PR-1706IRE New Wave Mental Maths

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First published in 2002 by Prim-Ed Publishing

Revised 2017

Marshmeadows

New Ross

County Wexford

www.prim-ed.com

PR–1706

ISBN 978-1-92096-244-9

SAY

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

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

FOREWORD

New Wave Mental Maths is a series of seven pupil workbooks, written to provide a comprehensive and structured

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

mathematics curriculum are covered. The series has been updated and revised. Contemporary colour and appealing

artwork have been added. Question types have been revised, reworded or rewritten. New to this edition is the

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

problem-solving skills and strategies.

New Wave Mental Maths is designed to:

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

• encourage and develop mental calculation concepts and skills;

• constantly revise the different strands and strand units;

• develop and reinforce problem-solving strategies;

• develop and maintain speed of recall; and

• introduce, practise and consolidate a range of mathematical vocabulary and language.

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

A separate Teachers Manual is available to accompany the New Wave Mental Maths series. This manual contains

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

developed and answers for all the pupil workbooks.

Pupil Record Sheet........................................... iv–v

Week 1 ........................................................... 2–4

Week 2............................................................ 5–7

Week 3 ......................................................... 8–10

Week 4 ....................................................... 11–13

Week 5 ....................................................... 14–16

Week 6 ....................................................... 17–19

Week 7 ....................................................... 20–22

Week 8 ....................................................... 23–25

Week 9 ....................................................... 26–28

Week 10 ..................................................... 29–31

Week 11 ..................................................... 32–34

Week 12 ..................................................... 35–37

Week 13 ..................................................... 38–40

Week 14 ..................................................... 41–43

Week 15 ..................................................... 44–46

Week 16 ..................................................... 47–49

Week 17 ..................................................... 50–52

Week 18 ......................................................53–55

Week 19 ..................................................... 56–58

Week 20 ..................................................... 59–61

CONTENTS

Week 21 ..................................................... 62–64

Week 22 ..................................................... 65–67

Week 23 ..................................................... 68–70

Week 24 ..................................................... 71–73

Week 25 ..................................................... 74–76

Week 26 ..................................................... 77–79

Week 27 ..................................................... 80–82

Week 28 ......................................................83–85

Week 29 ......................................................86–88

Week 30 ..................................................... 89–91

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Week 31 ..................................................... 92–94

Week 32 ..................................................... 95–97

Week 33 ................................................... 98–100

Week 34 ................................................. 101–103

Week 35 ................................................. 104–106

Week 36 ................................................. 107–109

Week 37 ................................................. 110–112

Week 38 ................................................. 113–115

Week 39 ................................................. 116–118

Week 40 ................................................. 119–121

Maths Facts ............................................ 122–128

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

PUPIL RECORD SHEET

Date Date Date Date Date Date Date Date Date Date

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10

M M M M M M M M M M

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.

W W W W W W W W W W

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.

PS PS PS PS PS PS PS PS PS PS

F F F F F F F F F F

Date Date Date Date Date Date Date Date Date Date

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Week 11 Week 12 Week 13 Week 14 Week 15 Week 16 Week 17 Week 18 Week 19 Week 20

M M M M M M M M M M

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.

W W W W W W W W W W

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.

PS PS PS PS PS PS PS PS PS PS

F F F F F F F F F F

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

PUPIL RECORD SHEET

Date Date Date Date Date Date Date Date Date Date

Week 21 Week 22 Week 23 Week 24 Week 25 Week 26 Week 27 Week 28 Week 29 Week 30

M M M M M M M M M M

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.

W W W W W W W W W W

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.

PS PS PS PS PS PS PS PS PS PS

F F F F F F F F F F

Date Date Date Date Date Date Date Date Date Date

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Week 31 Week 32 Week 33 Week 34 Week 35 Week 36 Week 37 Week 38 Week 39 Week 40

M M M M M M M M M M

Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu. Tu.

W W W W W W W W W W

Th. Th. Th. Th. Th. Th. Th. Th. Th. Th.

PS PS PS PS PS PS PS PS PS PS

F F F F F F F F F F

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

MONDAY

TUESDAY

Week 1

1. Round 6.23 to one decimal place.

2. Write the prime numbers from 1 to 10.

, , and

1. Round 8.06 to one decimal place.

2. The time is 2.15 p.m. in Ireland and 3.15 p.m. in Spain.

What is the time difference?

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

between the two hands?

45º 90º 9º

4. A circle's radius is half the diameter.

5. 4 5 + 4 5 =

True

False

6. Write one million as a numeral.

7. Circle +7 on the number line.

8. 100,000 + 325,050 =

9. This is a net of a

10. What is the area of a

square with 4-cm sides? cm 2

11. 2 3 × 3 =

12. Simplify 5 10 .

13. Name this shape.

14. 100,000 – 10 =

15. 10% of 100 =

16. Round 3 3 4 (nearest whole number).

17. (4 × 5) – 10 =

18. What is the 24-hour time for 6.00 p.m.?

hours

19. Which is the lowest common denominator (LCD)

of 1 2 and 1 5 ?

20. 4 – 0.2 =

8 10 20

3. Round 2 7 10 to the nearest whole number.

4. What is the length of

Side a of the square?

5. 3 2 =

6. 8 × 3 × 3 =

7. (5 × 5) + (2 × 10) =

8. A cuboid has

faces.

edges.

vertices.

9. What is the LCD of 1 4 and 3 10 ?

10. What is the perimeter of an

equilateral triangle with 7-cm sides?

11. Tick the largest.

12. 1 2 = %

13. What is the value of the 8 in 820,411?

14. Name this shape.

15. Write one million and one as a numeral.

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16. 5 105 =

17. 4 × 3 4 =

On the circle diagram, label

18. the radius ‘A’.

19. the diameter ‘B’.

20. the circumference ‘C’.

5 cm

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

WEDNESDAY

THURSDAY

1. Round 4.27 to one decimal place.

2. This is a net of a

1. Round 3.39 to one decimal place.

2. 3 4 + 3 4 =

3. The circumference of a circle is approximately

2 3 4 times longer than its diameter.

4. 2.5 ÷ 5 = 0.

Week 1

3. 1 4 km = m

4. Write one million and ten as a numeral.

5. 6 – 0.3 =

6. Write the composite numbers from 1 to 10.

, , , and

7. What is the 24-hour time for 9.00 p.m.?

hours

8. 70 = double a, so a =

9. 2 3 = 2 × 2 × 2 =

10. (18 ÷ 3) + 8 =

11. Simplify 6 9 .

12. Which is the size of the inside angle

between the hands?

45º 90º 180º

13. 20% of €100 = €

14. Write the numeral two point zero, zero four.

15. 55,000 + 45,000 =

16. 4.1, 8.2, 16.4,

17. 9 × 2 3 =

18. If a jar contains 4 chocolate chip biscuits, