />

7. Which is the better value for money?<br />

€50 jeans with 75% off<br />

€30 jeans with 30% off<br />

8. If there are ¥116 to €1.00, how many euro would<br />

you get for ¥1,160?<br />

€<br />

9. 80 × 9 = 720, 79 × 9 =<br />

10. 10 6 =<br />

11. 16 =<br />

12. Halve 3.8.<br />

13. Round 18.795 to two decimal places.<br />

14. A house plan has a scale of 1:100. A wall measures<br />

110 mm on the plan. What is the actual length of<br />

the wall?<br />

m<br />

15. 8.3 – 0.5 =<br />

Review sample<br />

16. Write the numeral ten million, one hundred<br />

and one thousand.<br />

17. Which equals 3,000 g?<br />

10% of 30 kg<br />

50% of 6 g<br />

18. Draw a line of symmetry on the oval.<br />

19. 15% = 0.<br />

20. A car is travelling at 100 km/h. How far can it travel<br />

in 30 minutes?<br />

km<br />

44 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. Which is coldest?<br />

0 °C 2 °C –1 °C<br />

2. Round 2.349 to 2 decimal places.<br />

3. Vanessa scored 6 10 in a maths test.<br />

Write this as a percentage. %<br />

1. 3 > –5 True False<br />

2. Circle the smaller.<br />

2% of 50 5% of 100<br />

3.<br />

a 145°<br />

Week 15<br />

4. 575 m = 575<br />

1,000 km = 0. km<br />

a = °<br />

5. Draw this shape at half<br />

size and write the new<br />

measurements on<br />

2 m<br />

all sides.<br />

6. The LCD of 1 4 and 3 10 is .<br />

7. 1 ha = m 2<br />

8. It is 10.15 p.m. in Ireland and 11.15 p.m. in France.<br />

What is the time difference?<br />

9. 80 45 = 35<br />

10. 3.3, 6.6, 9.9 Rule =<br />

11. 49 =<br />

12. The scale is 1:100. A house plan shows a wall measuring<br />

200 mm on the plan. What is the actual length in metres?<br />

m<br />

13. 1 4 of = 5<br />

14. Order from smallest to largest.<br />

45% 4.5% 54%<br />

15.<br />

, ,<br />

Rotate the rectangle 180° clockwise.<br />

Draw the new position.<br />

16. Area = m 2<br />

17. Perimeter = m<br />

18. 29<br />

100 = %<br />

19. A farm is 800 m by 500 m. What area is it?<br />

20. 8.9 – 0.9 =<br />

m 2<br />

4 m<br />

6 m<br />

8 m<br />

4. 1, 4, 9, , 25, 49, , 81<br />

5. 905 m = 905<br />

1,000 km = 0. km<br />

6. Simplify 15<br />

20 .<br />

7. Use multiples of 6.<br />

84<br />

8. 45 9 = 5<br />

9. Which is better value for money?<br />

1<br />

4 kg apples for €1.20<br />

1<br />

2 kg apples for €2.50<br />

10. Write 17 2 as a mixed number.<br />

11. If there are US$0.90 to €1.00, how many euro would you<br />

get for US$6.30?<br />

€<br />

12. Round 10.054 to two decimal places.<br />

13. Draw a net of<br />

a triangular prism.<br />

14. How many fifths in 8?<br />

Review sample<br />

1 m<br />

1 m<br />

2 m<br />

8 m<br />

1 m<br />

3 m 3 m<br />

1 m<br />

Before<br />

15. A car is travelling at 100 km/h. How far can it travel<br />

in 3 4 of an hour?<br />

16. 4 ÷ 1 5 =<br />

17. 25% of €100.00 = €<br />

18. 1 3 of = 6<br />

19. 10 2 + 5 2 =<br />

After<br />

km<br />

20. Has the letter T got a vertical or horizontal<br />

line of symmetry?<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 45


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 15<br />

1.<br />

Monday<br />

Restring guitar €30<br />

<strong>New</strong> strings €10<br />

+ 20% VAT € A<br />

TOTAL € B<br />

2. A new phone was advertised at €300 excluding<br />

20% VAT. What will be the actual cost? €<br />

Tuesday<br />

1. A car consumes 7 litres of fuel per 100 km. How far<br />

can it travel with 28 litres of fuel?<br />

km<br />

2. The pages in a book are numbered 1 to 112.<br />

How many pages have the digit 1?<br />

Wednesday<br />

A landscape architect drew a plan for a garden.<br />

1. What percentage of the garden is paved?<br />

%<br />

2. What percentage of the garden has seating?<br />

%<br />

Thursday<br />

1. What fraction of the area has flowers?<br />

= 25 m 2<br />

= seating<br />

= flowers<br />

= paving<br />

1. 2.25 + 3.4 =<br />

2. Diameter of a circle with a<br />

radius of 10 cm<br />

= cm<br />

3. Mark scored 8 10 in a<br />

maths test. Write this as a<br />

percentage.<br />

%<br />

4. 620 m = 620<br />

1,000 km =<br />

0. km<br />

5. 24 2 = 12<br />

6. What are the 4 outcomes of<br />

a 2-coin toss?<br />

(a)<br />

(c)<br />

7. 3 6 10 + 2 7 10 =<br />

(b)<br />

(d)<br />

8. 25% of €40.00 =<br />

€<br />

9. 49 × 25 × 4 =<br />

10. The time is 10.15 a.m. in<br />

Ireland and 11.15 a.m. in<br />

France. What is the time<br />

difference?<br />

11. Which is better value for<br />

money?<br />

250 g sugar for €1.40<br />

750 g sugar for €4.50<br />

12. Draw this shape double<br />

the size and label the new<br />

measurements.<br />

13. Circle the larger.<br />

10% of 90 20% of 50<br />

14. Write 2 3 9 as an improper<br />

fraction.<br />

15.<br />

y = °<br />

16. A farm is 400 m by 900 m.<br />

What is the area?<br />

17. 81 =<br />

18. 15% = 0.<br />

19.<br />

m 2<br />

Rotate the rectangle 180°<br />

clockwise. Draw the new<br />

position.<br />

20. Which is coldest?<br />

–3 °C 5 °C 0 °C<br />

21.<br />

Draw the axes of symmetry<br />

on the hexagon.<br />

22. If there are ¥116 to €1.00,<br />

how many euro would you<br />

get for ¥1,160?<br />

Review sample<br />

5 m<br />

5 m<br />

5 m<br />

10 m<br />

5 m<br />

10 m<br />

€<br />

y<br />

23. Halve 5.8.<br />

24. At 100 km/h, how far in 15<br />

minutes?<br />

25. 6 ÷ 1 3 =<br />

125º<br />

km<br />

2. At €25 per square metre, how much did it cost to<br />

sow the flower seeds?<br />

€<br />

46 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 8.65 – 2.14 =<br />

2. 2.02 > 2.1 True False<br />

3. Kate scored 5 10 in a multiplication test.<br />

Write this as a percentage.<br />

4. 9.3 – 0.9 =<br />

%<br />

5. What is the average of 15, 30, 15 and 20?<br />

6. The LCD of 1 4 and 3 5 =<br />

7. 755 m = 755<br />

1,000 km = 0. km<br />

8. Rotate the rectangle 90° clockwise.<br />

Draw the new position.<br />

9. 6 8 = 14<br />

10. Which is better value for money?<br />

250 g of grapes for €2.00<br />

200 g of grapes for €1.50<br />

11. y × 3 = 3 5 , so y =<br />

12. Draw lines to match the total degrees to each shape.<br />

540° 180° 360°<br />

13. Circle the larger.<br />

20% of 50 25% of 60<br />

14. 12,500 – 6,500 = a, so a =<br />

15. Write 16 3 as a mixed number.<br />

16. Simplify 50<br />

100 .<br />

17. Draw the axes of symmetry<br />

on the equilateral triangle.<br />

18. 2 ÷ 1 5 =<br />

19. What is the simplified ratio of Cork football fans to<br />

Waterford fans if there are 1,000 Cork fans and 200<br />

Waterford fans?<br />

1. 7.25 – 3.02 =<br />

2. 2.3 + 0.8 =<br />

3. 4 7 = 28<br />

4. Write 3 2 3 as an improper fraction.<br />

5. 10% of 100 =<br />

6. 25 =<br />

7. The LCD of 2 3 and 1 6 =<br />

8. Write 30<br />

100 as a decimal.<br />

9. 4 × 9 = 6 2 True False<br />

10. a = °<br />

11. Draw lines to match the total degrees to each shape.<br />

12. 5 2 + 6 2 =<br />

360° 540° 720°<br />

13. Circle the largest.<br />

110,055 110,050 110,000<br />

14. If you double the size of this rectangle,<br />

by how many times has the area increased?<br />

15. 19<br />

100 + 2 10 = 0.<br />

16. Write the prime numbers from 1 to 20.<br />

, , , ,<br />

Review sample<br />

, , and<br />

17. How many minutes until Watch A changes to Watch B?<br />

minutes<br />

18. 5 × = 10 × 3<br />

19. 25 =<br />

5 cm<br />

20. A car is travelling at 50 km/h. How far can it travel<br />

in 30 minutes?<br />

a<br />

25°<br />

3 cm<br />

A<br />

B<br />

8:08 9:00<br />

Week 16<br />

20. If there are US$0.90 to €1.00, how many euro would you<br />

get for US$7.20 ?<br />

km<br />

€<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 47


WEDNESDAY<br />

THURSDAY<br />

Week 16<br />

1. 4 ÷ 1 2 =<br />

2. Simplify 14<br />

18 .<br />

3. 5.05 + 2.91 =<br />

4. 0.99 = %<br />

5. Draw as a 270º<br />

rotation anticlockwise.<br />

6. 950 m = 950<br />

1,000 km = 0. km<br />

7. 20 3 = 17<br />

8. 8 = y + 6 1 2 , so y =<br />

9. What is the probability of choosing a red marble from a<br />

jar if there are 15 blue, 10 red and 25 green marbles?<br />

in , or %<br />

10. Round 25.093 to two decimal places.<br />

11. Draw the axis of symmetry on the trapezium.<br />

12. 3 ÷ 1 4 =<br />

13. The difference is<br />

minutes.<br />

2:09 3:00<br />

14. Write the numeral ten million and ten.<br />

15. –4 < 0 True False<br />

16. What is the simplified ratio of pens to pencils if there are<br />

10 pens and 15 pencils?<br />

17. Place value of the 9 in 904,711 is<br />

18. What is the area of this floor?<br />

m 2<br />

19. Write 18 8 as a mixed number.<br />

1. 6 ÷ 1 2 =<br />

2. James scored 10<br />

10 in a spelling test.<br />

Write this as a percentage. %<br />

3. Which is better value for money?<br />

750 g of flour for 90c<br />

500 g of flour for 75c<br />

4. 306 ÷ 10 = r or<br />

5. Circle the larger.<br />

75% of 60 50% of 80<br />

6. Round 0.143 to 2 decimal places.<br />

7. 1.22 = %<br />

8. 0, 1, 1, 2, 3, 5, 8, 13,<br />

9. 4 × 36 × 25 =<br />

10. 20,000 ÷ 2,000 =<br />

11. Which set equals 40?<br />

2 + 3 × 8<br />

10 + 3 × 10<br />

5 + 3 × 5<br />

12. 6 3 4 + 3 3 4 =<br />

13. 25,000 + 75,000 =<br />

14.<br />

Rotate the cylinder 270° clockwise.<br />

Draw the new position.<br />

15. 2.75 + 5.03 =<br />

Review sample<br />

.<br />

8 m<br />

Kitchen<br />

4 m<br />

16. 18 3 = 6<br />

17. 3 ÷ 1 2 =<br />

18. Choose the correct number. Dad's bank account only had<br />

€100. He had to pay a bill for €300.<br />

.<br />

20. 60% of €110.00 = €<br />

19. 6 × = 9 × 4<br />

– €200 €200<br />

20. A fast red car is travelling at 90 km/h.<br />

How far can it travel in 20 minutes?<br />

km<br />

48 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. What is the area of the dark orange section?<br />

m 2<br />

2. What is the difference in area between the<br />

2 squares?<br />

m 2<br />

Tuesday<br />

1. A washing machine uses 200 litres for a wash cycle.<br />

In a week, this machine was used on Monday,<br />

Tuesday and Thursday. Two cycles were used on<br />

Saturday. How much water was used?<br />

litres<br />

2. What is the difference in area between the<br />

2 shapes?<br />

1. Decimal =<br />

m 2<br />

9 m<br />

9 m<br />

12 m<br />

12 m<br />

Wednesday<br />

5 m<br />

3 m<br />

3 m<br />

What is the chance of 2 heads?<br />

1 2 3 4<br />

H H T T H T T H<br />

0 0.25 0.50 0.75 1.0<br />

0 1<br />

4 m<br />

1. If there are US$0.90 to<br />

€1.00, how many euro<br />

would you get for US$7.20?<br />

€<br />

2. 9.58 – 2.05 =<br />

3. 7 3 4 + 2 3 4 =<br />

4.<br />

The time 2 3 of an hour<br />

before was<br />

5. Which set equals 30?<br />

10 + 2 × 10<br />

3 + 3 × 5<br />

6. The LCD of 1 2 and 1 3 is<br />

7. Eilish scored 7 10 in<br />

a spelling test. Write this<br />

as a percentage.<br />

%<br />

8. 249 m = 249<br />

1,000 km =<br />

0. km<br />

9. The place value of the 3<br />

in 371,929 is<br />

10. 6 6 = 36<br />

11. 5.1, 10.2, 15.3<br />

Rule =<br />

12. 70% of €90.00?<br />

€<br />

12:07<br />

.<br />

.<br />

.<br />

15. Parts of South America are<br />

4 hours behind GMT. If it is<br />

3.15 a.m. in London, what<br />

time is it in South America?<br />

16. Circle the larger.<br />

20% of 40<br />

25% of 36<br />

17. Write 19 4 as a mixed number.<br />

18. 2 6 =<br />

19. Draw a 270º rotation<br />

clockwise.<br />

20. 5 ÷ 1 2 =<br />

21.<br />

a = °<br />

22. 14<br />

100 + 1 10 = 0.<br />

23. Draw lines to match the<br />

total degrees to the shapes.<br />

360°<br />

180°<br />

540°<br />

a<br />

50°<br />

Review sample<br />

24. Round 0.153 to 2 decimal<br />

places.<br />

Week 16<br />

2. Fraction =<br />

Thursday<br />

What is the chance of a head and a tail?<br />

1. Decimal =<br />

2. Fraction =<br />

13. –2 < 0 True False<br />

14. Which is better value for<br />

money?<br />

800 g sugar for €1.20<br />

1 kg sugar for €1.40<br />

25. There are 2,000 dance<br />

studios to 200 music<br />

studios. What is the<br />

simplified ratio of dance<br />

to music studios?<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 49


MONDAY<br />

TUESDAY<br />

Week 17<br />

1. Use × and +.<br />

5 1 6 = 11<br />

2. The LCD of 3 4 and 2 3 is .<br />

3. 4 + – 8 =<br />

1. Use × and +.<br />

8 1 7 = 15<br />

2. 9 18 = 27<br />

3. 31 7 = (mixed number)<br />

4. 0.5 × 0.5 =<br />

4. 7 ÷ 1 2 =<br />

5. y + 2 = 2 3 5 , so y =<br />

6. Sarah scored 75% in a piano exam.<br />

Write this as a decimal.<br />

7. 9.6 – 0.9 =<br />

8. Rotate the rectangle 450° clockwise.<br />

Draw the new position.<br />

9. 545 m = 545<br />

1,000 km = 0. km<br />

10. 12 3 = 36<br />

11. Round 7.37 to one decimal place.<br />

12. 135<br />

100 = 1.35 = %<br />

13. Which is better value for money?<br />

€40 shirt with 25% off<br />

€50 shirt with 30% off<br />

14. What is the probability of choosing a month beginning<br />

with J from a hat?<br />

in<br />

15. Write the numeral one million and eleven.<br />

16. 98, 94, 90, 86 Rule =<br />

17. Circle the larger.<br />

5. Write 500<br />

1,000 as a decimal.<br />

6. Draw a net of<br />

a square-based<br />

pyramid.<br />

7. 4 2 7 + y = 5, so y =<br />

8. If you measure the length of a fence as 8 m and draw<br />

it on a plan with a scale of 1:100, what will be its length<br />

on the plan?<br />

cm<br />

9. Circle the larger.<br />

2,053,000 2,052,900<br />

10. 2.02 = %<br />

11. 2, 6, 18, 54, , 486<br />

12. Which set shows multiples of 6 and 8?<br />

30, 36, 40<br />

24, 48, 72<br />

24, 36, 48<br />

13. Colour to show 3 4 .<br />

14. If a clock shows 3 o’clock, what is the size of the inside<br />

angle between the hands?<br />

Review sample<br />

°<br />

15. If you halve the measurements of<br />

this shape, how many times will the<br />

new shape fit into this shape?<br />

8 cm<br />

2 cm<br />

18. 10 ÷ 1 5 =<br />

10% of 70 50% of 16<br />

19. If a car takes 10 minutes to travel 10 km, how fast<br />

is it going?<br />

km/h<br />

20. Which 3-D shape has 5 faces, 8 edges and 5 vertices?<br />

16. 6 + – 3 =<br />

17. 0.2 × 0.5 =<br />

18. Draw the axis of symmetry on this<br />

isosceles triangle.<br />

19. 25% of 120 =<br />

20. 12 × = 8 × 3<br />

A<br />

B<br />

C<br />

50 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. Use × and –.<br />

6 3 1 = 3<br />

2. The following are shoe sizes of basketball players.<br />

12 11 13 14 10<br />

1. Use ÷ and +.<br />

15 5 5 = 8<br />

2. David scored 89% in a maths test.<br />

Write this as a decimal.<br />

Week 17<br />

What is the average?<br />

3. Circle the prime number.<br />

3. 7 + – 6 =<br />

4 7 9<br />

4. 0.3 × 0.4 =<br />

5. 983 m = 983<br />

1,000 km = 0. km<br />

6. 64 8 = 8<br />

7. 80, 65, 50, 35 Rule =<br />

8.<br />

Rotate the rectangle 270° anticlockwise.<br />

Draw the new position.<br />

9. Simplify 20<br />

30 .<br />

10. y × 50 = 25, so y =<br />

11. Circle the larger. 90% of 90 80% of 100<br />

12. Draw a 90º rotation anticlockwise.<br />

13. 81<br />

10 =<br />

14. Write 750<br />

1,000 as a decimal.<br />

15. 1, 5, 25, , 625<br />

16. a = °<br />

17. 0.97, 0.98, 0.99,<br />

55°<br />

a<br />

4. 8.2 – 0.8 =<br />

5. 9 3 4 + 1 2 =<br />

6. 9.2 1.2 = 8<br />

7. Which is better value for money?<br />

€800 table with 50% off<br />

€600 table with 30% off<br />

8. 500, 50, 5,<br />

9. 9 2 =<br />

10. Write the coordinates for<br />

A<br />

, B<br />

and C .<br />

11. 5 + – 7 =<br />

12. 9 ÷ 1 3 =<br />

13. Circle the largest.<br />

2,053,893 2,005,999 2,051,010<br />

14. 5 × = 10 × 3<br />

15. If your new car travels 8 km in 10 minutes, how fast<br />

is it going?<br />

16. 3 × = 18 ÷ 3<br />

km/h<br />

17. Which 3-D shape has 5 faces, 9 edges and 6 vertices?<br />

5<br />

4<br />

3<br />

2<br />

1<br />

A<br />

B<br />

1 2 3 4 5<br />

Review sample<br />

0<br />

C<br />

18. Write the numeral one hundred and eleven<br />

thousand and ten.<br />

19. Write 25 4 as a mixed number.<br />

20.<br />

0<br />

1<br />

6<br />

2<br />

6<br />

What equivalent fractions are at<br />

a? b?<br />

3<br />

6<br />

4<br />

6<br />

0 a b<br />

5<br />

6 1<br />

1<br />

18. 0.7 × 0.3 =<br />

19. Write 5 2 5 as an improper fraction.<br />

20. How many of Box B will fit evenly into Box A?<br />

A<br />

2 cm<br />

2 cm<br />

4 cm 2 cm<br />

B<br />

1 cm<br />

1 cm<br />

C<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 51


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 17<br />

Monday<br />

= 3 days = 1 day<br />

March and April – Days of Rainfall<br />

Dublin<br />

Cork<br />

Wexford<br />

1. How many more days of rainfall had Wexford<br />

than Cork?<br />

1. Use × and +.<br />

9 (5 2) = 19<br />

2. y + 28 7 = 5,<br />

so y =<br />

3. 3.04 = %<br />

4. 4, 12, 36, , 324<br />

15. Draw a 90º rotation<br />

clockwise.<br />

16. 20 25 = 45<br />

17.<br />

2. How many fewer days of rainfall did Cork have<br />

than Dublin?<br />

Tuesday<br />

1. Lynn said, "A square-based pyramid has 5 faces,<br />

9 edges and 6 vertices." She was mistaken.<br />

What 3-D shape did she describe?<br />

2. What 2-D shape's angles add up to 720°?<br />

1.<br />

Wednesday<br />

6TH CLASS<br />

Library Books Borrowed<br />

February 301<br />

March 12<br />

April 247<br />

Total?<br />

2. The total of the previous 3 months was 10% more<br />

than this quarterly period. How many books were<br />

borrowed in the previous quarter?<br />

Thursday<br />

1. A pizza restaurant makes 200 pizzas every day.<br />

125 g of cheese is added to each pizza. How many<br />

kilograms of cheese is used in a day?<br />

5. 25% of €200.00 =<br />

€<br />

6. 6 + – 3 =<br />

7. Write the prime<br />

numbers < 10.<br />

, ,<br />

,<br />

8.<br />

Colour 1 3 .<br />

9. Circle the largest.<br />

3,093,093<br />

3,090,393<br />

3,089,993<br />

10. Kelly scored 62% in a<br />

spelling test. Write this as<br />

a decimal.<br />

11. The average of the numbers<br />

25, 20, 30, 35 and 15<br />

is .<br />

12. Which 3-D shape has 6<br />

vertices, 5 faces and 9<br />

edges?<br />

Rotate the rectangle 90°<br />

anticlockwise. Draw the<br />

new position.<br />

18. 70, 63, 56, 49<br />

Rule =<br />

19. 9 ÷ 1 2 =<br />

20. A pizza restaurant made<br />

400 pizzas at the weekend.<br />

200 g of cheese was used<br />

per pizza. What was the<br />

total weight of cheese<br />

used?<br />

kg<br />

21. At €6 a kg for cheese,<br />

what was the total cost<br />

of cheese?<br />

€<br />

22. 2 × = 24 ÷ 3<br />

23. If a car takes 20 minutes to<br />

travel 15 km, how fast is it<br />

going?<br />

km/h<br />

Review sample<br />

A B C<br />

24. Which is better value<br />

for money?<br />

€600 carpet with<br />

25% off<br />

€750 carpet with<br />

33 1 3 % off<br />

kg<br />

2. The pizza restaurant pays €2 per 1 2-kg block of cheese.<br />

What is the cost of cheese for a day?<br />

€<br />

13. 630 m = 630<br />

1,000 km =<br />

0. km<br />

14. 0.3 × 0.8 =<br />

25. How many of Box B will fit<br />

evenly into Box A?<br />

6 cm<br />

2 cm 2 cm<br />

1 cm<br />

6 cm<br />

1 cm<br />

52 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 0.5 × 0.4 =<br />

2. 4 + – 8 =<br />

3. Juliette scored 45% in a history test.<br />

Write this as a decimal.<br />

4. 1 m 12 cm = 1 12<br />

100 m = 1. m<br />

5. 9.09 < 9.9 True False<br />

6. 9.1 – 0.8 =<br />

7. 2 13 = 26<br />

8. 30% of €40.00 = €<br />

9. Which is better value for money?<br />

10. 16 ÷ 1 4 =<br />

11. 8 3 4 + 1 2 =<br />

€80 dress with 20% off<br />

€90 dress with 33 1 3 % off<br />

12. Write 350<br />

1,000 as a decimal.<br />

13. Circle the larger.<br />

5,449,090 5,500,010<br />

14. Round 6.97 to one decimal place.<br />

15. 9.65 – 2.34 =<br />

16. 7.2 – y = 6.8, so y =<br />

17. Rotate the triangle 180° clockwise.<br />

Draw the new position.<br />

18. 2.4, 4.8, 7.2 Rule:<br />

19. A pizza restaurant made 300 pizzas a day. 30% of the<br />

pizzas had olives. How many pizzas had olives?<br />

1. 0.6 × 0.3 =<br />

2. If a 6-m wall is drawn on a plan with a scale of 1:100,<br />

how many mm will it be on the plan?<br />

mm<br />

3. The LCD of 3 4 and 1 6 is .<br />

4. 12.3 – 0.8 =<br />

5. 6 + – 2 =<br />

6. Write the numeral ten million, one hundred and ten<br />

thousand.<br />

7. 2 m 15 cm = 2 15<br />

100 m = 2. m<br />

8. If a car travels 12 km in 10 minutes, how fast is it going?<br />

km/h<br />

9. What is the chance of selecting an even number from<br />

a deck of 52 cards?<br />

in<br />

10. 400,000 – 390,000 =<br />

11. 500 5 = 100<br />

12. 3.5 + y = 5, so y =<br />

13. 890,000 + 10,000 =<br />

14. Area = cm 2<br />

15. Perimeter = cm<br />

16. Circle the larger.<br />

17. Halve 4 10 .<br />

18. 8.96 – 1.05 =<br />

20% of 50 60% of 25<br />

Review sample<br />

19. 1, 3, 9, 27, , 243<br />

20. Tick the regular polygons.<br />

4 c m<br />

3 c m<br />

2 c m<br />

14 c m<br />

17 c m<br />

A B C<br />

2 c m<br />

Week 18<br />

20. This is a net of A.<br />

B.<br />

D E F<br />

C.<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 53


WEDNESDAY<br />

THURSDAY<br />

Week 18<br />

1. 0.4 × 0.8 =<br />

2. 2 + – 7 =<br />

3. Simplify 21<br />

28 .<br />

4. 600,000 – 510,000 =<br />

1. 0.1 × 0.9 =<br />

2. – 8 + 2 =<br />

3. Draw the axes of symmetry<br />

on this hexagon.<br />

5. An octahedron has faces.<br />

6. Mark scored 58% in a violin exam.<br />

Write this as a decimal.<br />

7. 4 5 > 2 10 True False<br />

8. 5 m 56 cm = 5 56<br />

100 m = 5. m<br />

9. Draw the axes of symmetry on this pentagon.<br />

10. 40 35 = 5<br />

11. 230,000 + 170,000 =<br />

12. A dodecahedron has faces.<br />

13. Tick the larger.<br />

15% of 100<br />

50% of 40<br />

14. a = °<br />

15. 1 = %<br />

16. Add the lowest 3 prime numbers.<br />

17. 10 ÷ 1 3 =<br />

18. 20% = 0.25 True False<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

0<br />

A<br />

200°<br />

Under 12s Triathlon Competition<br />

19. Five years of data was recorded for a triathlon<br />

competition. The largest increase in competitors was from<br />

a<br />

to .<br />

B<br />

4. 4 m 28 cm = 4 28<br />

100 m = 4. m<br />

5. 14 14 = 28<br />

6. Which is better value for money?<br />

€1,000 bed with 15% off<br />

€900 bed with 10% off<br />

7. 3 6 > 1 3 True False<br />

8. 4 1 2 + 3 4 =<br />

9. What is the chance of selecting an odd number from a<br />

pack of 52 playing cards? B<br />

in<br />

10. d = °<br />

11. 3.5 – 0.9 =<br />

12. 950,000 + = 1,000,000<br />

13. 5.03 + 2.84 =<br />

14. Draw a net of<br />

a tetrahedron.<br />

15. What is the place value of the 0 in 2,076,543?<br />

Review sample<br />

2013 2014 2015 2016 2017<br />

16. 8 ÷ 1 5 =<br />

17. Add the lowest 3 composite numbers.<br />

18. 405,000 + = 500,000<br />

19. 800,000 – = 720,000<br />

20. Round 0.777 to one decimal place.<br />

A<br />

50°<br />

d<br />

20. The smallest increase in competitors was from<br />

to .<br />

54 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. Which coloured marble has a<br />

0.4 chance of being selected<br />

from the jar?<br />

2. Draw a dot on the chance line to show the<br />

probability of an orange marble being selected.<br />

Tuesday<br />

1. Liam scored 80% in a music test. Conor got<br />

3 out of every 4 questions correct. Who had the<br />

higher score?<br />

2. Write the coordinates.<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0 0.2 0.4 0.6 0.8 1<br />

A<br />

D<br />

0 1 2 3 4 5 6 7 8<br />

1. How many pizzas<br />

had seafood?<br />

2. How many pizzas<br />

had olives?<br />

B<br />

C<br />

Wednesday<br />

A =<br />

B =<br />

C =<br />

D =<br />

PIZZA TOPPINGS ON 10 PIZZAS<br />

Olives 100%<br />

Mushrooms 30%<br />

Seafood 20%<br />

Rocket 40%<br />

Aubergines 10%<br />

1. What is the probability<br />

of selecting an odd<br />

numbered card from<br />

a deck of 52 cards?<br />

in<br />

2. Round 0.639 to one<br />

decimal place.<br />

3. 2 3 > 1 5<br />

True<br />

4. 0.6 × 0.3 =<br />

False<br />

5. What is the volume of a<br />

room 10 m × 7 m × 3 m?<br />

m 3<br />

6. Sam scored 70% in a maths<br />

test. Write this as a decimal.<br />

7. Halve 1 2 .<br />

8. 6 m 25 cm = 6 25<br />

= 6. m<br />

100 m<br />

9. 700,000 – 675,000 =<br />

10. 3 8 = 24<br />

11. 1, 4, 16, 64, , 1, 024<br />

12. 7 9 10 + 3 10 =<br />

13. 8% = 0.08<br />

True<br />

False<br />

14. Draw the axes of<br />

symmetry on the octagon.<br />

17. 8.27 – 2.05 =<br />

18. 910,000 +<br />

= 1,000,000<br />

19. a = °<br />

20. – 9 + 3 =<br />

21.<br />

3 m<br />

A<br />

6 m<br />

100º<br />

9 m<br />

3 m<br />

3 m<br />

Area = m 2<br />

22. Perimeter = m<br />

23. Draw the other<br />

2 lines of symmetry.<br />

24. Which is better value for<br />

money?<br />

a<br />

€800 laptop with<br />

20% off<br />

Review sample<br />

€900 laptop with<br />

33 1 3 % off<br />

6 m<br />

25. Draw a net of a triangular<br />

prism.<br />

B<br />

Week 18<br />

Thursday<br />

1. Plot these coordinates on Tuesday’s grid, then join<br />

them to make another square.<br />

(6,0), (6,4), (2,4), (2,0)<br />

2. Write the coordinate to be found in the middle<br />

of this square.<br />

15. Write 650<br />

1,000 as a decimal.<br />

16. Circle the larger.<br />

500,250<br />

5,025,250<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 55


MONDAY<br />

TUESDAY<br />

Week 19<br />

1. 0.6 × 0.5 =<br />

2. 8 + – 3 =<br />

3. A car travels at 100 km/h for 350 km.<br />

How many hours is the trip?<br />

4. (200 – 50) ÷ (40 ÷ 8) =<br />

5. 5 m 15 cm = 5 15<br />

100 m = 5. m<br />

6. 16 4 = 4<br />

7. 6 1 3 + 2 2 3 =<br />

8. c = °<br />

hours<br />

9. What is the average of 150, 100, 150 and 200?<br />

10. Write 155<br />

1,000 as a decimal.<br />

11. Tick the larger.<br />

7,502,250<br />

7,205,250<br />

12. Draw a different net of a cube.<br />

13. 200,000 – 100 =<br />

14. 3 – y = 2.7, so y =<br />

15. 1.1, 2.2, 3.3 Rule =<br />

16. 2.7 > 28<br />

10 True False<br />

17. Draw a 180° rotation clockwise.<br />

18. What is the probability of selecting a ‘face’ card from a<br />

pack of 52 playing cards?<br />

in<br />

19. 2 3 of 15 =<br />

20. Which is better value for money?<br />

c<br />

290°<br />

1. 12 4 = 48<br />

2. 3 5 of 30 =<br />

3. 6 × = 3 × 8<br />

4. 3 × 1 2 = 1 2 + 1 2 + 1 2 =<br />

5. The LCD of 3 10 and 1 6 =<br />

6. 18, 38, 78, 158, , 638<br />

7. 750 g = 3 4 kg = 0. kg<br />

8. Which of the following numbers<br />

is a prime number? 16, 17, 18<br />

9.<br />

a = °<br />

10. 9 – y = 8.5, so y =<br />

11. 32 = 2a, so a =<br />

12. 4 + – 6 =<br />

13. How many sides has an octagon?<br />

5<br />

14. Write 1,000 as a decimal.<br />

15. 8, 16, 24, 32<br />

Rule =<br />

The pie chart shows the number of pets<br />

owned by <strong>6th</strong> <strong>Class</strong> pupils.<br />

24 pupils were surveyed.<br />

16. How many had 3 pets?<br />

Review sample<br />

135 °<br />

17. Is the number of pupils who<br />

had 0 or 1 pets the same<br />

as the pupils who had 3 pets?<br />

18. What fraction of the class had 2 or 4 pets?<br />

19. What percentage of the class had 3 pets? %<br />

20. How many pupils had 2 pets?<br />

a<br />

0<br />

1<br />

2<br />

3<br />

4<br />

500 g tea for €2.00<br />

750 g tea for €2.70<br />

56 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. – 9 + 3 =<br />

2. 5 × 1 2 = 1 2 + 1 2 + 1 2 + 1 2 + 1 2 =<br />

3. The LCD of 2 10 and 3 4 is .<br />

4. 0.7 × 0.2 =<br />

1. Simplify 10<br />

15 .<br />

2. What is the average of 6, 8, 10 and 12?<br />

3. Name this 2-D shape.<br />

Week 19<br />

5. Write the numeral one million, nine hundred<br />

and nine thousand.<br />

4. y × 6 = 24, so y =<br />

5. 0.3 × 0.5 =<br />

6. 900 – 325 =<br />

7. 7 m 98 cm = 7 98<br />

100 m = 7. m<br />

8. 27 6 = 33<br />

9. Halve 0.5.<br />

10. Which is better value for money?<br />

11. 3 4 of 28 =<br />

10 apples for €2.40<br />

15 apples for €2.99<br />

12. Draw double the size of this shape. Write the new<br />

measurements on<br />

each side.<br />

2 m<br />

4 m<br />

5 m<br />

9 m<br />

13. What is the radius of this circle?<br />

cm<br />

14. Tick the larger.<br />

15. 100% = 100<br />

100 =<br />

9,452,980 9,450,980<br />

16. Draw the reflection.<br />

17. 15.95 – 7.42 =<br />

18. Area = m 2<br />

19. Perimeter = m<br />

20. A pizza restaurant made 400 pizzas a day. Each pizza<br />

had 125 g of cheese. What weight of cheese was used<br />

each day?<br />

kg<br />

4 m<br />

6 m<br />

8 cm<br />

6. 2 + – 5 =<br />

7. 18 0 = 18<br />

30<br />

8. Write 1,000 as a decimal.<br />

9. 5 6 = 15<br />

18 True False<br />

10. Alex shuffled 20 cards numbered from 1 to 20.<br />

What is the chance of picking a multiple of 5?<br />

% = 0.<br />

11. Tick the larger.<br />

12. 7 ÷ 1 3 =<br />

13. 11 2 =<br />

75% of 20 20% of 50<br />

14. The corners are (1,2), (1,6) and (6,2). Plot the points and<br />

draw the triangle.<br />

y<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

15. What type of triangle is it?<br />

16. What is the chance of it raining today?<br />

impossible<br />

likely<br />

17. 8 3 5 + 1 3 5 =<br />

18. 3 4 + 1 2 =<br />

1 2 3 4 5 6<br />

Review sample<br />

6 m<br />

4 m<br />

4 m<br />

5 m<br />

9 m<br />

2 m<br />

19. 5 × = 50 ÷ 5<br />

20. 3 1 4 + y = 3 3 4 , so y =<br />

x<br />

unlikely<br />

certain<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 57


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 19<br />

Monday<br />

1. 2.<br />

2, 8 3<br />

– 4 5 7<br />

2, 2 2 6<br />

9, 7 9 8<br />

+ 3, 9 6<br />

1 3, 2 9 4<br />

1. 0.9 × 0.4 =<br />

2. 4 + – 7 =<br />

3. 2 3 of 12 =<br />

4. 42% = 0.<br />

15.<br />

a 75º<br />

a = °<br />

16. 100,000 = y 5 , so y =<br />

= 100<br />

Tuesday<br />

1. A desalination plant filters 500 litres of seawater<br />

every hour. The pump begins at 9 a.m.<br />

Complete the line graph.<br />

Water Filtered<br />

litres<br />

2,000<br />

1,500<br />

1.000<br />

500<br />

0<br />

2. How many litres will be filtered by 4 p.m.?<br />

litres<br />

Wednesday<br />

2 boys had a basketball contest<br />

for shooting hoops. (Better of 5 shots)<br />

1. Who won?<br />

2. Which hand scored<br />

the most?<br />

Left hand<br />

Right hand<br />

9 a.m. 10 a.m. 11 a.m. 12 p.m. 1 p.m.<br />

Time<br />

KEY<br />

Right<br />

hand<br />

Left<br />

Thursday<br />

1. The weight of 7 apples is 1.4 kg. The weight of 10<br />

apples would probably be<br />

5<br />

4<br />

3<br />

2<br />

5. 9 m 45 cm = 9 45<br />

100 m<br />

= 9. m<br />

6. A car is travelling at 100<br />

km/h. If it makes no stops<br />

and travels for 650 km,<br />

how long does the trip<br />

take?<br />

hours<br />

7. Write the numeral one<br />

million, one thousand<br />

and ten.<br />

8. 5 × 1 2 =<br />

9. 36 4 = 9<br />

10. Name this 2-D shape.<br />

11. How many axes of symmetry<br />

does the shape have?<br />

8<br />

12. Write 1,000 as a decimal.<br />

13.<br />

9 cm<br />

9 cm<br />

What is the radius of<br />

the circle?<br />

17. Which is better value for<br />

money?<br />

18. 1 2 + 1 4 =<br />

1 m<br />

5 m<br />

250 g flour for €1.20<br />

750 g flour for €3.30<br />

2 m<br />

2 m<br />

8 m<br />

19. Area = m 2<br />

5 m<br />

20. Perimeter = m<br />

21.<br />

Draw a 180º rotation<br />

clockwise.<br />

22. Conor shuffled cards<br />

numbered as the first 5<br />

prime numbers. What is<br />

the chance of selecting<br />

an even number?<br />

20% 25%<br />

40% 0%<br />

handReview sample<br />

1<br />

0<br />

Liam Conor<br />

80%<br />

23. 250 g = 1 4 kg =<br />

0. kg<br />

24. How many faces has an<br />

octahedron?<br />

1.7 – 1.9 kg. 2.0 – 2.3 kg.<br />

15 kg. 10.1 – 10.5 kg.<br />

2. A fishing trawler had a capacity of 12,000 kg.<br />

The trawler caught one third of its capacity.<br />

How many kilograms of fish were caught?<br />

kg<br />

cm<br />

14. 10.34 + 25 + 24 =<br />

25. If you draw a wall using<br />

a scale of 1:100 and it<br />

measures 20 mm, what is<br />

the actual length?<br />

m<br />

58 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 4 + – 9 =<br />

2. What is the chance of picking<br />

a spade from a deck of 52 cards?<br />

3. Name this triangle.<br />

in<br />

1. 0.7 × 0.9 =<br />

2. 3 + – 2 =<br />

3. 100 25 50 = 25<br />

4. Write<br />

90<br />

1,000 as a decimal.<br />

Week 20<br />

4. 0.8 × 0.2 =<br />

5. 5 m 24 cm = 5 24<br />

100 m = 5. m<br />

6. 26 24 50 = 100<br />

9<br />

7. Write 1,000 as a decimal.<br />

8. 2.3 – 0.9 =<br />

9. Tick the larger.<br />

9,850,725 9,800,925<br />

10. Change 4 3 7 to an improper fraction.<br />

11. 1 3 + 1 2 =<br />

12. 7 × y = 70, so y =<br />

13. What is the radius of a biscuit<br />

tin with a 30-cm diameter?<br />

14. 1 5 kg + 290 g + g = 1 kg<br />

15. 7 3 4 + 2 1 4 =<br />

16. Which is better value for money?<br />

250 g corn for 50c<br />

500 g corn for 95c<br />

17. 4 kg 450 g = 4 450<br />

1,000 kg = 4. kg<br />

18. A cube has<br />

faces.<br />

edges.<br />

vertices.<br />

19. 100,000 = 10 a , so a =<br />

cm<br />

20. Draw the axes of symmetry on the rectangle.<br />

5. 4 > – 5 True False<br />

6. 40 × 8 = 320, 39 × 8 =<br />

7. The LCD of 3 8 and 2 3 is .<br />

8. Is 29 a multiple of 3?<br />

9. 12 × = 8 × 6<br />

10. 1 – 0.001 =<br />

11. 1 – 0.01 =<br />

12. 1 – 0.1 =<br />

13.<br />

Draw after a 270° rotation clockwise.<br />

14. There were 40 red and 10 yellow jelly beans in a bag.<br />

What is the simplified ratio of red to yellow?<br />

15. 5 kg 720 g = 5 720<br />

1,000 kg = 5. kg<br />

16. A triangular prism has<br />

faces.<br />

edges.<br />

vertices.<br />

17. Draw lines to match the total degrees to the shapes.<br />

Quadrilateral 720º<br />

Triangle 360º<br />

Pentagon 540º<br />

Hexagon 180º<br />

Review sample<br />

18. Insert the correct symbol (, =).<br />

75% of €200 60% of €250<br />

19. Area = m 2<br />

20. Perimeter = m<br />

10 m<br />

6 m<br />

4 m<br />

3 m<br />

3 m<br />

6 m<br />

3 m 3 m<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 59


WEDNESDAY<br />

THURSDAY<br />

Week 20<br />

1. Write the numeral 1.2 million.<br />

2. 6 + – 8 =<br />

3. 1 – 0.005 =<br />

4. 31 9 =<br />

1. What is the perimeter of a regular pentagon with<br />

7-cm sides?<br />

cm<br />

2. What is the probability of selecting a red jelly bean from<br />

a jar with 5 red and 15 white ones?<br />

5. How many of Box B<br />

will fit into Box A?<br />

6 cm<br />

2 cm<br />

2 cm<br />

2 cm<br />

1 cm<br />

1 cm<br />

3. 5 + – 9 =<br />

0.2 0.25<br />

5<br />

15 5%<br />

6. A recipe calls for 3 cups of flour and 2 eggs for<br />

a cake to serve 2. What is the simplified ratio of flour<br />

to eggs?<br />

7. 6 m 7 cm = 6 7<br />

100 m = 6. m<br />

8. a = °<br />

9. Halve 1.2.<br />

10. 1 2 > 0.07 True False<br />

11. 3 2 5 = 30<br />

12. Write 900<br />

1,000 as a decimal.<br />

13. Simplify 12<br />

30 .<br />

14. Round 5.496 to two decimal places.<br />

15. 1 2 + 1 4 =<br />

16. 45 × = 10 × 9<br />

17. What is the sum of the prime numbers < 10?<br />

18. Draw a net of a triangular pyramid.<br />

19. Draw in the missing line of symmetry.<br />

5<br />

1<br />

2<br />

a<br />

75º<br />

4. How many faces has an octahedron?<br />

5. 400,000 – 10,000 =<br />

6. What is the area of a floor 6 m by 3 m?<br />

m 2<br />

7. Write the numeral 2.9 million.<br />

8. 0.2 × 0.6 =<br />

9. 50 5 2 = 5<br />

10. Name this triangle.<br />

11. Tick the largest.<br />

4,010,000 4,000,000 3.8 million<br />

12. 6.07 + 12.92 =<br />

13. 2 × a = 400, so a =<br />

14. The answer for 24 × 29. Which digit will the unit be?<br />

3 6 8 0<br />

15. Which is better value for money?<br />

Review sample<br />

100 g sweets for 90c<br />

125 g sweets for €1.40<br />

16. 1 × = 45 ÷ 9<br />

17. 2 kg 50 g = 2 50<br />

1,000 kg = 2. kg<br />

3<br />

18. 1 2 + 2 3 =<br />

3<br />

19. Will a square and a rectangle tessellate together?<br />

2<br />

1<br />

5<br />

20. 60 × 7 = 420, 59 × 7 =<br />

20. 2.97, 2.98, 2.99,<br />

60 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

paving<br />

garden<br />

108°<br />

108°<br />

108°<br />

Monday<br />

1. A recipe for 3 needs 4 cups of flour to 1 egg. How<br />

many cups and eggs will be needed to serve 18?<br />

cups and<br />

10 m<br />

108°<br />

W<br />

eggs<br />

2. Another recipe had a simplified ratio of 3:2 (flour to<br />

eggs) to serve 4. How many cups of flour and eggs<br />

to serve 20?<br />

cups and<br />

Tuesday<br />

1. Total paving area = m 2<br />

eggs<br />

6 m<br />

2. What fraction of the total area is the garden?<br />

Wednesday<br />

A landscaper charged €50 per square metre for<br />

paving and €20 per square metre for the garden.<br />

1. What was the cost of the paving? €<br />

2. What was the price for the garden? €<br />

Thursday<br />

1. Write the sizes of the angles.<br />

a = °<br />

b = °<br />

c = °<br />

d = °<br />

36°<br />

72°<br />

X<br />

d<br />

36°<br />

1. 3 + – 7 =<br />

2. 0.6 × 0.3 =<br />

3. 8 m 35 cm = 8 35<br />

100 m<br />

= 8. m<br />

4. Name this triangle.<br />

5. 3 4 = %<br />

6. What is the area of a floor<br />

12 m by 4 m?<br />

7. 9 3 4 + 1 2 =<br />

8. 1 – 0.001 =<br />

m 2<br />

9. 5 15 70 = 90<br />

2<br />

10. Write 1,000 as a decimal.<br />

11. 0.09 > 0.24<br />

True<br />

12. Simplify 30<br />

90 .<br />

False<br />

13. Round 15.409 to 2<br />

decimal places.<br />

14. A tetrahedron has<br />

faces.<br />

edges.<br />

vertices.<br />

15. 33.9, 30.7, 27.5<br />

Rule =<br />

16. 9.97, 9.98, 9.99,<br />

19. 1 2 + 1 3 =<br />

20. The angles in a<br />

quadrilateral all add up to<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

°.<br />

21. A chocolate factory made<br />

2,000 milk chocolates<br />

for every 1,000 dark<br />

chocolates. The simplified<br />

ratio of milk to dark<br />

chocolates is<br />

22. What is the perimeter of<br />

a regular hexagon with<br />

9-cm sides?<br />

cm<br />

23. Plot the points of 3 corners<br />

of a triangle (0,1), (3,5)<br />

and (5,0).<br />

1 2 3 4 5<br />

24. Which is better value<br />

for money?<br />

200 g of peas<br />

for €0.45<br />

500 g of peas<br />

for €1.00<br />

25. Circle the probability of<br />

selecting a green jelly bean<br />

from a jar if there are 25<br />

green, 50 red, 10 white<br />

and 15 black.<br />

Review sample<br />

0 0.25 0.5 0.75 1<br />

.<br />

Week 20<br />

a b Y<br />

108° 108°<br />

c<br />

108°<br />

2. Which 2 triangles are congruent?<br />

and<br />

(HINT: congruent means having exactly the same shape and size.)<br />

17. 2 kg 79 g = 2 79<br />

1,000 kg<br />

= 2. kg<br />

18. 2 × a = 1,000,<br />

so a =<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 61


MONDAY<br />

TUESDAY<br />

Week 21<br />

1. – 2 + – 3 =<br />

2. 0.6 × 0.8 =<br />

3. 4 m 5 cm = 4 5<br />

100 m = 4. m<br />

4. Circle the composite number.<br />

19 36 47<br />

5. Insert signs into this number sentence.<br />

1. – 3 + – 5 =<br />

2. 2 5 = × × × ×<br />

=<br />

3. 40 × y = 200, so y =<br />

4. 0.7 × 0.4 =<br />

5. Change 4 3 7 to an improper fraction.<br />

(10 5) 2 = 30<br />

6. Which is better value for money?<br />

300 g of fruit for €1.44<br />

500 g of fruit for €2.50<br />

7. 6 kg 200 g = 6 200<br />

1,000 kg = 6. kg<br />

8. 2 3 + 2 3 =<br />

9. Name this 2-D shape.<br />

10. Add brackets to make this number sentence true.<br />

11.<br />

7 ÷ 1 – 5 + 2 = 0<br />

20 % off<br />

12. Round 6.73 to one decimal place.<br />

13. Graph a triangle using<br />

the coordinates (0,6), (2,1)<br />

and (6,2).<br />

14. Simplify 10<br />

12 .<br />

15. Simplify the ratio.<br />

10 : 5 = : 1<br />

WAS<br />

€ 50 NOW €<br />

16. Write the numeral one million and ten.<br />

y<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

1 2 3 4 5 6<br />

x<br />

6. Simplify 15<br />

20 .<br />

7. Insert signs into this number sentence.<br />

(80 8) 5 = 5<br />

8. A wizard needs 375 m of<br />

apple juice for his breakfast.<br />

Colour to show the level.<br />

9. The wizard then added 250 m of carrot juice.<br />

What is the new level?<br />

10.<br />

m<br />

How many of Box B will fit evenly into Box A?<br />

11. 2.543 + 3.042 =<br />

12. Is 64 a multiple of 8?<br />

13. Draw as a 90° rotation clockwise.<br />

14. What is the average of<br />

5, 8, 8 and 11?<br />

15. 40% of €90.00 = €<br />

2 cm<br />

2 cm<br />

Review sample<br />

5 cm<br />

3 cm<br />

4 cm<br />

1 cm<br />

16. How many degrees has a quadrilateral? °<br />

1<br />

250 m<br />

17. Round 12.567 to two decimal places.<br />

18. Write<br />

5<br />

1,000 as a decimal.<br />

19. 12.4, 9.3, 6.2 Rule =<br />

20. What is the perimeter of a regular pentagon with<br />

90-mm sides?<br />

mm<br />

17. 8 × 1 2 =<br />

18. The hour hand rotates °<br />

for each consecutive hour.<br />

19. 6 × = 10 × 3<br />

20. Write 2 1 4 million as a numeral.<br />

62 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. Write in ascending order.<br />

0.36 0.03 12%<br />

, , , ,<br />

2. 20% of €80.00 = €<br />

3<br />

5 0.3<br />

1. Write in descending order.<br />

2<br />

75% 0<br />

3 0.09<br />

, , ,<br />

2. Name this 2-D shape.<br />

Week 21<br />

3. Simplify the ratio.<br />

20 : 5 = : 1<br />

4. How many degrees has a triangle? °<br />

5. What speed is a car travelling at if it does 5 km every<br />

5 minutes? km/h<br />

6. – 4 + – 2 =<br />

7. 0.9 × 0.3 =<br />

8. How many degrees<br />

has the minute hand rotated?<br />

9. 5 m 20 cm = 5 20<br />

100 m<br />

°<br />

= 5. m<br />

10. What is the average of the following numbers?<br />

3, 6, 7 and 8<br />

11. 14 × 25 × 4 =<br />

12. Draw a net of<br />

a triangular prism.<br />

13. Insert signs into this number sentence.<br />

(5 6) 20 = 10<br />

14. Round 10.217 to two decimal places.<br />

15. 10 2 =<br />

16. What is the difference<br />

between the areas of the<br />

two squares?<br />

17. Write<br />

m 2<br />

50<br />

1,000 as a decimal.<br />

18. Add brackets to this number sentence.<br />

70 ÷ 10 × 5 ÷ 1 = 35<br />

19. 4 kg 20 g = 4 20<br />

1,000 kg = 4. kg<br />

20. 5.027 + 5.913 =<br />

11<br />

10<br />

9<br />

8<br />

7<br />

5 m<br />

3 m<br />

12<br />

6<br />

3 m<br />

1<br />

2<br />

3<br />

4<br />

5<br />

5 m<br />

3.<br />

How many of Box B will fit evenly into Box A?<br />

4. Round 8.447 to two decimal places.<br />

5.<br />

6. Simplify the ratio. 3 : 12 = : 4<br />

7. 4 5 + 4 5 =<br />

8. – 5 + – 4 =<br />

9. 4.2 m = cm<br />

10. Circle the prime number.<br />

11. 0.5 × 0.7 =<br />

12. 10 6 =<br />

13. 6 × 1 2 =<br />

2 cm<br />

3 cm<br />

7 cm 2 cm 1 cm<br />

10 % off<br />

19 36 50<br />

14. What is the difference<br />

between the areas of the<br />

two rectangles?<br />

m 2<br />

15. 7 × 30 = y + 10, so y =<br />

16. Which is better value for money?<br />

50 g sweets for €1.15<br />

200 g sweets for €1.60<br />

17. 6.184 + 3.512 =<br />

18. Tick the unit value of 32 × 18.<br />

0 6 1 3<br />

19. 4 × = 64 ÷ 8<br />

20. 2 3 of = 8<br />

2 cm<br />

WAS<br />

€ 50 NOW €<br />

7 m<br />

2 m<br />

3 m<br />

Review sample<br />

4 m<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 63


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 21<br />

Monday<br />

1. Write in ascending order.<br />

0.92 0.07<br />

4<br />

5 21% 0<br />

, , ,<br />

,<br />

12. Simplify the ratio.<br />

4 : 16 = 1 :<br />

13. Round 15.937 to two<br />

decimal places.<br />

FRUIT TREES<br />

1. The paving adjacent to the fruit trees is m<br />

by m.<br />

2. The total area of the paving is m 2 .<br />

Tuesday<br />

1. The circular garden is contained within the<br />

rectangular plot of land. What is the diameter of the<br />

circular garden?<br />

m<br />

2. The paving has a granite stone border around all<br />

its 4 sides. At €10 per metre length, what is the<br />

total cost?<br />

€<br />

Wednesday<br />

1. A lorry was weighed at 15,000 kg. After unloading,<br />

the lorry’s weight was 8,500 kg. What weight of<br />

goods was the lorry carrying?<br />

kg<br />

2. Goods were charged at €50 per 1,000 kg (


MONDAY<br />

TUESDAY<br />

1. 40 × 9 = 360, 39 × 9 =<br />

2. – 7 + – 4 =<br />

3. A jar has 10 red and 30 blue marbles.<br />

What is the probability of selecting a blue marble?<br />

4. 0.4 × 0.4 =<br />

in<br />

1. – 5 + – 6 =<br />

2. Write in descending order.<br />

0.015 0.3 0.2 0.45<br />

, , ,<br />

3. Write the numeral ten million, one thousand and one.<br />

Week 22<br />

5. 5 m 40 cm = 5 40<br />

100 m = 5. m<br />

6. 3 3 = × × =<br />

7. 0.97, 0.98, 0.99,<br />

8. Simplify 8 12 .<br />

9. What is the average of 60, 80, 50, 90 and 70?<br />

10. Insert signs into this number sentence.<br />

3 (4 4) = 19<br />

11. 1 – 0.002 =<br />

12. 7 10 + 9 10 =<br />

13. A tetrahedron has<br />

faces.<br />

edges.<br />

vertices.<br />

14. If a circle has a diameter of 100 cm, what is the radius?<br />

cm<br />

15. Vancouver in Canada is 8 hours behind Dublin. If it is<br />

5 p.m. in Dublin, what time is it in Vancouver?<br />

16. Use your estimating skills and knowledge of odd/even<br />

numbers. The answer to 27 × 17 is<br />

459. 454. 450. 456.<br />

17. Simplify the ratio.<br />

4. Simplify 9 12 .<br />

5. 2 6 =<br />

6. 60% of €300 = €<br />

7. 7 10 – 2 10 =<br />

8. 0.6 × 0.7 =<br />

9. Draw the axes of symmetry<br />

on the hexagon.<br />

10. Insert signs into this number sentence.<br />

12 (18 3) = 6<br />

11. If there are US$0.90 to €1.00, how<br />

many euro would you get for US$9.00? €<br />

5<br />

12. 2 kg 5 g = 2 1,000 kg = 2. kg<br />

13. If a car travels at 100 km/h, how far can it travel in<br />

15 minutes?<br />

km<br />

14. Name this 2-D shape.<br />

15. 5a = 15, so a =<br />

16. Simplify the ratio.<br />

Review sample<br />

5 : 45 = 1 :<br />

17. Round 20.063 to two decimal places.<br />

3 : 15 = 1 :<br />

18. Write a prime number between 20 and 30.<br />

19. – 10 + – 6 =<br />

20. 36 × 4 × 250 =<br />

18. 19 × 50 × 20 =<br />

19. 999,997 + = 1,000,003<br />

20. Mia had a shuffled deck of cards with multiples of 3, from<br />

3 to 36. Tick her chance of selecting an odd number.<br />

25% 12% 50% 3%<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 65


WEDNESDAY<br />

THURSDAY<br />

Week 22<br />

1. Write the numeral ten million, ten thousand and ten.<br />

2. – 2 + – 3 =<br />

3. Halve 1 3 =<br />

1. – 4 + – 8 =<br />

2. Add brackets to this number sentence.<br />

80 ÷ 10 × 1 + 7 – 60 = 4<br />

3. Name this 2-D shape.<br />

4. It is 8.20 p.m. in Ireland and 10.20 p.m. on the same day<br />

in Egypt. What is the time difference?<br />

4. 0.4 × 0.5 =<br />

5. Write in ascending order.<br />

1<br />

10<br />

3<br />

4<br />

1<br />

2<br />

, , ,<br />

2<br />

100<br />

6. If there are US$0.90 to €1.00, how many euro would you<br />

get for US$1.80?<br />

€<br />

7. Round 5.803 to two decimal places.<br />

8. Name this 3-D shape.<br />

9. 31, 34, 37, , 43<br />

10. Write 450<br />

1,000 as a decimal.<br />

11. Tick the correct value. It was 0 ºC. The temperature dropped<br />

by 5 degrees.<br />

5 °C –5 °C<br />

12. 7y = 35, so y =<br />

13. 5.541 + 2.038 =<br />

14. The measurement at A is mm.<br />

80<br />

90 100<br />

cm<br />

A<br />

15. How many degrees has a quadrilateral? °<br />

16. How many faces has an octahedron?<br />

17. Order 0.14, 3%, 0.09 and 1 4 in ascending order.<br />

, , ,<br />

18. A straight angle has °.<br />

19. What is the value of the 9 in 973,778?<br />

5. 8.85, 8.9, 8.95,<br />

6. 7 m 3 cm = 7 3<br />

100 m = 7. m<br />

7. 8 20 + 14<br />

20 =<br />

8. Insert signs into this number sentence.<br />

20 (24 2) = 8<br />

9. Which is better value for money?<br />

€50 jacket with a 20% discount<br />

€60 jacket with a 25% discount<br />

10. 395,000 + = 500,000<br />

11. 3 kg 50 g = 3 50<br />

1,000 kg = 3. kg<br />

12. What will I pay for a €60 dress if there is<br />

a 30% reduction?<br />

€<br />

13. y = °<br />

14. Simplify the ratio.<br />

6 : 36 = 1 :<br />

45<br />

15. Write 1,000 as a decimal.<br />

16. 6.234 + 2.501 =<br />

17. 38 × 5 × 200 =<br />

18. 9 2 =<br />

19. What is the length of the radius?<br />

cm<br />

20. What is the difference in area?<br />

m 2<br />

50° 50°<br />

Review sample<br />

7 m<br />

y<br />

12 cm<br />

20. 0.03 = %<br />

6 m<br />

2 m<br />

3 m<br />

66 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. A magician charged €100 for a 90-minute show.<br />

On Saturday, he made €500. For how long did he<br />

perform that day?<br />

2. What is the 7th triangular number?<br />

Tuesday<br />

1. The length of Side a = cm<br />

2. The radius of each circle = cm<br />

1.<br />

Wednesday<br />

2. Enda halved a number, added 5 and multiplied<br />

it by 3. His answer was 45. What number did he<br />

start with?<br />

Thursday<br />

1. What is the area of the paving? m 2<br />

4 m<br />

a<br />

2 m<br />

1st 2nd 3rd<br />

Fold<br />

3 m<br />

4 m<br />

8 m<br />

21 cm<br />

2 m<br />

garden<br />

paving<br />

2. It costs €50 to pave a square metre. How much will<br />

this space cost the owner?<br />

Cut<br />

Cut<br />

Unfold and draw.<br />

1. 0.5 × 0.3 =<br />

2. Add brackets to this number<br />

sentence.<br />

60 ÷ 10 × 1 + 9 – 6 = 54<br />

3. 6 m 20 cm = 6<br />

20<br />

100 m<br />

= 6. m<br />

4. a = °<br />

5. Name this 2-D shape.<br />

6. – 8 + – 3 =<br />

7. 0.02 = %<br />

8. 6,000 – a = 300 × 10,<br />

so a =<br />

9. 7.85, 7.90, 7.95,<br />

10. 6 20 + 9 20 =<br />

11. 80 × 9 = 720, 79 × 9 =<br />

12. Argentina is 4 hours behind<br />

Dublin. If it is 7 p.m. in<br />

Dublin, what time is it in<br />

Argentina?<br />

13.<br />

45º<br />

50 % off<br />

90º<br />

14. Simplify the ratio.<br />

4 : 24 = 1 :<br />

a<br />

WAS<br />

€ 70<br />

NOW<br />

€<br />

15. What is the radius of the<br />

circle?<br />

2.4 cm<br />

cm<br />

2.4 cm<br />

16. Round 20.527 to two<br />

decimal places.<br />

17. Simplify 16<br />

18. 9 10 – 5 10 =<br />

20 .<br />

19. If there are US$0.90<br />

to €1.00, how many<br />

euro would you get for<br />

US$18.00?<br />

€<br />

20. 3 kg 4 g = 3 4<br />

1,000 kg =<br />

3. kg<br />

21. 999,992 +<br />

= 1,000,001<br />

22. 3.408 + 2.161 =<br />

23. Write in ascending order.<br />

0.82 8.5% 9 10 0.075<br />

, ,<br />

24. If a car is travelling at<br />

80km/h, how far can it<br />

travel in 4 1 2 hours?<br />

Review sample<br />

,<br />

km<br />

25. What is the chance of<br />

selecting a green jelly sweet<br />

from a jar which has 20<br />

yellow, 20 green and 60<br />

red jellies?<br />

% or 0.<br />

Week 22<br />

€<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 67


MONDAY<br />

TUESDAY<br />

Week 23<br />

1. – 4 + – 8 =<br />

2. 1.2 × 0.3 =<br />

3. 6 1 4 + e = 6 3 4 , so e =<br />

4. Insert signs into this number sentence.<br />

1. 0.5 × 0.8 =<br />

2. Insert signs into this number sentence.<br />

20 (72 9) = 12<br />

3. Simplify the ratio. 2 : 10 = 1 :<br />

5 (15 5) = 2<br />

5. Simplify 200<br />

500 .<br />

6. Write the numeral ten million, one hundred<br />

and eleven thousand.<br />

7. What will I pay for a €500 phone with a 25% discount?<br />

€<br />

8. Round 1.459 to one decimal place.<br />

9. y = °<br />

10. 44, 88, 176, , 704<br />

11. 3 kg 40 g = 3 40<br />

1,000 kg = 3. kg<br />

12. 70% of €300 = €<br />

13. What is the difference in area? m 2<br />

14. (40 ÷ 5) × (5 × 10) =<br />

15. Double 8.9.<br />

16. 14 ten thousands, 21 thousands and 15 hundreds<br />

=<br />

17. 1 4 kg + g + 1.4 kg = 2 kg<br />

18. Is 27 a multiple of 3 and 9?<br />

19. 1 2 + 1 4 =<br />

8 m<br />

5 m<br />

20. 3 5 = %<br />

80°<br />

2 m 5 m<br />

y<br />

40°<br />

4. 25 × 4 × 86 =<br />

5. 0.02 × 10 =<br />

6. 3 kg 4 g = 3 4<br />

1,000 kg = 3. kg<br />

7. 3, 9, 27, 81 Rule =<br />

8. 5.029 + 2.236 =<br />

9. Colour to show 3 4 of a litre.<br />

= m<br />

10. What is the chance of you<br />

selecting a King from a deck of<br />

52 playing cards?<br />

11. – 6 + – 4 =<br />

in<br />

12. 1% of €100 = €<br />

13. What is the perimeter of a regular pentagon with<br />

60-mm sides?<br />

mm<br />

14. If a car travels 5 km in 3 minutes, how far does it travel<br />

in one hour?<br />

km<br />

15. Write in descending order.<br />

2.02 2.0 2.2 2.002<br />

Review sample<br />

, , ,<br />

The pie chart shows the favourite<br />

sports of <strong>6th</strong> <strong>Class</strong> pupils.<br />

32 pupils were surveyed.<br />

16. How many liked football?<br />

17. How many liked hurling?<br />

18. What percentage liked tennis? %<br />

19. What fraction liked swimming?<br />

Tennis<br />

Hurling<br />

Swimming<br />

20. How many more liked football than hurling?<br />

1<br />

Football<br />

68 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. – 7 + – 3 =<br />

2. Simplify 6 9 .<br />

3. 200, 20, 2,<br />

4. Insert signs into this number sentence.<br />

Colour in.<br />

1. 1 5 = 0. = % =<br />

2. – 3 + – 5 =<br />

3. Draw a line of symmetry on the semicircle.<br />

Week 23<br />

(3 8) 16 = 40<br />

5. 0.04 × 100 =<br />

6. 10 4 5 = (improper fraction)<br />

7. Double 32.5.<br />

8. What is the difference between the areas<br />

of the two shapes?<br />

m 2<br />

9. 0.001 × 1,000 =<br />

10. Round 64,698 to the nearest thousand.<br />

11. A circle has a radius of 8 cm.<br />

What is the diameter?<br />

12. 2 3 5 + e = 3 1 5 , so e =<br />

cm<br />

13. Will a circle and a triangle tessellate together?<br />

14. What will I pay for a €500 TV if<br />

there is a 75% discount?<br />

€<br />

15. Write the numeral ten million, one hundred and one.<br />

16. 3 kg 400 g = 3 400<br />

1,000 kg = 3. kg<br />

17. 4.237 + 3.129 =<br />

18. Write in ascending order.<br />

1<br />

5<br />

3<br />

4<br />

2<br />

100<br />

, , ,<br />

19. What is the perimeter of a regular hexagon with<br />

70-mm sides?<br />

20. Which is better value?<br />

mm<br />

€80 suit with a 75% discount<br />

€90 suit with a 66 2 3 % discount<br />

4 m<br />

75 %<br />

OFF!<br />

1<br />

3<br />

3 m<br />

8 m<br />

8 cm<br />

3 m<br />

TV<br />

4. The place value of the 5 in 2.052 is .<br />

5. 1.5 × 0.4 =<br />

6. Double 17.5.<br />

7. It is 2.15 a.m. in Ireland. It is 11.15 a.m. on the same<br />

day in Australia. What is the time difference?<br />

8. 1 3 5 + 4 5 =<br />

9. 6 80<br />

100 = (improper fraction) 100<br />

10. If there are £0.60 to €1.00, how many euro would you<br />

get for £15.00?<br />

€<br />

11. 3 1 5 – 4 5 =<br />

12. Simplify the ratio. 6 : 30 = 1 :<br />

13. Round 3.654 to two decimal places.<br />

14. 0.001 × 200 =<br />

15. A circular driveway has a radius of 5 m.<br />

What is the diameter?<br />

54<br />

16. Write 1,000 as a decimal.<br />

17. 4 × × 17 =1,700<br />

18. Complete the pattern.<br />

Review sample<br />

1 2<br />

1<br />

19. 5 ÷ 1 2 =<br />

2 2<br />

4<br />

20. What is the perimeter of a regular octagon<br />

with 50-mm sides?<br />

mm<br />

4 2<br />

16<br />

m<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 69


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 23<br />

Monday<br />

PET STORE<br />

1. – 5 + – 8 =<br />

2. 2 5 = %<br />

3. Simplify 12<br />

15 .<br />

4. Double 28.5.<br />

16. Write in descending order.<br />

1<br />

5<br />

1<br />

3<br />

3<br />

10<br />

, , ,<br />

17. y = °<br />

1<br />

100<br />

y<br />

5. 5 1 5 – 3 5 =<br />

60º 60º<br />

0 A B<br />

1. What is the length of the sign? mm<br />

2. Work out the measurements.<br />

A = mm B = mm<br />

Tuesday<br />

1. All non-numbers from a deck of 52 playing cards<br />

were removed. Circle the chance of selecting a<br />

♠ on the chance line. (Shuffled cards and randomly<br />

chosen.)<br />

0 0.25 0.5<br />

2. The chance of not selecting a ♠ is %.<br />

Wednesday<br />

Here is a survey of food<br />

places in an Irish town.<br />

Find the percentage of<br />

1. fast food places. %<br />

2. cafes. %<br />

Thursday<br />

1. Which spinner has the best chance<br />

of landing on a 2?<br />

2. Write the chance, as a percentage,<br />

of each spinner landing on a 5.<br />

A = %<br />

B = %<br />

C = %<br />

3,600 mm<br />

0.75 1<br />

SURVEY<br />

Cafes - 4<br />

Bakeries - 3<br />

Fast Food - 18<br />

4<br />

9<br />

6.<br />

Music store<br />

What is the height of<br />

this sign?<br />

7. 4 × 59 × 250<br />

=<br />

8. 0.07 × 100 =<br />

mm<br />

9. 75% of €200.00 =<br />

€<br />

10. Double the size of this shape.<br />

11. Use – and ÷.<br />

18 (9 3) = 15<br />

12. 3.048 + 2.527 =<br />

13. 15 ten thousands<br />

15 thousands<br />

15 hundreds<br />

=<br />

14. Simplify the ratio.<br />

7 : 35 = 1 :<br />

15. What is the perimeter of<br />

a regular hexagon with<br />

50-mm sides?<br />

mm<br />

850 mm<br />

18. Round 4.477 to<br />

two decimal places.<br />

19. The time is 3.15 p.m. in<br />

Ireland and 8.15 p.m.<br />

on the same day in<br />

India. What is the time<br />

difference?<br />

20. 5 ÷ 1 2 =<br />

21. A circular driveway has a<br />

radius of 3 m. What is the<br />

diameter?<br />

22.<br />

m<br />

Name this 3-D shape.<br />

23. The shape in Question 22<br />

has<br />

Review sample<br />

5<br />

7<br />

9<br />

8<br />

7<br />

6<br />

A<br />

B<br />

2<br />

4<br />

C<br />

10 1<br />

5<br />

2<br />

3<br />

4<br />

faces.<br />

edges.<br />

vertices.<br />

24. 77, 154, 308,<br />

25. If a car travels 4 1 2 km in<br />

3 minutes, how far can it<br />

travel in 1 hour?<br />

km<br />

70 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. – 3 + – 6 =<br />

2. A fridge costs €300 plus 20% VAT.<br />

What is the total price?<br />

€<br />

3. Double the size of this shape.<br />

Draw using the grid.<br />

1. – 4 + – 10 =<br />

2. Area of a path 2 m by 18 m? m 2<br />

3. 2 × 9 × 3 =<br />

4. Simplify 30<br />

35 .<br />

5. Write the numeral ten million, one hundred<br />

and ten thousand, one hundred and ten.<br />

Week 24<br />

4. Change 9 2 3 to an improper fraction.<br />

5. 2 – 1.75 =<br />

6. 0.50, 0.75, , 1.25<br />

7. Simplify 20<br />

25 .<br />

8. 6 ÷ 0.5 =<br />

9. 0.09 × 100 =<br />

10. 1.5 × 0.4 =<br />

11. Round 0.297 to one decimal place.<br />

12. 6 3 5 + 2 4 5 =<br />

13. 2 × 7 × 3 =<br />

14. 6.645 – 2.032 =<br />

15. 6 1 5 – 4 5 =<br />

16. y = °<br />

17. If 2 3 of a class of 30 are wearing a uniform,<br />

how many are not wearing it?<br />

18. 10 371 = r<br />

19. 9.7 – e = 9, so e =<br />

y 50°<br />

20. Write the decimal four point zero five.<br />

6. 127 ÷ 10 = r<br />

7. 6 kg 30 g = 6 30<br />

1,000 kg = 6. kg<br />

8. If you cycle your new blue bike for half<br />

an hour and cover 13 1 2 km, how fast<br />

are you travelling?<br />

km/h<br />

9. A square-based pyramid has<br />

faces.<br />

edges.<br />

vertices.<br />

10. Complete the multiples of 3 and 4.<br />

Colour any matching multiples.<br />

11. 3 5 = 0.<br />

3 6 9<br />

4 8 12<br />

12. 1 – 0.005 =<br />

13. 1 hectare (ha) = m 2<br />

14. The angles in a trapezium add up to °.<br />

15. An obtuse angle is less than a reflex angle.<br />

Review sample<br />

True<br />

16. 7 2 10 – 9 10 =<br />

17. 1 2 + 2 5 =<br />

False<br />

18. 6 2 =<br />

19. 625 m = 5 8 = 0.<br />

20. If there are 1,000 teachers and 3 4 of<br />

them are female, how many are male?<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 71


WEDNESDAY<br />

THURSDAY<br />

Week 24<br />

1. The place value of the 0 in 84,170 is .<br />

2. – 6 + – 8 =<br />

3. 1.3 × 0.4 =<br />

4. 6 96 = 96 ÷ 6 = 96 6<br />

= 60 6 + 36 6 = 10 + =<br />

5. 4 5 = 0.<br />

6. (200 ÷ 4) ÷ 10 =<br />

7. Halve 1 3 .<br />

8. What 3-D shape can you make by stacking circles?<br />

9. Double 13.5.<br />

10. A cuboid has<br />

faces.<br />

edges.<br />

vertices.<br />

11. The minute hand will rotate °<br />

from 11 to 3.<br />

12. 8.495 – 2.342 =<br />

13. On the first grab, what is the chance of<br />

selecting a €1.00 coin from a wallet consisting of<br />

€3.00 in €1.00 coins and €3.00 in 50c coins?<br />

14. 1 2 – 1 4 =<br />

in<br />

15. Simplify the ratio. 8 : 56 = 1 :<br />

16. Is 33 a prime number?<br />

17. y = °<br />

18. 900 m = 9 10 = 0.<br />

19. 2 4 =<br />

11<br />

10<br />

9<br />

8<br />

7<br />

12<br />

6<br />

y 45°<br />

1<br />

2<br />

3<br />

4<br />

5<br />

1. 1 10 = 0. = %<br />

2. A washing machine costs €250 plus 20% VAT.<br />

What is the total price? €<br />

3. Draw the axes of symmetry on the hexagon.<br />

4. Double 1 4 .<br />

5. Round 2.565 to two decimal places.<br />

6. 6 132 = 132 ÷ 6 = 132<br />

= 120<br />

6 + 12 6 = 20 + =<br />

7. 1.8 × 0.2 =<br />

8. 8 2 3 + 1 2 3 =<br />

9. 7 kg 5 g = 7 5<br />

1,000 kg = 7. kg<br />

10. x = °<br />

11. 4.273 + 2.064 =<br />

12. Write in descending order.<br />

808 1.8 2 1 2<br />

6<br />

, ,<br />

13. Complete the multiples of 4 and 6. Colour any<br />

matching multiples.<br />

4 8<br />

6 12<br />

14. Round 24.0786 to three decimal places.<br />

15. The angles in a parallelogram add up to °.<br />

16. 1 – 0.009 =<br />

17. Write the decimal three point two four.<br />

18. 63 5 = (mixed number)<br />

19. Simplify the ratio. 9 : 36 = 1 :<br />

Colour in.<br />

Review sample<br />

x<br />

45°<br />

20. 50%<br />

(fraction) =<br />

20. 1 8 = m<br />

(decimal) =<br />

= (colour the circle to show)<br />

72 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. Complete the multiples of 4 and 5.<br />

Colour the matching multiples.<br />

4<br />

5<br />

1. 1.9 × 0.2 =<br />

2. 1 4 = 0.<br />

3. – 3 + – 4 =<br />

4. Double this shape.<br />

17. Insert signs into this<br />

number sentence.<br />

(50 2) 5 = 30<br />

18. 7 3 7 = (improper fraction)<br />

Week 24<br />

2. What will be the next matching multiple of 4 and 5?<br />

Tuesday<br />

A<br />

2 C 4<br />

B 5<br />

A<br />

2 C 4<br />

B 5<br />

1. Which face is opposite 5?<br />

2. Which face is opposite C?<br />

Wednesday<br />

1. 32,000 = 25 × × 8 × 4<br />

2. 25 × × 2 × 8 = 32,000<br />

Thursday<br />

1. The minute hand rotated from 1 to 11.<br />

How many degrees of rotation?<br />

°<br />

11<br />

10<br />

9<br />

8<br />

7<br />

12<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

5. A television costs €400<br />

plus 20% VAT. What is<br />

the total price?<br />

€<br />

6. 10 – e = 9 1 2 ,<br />

so e =<br />

7. 7 2 5 – 4 5 =<br />

8. (2,000 ÷ 20) ÷ 5 =<br />

9. 7 2 =<br />

10. 8.476 – 3.054 =<br />

11. 3,679 m =<br />

12. 2 × 83 =<br />

13. 1 – 0.007 =<br />

14. x = °<br />

x<br />

125º<br />

19. Draw a 270° clockwise<br />

rotation.<br />

20. A triangular prism has<br />

faces.<br />

edges.<br />

vertices.<br />

21. 4.295 + 2.334 =<br />

22. The angles in a rhombus<br />

add up to °.<br />

23. 333 m = 1 3 =<br />

0.<br />

24. Complete the multiples<br />

of 4 and 8. Colour any<br />

matching multiples.<br />

4 8<br />

Review sample<br />

8<br />

2. The hour hand moves from 1 to 2 in<br />

minutes. Each mark (minute) equates to<br />

15. Complete the magic square.<br />

4<br />

minutes for the hour hand.<br />

12<br />

1<br />

2<br />

3<br />

5<br />

8 6<br />

16. 7 3 4 + 3 3 4 =<br />

25. What is the chance of<br />

choosing a red jelly bean<br />

from a jar containing 1 red<br />

and 99 green ones?<br />

in<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 73


MONDAY<br />

TUESDAY<br />

Week 25<br />

1. – 6 + – 8 =<br />

2. 3 3 4 + e = 4 1 2 , so e =<br />

3. a = °<br />

4. A new phone costs €500 plus 20% VAT.<br />

What is the total price?<br />

€<br />

5. 1.5 × 0.4 =<br />

6. Simplify 4 10 .<br />

7. Is 19 a prime number?<br />

8. 30 – 1 3 =<br />

9. Draw the axes of symmetry on<br />

this hexagon.<br />

10. 3 4 = 0.<br />

11. Write 5<br />

100 as a decimal. 0.<br />

12. 8.549 – 2.035 =<br />

13. y = °<br />

y 45°<br />

14. Round 20.4853 to three decimal places.<br />

15. 750 m = 3 4 = 0.<br />

16. 999,997 , 999,998 , 999,999 ,<br />

17. Rotate the rectangle 90° clockwise and draw<br />

the new position.<br />

18. How long is the pencil? mm<br />

c m<br />

10<br />

11 12 13<br />

14 15 16<br />

65°<br />

45° a<br />

1. The angles in a triangle are 40° and 85°.<br />

What is the 3rd angle? °<br />

2. 400,000 , 600,000 , 800,000 ,<br />

3. 900 – × = 200, so x =<br />

4. 10 5 =<br />

5. – 4 + – 12 =<br />

6. (900 ÷ 30) × 5 =<br />

7. Halve 1 8 .<br />

8. 1.6 × 0.3 =<br />

9. If 4 5 of your class of 25 eat porridge for breakfast,<br />

how many do not?<br />

10. Name this 3-D shape.<br />

11. How many faces has the above shape?<br />

12. How many edges?<br />

13. How many vertices?<br />

14. How many of Box B will<br />

fit evenly into Box A?<br />

9<br />

15. Write 1,000 as a decimal.<br />

16. 7.569 – 5.241 =<br />

17. 1 2 + 1 3 =<br />

Review sample<br />

7 cm<br />

18. 8 kg 250 g = 8 250<br />

1,000 kg = 8. kg<br />

12 m<br />

3 m<br />

3 m<br />

5 cm<br />

2 cm<br />

5 m<br />

1 cm<br />

1 cm<br />

2 cm<br />

19. If three of these pencils are placed end-to-end, how long<br />

would they be?<br />

mm<br />

20. Tick the larger. 50% of 20<br />

15% of 60<br />

5 m<br />

3 m<br />

3 m<br />

12 m<br />

19. Area = m 2<br />

20. Perimeter = m<br />

74 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 1 4 + 1 8 =<br />

2. A microwave costs €200 plus 20% VAT.<br />

What is the total price?<br />

€<br />

3. 6 – 2 5 =<br />

4. 1.4 × 0.5 =<br />

5. Round 15.5089 to three decimal places.<br />

6. 0.6 × 4 =<br />

7. Halve 1 5 .<br />

8. Name this 3-D shape.<br />

9. This shape has faces.<br />

edges.<br />

vertices.<br />

10. Rotate the rectangle 180° anticlockwise and draw the<br />

new position.<br />

11. 250 m = 1 4 = 0.<br />

12. 250,000 , 500,000 , 750,000 ,<br />

13. Write in ascending order.<br />

7.07 0.009 3 1 2<br />

, ,<br />

14. The angles in a rhombus add up to °.<br />

15. 1 1 4 = 1.<br />

16. y = °<br />

17. 1 8 of = 5<br />

18. A pencil case has 10 blue and 5 red pencils. What is the<br />

chance of choosing a red pencil?<br />

in<br />

19. 0.001 × 50 =<br />

y 50°<br />

20. Write the decimal four point zero five.<br />

1. What is the perimeter of a regular octagon with<br />

70-mm sides?<br />

mm<br />

2. A lorry left at 6.00 a.m. and arrived at its destination<br />

6 hours later. It covered 600 km.<br />

How fast was the lorry travelling?<br />

3. Two angles in a triangle are 45° and 90°.<br />

What is the 3rd angle? °<br />

4. The sum of 6.4 and 0.9 is .<br />

5. Draw a net of a pentagonal prism.<br />

6. Double 1 8 .<br />

7. (800 ÷ 40) ÷ 5 =<br />

8. 8 1 3 + 2 3 =<br />

9. – 8 + – 6 =<br />

10. 9.541 – 2.315 =<br />

11. 40% = 0.<br />

12. 10,000, 9,200, 8,400, 7,600,<br />

13. Round 14.2073 to three decimal places.<br />

14. 5 kg 4 g = 5 4<br />

1,000 kg = 5. kg<br />

15. Write in descending order.<br />

16. 0.9 × 5 =<br />

km/h<br />

1<br />

2 0.049 0.1 3%<br />

17. Write 11<br />

100 as a decimal. 0.<br />

, , ,<br />

Review sample<br />

18. The minute hand has rotated<br />

°.<br />

11<br />

10<br />

9<br />

8<br />

7<br />

19. Tick the larger. 75% of 40 35% of 100<br />

20. Are all the angles in an equilateral triangle acute?<br />

12<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

Week 25<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 75


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 25<br />

Monday<br />

1. A farmer has 2 hectares of land. For each<br />

1,000 m 2 , there are 8 sheep. How many sheep<br />

are on the farm altogether?<br />

2. If each sheep ate 10 m 2 of grass daily, how many<br />

square metres of grass are consumed on the farm<br />

each day?<br />

1. A large container of maple syrup<br />

is used at Pancake's Cafe.<br />

The chef uses 3 5 of the container<br />

in 10 days. How many litres does he use?<br />

2. On average, how many<br />

litres does the chef<br />

use each day?<br />

Wednesday<br />

At 3 p.m. on Monday, the 12th of July, Bobby asked<br />

his dad to tell him the date and time of the concert<br />

they were going to. Dad told him that the concert<br />

would start in exactly 245 hours.<br />

1. What day and date is the concert?<br />

1. Is 23 a prime number?<br />

17. a = °<br />

a<br />

2. – 9 + – 6 =<br />

65°<br />

55°<br />

3. 3 8 of = 9<br />

5<br />

18. Write 1,000 as a decimal.<br />

4. Halve 1 4 .<br />

5. A computer costs €1,000<br />

plus 20% VAT. What is the<br />

19. The minute hand has rotated<br />

m 2<br />

total price?<br />

°.<br />

€<br />

12<br />

11 1<br />

10 2<br />

6. 1.6 × 0.2 =<br />

9<br />

3<br />

8 4<br />

7. Write in descending order.<br />

7 5<br />

6<br />

7<br />

8 0.55 5% 0.1<br />

20. If 2 3 of your class of 27 ate<br />

Tuesday<br />

,<br />

8. 1 – 0.002 =<br />

21. The largest is<br />

9. Round 14.8569 to<br />

three decimal places.<br />

30% of 20.<br />

50% of 16.<br />

50 litres 40% of 15.<br />

, ,<br />

cereal this morning, how<br />

many did not?<br />

40<br />

30<br />

20<br />

10<br />

0<br />

10. 1 5 = 0.<br />

4<br />

11. Write 1,000 as a decimal.<br />

0.<br />

12. From A, how many<br />

millimetres to 3 m?<br />

80<br />

90 2000 10 20<br />

A<br />

13. Write the numeral<br />

1.9 million.<br />

mm<br />

22. The angles in a trapezium<br />

add up to<br />

23. 9<br />

1,000 = 0.<br />

°.<br />

24. How many faces has a<br />

square-based pyramid?<br />

Review sample<br />

25. Draw a net of a triangular<br />

prism.<br />

2. What time does it start?<br />

Thursday<br />

1. 1 4 , 1 2 , 1, 1 3 4 , 2 3 4 ,<br />

2. 1 3 , 2 3 , 1 1 3 , 2 1 3 ,<br />

14. 40% = 0.04<br />

True<br />

False<br />

15. The angles in a triangle are<br />

35º and 110º. What is the<br />

third angle?<br />

16. Write 2 1 4 as a decimal.<br />

°<br />

76 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 1 8 + 1 2 =<br />

2. 900 – e = 500, so e =<br />

3. The shaded area is m 2 .<br />

4. – 4 + – 9 =<br />

4 m<br />

6 m<br />

4 m<br />

6 m<br />

1. – 2 + – 9 =<br />

2. A fridge costs €250 plus 20% VAT. What is the total price?<br />

€<br />

3. (240 ÷ 60) × 7 =<br />

Week 26<br />

5. Write in descending order.<br />

4. 1.5 × 0.5 =<br />

5% 0.9 0.11 0.222<br />

5. Two angles in a triangle are 90° and 40°.<br />

6. Simplify 15<br />

20 .<br />

7. 1.8 × 0.3 =<br />

8. 9.638 – 4.374 =<br />

, , ,<br />

9. Round 16.6324 to three decimal places.<br />

10. Tick the larger.<br />

25% of 80 30% of 100<br />

11. 0.8, 1.1, 1.4, 1.7, , 2.3<br />

12. 25% of €100.00 = €<br />

13. The total cost of 5 sweets is 70c.<br />

What is the average cost of one sweet?<br />

14. 0.4 × 0.3 =<br />

15. 4 3 = × × =<br />

16. If there are £0.60 to €1.00, how many euro for £30.00?<br />

€<br />

17. Write the coordinates.<br />

A =<br />

B =<br />

C =<br />

18. 3 5 × 10<br />

12 =<br />

19. Write the numeral ten million, nine hundred and ninety<br />

thousand and ninety.<br />

20. 3a + 10 = 19, so a =<br />

B<br />

A<br />

c<br />

What is the 3rd angle? °<br />

6. 2,500 , 2,250 , 2,000 ,<br />

7. Draw the axes of symmetry<br />

on this octagon.<br />

8. Round 14.3692 to three decimal places.<br />

9. How many faces has a triangular prism?<br />

10. 500 m = 1 2 = 0.<br />

11. 0.6 × 0.3 =<br />

12. 32 = 2a, so a =<br />

13. 4 5 = 10 = 100 = %<br />

14. A pentagonal prism has<br />

faces.<br />

edges.<br />

vertices.<br />

15. 4y – 10 = 10, so y =<br />

16. Write the coordinates.<br />

Review sample<br />

C<br />

A =<br />

B =<br />

C =<br />

17. Area = m 2<br />

18. Perimeter = m<br />

19. 20 ten thousands and 20 hundreds as a numeral is<br />

2 m<br />

B<br />

5 m<br />

2 m<br />

C<br />

10 m<br />

A<br />

5 m<br />

4 m<br />

20. How many right angles has a square?<br />

.<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 77


WEDNESDAY<br />

THURSDAY<br />

Week 26<br />

1. Draw a net of a cylinder.<br />

2. – 3 + – 6 =<br />

3. 4 3 =<br />

4. 7.849 + 2.591 =<br />

5. 0.3 × 100 =<br />

6. 2 3 = 9<br />

7. The total cost of 4 chocolate bars is €3.20.<br />

What is the average cost of one chocolate bar?<br />

c<br />

8. y = °<br />

9. 6 kg 24 g = 6 24<br />

1,000 kg = 6. kg<br />

10. Write in ascending order.<br />

11. 2 3 × 6 8 =<br />

4% 6 1 4 0.5 2<br />

, , ,<br />

12. A bag contained 1 pink, 3 yellow and 6 white<br />

marshmallows. Tick the chance of randomly selecting<br />

a yellow marshmallow.<br />

13. 12<br />

20 = 0.<br />

3 0.3<br />

14. Write 40<br />

100 as a decimal.<br />

15. 10 – 0.9 =<br />

16. 2a – 15 = 25, so a =<br />

17. y = °<br />

18. 3 ÷ 1 2 =<br />

1<br />

4 0.25<br />

19. How many right angles has a trapezium?<br />

y<br />

55° 55°<br />

y 30°<br />

1. What is the size of this angle?<br />

°<br />

2. A car costs €10,000 plus 20% VAT.<br />

What is the total price? €<br />

3. 1.3 × 0.6 =<br />

4. 6.537 – 2.184 =<br />

5. 40% of €500 = €<br />

6. 49 × 37 = 1,813 813 6,993 1,816<br />

7. Round 23.0679 to three decimal places.<br />

8. Simplify 18<br />

21 .<br />

9. (320 ÷ 80) × 9 =<br />

10. Draw the rectangle after a 450° rotation anticlockwise.<br />

11. 400 m = 2 5 = 0.<br />

12. 4 9 × 3 8 =<br />

13. 8 – 0.02 =<br />

14. Tick the larger. 75% of 60 80% of 50<br />

15. Can a triangle and a square tessellate together?<br />

16. 0.05 = %<br />

17. Two angles in a triangle are 85° and 45°.<br />

Review sample<br />

What is the 3rd angle? °<br />

18. 5a – 15 = 15, so a =<br />

20. Insert signs into this number sentence.<br />

20 (64 8) = 12<br />

19. Write the coordinates.<br />

A =<br />

B =<br />

C =<br />

20. If you are paid €5.50 an hour for cleaning your room<br />

(it takes 3 hours!), how much do you earn?<br />

€<br />

B<br />

A<br />

C<br />

78 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. A sea container measured 10 m × 2 m × 2 m.<br />

It was filled with 80 crates of jelly beans.<br />

What was the volume of each crate?<br />

m 3<br />

2. Each crate weighed 50 kg. What was the total<br />

weight of the jelly beans?<br />

kg<br />

Tuesday<br />

1. The cost of the jelly beans was €2 per 500 g.<br />

What was the total cost of the shipment?<br />

€<br />

1 m<br />

B<br />

1 m<br />

1 m<br />

2. Which crate's dimensions match the volume?<br />

Wednesday<br />

1. To show 0.6 × 0.3,<br />

• colour 0.6 (vertically)<br />

• colour 0.3 (horizontally)<br />

The intersection (overlap) is the<br />

product of 0.6 and 0.3, which is<br />

2. Show 0.4 × 0.8.<br />

The intersection = .<br />

.<br />

Thursday<br />

1 m<br />

1 m<br />

1. Elaine thought of a number. She added 15 and<br />

divided it by 2. Her answer was 10.<br />

What number did she start with?<br />

100 × 10<br />

2. 1,000 50 × 20<br />

A<br />

0.5 m<br />

0.5 m<br />

C<br />

0.5 m<br />

0.5 m<br />

1. 0.97, 0.98, 0.99,<br />

2. – 3 + – 8 =<br />

3. 64 = 2a, so a =<br />

4. 1.6 × 0.3 =<br />

5. Write the coordinates.<br />

A =<br />

B =<br />

C =<br />

5<br />

4<br />

3<br />

2<br />

1<br />

6. 9 × 6 =<br />

7. 14<br />

20 = 0.<br />

8. The total cost of 6 pens is<br />

66c. What is the average<br />

cost of one pen?<br />

9. 2 3 = 15<br />

10. 5 8 × 4 15 =<br />

c<br />

11. 2y + 2 = 20,<br />

so y =<br />

12. A car costs €20,000 plus<br />

20% VAT. What is the total<br />

price?<br />

€<br />

0 1 2 3 4 5<br />

13. Two angles in a triangle are<br />

95º and 50º. What is the<br />

3rd angle?<br />

14. Draw a net of a cube.<br />

°<br />

15. 8.439 – 2.127 =<br />

16. Tick the larger.<br />

75% of 40<br />

35% of 100<br />

17. 40% of €500.00 =<br />

€<br />

18. 750 m = 3 4 =<br />

0.<br />

19. Can an ellipse tessellate?<br />

20. 9 6 8 + 4 3 4 =<br />

21. 6 ÷ 2 3 =<br />

22. 3 1 4 km = m<br />

23.<br />

The light-pink shaded<br />

area is<br />

24. 39 × 44 =<br />

cm 2 .<br />

1,716 1,714<br />

3,716 1,793<br />

25. If you are paid €4.50 per<br />

hour as a chocolate cake<br />

tester, what should you earn<br />

after 5 hours?<br />

Review sample<br />

HINT: Grid is 1 whole; each square<br />

= 0.01 or 10 squares = 0.1<br />

B<br />

A<br />

C<br />

€<br />

2 cm<br />

1 cm<br />

2 cm<br />

8 cm<br />

6 cm 6 cm<br />

Week 26<br />

25 ×<br />

12.5 ×<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 79


MONDAY<br />

TUESDAY<br />

Week 27<br />

1. How many right angles has a rectangle?<br />

2. What is the perimeter of a regular<br />

pentagon with 40-mm sides?<br />

3. – 9 + + 3 =<br />

mm<br />

1. – 10 + + 7 =<br />

2. 15 ÷ 0.5 =<br />

3. Write the numeral ten million, one thousand<br />

and one.<br />

4. Write 10 3 8 as an improper fraction.<br />

5. 350 , 700 , 1,050 , 1,400 , 1,750 ,<br />

6. 9,000 – e = 6,000, so e =<br />

7. 1.5 × 0.2 =<br />

8. Round 12.5675 to three decimal places.<br />

9. A pizza restaurant made 500 pizzas each day.<br />

40% had olives. How many pizzas had no olives?<br />

10. What is the average of these cricket scores?<br />

11. 1% = 0.<br />

4 0 35<br />

12. The value of the 5 in 250,470 is .<br />

13. 1 3 × 6 9 =<br />

14. If there are £0.60 to €1.00, how many euro<br />

for £6.00? €<br />

15. Draw to show a 270° rotation anticlockwise.<br />

16. A car costs €5,000 plus 20% VAT.<br />

What is the total price? €<br />

17. 10 ÷ 0.5 =<br />

18. If you are paid 1 1 2 times the normal rate (€5.00 per hour)<br />

what do you earn for 2 hours of work?<br />

4. Tick the larger. 75% of 80 70% of 90<br />

5. 2 e = 32, so e =<br />

6. Write in ascending order.<br />

473<br />

1000 4.00 34<br />

, , , ,<br />

7. The total cost of four pens is 48c.<br />

What is the average cost of one pen?<br />

8. Name this triangle.<br />

9. 5% = 0. = 100<br />

10. 5a – 5 = 20, so a =<br />

11. The angles in a triangle are 80° and 60°.<br />

What is the 3rd angle? °<br />

12. 300 g = 0. kg<br />

13. y = °<br />

14. (600 ÷ 30) × 50 =<br />

15. 250 m = 1 4 = 0.<br />

16. What percentage of 12 is 6? %<br />

41<br />

10 2 1 5<br />

17. Write the numeral two million, twenty thousand<br />

and two.<br />

18. 75% = 3 4 = 0.<br />

19. Name this 3-D shape.<br />

y<br />

45°<br />

Review sample<br />

c<br />

€<br />

19. Plot the coordinates<br />

(0,1), (3,5) and (3,1)<br />

to make a triangle.<br />

20. What type of triangle is it?<br />

20. Plot the coordinates<br />

(1,1), (1,4), (4,4) and (4,1).<br />

Connect the points.<br />

80 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 1.7 × 0.3 =<br />

2. Halve 0.04.<br />

3. 8<br />

20 = 0.<br />

4. 40 × 70 = e + 800, so e =<br />

1. 3 apples cost 50c. How much for 15 apples?<br />

€<br />

2. If 2 3 of your teachers cycle to school, what fraction<br />

do not cycle to school?<br />

Week 27<br />

5. Round 15.23 to one decimal place.<br />

6. The value of the 6 in 650,450 is<br />

3. Name this triangle.<br />

7. 2 3 of 30 =<br />

8. x = °<br />

9. 4% = 0.<br />

10. 3 4 × 2 3 =<br />

11. What is the average of these cricket scores?<br />

25, 52, 60 and 75<br />

12. What percentage of 5 is 2? %<br />

13. Double 12.6.<br />

14. 10a – 3 = 27, so a =<br />

15. 200 m = 1 5 = 0.<br />

16. You cleaned your room on Sunday and your pay<br />

was double time (normal rate €4.00 per hour).<br />

How much did you earn after 3 hours?<br />

€<br />

17. What is the lowest common<br />

denominator of 3 25 and 2 5 ?<br />

18. 20% = 1 5 = 0.<br />

19. Write in descending order.<br />

1<br />

4 8% 0.1<br />

, ,<br />

20. Draw lines to match.<br />

a 100°<br />

.<br />

85°<br />

55°<br />

a<br />

x<br />

b<br />

4. 4 5 of 50 =<br />

5. 1,000,000, 10,000, 100,<br />

6. Halve 0.08.<br />

7. 289 g = 0. kg<br />

8. – 5 + + 8 =<br />

9. Tick the larger. 20% of 80 25% of 60<br />

10. Plot the coordinates<br />

(0,5), (2,1) and (5,1)<br />

to make a triangle.<br />

11. 1 4 × 2 3 =<br />

12. Double 14.6.<br />

13. 400 mm = 0. m<br />

14. What is the LCD of 3 25 and 4 10 ?<br />

15. 2 25 = 0.<br />

16. 6a – 4 = 20, so a =<br />

17. What is the floor area of a classroom 9 m by 6 m?<br />

18. 11 2 =<br />

Review sample<br />

19. 30% = 3 10 = 0.<br />

m 2<br />

20. A car costs €2,500 plus 20% VAT. What is the total price?<br />

€<br />

b 80°<br />

80 º<br />

100 º<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 81


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 27<br />

1. 10,000<br />

2. 5<br />

Monday<br />

Tuesday<br />

1. The sum of 2 numbers is 14. The difference between<br />

the numbers is 4. The numbers are<br />

and .<br />

2. The product of 2 numbers is 48. The difference<br />

between the numbers is 2. The numbers are<br />

and .<br />

Wednesday<br />

1. The difference between<br />

the towns is<br />

km.<br />

2. If you lived in <strong>New</strong> Town, and your school<br />

was in Old Town, how many kilometres<br />

would you travel in a school week?<br />

1.<br />

100 ÷ 20<br />

km<br />

1,000 × 10<br />

500 × 20<br />

÷ 10<br />

÷ 25<br />

÷ 2.5<br />

× 80<br />

× 160<br />

Thursday<br />

4 , 9 3 9<br />

+ 2, 5 9<br />

1 2 0, 5 2 8<br />

OLD TOWN 105 km<br />

NEW TOWN 75 km<br />

1. 8 ÷ 0.5 =<br />

2. 450, 900, 1,350,<br />

3. Halve 0.06.<br />

4. 3,650 g<br />

, 2,250<br />

= kg g<br />

5. 2% = 0.<br />

6. – 3 + + 7 =<br />

7. 6.3 – 0.8 =<br />

8. 1.5 × 0.4 =<br />

9. Round 4.2718 to<br />

three decimal places.<br />

10. The value of the 7 in<br />

750,920 is .<br />

11. Plot the coordinates<br />

(0,5), (1,2) and (5,0).<br />

12. What is the floor area of a<br />

classroom 9 m by 7 m?<br />

13. 7 20 = 0.<br />

14. 1 4 × 8 12 =<br />

m 2<br />

15. Name this triangle.<br />

16. A car costs €1,500 plus<br />

20% VAT. What is the total<br />

price?<br />

€<br />

17. Two angles in a triangle are<br />

65º and 65º. What is the<br />

third angle?<br />

18. 800 g = 0. kg<br />

°<br />

19. Write in ascending order.<br />

71<br />

1,000<br />

71<br />

100<br />

, ,<br />

3<br />

5<br />

20. Write the numeral three<br />

million, thirty-three<br />

thousand and five<br />

hundred.<br />

21. 6 pencils cost 90c. What<br />

is the average cost of<br />

one pencil?<br />

22. 2 3 of 36 =<br />

c<br />

23. Your chocolate cake testing<br />

job pays time and a half on<br />

Saturdays. If you work for<br />

5 hours, what should you<br />

earn if the normal rate is<br />

€5.00 an hour?<br />

€<br />

24. If there are £0.60 to €1.00,<br />

how many euro would you<br />

get for £6.00?<br />

Review sample<br />

€<br />

25. 750 m = 3 4 =<br />

0.<br />

2.<br />

– 3 5 0<br />

4 5 0<br />

82 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. – 4 + + 5 =<br />

2. 1.8 × 0.2 =<br />

3. Round 3.4672 to three decimal places.<br />

4. Write 64 9 as a mixed number.<br />

5. 5,000, 4,000, 3,000,<br />

6. 60% discount on a €20.00 item.<br />

<strong>New</strong> price = €<br />

7. 2,000 = 400 + y, so y =<br />

8. A car is travelling at 60 km per hour.<br />

How long will it take to travel 1 km?<br />

9. The value of the 7 in 74,012 is .<br />

10. 65 m = 0.<br />

11. Double 8.09.<br />

12. Halve 8.09.<br />

13. 2 1 2 % = 0.<br />

minutes.<br />

14. What is the volume of a box 20 cm by 30 cm by 40 cm?<br />

15. 1.5 ÷ 0.3 =<br />

cm 3<br />

16. If there are US$0.90 to €1.00, how many euro for<br />

US$2.70? €<br />

17. Draw to show a 180° rotation anticlockwise.<br />

18. What is the average of these class results? %<br />

85% 60% 35%<br />

19. Tick which roads are parallel.<br />

1. – 5 + + 2 =<br />

2. What is the LCD of 2 3 and 6 8 ?<br />

3. (40 ÷ 8) × (8 – 5) =<br />

4. 1 3 × 3 4 =<br />

5. 1,200 – a = 700, so a =<br />

6. 30% discount on a €300.00 item.<br />

<strong>New</strong> price = €<br />

7. Double 7.009.<br />

8. Name this triangle.<br />

9. A car costs €7,500 plus 20% VAT.<br />

What is the total price? €<br />

10. How many lines of symmetry<br />

does this letter have?<br />

11. 89 m = 0. km<br />

12. 4 3 4 = (improper fraction)<br />

13. What 3-D shape has 4 faces, 4 vertices and 6 edges?<br />

14. 4 × 1 2 = 4 ÷<br />

15. 1.7 × 0.3 =<br />

The pie chart shows the number of events won<br />

by each team at Sports Day.<br />

16. There were 32 events in total.<br />

How many events did the yellow<br />

team win?<br />

Review sample<br />

17. What fraction of events did the<br />

green team win?<br />

Green<br />

Red<br />

Blue<br />

Yellow<br />

Week 28<br />

HARD RD<br />

EASY AVE<br />

THIS WAY<br />

THAT WAY<br />

18. How many events did the red team win?<br />

19. What fraction of events did the blue team win?<br />

20. Tick the larger. 20% of 100 50% of 50<br />

20. Did the red and blue teams win the same<br />

amount of events?<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 83


WEDNESDAY<br />

F<br />

THURSDAY<br />

Week 28<br />

1. Double 16.008.<br />

2. Write another name for a 3-D shape that is a tetrahedron.<br />

3. 9 1 3 – e = 8 2 3 , so e =<br />

4. – 6 + + 2 =<br />

5. What is the LCD of 3 4 and 2 10 ?<br />

6. Round 20.0756 to three decimal places.<br />

7. The place value of the 8 in 18,207 is<br />

8. y = °<br />

9. If you cycle 8 km in quarter of an hour,<br />

how far can you cycle in 2 hours?<br />

.<br />

km<br />

10. Tick the larger. 10% of 50 40% of 25<br />

11. 9 1 2 % = 0.<br />

12. The total cost of 3 pens is 48c. What is the average cost<br />

of one pen?<br />

13. 6 × 1 3 = 6 ÷<br />

14. 600 m = 3 5 = 0.<br />

15. 10% = 1 10 = 0.<br />

16. Which letter is opposite D?<br />

17. Round 0.087 to two decimal places.<br />

18. 13 cm = 0. m<br />

19. Plot the coordinates (1,1), (1,5), (5,5) and (5,1).<br />

Join the points with lines.<br />

What shape is it?<br />

20. Write the coordinates<br />

of B.<br />

c<br />

55° y<br />

A<br />

B<br />

C<br />

D<br />

E<br />

F<br />

D<br />

B<br />

1. 1.5 × 0.6 =<br />

2. What is the chance of choosing a face card from<br />

a deck of 52 playing cards?<br />

in<br />

3. A car is travelling at 60 km per hour.<br />

How long will it take to travel 5 km?<br />

minutes<br />

4. What is the area of a wall 7 m by 4 m? m 2<br />

5. 1 3 of an hour = minutes<br />

6. Halve 0.03.<br />

7. 5 5 20 – 15<br />

20 =<br />

8. 12 × 1 3 = 12 ÷<br />

9. The angles in a triangle are 95° and 50°.<br />

What is the 3rd angle? °<br />

10. The total cost of 5 stickers is 90c. What is the average<br />

cost of one sticker?<br />

11. How many degrees has a square? °<br />

12. 45 ÷ 5 = 3a, so a =<br />

13. Round 7.097 to one decimal place.<br />

14. Show a 90° rotation anticlockwise.<br />

15. The area of the house is 200 m 2 .<br />

What is the area of the garden?<br />

m 2<br />

16. The perimeter of the house is 60 m.<br />

What is the perimeter of the garden?<br />

17. 3 1 2 % = 0.<br />

m<br />

18. 6y – 10 = 20, so y =<br />

19. 60% = 3 5 = 0.<br />

20. Which letter is opposite E?<br />

A<br />

House<br />

10 m<br />

20 m<br />

Garden<br />

Review sample<br />

B<br />

B<br />

C<br />

D<br />

E<br />

F<br />

D<br />

E<br />

30 m<br />

F<br />

20 m<br />

84 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. A fast train took 3 hours to complete a 750-km<br />

express journey.<br />

The average speed was<br />

km/h.<br />

1. What pyramid has 5 faces?<br />

2. – 3 + + 7 =<br />

3. Write three capital letters<br />

which are symmetrical.<br />

14. Which letter is opposite D?<br />

A B C<br />

D<br />

C<br />

D<br />

E F<br />

E<br />

Week 28<br />

2. Luke is shorter than Liam but taller than Conor.<br />

However, Ian is taller than Liam. Order the boys'<br />

heights.<br />

Shortest<br />

Tuesday<br />

1. What fraction of an hour is 20 minutes?<br />

2. What fraction of an hour is 18 minutes?<br />

(in simplified form)<br />

Wednesday<br />

1. Which number is opposite 2?<br />

2. Which number is opposite 3?<br />

1. Angle a = º<br />

a<br />

110°<br />

Thursday<br />

2. Which type of triangle?<br />

Tallest<br />

1<br />

2 3 4<br />

5 6<br />

3<br />

4<br />

1<br />

2<br />

3<br />

, ,<br />

4. Tick. The roads are<br />

perpendicular.<br />

parallel.<br />

5. 1.7 × 0.2 =<br />

6. Round 0.067 to two decimal<br />

places.<br />

7. 25 m = 0.<br />

8. A car is travelling at 60 km<br />

per hour. How long will it<br />

take to travel 6 km?<br />

9. 2 3 of an hour =<br />

10. Find 0.8 of 35.<br />

11. Double 4.095.<br />

12.<br />

WHICH ROAD<br />

30 m<br />

WHAT ROAD<br />

minutes<br />

minutes<br />

15 m<br />

House<br />

Garden 20 m<br />

40 m<br />

The area of the house is<br />

300 m 2 . What is the area of<br />

the garden?<br />

m 2<br />

13. The perimeter of the<br />

house is 70 m. What is the<br />

perimeter of the garden?<br />

15. 8 1 2 % = 0.<br />

16. The angles in a triangle are<br />

80º and 45º. What is the<br />

3rd angle?<br />

17. 9,000, 18,000, 27,000,<br />

18. 14 cm = m<br />

19. What is the average of<br />

these three scores?<br />

30, 15 and 0<br />

20. How many edges has<br />

a cube?<br />

21. 40% discount on a<br />

€200.00 item. How much<br />

do you save?<br />

€<br />

°<br />

22. If there are £0.60 to €1.00,<br />

how many euro would you<br />

get for £60.00?<br />

Review sample<br />

35 °<br />

€<br />

23. 7y + 7 = 28,<br />

so y =<br />

24. If you cycle 7 km in quarter<br />

of an hour, how far can you<br />

cycle in 2 hours?<br />

25. 6 × 1 2 = 6 ÷<br />

km<br />

m<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 85


MONDAY<br />

TUESDAY<br />

Week 29<br />

1. This painting was bought for<br />

€300 and sold for a 5% profit.<br />

What was the selling price?<br />

€<br />

2. 2<br />

100 + 3 10 = 0.<br />

3. What do we call an angle that has 90°?<br />

4. The value of the 5 in 7.095.<br />

5. 1.0 – 0.075 =<br />

6. 1.5 × 0.4 =<br />

7. Simplify 30<br />

60.<br />

8. 9 × 1 3 = ÷ 3<br />

9. A car is travelling at 30 km per hour. How long will<br />

it take to travel 10 km?<br />

10. Write in ascending order.<br />

minutes<br />

0.99 3 2 3 5%<br />

11. Which lines are<br />

parallel?<br />

, ,<br />

perpendicular?<br />

12. The total cost of 5 pens is 95c. What is the average<br />

cost of one pen?<br />

13. What is the area of the<br />

light-pink shaded area?<br />

14. 3.2% = 0.<br />

m 2<br />

15. 875 m = 7 8 = 0.<br />

16. 10% off a €200.00 item = €<br />

17. 10 ÷ 0.5 =<br />

18. 2.5 m by 2 m? m 2<br />

19. What number is halfway between –4 and +6?<br />

c<br />

5 m<br />

7 m<br />

A<br />

B<br />

5 m<br />

7 m<br />

1. If there are US$0.90 to €1.00,<br />

how many euro for US$18.00? €<br />

2. – 10 + + 4 =<br />

3. 18 ÷ 0.5 =<br />

4. 650, 1,050, 1,450, 1,850,<br />

5. Double 27.06.<br />

6. 60 × a = 3,000, so a =<br />

7. An angle is >0º and


WEDNESDAY<br />

THURSDAY<br />

1. Write the coordinates of A.<br />

2. Write the coordinates of B.<br />

3. – 5 + + 9 =<br />

4. An angle is between 90° and 180°.<br />

1. 1.8 × 0.2 =<br />

2. This painting was bought<br />

for €300 and sold for a<br />

3% profit. What was the<br />

selling price?<br />

€<br />

65°<br />

Week 29<br />

5. 5<br />

20 > 1 2 True False<br />

6. A car costs €1,500 plus 20% VAT.<br />

What is the total price? €<br />

7. Double 1 4 .<br />

8. The total cost of 4 sweets is 84c.<br />

What is the average cost of one sweet?<br />

9. 9.3 – a = 8.9, so a =<br />

10. 6y + 2 = 20, so y =<br />

11. 700 m = 7 10 = 0.<br />

12. A jam factory lost 1 10 of its 1,000 jars due to breakage.<br />

How many were lost?<br />

13. Name this 3-D shape.<br />

14. What number is halfway between –2 and +8?<br />

15. Which digit in the decimal 8.75 is the hundredth?<br />

16. Write the fractions from smallest to largest.<br />

3<br />

4<br />

17. 5 ÷ 1 2 = 5 × 2 =<br />

1<br />

2<br />

1<br />

8<br />

, , ,<br />

18. The angles in a rhombus add up to °.<br />

19. 10 ÷ 0.5 = 10 ÷ 1 2 True False<br />

20. What is the number after 999,999?<br />

5<br />

8<br />

c<br />

3. y = °<br />

4. 40 × a = half of 400, so a =<br />

5. Simplify 50<br />

100 .<br />

6. Double 15 1 2 .<br />

7. What is the height of this cuboid?<br />

cm<br />

8. A car is travelling at 30 km per hour.<br />

How long will it take to travel 1 km?<br />

minutes<br />

9. The place value of the 4 in 425,000 is<br />

10. x = °<br />

11. 9y – 2 = 70, so y =<br />

12. 40% = 2 5 = 0.<br />

13. 2.8, 3.1, 3.4, 3.7,<br />

14. What is the next square number after 81?<br />

15. 70% of 50 < 75% of 48 True False<br />

16. The angles in a parallelogram add up to °.<br />

17. Write the fractions from smallest to largest.<br />

2<br />

3<br />

3<br />

6<br />

1<br />

3<br />

, , ,<br />

18. 7 mm = 0. m<br />

19. The chance of landing on a<br />

(a) prime number is %.<br />

(b) 5 is %.<br />

80° y<br />

20. The chance of landing on any number<br />

other than 5 is<br />

in , or %.<br />

.<br />

x 105°<br />

Review sample<br />

cm<br />

11<br />

8<br />

9<br />

7 3<br />

5<br />

2<br />

75<br />

0<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 87


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 29<br />

Monday<br />

1. How long is this sign? mm<br />

FIX<br />

THEM UP<br />

1. 11<br />

100 + 5 10 = 0.<br />

2. 8,000 ÷ 800 =<br />

3.<br />

13. What number is halfway<br />

between –5 and +7?<br />

14. 75 = y × 3,<br />

so y =<br />

2. It cost €1,200 plus 20% VAT to create the sign.<br />

The total cost was € .<br />

h2o<br />

2.5 litres<br />

1. How many cupfuls?<br />

2,100 mm<br />

Tuesday<br />

2. How many barrels can be filled?<br />

Wednesday<br />

1. 1 : 2, 2 : 4, 3 : 6, :<br />

2. 2 : 3, 4 : 6, 8 : 12, :<br />

Thursday<br />

1. Which spinner has the best chance<br />

of landing on a 7?<br />

2. Write the chance, as a percentage,<br />

of each spinner landing on a 4.<br />

5<br />

7<br />

250 ml<br />

A<br />

4<br />

9<br />

This painting was bought<br />

for €500 and sold for a<br />

20% profit. The selling<br />

price was ‹<br />

€ .<br />

4. 5 mm = 0. m<br />

5. What do we call an angle<br />

that is >90º but 4 20<br />

True<br />

False<br />

20. Round 20.4879 to three<br />

decimal places.<br />

21. What is the area of a table<br />

2.4 m by 0.5 m?<br />

m 2<br />

22. A phone costs €200<br />

plus 20% VAT. What is<br />

the total price?<br />

Review sample<br />

B<br />

2<br />

€<br />

23. What is the next square<br />

number after 49?<br />

24. What prism has 7 faces?<br />

A = %<br />

B = %<br />

C = %<br />

9<br />

8<br />

7<br />

6<br />

4<br />

C<br />

10 1<br />

2<br />

3<br />

4<br />

5<br />

12. There are 94 pupils<br />

altogether in 4th, 5th<br />

and <strong>6th</strong> <strong>Class</strong>. How many<br />

children do not bring a bike<br />

to school?<br />

25. A strawberry jam factory<br />

loses 1 10 of its jam to<br />

hungry workers. If they<br />

produce 1,000 per week,<br />

how much do they lose<br />

each week?<br />

88 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 0.4 ÷ 0.2 = 0.4<br />

0.2 × 10<br />

10 = 4 2 =<br />

2. The average of 3 numbers is 15. Two of the numbers are 17<br />

and 18. What is the 3rd number?<br />

1. Is N symmetrical? Yes No<br />

2. An octahedron has<br />

faces.<br />

edges.<br />

Week 30<br />

3. There was €500 in a bank account. After 1 year,<br />

2% interest was paid. The new balance was<br />

€ .<br />

4. How many faces has an octahedron?<br />

5. 500, 450, 400, , 300<br />

6. 8 ÷ 0.5 = 8 ÷ 1 2 = 8 × 2 =<br />

7. 1.1% = 0.<br />

8. The total cost of 6 pencils is €1.50.<br />

What is the average cost of one pencil?<br />

9. 800 m = 4 5 = 0.<br />

10. 25% off a €400 item is a saving of € .<br />

11. What number is halfway between –5 and +5?<br />

12. Write the numeral ten million, eight hundred.<br />

13. A television costs €400 plus 20% VAT. What is the<br />

total price? €<br />

14. Which digit in the decimal 8.125 is the hundredth?<br />

15. 9 × 3 = 54 ÷<br />

16. The pencil end is at the 25 cm mark.<br />

How long is the pencil?<br />

17. If a painter charged €3.00 per square metre<br />

to paint a 7 m × 2 m wall, it cost would € .<br />

18. a + 11.7 = 12.5, so a =<br />

19. The area of the house is 1,000 m 2 .<br />

What is the area of the garden?<br />

m 2<br />

c m<br />

10<br />

11 12 13<br />

cm<br />

c<br />

14 15 16<br />

3. y + 1,200 = 3,000, so y =<br />

4. 1.7 × 0.2 =<br />

5. – 5 + + 3 =<br />

6. Double 0.65.<br />

7. 9,000 – a = 5,500, so a =<br />

8. Draw as a 90° rotation<br />

clockwise.<br />

9. 1 4 + 1 8 =<br />

vertices.<br />

10. 1 2 < 1 5 True False<br />

11. A car is travelling at 60 km per hour.<br />

How long will it take to travel 10 km?<br />

12. 25% = 1 4 = 0.<br />

13. 3y + 4 = 28, so y =<br />

14. What is the next square number after 9?<br />

minutes<br />

15. What is the chance of selecting a girl's name from a hat<br />

if there are 15 girls’ names and 5 boys’ names?<br />

in<br />

16. 110 m = 0. km<br />

17. Plot the coordinates (0,1), (0,5)<br />

and (4,3) to form a triangle.<br />

18. Which digit in the decimal<br />

8.125 is the thousandth?<br />

Review sample<br />

50 m<br />

Garden<br />

40 m<br />

50 m<br />

19. What is the perimeter of a regular hexagon with<br />

30-mm sides?<br />

mm<br />

20. Which pairs of sides are parallel?<br />

and<br />

F<br />

A<br />

B<br />

20. The perimeter of the house is<br />

130 m. What is the perimeter<br />

of the garden?<br />

25 m<br />

House<br />

and<br />

and<br />

E<br />

D<br />

C<br />

m<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 89


WEDNESDAY<br />

THURSDAY<br />

Week 30<br />

1. 0.6 ÷ 0.2 = 0.6<br />

0.2 × 10<br />

10 = 6 2 =<br />

2. 4 cm = 0. m<br />

3. Double 0.95.<br />

4. Is either S or E symmetrical?<br />

5. y = °<br />

6. – 9 + + 6 =<br />

7. This art was bought for<br />

€400 and sold for a 40%<br />

profit. What was the<br />

selling price?<br />

€<br />

8. 25 =<br />

9. 3 5 + m = 1<br />

10. Name this 2-D shape.<br />

11. 0.2, 0.6, 1, 1.4,<br />

12. Circle the letter that has no line of symmetry.<br />

E B N Y<br />

13. 1 3 of y = 9, so y =<br />

14. 40% = 4 10 = 0.<br />

15. If there are US$0.90 to €1.00, how many euro<br />

for US$6.30? €<br />

16. A computer costs €800 plus 20% VAT.<br />

What is the total price?<br />

€<br />

17. 4.4% = 0.<br />

18. 100 – e = 60, so e =<br />

65° y<br />

19. Write the fractions from smallest to largest.<br />

1. What is the area of a floor 12 m by 11 m?<br />

m 2<br />

2. 0.9 ÷ 0.3 = 0.9<br />

0.3 × 10<br />

10 = 9 3 =<br />

3. An obtuse angle is between ° and °.<br />

4. A car is travelling at 30 km per hour.<br />

How long will it take to travel 5 km?<br />

minutes<br />

5. 1.35 kg = g<br />

6. The total cost of 7 pens is €1.54.<br />

What is the average cost of one pen?<br />

7. 80% = 4 5 = 0.<br />

8. 10 4 10 – 6 10 =<br />

9. Double 0.55.<br />

10. y = °<br />

11. 8 × 5 = ÷ 0.5 = 40<br />

12. What number is halfway between –8 and +4?<br />

13. 1,000 × 0.007 =<br />

14. How many of Box B will<br />

fit evenly into Box A?<br />

15. Round 10.056 to one decimal place.<br />

16. Which digit in the decimal 8.125 is the tenth?<br />

17. Draw a net of a triangular prism.<br />

y<br />

8 cm<br />

2 cm<br />

2 cm<br />

2 cm<br />

Review sample<br />

45°<br />

6 cm<br />

2 cm<br />

c<br />

6<br />

8<br />

1<br />

8<br />

5<br />

10<br />

1<br />

4<br />

18. Halve 12 1 2 .<br />

, , ,<br />

20. How many edges has a tetrahedron?<br />

19. Write the fractions from smallest to largest.<br />

1<br />

2<br />

2<br />

3<br />

2<br />

6<br />

7<br />

9<br />

, , ,<br />

20. How many vertices has a cube?<br />

90 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. An art dealer sold 10 prints at<br />

€85 each. This gave him a total<br />

profit of €170. What was the<br />

original price of a print?<br />

€<br />

2. The delivery cost of each print is €3.95. Deliveries<br />

over 8 items are charged an additional €1.50 per<br />

item. What is the total delivery cost?<br />

€<br />

Vegetables<br />

Flowers<br />

Paving<br />

Tuesday<br />

1. What fraction of the landscaping is the<br />

vegetable garden?<br />

2. What percentage is the flowers? %<br />

the paving? %<br />

Wednesday<br />

1. The tomatoes weighed 4.8 kg.<br />

Draw the needle to show the weight.<br />

2. What weight needs to be<br />

added to make 6 kg?<br />

kg<br />

Thursday<br />

1. 200 g of tomatoes cost 50c. What is the cost of 4.8 kg?<br />

€<br />

2. The shopkeeper found that 10% of the 4.8 kg<br />

was spoiled. What weight of tomatoes can the<br />

shopkeeper sell?<br />

1. 1.2 ÷ 0.2 = 1.2<br />

0.2 × 10<br />

10 = 12 2 =<br />

2. Double 0.85.<br />

3. – 3 + + 9 =<br />

4. The average of 4 numbers<br />

is 10. Three of the numbers<br />

are 9, 8 and 11. What is<br />

the 4th number?<br />

5. What number is halfway<br />

between –4 and +8?<br />

6. 8 × 3 = 3 × = 24<br />

7. How many faces has an<br />

octahedron?<br />

8. Which digit in the decimal<br />

5.268 is the thousandth?<br />

9. 1 3 of y = 9, so y =<br />

10. 2.2% = 0.<br />

11. Halve 8 1 2 .<br />

12.<br />

Which sides are parallel?<br />

13. 8 6 20 – 10<br />

14.<br />

D<br />

and<br />

20 =<br />

x<br />

x = °<br />

15. The total cost of 8 sweets is<br />

€2.24. What is the average<br />

cost of one sweet?<br />

c<br />

110º<br />

16. 9,700 m = km<br />

17. 140 mm = m<br />

18. What is the perimeter<br />

of a regular pentagon<br />

with 90-mm sides?<br />

mm<br />

19. Round 6.043 to one<br />

decimal place.<br />

20. A fridge costs €800 plus<br />

20% VAT. What is the total<br />

price?<br />

€<br />

21. The area of the house is<br />

400 m 2 . What is the area<br />

of the garden?<br />

m 2<br />

22. The perimeter of the<br />

house is 80 m. What is the<br />

perimeter of the garden?<br />

m<br />

23. 6.3, 6.9, 7.5,<br />

24. If there are £0.60<br />

to €1.00, how many<br />

euro would you get for<br />

£12.00?<br />

€<br />

House<br />

Review sample<br />

kg<br />

A<br />

C<br />

B<br />

20 m<br />

20 m<br />

60 m<br />

Garden<br />

25. A pack of cards (1–20) are<br />

shuffled. Tick the chance<br />

of randomly selecting a<br />

multiple of 3.<br />

20% 25%<br />

30% 35%<br />

40 m<br />

Week 30<br />

kg<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 91


MONDAY<br />

TUESDAY<br />

Week 31<br />

1. 0.8 ÷ 0.2 = 0.8<br />

0.2 × 10<br />

10 = 8 2 =<br />

2. 0.96, 0.97, 0.98, 0.99,<br />

3. What is the perimeter of a<br />

regular hexagon with 60-mm sides?<br />

4. – 7 + + 3 =<br />

5. The total cost of four pizzas is €24.<br />

What is the average cost of one pizza? €<br />

6. 1 2 < 1 10 True False<br />

7. 8 253 m = 8 253<br />

1,000 = 8.<br />

8. 7 – 0.04 =<br />

mm<br />

9. Which digit in the decimal 4.705 is the thousandth?<br />

10. 20% = 2 10 = 0.<br />

11. Is the formula: area = l + w correct?<br />

12. 5 2 =<br />

13. A cube has 2-cm by 2-cm faces.<br />

What is the cube’s surface area? cm 2<br />

14. Write three capital letters that are symmetrical.<br />

15. 6% = 0.<br />

, ,<br />

16. Round 3.06 to 1 decimal place.<br />

17. Rotate the triangle 450°<br />

anticlockwise. Draw its new<br />

position.<br />

18. H H T T Circle the chance of a head/tail<br />

or a tail/head.<br />

H T T H<br />

0 0.25<br />

1. 3 4 > 1 2 True False<br />

2. An octahedron has faces.<br />

3. 0.9 ÷ 0.3 =<br />

4. – 4 + + 9 =<br />

edges.<br />

vertices.<br />

5. 75,000 , 150,000 , 225,000 ,<br />

6. 5 450 m = 5 450<br />

1,000 = 5.<br />

7. An angle of 90° is a angle.<br />

8. What is the<br />

perimeter?<br />

mm<br />

9. 66 2 3 % = 2 3 = 0.<br />

10. This is a net of a<br />

11. 6 2 =<br />

12. Is the formula: area = l – w correct?<br />

.<br />

13. Will a hexagon and a square tessellate together?<br />

14. A cube has 3-cm by 3-cm faces.<br />

What is the cube’s surface area? cm 2<br />

15. Draw the axis of symmetry<br />

on the irregular pentagon.<br />

Review sample<br />

0.50 0.75 1.0<br />

0 1<br />

1 1 3<br />

4 2 4<br />

14 m<br />

25 mm<br />

30 mm<br />

16. Round 6.14 to 1 decimal place.<br />

100 mm<br />

70 mm<br />

17. Tick which would be the best to measure the height of<br />

your teacher.<br />

ruler trundle wheel metre stick<br />

10 mm<br />

15 mm<br />

3 m<br />

3 m<br />

3 m<br />

3 m<br />

9 m<br />

3 m<br />

18. 9% = 0.<br />

19. The value of the 9 in 952,075 is .<br />

8 m<br />

19. Area = m 2<br />

20. 4,000,000 – 400,000 =<br />

20. Perimeter = m<br />

92 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 5 ÷ 1 4 = 5 × = 20<br />

2. Write the coordinates<br />

of Point A.<br />

3. Write the coordinates of Point B.<br />

5<br />

B<br />

4<br />

3<br />

2<br />

A<br />

1<br />

0 1 2 3 4 5<br />

1. – 5 + + 3 =<br />

2. The total cost of 5 drinks is €6.25.<br />

What is the average cost of one drink? €<br />

3. Rotate this rectangle 90° clockwise and draw the<br />

new position.<br />

Week 31<br />

4. 1.07, 1.08, 1.09,<br />

5. What is the perimeter? cm<br />

6. 8 2 =<br />

7. 8 ÷ 0.1 = 8 0.8 80<br />

8. 37 1 2 % = 3 8 = 0.<br />

9. Round 4.3781 to 1 decimal place.<br />

10. A cube has 4-cm by 4-cm faces.<br />

What is the cube’s surface area? cm 2<br />

11. 110% = (decimal)<br />

12. This is a net of a<br />

13. 2 3 × 9 12 =<br />

14. Which digit in the decimal 4.705 is the tenth?<br />

.<br />

The graph shows the number of sunny days for<br />

the first six months of a year.<br />

15. Which month had<br />

13 sunny days?<br />

16. Which month had the<br />

most sunny days?<br />

17. Which month had the<br />

least sunny days?<br />

SUNNY DAYS<br />

15 cm<br />

20 cm<br />

MONTHS<br />

60 cm<br />

35 cm<br />

4. 1.2 ÷ 4 =<br />

5. 50, 5, 100, 10, 200, 400.<br />

6. 7 945 m = 7 945<br />

1,000 = 7.<br />

7. Which digit in the decimal 4.705 is the hundredth?<br />

8. 1 3 + 1 6 =<br />

9. 5.5 – 0.9 =<br />

10. What is the perimeter?<br />

mm<br />

11. 3 5 < 1 2 True False<br />

12. Match the roads.<br />

Perpendicular = Parallel =<br />

A<br />

HAPPY STREET<br />

HOLIDAY ROAD<br />

13. 12 ÷ 1 3 = 12 3<br />

14. 80% = 8 10 = 0.<br />

+ – × ÷<br />

15. Is the formula: area = l × w correct?<br />

16. 1 whole = %<br />

B<br />

150 mm<br />

CHOCOLATE WAY<br />

BEACH STREET<br />

Review sample<br />

80 mm<br />

110 mm<br />

70 mm<br />

18. How many more sunny days had March than January?<br />

19. Which month had fewer sunny days than you might expect?<br />

17. A cube has 5-cm by 5-cm faces. What is its surface area?<br />

cm 2<br />

18. Round 2.056 to 1 decimal place.<br />

19. This is a net of a .<br />

20. Which month had 23 sunny days?<br />

20. 7 × = 28<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 93


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 31<br />

1. What is the ratio of<br />

square-based<br />

pyramids to cubes?<br />

Monday<br />

2. What is the ratio of cube faces<br />

to pyramid faces?<br />

Tuesday<br />

1. What is the ratio of triangular<br />

prism edges to cube edges?<br />

2. If the ratio of edges of triangular prisms<br />

to cubes is 36:48, how many of each shape<br />

is there?<br />

Wednesday<br />

1. On a train trip to Dublin, one carriage had 45<br />

passengers to 30 seats. In another carriage, there<br />

were 55 passengers to 30 seats. What is the total<br />

simplified ratio of passengers to seats?<br />

2. On another trip, with the same 2 carriages, the<br />

simplified ratio of passengers to seats was 3:4. How<br />

many passengers were travelling?<br />

Thursday<br />

1. Niall spent 0.3 of his money in one shop and 5 10 in<br />

another shop. He had €12 left. How much money<br />

did he start with?<br />

1. 0.6 ÷ 0.2 =<br />

2. – 6 + + 9 =<br />

3. The total cost of 5 pizzas is<br />

€25.50. What is the average<br />

cost of one pizza?<br />

€<br />

4. 1 10 > 1 3<br />

True False<br />

5. 4 295 m = 4 295<br />

= 4.<br />

6. 2 5 × 10<br />

15 =<br />

1,000<br />

7. 0.1 = %<br />

8. 60,000 , 150,000 ,<br />

240,000 , 330,000 ,<br />

9. 1 3 + 1 3 =<br />

10. What is the perimeter of a<br />

regular pentagon with<br />

45-mm sides?<br />

mm<br />

11. This is a net of a<br />

12. What is the perimeter of<br />

this quadrilateral?<br />

20 mm<br />

.<br />

mm<br />

13. Area of a square = l × w<br />

True<br />

60 mm<br />

45 mm<br />

False<br />

15 mm<br />

14. A cube has 2-cm by 2-cm<br />

faces. What is the cube’s<br />

surface area?<br />

€<br />

cm 2<br />

2. Jenny's brothers are triplets. The four of them have<br />

an average age of 11. If Jenny is 14 years old, what 15. Complete the magic square.<br />

age are her brothers? 9<br />

5<br />

8 1<br />

16. An octahedron has<br />

faces.<br />

edges.<br />

vertices.<br />

17. What do we call an angle<br />

that is between 180º<br />

and 360º?<br />

18. 7 ÷ 1 3 = 7 × = 21<br />

19. Rotate this shape 450°<br />

anticlockwise and draw its<br />

new position.<br />

20. 4 2 =<br />

21.<br />

Write the coordinates<br />

of Point A.<br />

22. Write the coordinates<br />

of Point B.<br />

Review sample<br />

23. 30,000,000 – 300,000 =<br />

24. How many degrees has a<br />

circle?<br />

25. 1 8 + 1 4 =<br />

°<br />

94 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. 7,000,000 – 700,000 =<br />

2. 25 =<br />

2<br />

3. 1 ÷ 0.1 =<br />

4. 24 ÷ 1 3 = 24 3<br />

5. Write the numeral ten million, five hundred and twelve<br />

thousand and fifteen.<br />

6. 8% of €10.00 = €<br />

7. What is the place value of the 4 in 2.4 million?<br />

8. The total cost of 6 drinks is €7.20.<br />

What is the average cost of one drink? €<br />

9. How many degrees is the inside angle between<br />

the hands on a clock displaying 9 o’clock?<br />

10. Tick the composite numbers.<br />

°<br />

15 11 21 7 27<br />

11. 80 × 30 = 24 × y, so y =<br />

12. 4 5 + 2 4 5 =<br />

13. Draw to show a 270° rotation clockwise.<br />

14. Round 15.6073 to three decimal places.<br />

15. Write the formula to work out the area of a rectangle.<br />

area = ×<br />

+ – ÷ ×<br />

16. 1,000 × 0.001 =<br />

17. Tick which would be better to weigh a banana.<br />

kitchen scales<br />

bathroom scales<br />

18. What is the volume of the fish tank?<br />

1. Simplify 18<br />

24 .<br />

2. Write the numeral 3.65 million.<br />

3. How much are the wages if you pay time and<br />

a half for 4 hours (normal rate €10.00 per hour)?<br />

€<br />

4. 7 3 4 = (decimal) .<br />

5. A angle has exactly 90°.<br />

6. 6.05 km = m<br />

7. – 7 + + 3 =<br />

8. 9 45 m =9 45<br />

1,000 = 9.<br />

9. Tick which would be the best to measure the length<br />

of a street.<br />

ruler trundle wheel metre stick<br />

10. If it takes you 5 minutes to travel 6 km, how far will you<br />

travel in an hour?<br />

km<br />

11. Which digit in the decimal 0.527 is the tenth?<br />

12. Write 49 6 as a mixed number.<br />

13. Round 21.3689 to three decimal places.<br />

14. What is the radius of the circle?<br />

m<br />

15. What is the surface area of this cuboid?<br />

cm 2<br />

16. 5,000 ÷ (50 × 10 2 ) =<br />

Review sample<br />

1 cm<br />

18. Are 210 and 120 both prime numbers?<br />

17. What is the average of these dance scores?<br />

9.3 8.7 8.8 9.2<br />

18 m<br />

2 cm<br />

3 cm<br />

Week 32<br />

50 cm<br />

cm 3<br />

19. 3.3 > 3 1 5 True False<br />

40 cm 80 cm<br />

19. 0.7 < 8 10 True False<br />

20. If there are ¥116 to €1.00, how many<br />

euro would you get for ¥580? €<br />

20. What shape is the sign?<br />

House<br />

for sale<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 95


WEDNESDAY<br />

THURSDAY<br />

Week 32<br />

1. If there are ¥116 to €1.00, how<br />

many euro would you get for ¥232? €<br />

2. Write the numeral 8.2 million.<br />

3. Simplify 15<br />

18 .<br />

4. 7.092 = m<br />

5. Convert the speed of 1 km in 4 minutes to km/h.<br />

km/h<br />

6. 9 4 5 = (improper fraction)<br />

7. Increase 32 by 0.25.<br />

8. – 5 + + 9 =<br />

9. The total cost of 8 cakes is €4.40.<br />

What is the average cost of one cake?<br />

10. What is the size of Angle a?<br />

><br />

11. Change 5 3 8 to an improper fraction.<br />

12. What is the average of these dance scores?<br />

7.8 8.4 7.6 8.2<br />

13. Which digit in the decimal 5.026 is the thousandth?<br />

14. Halve 750.<br />

15. 4y = 280, so y =<br />

16. Write the formula to work out the area of a square.<br />

a = l<br />

a 120°<br />

75° 60°<br />

><br />

w<br />

17. What is the surface<br />

area of this cuboid?<br />

cm 2<br />

c<br />

1. Increase 40 by 0.75.<br />

2. – 15 + – 2 =<br />

3. 100 × 1.03 =<br />

4. 10 8 m = 10 8<br />

1,000 = 10.<br />

5. 14<br />

100 + 3 10 = 0.<br />

6. 62 1 2 % = 5 8 = 0.<br />

7. Write the numeral five million and five.<br />

8. Halve 8.5.<br />

9. 1,800 , 2,600 , 3,400 ,<br />

10. Draw a net of a cylinder.<br />

11. What is the simplified<br />

ratio of boys to girls if<br />

there are 8 boys<br />

and 24 girls?<br />

12. 6,030 mm = m<br />

13. 6.9 – 1.1 =<br />

14. y = °<br />

15. Round 12.5467 to three decimal places.<br />

16. Tick which would be better to weigh an apple.<br />

kitchen scales<br />

17. 85,000 , 100,000 , 115,000 ,<br />

18. The area of the house<br />

is 400 m 2 . What is the<br />

area of the garden?<br />

m 2<br />

19. The perimeter of the house<br />

is 80 m. What is the<br />

perimeter of the garden?<br />

m<br />

bathroom scales<br />

50 m<br />

y<br />

65° 75°<br />

Review sample<br />

5 c m<br />

3 c m<br />

2 c m<br />

30 m<br />

Garden<br />

20 m<br />

20 m<br />

House<br />

50 m<br />

18. Write in ascending order.<br />

5<br />

10 0.1 0.99 1%<br />

19. 100 × 0.003 =<br />

20. 10 × 0.03 =<br />

, , ,<br />

20. 1.5 ÷ 0.3 =<br />

96 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. What percentage is coloured yellow? %<br />

2. What percentage is coloured blue? %<br />

Tuesday<br />

1. What percentage is coloured red? %<br />

2. What percentage is coloured green? %<br />

1. Colour the beads.<br />

(a) 30% blue.<br />

(b) 40% green.<br />

2. (a) 10% red.<br />

(b) 20% yellow.<br />

Wednesday<br />

Thursday<br />

1. Write in the values of the missing coins.<br />

2. Write in the values of the missing coins.<br />

= €2.75<br />

= €2.75<br />

= €4.25<br />

1. The place value of the 4 in<br />

4,378,200 is<br />

2. Simplify 10<br />

12 .<br />

3. 10 2 – 3 2 =<br />

4. y = °<br />

5. Rotate 450° clockwise.<br />

6. What is the radius of<br />

the circle?<br />

cm<br />

7. 6,000 , 12,000 , 24,000 ,<br />

48,000 ,<br />

8. What is the average of these<br />

dance scores?<br />

7.8 8.4<br />

7.6 8.2<br />

9. 1.6 ÷ 0.4 =<br />

10. 3 1 3 + 3 2 3 =<br />

11.<br />

= €4.25<br />

2 m<br />

A<br />

The volume of the fish<br />

tank is m 3 .<br />

12. There are 3 fish per cubic<br />

metre. How many fish are in<br />

the tank?<br />

.<br />

y<br />

50º 75º<br />

13. Write the formula to<br />

work out the area of a<br />

rectangle.<br />

a = ×<br />

14. The total cost of 9 cakes is<br />

€3.15. What is the average<br />

cost of one cake?<br />

15. 9 2 =<br />

16. – 3 + + 7 =<br />

17. 6y = 360,<br />

so y =<br />

18. 2,075 mm = m<br />

19. Enlarge this line by 4:1.<br />

c<br />

mm<br />

20. If there are ¥116 to €1.00,<br />

how many euro would you<br />

get for ¥580?<br />

€<br />

21. What is the area of a<br />

rectangular field 100 m by<br />

15 m?<br />

m 2<br />

22. 5 25 m = 5 25<br />

1,000<br />

= 5.<br />

23. Which digit in the decimal<br />

2.347 is the hundredth?<br />

Review sample<br />

14 cm<br />

1.5 m 6 m<br />

14 cm<br />

24. What is your speed if you<br />

travelled 7 1 2 km every 30<br />

minutes?<br />

km/h<br />

25. A 3-D shape has six 2-cm<br />

by 5-cm faces. What is the<br />

shape’s surface area?<br />

Week 32<br />

cm 2<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 97


MONDAY<br />

TUESDAY<br />

Week 33<br />

1. Write the numeral 1.3 million.<br />

2. 2.1 ÷ 0.7 =<br />

3. If you enlarge this line by 4:1, the new line<br />

will equal<br />

cm.<br />

4. Is the formula: diameter = 2 × r correct?<br />

5. Tick which would be better to weigh a potato.<br />

kitchen scales<br />

6. 5 4 m = 5 4<br />

1,000 = 5.<br />

7. 1 2 × 1 4 =<br />

8. 9 2 =<br />

bathroom scales<br />

9. Liam had 5 new different-coloured pencils in his bag. The<br />

chance of randomly choosing a singular colour is<br />

100%. 0.2.<br />

5 in 1. 0.5.<br />

10. What is the average shoe size? 4, 10, 13<br />

11. 10 5 =<br />

12. Plot these coordinates<br />

for a triangle.<br />

(1,1), (5,1) and (5,5)<br />

13. 7.205 kg = g<br />

14. a + 2.3 = 3.1, so a =<br />

15. A cube has six 3-cm by 3-cm square faces.<br />

What is its surface area? cm 2<br />

16. The area of the house is 70 m 2 .<br />

What is the area of the garden?<br />

m 2<br />

17. The perimeter of the house is 34 m.<br />

What is the perimeter of the garden?<br />

m<br />

18. There are 0.6 euro to 1 Canadian dollar. How many euro<br />

would you exchange for 20 Canadian dollars?<br />

€<br />

19. 10 ÷ 0.1 =<br />

10 × 10<br />

1 10 ÷ 1 10 ÷ 1.0<br />

20. 8,000,000 – 80,000 =<br />

14 m<br />

Garden<br />

1. If there are ¥116 to €1.00, how many euro would you<br />

get for ¥1,160?<br />

€<br />

2. What is the floor area of a kitchen 10 m by 3.5 m?<br />

m 2<br />

3. An octahedron has<br />

faces. edges. vertices.<br />

4. Write the numeral 6.09 million.<br />

5. 63,000 , 71,000 , 79,000 ,<br />

6. Round 14.9721 to three decimal places.<br />

7. 2.5 ÷ 0.5 =<br />

8. 15, 21, 23, 19, 27<br />

What is the average of these ages?<br />

9. Rotate 540° clockwise.<br />

10. 1 2 × 1 2 =<br />

11. What is the chance of spinning a 2?<br />

Show as an 'x' on the chance line.<br />

0 0.25 0.50 0.75 1.0<br />

12. What is the chance of spinning a 1?<br />

Show as a • on the chance line.<br />

13. A shape has six 4-cm by 2-cm faces.<br />

What is the shape’s surface area? cm 2<br />

14. What is the surface<br />

area of this cube?<br />

cm 2<br />

15. 80,000 = 8 × 10y, so y =<br />

16. 6 1 4 – 3 4 =<br />

17. There are 6 euro to 10 Australian dollars. How many euro<br />

would you exchange for 50 Australian dollars?<br />

€<br />

18. 1.07 m = cm<br />

19. Order the fractions from smallest to largest.<br />

7<br />

8<br />

1<br />

4<br />

3<br />

4<br />

, , ,<br />

1<br />

2<br />

20. 1 km 750 m = m<br />

1 2<br />

Review sample<br />

30 m<br />

10 m<br />

7 m<br />

House<br />

3 cm<br />

3 cm<br />

98 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. Write the numeral 2.75 million.<br />

2. Round 21.5875 to three decimal places.<br />

3. What is the average of these shoe sizes? 4, 7, 5, 3, 6<br />

4. 3 4 , 1 1 4 , 1 3 4 , 2 1 4 , ,<br />

5. What is the length of this line if it is lengthened<br />

1. What is the perimeter of a square with 9-cm sides?<br />

cm<br />

2. 2.4 ÷ 4 =<br />

3. What is the<br />

shaded area? m 2<br />

4. Write the numeral 3.05 million.<br />

4 m<br />

9 m<br />

6 m<br />

3 m<br />

Week 33<br />

by 3:1?<br />

cm<br />

6. The time is 2.30 p.m. in Ireland and 9.30 a.m. in <strong>New</strong> York<br />

on the same day. What is the time difference?<br />

7. Is the formula: diameter = 4 × r correct?<br />

8. Tick which would be better to weigh a bag of sugar.<br />

9. 1 9 × 1 9 =<br />

kitchen scales<br />

10. Decrease €70 by 0.7. €<br />

bathroom scales<br />

11. Write the prime numbers from 10 to 20.<br />

, , and<br />

12. What should you earn if you received double time<br />

for 6 hours of work? (Normal rate €10.00 per hour.)<br />

€<br />

13. 4 2 + 5 2 =<br />

14. 8.005 m = mm<br />

15. 2 1 2 > 2.055 True False<br />

HEIGHT (m)<br />

Average Height of Children Aged 8–12<br />

16. Which age has an average height of 1.5 m?<br />

17. Which age has the tallest children?<br />

5. 3 55 m = 3 55<br />

1,000 = 3.<br />

6. 3 4 × 1 2 =<br />

7. What is the average? 2, 4, 5, 6, 8<br />

8. 15,000 , 95,000 , 175,000 ,<br />

9. 1 2 + 1 3 =<br />

10. There are 7 euro to 1,000 Japanese yen. How many euro<br />

would you exchange for 5,000 Japanese yen?<br />

€<br />

11. 3.75 + 0.25 =<br />

12. There are 4 roses for every 3 daffodils in a bouquet of 35<br />

flowers. How many daffodils are in the bouquet?<br />

13. 9 =<br />

14. What do you call an angle that is between<br />

180° and 360°?<br />

15. 1 5 of an hour = minutes<br />

16. Is the formula: diameter = 3 × r correct?<br />

17. 7 1 4 < 7.3 True False<br />

Review sample<br />

AGE<br />

18. 2 3 of an hour = minutes<br />

19. y × 3 5 = 3 5 , so y =<br />

20. <strong>6th</strong> <strong>Class</strong> Favourite Cakes<br />

8 children liked chocolate, which is 1 3 of the pie chart.<br />

(a) How many liked lemon?<br />

18. How much taller are 11-year-olds than 9-year-olds?<br />

m<br />

19. Which age has an average height of 1.44 m?<br />

(b) How many liked carrot?<br />

Fruit<br />

Carrot<br />

Lemon<br />

Chocolate<br />

20. How much taller are 9-year-olds than 8-year-olds?<br />

cm<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 99


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 33<br />

Monday<br />

1. Which set of money is the amount given to each of<br />

the 10 pupils who won an equal share of €100?<br />

× 8 × 8 × 6 × 4 × 8<br />

2. There were 12 cars and 5 motorbikes in a car park.<br />

Each car had 1 spare tyre in the boot. In total, how<br />

many tyres were in the car park?<br />

Tuesday<br />

1. 8 pupils equally divided €20.<br />

(a) How much did each get? €<br />

(b) What is the least number of coins each received?<br />

€ × and c ×<br />

2. A bank orders 2 euro coins and 1 euro coins in the<br />

ratio of 2:3. The last order was for €3,000 in 1 euro<br />

coins. What was the value of the 2 euro coins?<br />

€<br />

Wednesday<br />

1. A bank orders €20 notes and €5 notes in the ratio<br />

of 1:5. The last order was for €10,000 in €20 notes.<br />

What was the number of €20 notes?<br />

2. What was the value of the €5 notes? €<br />

Thursday<br />

1. This container has a volume of 60 m 3 .<br />

What is its height?<br />

m<br />

2. This container has a volume of 120 m 3 .<br />

The height is m.<br />

3 m<br />

:<br />

× 8<br />

× 8<br />

1. 3 5 of an hour =<br />

2. 2.8 ÷ 0.7 =<br />

minutes<br />

3. Write the numeral<br />

3.2 million.<br />

4. Is the formula: diameter of<br />

a circle = d × r correct?<br />

5. What is the surface area of<br />

the cube?<br />

cm 2<br />

6. 7 25 m = 7 25<br />

= 7.<br />

7. 1 4 × 1 2 =<br />

1,000<br />

8. 2 km 310 m = km<br />

9. Plot these coordinates for a<br />

triangle. (1,1), (0,4) and (5,1)<br />

10. Write in ascending order.<br />

3%, 0.3, 8 1 2 , 51%<br />

, ,<br />

,<br />

11. Which spinner has a 0.5<br />

chance of landing on 2?<br />

A B C<br />

12. Write the numeral twenty<br />

point three six.<br />

13. 2.03 m = cm<br />

14. There are 0.6 euro to 1<br />

Canadian dollar. How many<br />

euro would you exchange<br />

for 10 Canadian dollars?<br />

€<br />

15. 8.75 + 0.25 =<br />

16. What is the probability, as a<br />

fraction, of spinning a<br />

3?<br />

2?<br />

1?<br />

17. Tick which would be the<br />

best to measure the length<br />

of a computer screen.<br />

ruler<br />

trundle wheel<br />

metre stick<br />

18. 3 2 + 5 2 =<br />

19.<br />

Enlarge this line by 3:1.<br />

20. 36 =<br />

21.<br />

cm<br />

Draw to show a rotation of<br />

540° clockwise.<br />

22. Round 16.5093 to<br />

3 decimal places.<br />

Review sample<br />

4 m<br />

8 m<br />

5 m<br />

2<br />

1 1<br />

4 cm<br />

2 2 2<br />

1<br />

4 cm<br />

2 1<br />

1<br />

23. Increase €200 by 0.5.<br />

€<br />

24. Order the fractions from<br />

smallest to largest.<br />

1<br />

2<br />

8<br />

9<br />

25. – 3 + + 6 =<br />

1<br />

3<br />

1<br />

2<br />

, ,<br />

,<br />

3<br />

4<br />

6<br />

100 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1. Simplify 10<br />

15 .<br />

2. 3.5 ÷ 0.5 =<br />

3. Complete the formula: diameter = ×<br />

4. 8 300 m = 8 300<br />

1,000 = 8.<br />

5. 3 5 + 4 5 =<br />

6. 1 2 × 3 4 =<br />

7. Write the numeral 2.08 million.<br />

8. 1,000 , 3,000 , 9,000 , 27,000 ,<br />

9. The chance of a baby being born a girl is<br />

0%. 50%. 100%.<br />

10. What is the radius of a circle which has<br />

a 50-cm diameter?<br />

11. a ÷ 3 = 5, so a =<br />

12. 8 2 =<br />

13. Name this shape.<br />

cm<br />

14. A cube has six 2-cm by 2-cm faces.<br />

What is the surface area?<br />

cm 2<br />

15. What is the place value of the<br />

7 in 3.067?<br />

16. There are 6 euro to 10 Australian dollars.<br />

How many euro would you exchange for<br />

20 Australian dollars?<br />

€<br />

17. 2 3 of = 14<br />

18. 1 8 km = m<br />

19. 59 × 9 =<br />

20. What is the average of the dance scores?<br />

4.8 4.3 4.2 4.7<br />

1. 3.6 ÷ 0.6 =<br />

2. What is the volume of a trench 3 m by 2 m by 1 m?<br />

m 3<br />

3. Tick which would be better to weigh cooking ingredients.<br />

kitchen scales<br />

4. Simplify 2 3 9 .<br />

bathroom scales<br />

5. What is the perimeter? mm<br />

6. Write the numeral 2.8 million.<br />

7. 1 4 × 1 2 =<br />

8. 11,000,000 – 1,500,000 =<br />

9. There are 7 euro to 1,000 yen. How many<br />

euro would you exchange for 2,000 yen?<br />

€<br />

10. Reduce the line by 3:1.<br />

mm<br />

11. What is the place value of the 3 in 1.073?<br />

12. 11 2 =<br />

13. Tick which would be the best to measure the capacity<br />

of a bucket.<br />

5,000-m container<br />

1,000-m jug<br />

100-m beaker<br />

14. y = °<br />

15. 75 × 45 = 3,370 3,375<br />

3,371 3,372<br />

16. 1 2 = 4 = 6 = 8<br />

17. 100 × 1.01 =<br />

18. Order these from smallest to largest.<br />

0.3<br />

1<br />

4<br />

2<br />

3<br />

, , , ,<br />

19. 1.96, 1.97, 1.98, 1.99,<br />

80°<br />

55° y<br />

Review sample<br />

40 mm<br />

12 mm<br />

2<br />

4 0<br />

38 mm<br />

50 mm<br />

Week 34<br />

20. 49 × 9 =<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 101


WEDNESDAY<br />

THURSDAY<br />

Week 34<br />

1. Write the numeral 6.057 million.<br />

2. 4.5 ÷ 0.9 =<br />

3. Simplify 3 12<br />

15 .<br />

4. Complete the formula: diameter = ×<br />

5. What is the perimeter of this<br />

quadrilateral?<br />

6. 1 2 × 1 5 =<br />

7. 39 × 9 =<br />

8. 1 5 + 1 2 =<br />

mm<br />

9. Simplify 36:6 = :<br />

10.<br />

Reduce this line by 4:1.<br />

11. 10,000,000 × 10 =<br />

12. Order these from smallest to largest.<br />

0.88<br />

3<br />

4<br />

4<br />

5 1 1 5<br />

mm<br />

, , , , ,<br />

13. 39 × 25 × 40 =<br />

14. The angles in a quadrilateral add up to °.<br />

15. 0.097, 0.098, 0.099,<br />

16. Convert the speed of 1 km in 12 minutes to km/h.<br />

17. 2 3 + 2 3 + 2 3 =<br />

km/h<br />

18. Write two capital letters that have a horizontal line<br />

of symmetry.<br />

and<br />

19. What is the area of the garden?<br />

m 2<br />

20. The perimeter of the house<br />

is 80 m. What is the perimeter<br />

of the garden?<br />

m<br />

28 mm<br />

60 m<br />

1<br />

3<br />

42 mm<br />

25 mm<br />

40 m<br />

20 m<br />

40 mm<br />

Garden<br />

House<br />

20 m<br />

1. 8.1 ÷ 0.9 =<br />

2. 1 6 + 1 2 =<br />

3. Reduce this line by 5:1. mm<br />

4.<br />

The time difference is<br />

and<br />

minutes.<br />

5. Write the numeral 10.65 million.<br />

6. Simplify 20<br />

60 .<br />

7. 1,100,000 – 300,000 =<br />

8. 4 25 m = 4 25<br />

1,000 = 4.<br />

9. 2 5 × 1 2 =<br />

10. Show as a 90° rotation clockwise.<br />

11. 1 5 of an hour = minutes<br />

12. 1 4 + 4<br />

13. 10 4 =<br />

14. 4 =<br />

10 A<strong>PR</strong>IL 11 A<strong>PR</strong>IL<br />

10:45 02:05<br />

100 =<br />

15. 6 m = mm<br />

16. 3.85, 3.9, 3.95, , 4.05,<br />

17. Draw a dot at (5,1)<br />

and label it 'A'.<br />

18. Draw a dot at (1,5)<br />

and label it 'B'.<br />

hours<br />

Review sample<br />

19. There are 0.6 euro to 1 Canadian dollar. How many euro<br />

would you exchange for 5 Canadian dollars?<br />

€<br />

20. Round 18.3678 to three decimal places.<br />

102 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

1. The surface area of this cube is 24 cm 2 .<br />

The volume is<br />

cm 3 .<br />

2. The surface area of this cube is 150 cm 2 .<br />

The volume is cm 3 .<br />

Tuesday<br />

<strong>6th</strong> <strong>Class</strong> Library Borrowings<br />

Number of Books<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

1 2 3 4 5 6<br />

School Weeks<br />

1. What possibly occurred in Week 4?<br />

2. In Week 6, there were 40 books borrowed.<br />

Plot this on the line graph. What possible reason/s<br />

could there be for the decline of books borrowed<br />

from the previous week?<br />

Wednesday<br />

1. A juice drink stall used 30% of its 40 bags of<br />

oranges on Monday. How many bags were left?<br />

2. Each bag of oranges averages 800 m of juice.<br />

How much orange juice was made on Monday?<br />

m<br />

1. Write the numeral<br />

4.73 million.<br />

2. 4.5 ÷ 0.5 =<br />

3. y × 200 = 1,000,<br />

so y =<br />

4. Reduce this line by 3:1.<br />

mm<br />

5. 100 × 1.001 =<br />

6. Complete the formula:<br />

diameter = ×<br />

7. 9.85, 9.9, 9.95,<br />

8. 5 2 m = 5 2<br />

= 5.<br />

9. 1 5 × 1 2 =<br />

1,000<br />

10. What is the place value of<br />

the 4 in 2.624?<br />

11. The chance that it will rain<br />

today is<br />

12. 11 2 =<br />

0%. 50%.<br />

100%.<br />

13. A shape has eight 3-cm<br />

by 4-cm faces. What is the<br />

shape’s surface area?<br />

cm 2<br />

15. There are 6 euro to 10<br />

Australian dollars. How<br />

many euro would you<br />

exchange for 30 Australian<br />

dollars?<br />

€<br />

16. What is the average of 60,<br />

90 and 30?<br />

17. 3 4 + 3 4 + 3 4 =<br />

18. 1,000,000 × 10 =<br />

19. Show as a 270º rotation<br />

clockwise.<br />

20. 1 3 = 9 = 12<br />

21. Round 21.5986 to<br />

3 decimal places.<br />

22. 200 seconds =<br />

min<br />

sec<br />

23. The angles in a trapezium<br />

add up to<br />

°.<br />

24. 7 10 + 7 10 = (decimal)<br />

Review sample<br />

25. The surface area of this<br />

cube is 96 cm 2 .<br />

The dimensions of each<br />

square face are<br />

Week 34<br />

Thursday<br />

1. Tomatoes cost 80c per 200 g. What is the cost of<br />

14. y = °<br />

y<br />

cm by<br />

cm.<br />

5 kg tomatoes? €<br />

45º 60º<br />

2. The tomatoes were reduced in price by 50%.<br />

What is the cost of 4 1 5 kg?<br />

€<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 103


MONDAY<br />

TUESDAY<br />

Week 35<br />

A 60 °<br />

B 88 °<br />

60 ° a<br />

b 47 °<br />

c<br />

C<br />

90 ° 45 °<br />

1. Find the missing angles.<br />

Angle a = ° Angle b = °<br />

1. 1 3 > 0.1 True False<br />

2. 9,000,000 ÷ 10 =<br />

3. Change 8 3 8 to an improper fraction.<br />

4. 1 2 + 1 3 =<br />

5. A stack of 20c coins = €7.80. How many coins?<br />

Angle c = °<br />

2. Write 2 3 4 as an improper fraction.<br />

3. Enlarge this line by 3:1. mm<br />

4. 40 hundred thousands =<br />

5. 3.3 ÷ 0.3 =<br />

6. Complete the formula: area of a square = ×<br />

7. 1 2 × 2 5 =<br />

8. 2 3 of = 28<br />

9. y = °<br />

10. A cube has six 5-cm by 5-cm faces.<br />

What is surface area of this cube? cm 2<br />

11. 1 2 + 1 10 =<br />

12. 80 + 80,000 + 900 =<br />

13. Name this shape.<br />

14. 1 2 > 0.358 True False<br />

15. 6% = 0.<br />

16. 4,000 , 400 , 40 , 4 ,<br />

17. How many of Box B will fit<br />

evenly into Box A?<br />

18. If there are ¥116 to €1.00, how many euro would<br />

you get for ¥348? €<br />

19. Write the coordinates of<br />

A .<br />

B .<br />

C .<br />

y 50°<br />

A<br />

6 mm<br />

B<br />

5 cm<br />

5 cm<br />

4 mm<br />

8 mm<br />

C<br />

2 mm<br />

2 mm<br />

2 mm<br />

6. 8.03 m = mm<br />

7. 30% of €300.00 = €<br />

8. Reduce this line by 2:1.<br />

mm<br />

9. If you are paid time and a half (normal rate is €8.00 per<br />

hour), what do you earn after 6 hours work?<br />

€<br />

10. How many faces has an octahedron?<br />

11. 9% = 0.<br />

12. Draw to show a 180° rotation clockwise.<br />

13. 900 , 90 , 9 , 0.9 ,<br />

14. 7 7 m = 7 7<br />

1,000 = 7.<br />

15. y = °<br />

The graph shows the number of rainy days for the<br />

first six months of a year.<br />

16. Which month had 15 rainy days?<br />

Review sample<br />

17. Which month had<br />

the most rainy days?<br />

18. Which month had the<br />

least rainy days?<br />

19. How many more rainy days had January than June?<br />

y<br />

RAINY DAYS<br />

MONTHS<br />

20. What type of triangle in Question 19?<br />

20. Which month had 20 rainy days?<br />

104 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 5 1 4 – 3 4 =<br />

2. 1 5 < 0.1 True False<br />

3. 2.7 ÷ 0.3 =<br />

4. Complete the formula: diameter = ×<br />

5. Enlarge the line by 4:1. mm<br />

6. 1 5 × 1 2 =<br />

7. 100 × 0.01 =<br />

8. y = °<br />

9. Parts of South America are 4 hours behind GMT. If it is<br />

3 a.m. in London, what time is it in South America?<br />

10. What is the shaded area? m 2<br />

11. 2.43 + 6.54 =<br />

12. Draw the rectangle after a 540° rotation anticlockwise.<br />

13. 1.25 million + 0.75 million =<br />

14. 3<br />

10 = %<br />

15. 4.04 kg = g<br />

16. 8.4, 8.6, 8.8, , 9.2<br />

17. What is the missing outcome for a two coin toss?<br />

H<br />

H<br />

5 m<br />

5 m<br />

18. 40% off a €100.00 item saves you € .<br />

19. Round 3.455 to 1 decimal place.<br />

20. If you are cycling at 30 km/h, how far can you cycle in<br />

10 minutes?<br />

km<br />

15 m<br />

5 m<br />

H T T<br />

T<br />

Review<br />

T<br />

5 m<br />

8 m<br />

y<br />

50° 50°<br />

1. 125,000 , 250,000 , 375,000 ,<br />

2. What is the perimeter?<br />

mm<br />

3. Tick which container would be the best to measure the<br />

capacity of a large bottle of lemonade.<br />

5,000-m container<br />

1,000-m jug<br />

100-m beaker<br />

4. 0.099 > 1 10 True False<br />

5. Double 75.5.<br />

6. 2.4 ÷ 0.6 =<br />

99<br />

7. 9 99 m = 9 1,000 = 9.<br />

8. 1 2 × 4 5 =<br />

9. 89 × 9 =<br />

10. Reduce this line<br />

by 6:1.<br />

mm<br />

11. If your normal rate is €10.00 per hour, how much do<br />

you earn after 6 hours at time and a half?<br />

€<br />

12. There are 7 euro to 1,000 Japanese yen. How many<br />

euro would you exchange for 3,000 Japanese yen?<br />

€<br />

13. 3.5 – 0.8 =<br />

14. Double the shape.<br />

15. 1 5 + 4 5 + 3 5 =<br />

16. 25 =<br />

17. 7.05 = m<br />

18. 3 ÷ 1 4 = 3 × = 12<br />

19. Round 6.372 to 1 decimal place.<br />

20. If you are cycling at 30 km/h, how far will you cycle<br />

in 20 minutes?<br />

km<br />

28 mm<br />

45 mm<br />

sample<br />

H<br />

28 mm<br />

Week 35<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 105


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Week 35<br />

Monday<br />

A B<br />

3 4 5 2 C<br />

8 2 3 9<br />

7<br />

1 10<br />

2 9<br />

6<br />

5 4<br />

8<br />

1. Which spinner has the best chance of landing on<br />

a 2?<br />

1. 1 2 + 1 3 =<br />

2. 4 5 × 1 2 =<br />

3. 2.36 kg = g<br />

4. 12.2, 12.4, 12.6, 12.8,<br />

5. 4 10 = %<br />

14. 25% of 160 =<br />

15. 400 + 90,000 + 50 =<br />

16. 89 × 8 =<br />

17. Double this shape.<br />

2. Write the chance, as a percentage, of each spinner<br />

landing on a number greater than 5.<br />

A = %<br />

B = %<br />

C = %<br />

Tuesday<br />

<strong>6th</strong> <strong>Class</strong> Happy Moments in School<br />

1. What percentage voted for friendship?<br />

%<br />

2. What percentage voted<br />

for music?<br />

%<br />

Wednesday<br />

At a school camp, 40 boys played hide and seek in<br />

a forest. When the game was over, 36 children had<br />

been found.<br />

1. What percentage was found? %<br />

2. What fraction was not found?<br />

Thursday<br />

1. The 2 rectangles have the same area.<br />

What is the length of Side a?<br />

Music<br />

No<br />

Homework<br />

Friendship<br />

Longer<br />

Lunch<br />

cm<br />

6. Reduce this line by 3:1.<br />

mm<br />

7. The 4 outcomes of a<br />

two-coin toss are:<br />

H H T T<br />

H T<br />

8. 1 2 < 0.4999<br />

True<br />

9. 6.4 ÷ 0.8 =<br />

T<br />

False<br />

H<br />

10. Parts of South America are<br />

4 hours behind GMT. If it is<br />

4.30 a.m. in London, what<br />

time is it in South America?<br />

11. A stack of 20c coins<br />

= €9.80. How many coins?<br />

12. The chance of rolling an<br />

even number on a dice is<br />

13.<br />

0%. 50%.<br />

100%.<br />

18. 2 349 m = 2 349<br />

= 2.<br />

1,000<br />

19. Show as a rotation of 450°<br />

clockwise.<br />

20. 9 2 =<br />

21. Round 5.232 to 1<br />

decimal point.<br />

22. If you can cycle at a speed<br />

of 24km/h, how far can<br />

you cycle in 10 minutes?<br />

km<br />

23. A worker's pay is €7.00<br />

per hour. What is earnt<br />

for 3 hours at time and<br />

a half?<br />

€<br />

24. 4 ÷ 1 3 =<br />

Review sample<br />

5 m<br />

15 m<br />

5 m<br />

4 m<br />

4 m<br />

6 m<br />

25. 2.3 – 0.7 =<br />

14 cm<br />

8 cm<br />

7 cm<br />

a<br />

The shaded area is<br />

2. The areas of the 2 rectangles are equal.<br />

m 2 .<br />

What is the width of Side b?<br />

cm<br />

20 cm<br />

b 28 cm<br />

7 cm<br />

106 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


MONDAY<br />

TUESDAY<br />

1.<br />

What is the time difference?<br />

2. 2.3 – 0.8 =<br />

3. 2.5 ÷ 0.5 =<br />

4. 35, 75, 115,<br />

5. 80 + 700 + 2,000 =<br />

6. 904 m = 0. km<br />

7. 4 5 × 1 2 =<br />

8. The chance you will watch TV today.<br />

hours<br />

0% 50% 100%<br />

9. A 3-D shape has ten 2-cm by 2-cm faces.<br />

What is the shape's surface area? cm 2<br />

10. Write in ascending order.<br />

0.05 0.3 2%<br />

, ,<br />

11. Round 0.375 to 1 decimal place.<br />

12. Write three capital letters that have more than<br />

one line of symmetry.<br />

, ,<br />

13. A stack of 50c coins = €14.50. How many coins?<br />

14. There are 0.6 euro to 1 Canadian dollar. How many euro<br />

would you exchange for 3 Canadian dollars?<br />

€<br />

15. 36 =<br />

10 MARCH 11 MARCH<br />

00:45 00:45<br />

16. Which would you use to measure the length of a pencil?<br />

mm cm m km<br />

17. Draw a net of a triangular prism.<br />

1. 7.25, 7.19, 7.13, 7.07,<br />

2. 2 1 2 , 2 3 4 , 3 1 4 , 4,<br />

3. 4.1 + 0.9 =<br />

4. 3.6 ÷ 0.4 =<br />

5. 185 cm = m<br />

6. Complete the formula: area of a rectangle = ×<br />

7. 1 2 × 6 10 =<br />

8. 100 × 0.05 =<br />

9. What is the simplified ratio of teachers to pupils<br />

if there are 30 teachers and 150 pupils?<br />

10. 6 35 m = 6 35<br />

1,000 = 6.<br />

11. Round 0.831 to 1 decimal place.<br />

12. Which would you use to measure the weight of an adult?<br />

g kg t<br />

13. Draw the lines of symmetry on the<br />

equilateral triangle.<br />

14. Write in descending order.<br />

0.11 0.3 20%<br />

15. 400,000 × 10 =<br />

, ,<br />

16. What is the perimeter of a regular pentagon with<br />

6-cm sides?<br />

cm<br />

17. Write the numeral seven hundred and two thousand<br />

and forty-five.<br />

Review sample<br />

18. Write from smallest to largest.<br />

0.75 0.2 0.25 0.8<br />

, , ,<br />

Week 36<br />

19. Simplify 20<br />

30 .<br />

18. 10 × = 8 × 5<br />

19. The angles in a triangle add up to °.<br />

20. What is the simplified ratio of boys to girls if there are<br />

30 boys and 40 girls?<br />

20. The painting was purchased for €150.<br />

It was sold for a profit of 20%.<br />

What was the selling price?<br />

€<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 107


WEDNESDAY<br />

THURSDAY<br />

Week 36<br />

1. 300 × e = 2,700, so e =<br />

2. 9, 9 1 3 , 10, 11,<br />

3. 2.1 ÷ 0.3 =<br />

4. 1 4 × 8 10 =<br />

10 MARCH 11 MARCH<br />

5.<br />

02:30 01:30<br />

What is the time difference?<br />

6. 8.3 + 0.7 =<br />

7. 3 4 of an hour = minutes<br />

8. A 3-D shape has ten 1-cm by 3-cm faces.<br />

hours<br />

What is the shape’s surface area? cm 2<br />

9. 4.85 million + 1.15 million = million<br />

10. There are 6 euro to 10 Australian dollars. How many<br />

euro would you exchange for 5 Australian dollars?<br />

€<br />

11. 8.96 – 5.05 =<br />

12. Circle the chance (as a decimal) of landing on 2.<br />

0 0.25<br />

13. Circle the chance (as a fraction) of landing on 1.<br />

14. The area of the house is<br />

1,200 m 2 . What is the area<br />

of the garden?<br />

m 2<br />

0.50 0.75 1.0<br />

0 1<br />

1 1 3<br />

4 2 4<br />

60 m<br />

20 m<br />

15. The perimeter of the house is 140 m.<br />

What is the perimeter of the garden?<br />

30 m<br />

16. Which would you use to measure the weight<br />

of a ship? g kg t<br />

17. What is the place value of the 5 in 48,250?<br />

18. Will a parallelogram and an isosceles triangle<br />

2<br />

House<br />

40 m<br />

Garden<br />

80 m<br />

3<br />

m<br />

20 m<br />

30 m<br />

60 m<br />

1. 3 1 5 , 3 2 5 , 3 4 5 , 4 2 5 ,<br />

2.<br />

3. Draw a dot at coordinate<br />

(0,4) and label it ‘A’.<br />

4. Draw a dot at coordinate<br />

(2,5) and label it ‘B’.<br />

5. 4.9 ÷ 0.7 =<br />

6. Complete the formula: diameter = ×<br />

7. 609 m = 0. km<br />

8. 4 5 × 1 4 =<br />

9. 9 2 m = 9 2<br />

1,000 = 9.<br />

10. There are 7 euro to 1,000 Japanese yen. How many euro<br />

would you exchange for 4,000 yen?<br />

€<br />

11. 10,000 × 0.001 =<br />

12. 5.293 + 2.406 =<br />

13. 3 4 × 12<br />

Coin<br />

10 =<br />

14. Simplify 3 16<br />

15. – 2 + – 3 =<br />

20 .<br />

16. If you are cycling at 18 km/h, how far can you cycle in<br />

10 minutes?<br />

km<br />

Number<br />

of Coins<br />

20c 14 €<br />

Favourite <strong>6th</strong> <strong>Class</strong> Colours<br />

€ Value<br />

50c €8.50<br />

Review sample<br />

Black<br />

Blue<br />

Red<br />

Purple<br />

White<br />

17. 32 pupils were surveyed.<br />

How many liked black?<br />

18. What percentage of<br />

the class liked black?<br />

tessellate together?<br />

%<br />

19. If you are cycling at 32 km/h, how far will you travel<br />

in quarter of an hour? km<br />

19. What fraction of the class liked purple?<br />

20. How many liked blue?<br />

20. Simplify 15<br />

50 .<br />

108 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


<strong>PR</strong>OBLEM-SOLVING<br />

FRIDAY REVIEW<br />

Monday<br />

48 mm<br />

1. The time is 9.20 a.m. in<br />

Ireland and 10.20 a.m. in<br />

France. What is the time<br />

difference?<br />

16. The painting was bought<br />

for €200. It was later sold<br />

for a profit of 15%, or<br />

€ .<br />

Week 36<br />

1. The length of the car is 4,800 mm.<br />

What is the scale of the drawing?<br />

1 mm = mm<br />

2. A tennis racket costs €60. A club had 20 new<br />

members. How much change from €1,500 would<br />

there be if new rackets were purchased for the<br />

new members?<br />

€<br />

Tuesday<br />

0 0.25 0.50 0.75 1.0<br />

1. Circle the chance of landing on 2.<br />

2. Place a dot on the chance of landing on 5.<br />

Wednesday<br />

1. The surface area of this cube is<br />

54 cm 2 . The volume is<br />

cm 3 .<br />

2. The surface area<br />

of this cube is cm 2 .<br />

The volume is cm 3 .<br />

Thursday<br />

1. Work out the missing angles.<br />

a = ° b = ° c = °<br />

2. Colour the congruent triangles<br />

within the pentagon.<br />

(Hint: congruent means having<br />

exactly the same shape and size)<br />

5<br />

36°<br />

108°<br />

1<br />

8 c m<br />

c<br />

108°<br />

2<br />

b<br />

36°<br />

36° 36°<br />

a<br />

2. Simplify 42<br />

48 .<br />

3. 5.6 ÷ 0.8 =<br />

4. 1 4 × 1 5 =<br />

5. A stack of 50c coins<br />

= €18.50. How many coins?<br />

6. A 3-D shape has ten 5-cm<br />

by 1-cm faces. What is the<br />

shape’s surface area?<br />

cm 2<br />

7. 2,070 mm = m<br />

8.<br />

The time difference is<br />

9. + 4 – + 2 =<br />

10. 5, 5 1 4 , 5 3 4 , 6 1 2 ,<br />

hours.<br />

11. 4 × = 2 × 6<br />

12. 8.3 + 0.7 =<br />

13. What is the perimeter of a<br />

regular hexagon with<br />

10-cm sides?<br />

cm<br />

14. 1,000 × 0.005 =<br />

15. There are 0.6 euro to<br />

1 Canadian dollar. How<br />

many euro would you<br />

exchange for 20 Canadian<br />

dollars?<br />

€<br />

8 MARCH<br />

04:30<br />

9 MARCH<br />

04:30<br />

17. Complete the formula:<br />

diameter = ×<br />

18. Write in descending order.<br />

0.32 15%, 2.1<br />

, ,<br />

19. 7 3 m = 7 3<br />

1,000<br />

= 7.<br />

20. If you were cycling at<br />

36 km/h, how far would<br />

you travel in 10 minutes?<br />

km<br />

21. Which would you use to<br />

measure the weight of an<br />

apple?<br />

22. 9 =<br />

g kg t<br />

23. What is the simplified ratio<br />

of boys to girls if there are<br />

80 girls and 40 boys?<br />

Review sample<br />

24. 3 4 × 3 9 =<br />

25. Write the numeral 1.05<br />

million.<br />

<strong>6th</strong> <strong>Class</strong> 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> 109


MONDAY<br />

TUESDAY<br />

Week 37<br />

1.<br />

Enlarge this line by 3:1.<br />

mm<br />

2. Which would you use to measure the amount of orange<br />

juice in a glass?<br />

m<br />

3. Write the numeral 2.05 million.<br />

1. 2 3 > 1 2 True False<br />

2. The chance of rolling an odd number on a dice is<br />

0%. 50%. 100%.<br />

3.<br />

Reduce this line by 2:1. mm<br />

4. 4.8 + 0.8 =<br />

4. A 3-D shape has ten 2-cm by 2-cm faces.<br />

What is the shape’s surface area?<br />

cm 2<br />

5. Name this shape.<br />

6. 8<br />

10 = 0.<br />

7. 29 ÷ 0.5 =<br />

8. 10 one hundred thousands, 10 ten thousands,<br />

and 10 tens equals<br />

.<br />

9. There are 6 euro to 10 Australian dollars. How many euro<br />

would you exchange for 50 Australian dollars?<br />

€<br />

10. Which would you use to measure the height of a house?<br />

mm cm m km<br />

11. 14.07 m = mm<br />

12. Complete the formula: diameter = ×<br />

13. Which digit in 103.465 is in the hundredths place?<br />

14. Write 3 1 3 as an improper fraction.<br />

15. 4<br />

10 of an hour = minutes<br />

16. What is the average of the test scores 80, 35 and 35?<br />

17. 6.5 ÷ 0.5 =<br />

5. 5 , 50 , 500 , 5,000 ,<br />

6.<br />

7. Plot the coordinates<br />

(3,5), (5,2) and (1,2).<br />

Join them in order.<br />

What shape have you drawn?<br />

8. 1 2 × 8 10 =<br />

9. A 3-D shape has ten 1-cm by 3-cm faces.<br />

What is the shape’s surface area?<br />

10. 6 + 1,000 + 60,000 =<br />

cm 2<br />

11. Write 19 3 as a mixed number.<br />

12. 19.356 kg = g<br />

13. Write the numeral 5.01 million.<br />

14. 3 5 of an hour = minutes<br />

15. 2 10 = 0.<br />

16. What is the perimeter<br />

of this pentagon?<br />

mm<br />

Draw to show a<br />

rotation of 270° clockwise.<br />

17. The circumference of a circle is approximately<br />

2 3 4 times longer than the diameter.<br />

1<br />

0 1 2 3 4 5<br />

Review sample<br />

F<br />

9 mm<br />

5<br />

4<br />

3<br />

2<br />

18. 1 2 × 4 10 =<br />

19. A triangular prism has<br />

faces. edges. vertices.<br />

18. At 28 km/h, what is the distance travelled in 15 minutes?<br />

km<br />

19. Circle –6 on the number line.<br />

20. This is a net of a<br />

.<br />

20. (4 × 5) – 8 =<br />

110 <strong>New</strong> <strong>Wave</strong> <strong>Mental</strong> <strong>Maths</strong> Prim-Ed Publishing – www.prim-ed.com 978-1-92096-244-9 <strong>6th</strong> <strong>Class</strong>


WEDNESDAY<br />

THURSDAY<br />

1. 12,051 m =<br />

2. 3.6 ÷ 0.3 =<br />

3. 4 1 10 , 4 3 10 , 4 7 10 , 5 3 10 ,<br />

4. 90 + 70,000 + 4,000 =<br />

5. There are 7 euro to 1,000 Japanese yen. How many euro<br />

would you exchange for 5,000 Japanese yen?<br />

1. Write the numeral 4.01 million.<br />

2. 4.8 ÷ 1.2 =<br />

3. 8 10 × 1 4 =<br />

4. There are 0.6 euro to 1 Canadian dollar. How many euro<br />

would you exchange for 10 Canadian dollars?<br />

€<br />

Week 37<br />

€<br />

5. 4 9 × 3 8 =<br />

6. 4 5 > 0.79 True False<br />

7. Complete the formula:<br />

area of a square = ×<br />

8. How many edges has a pentagonal pyramid?<br />

9. 3 4 × 2 3 =<br />

10. When this net is assem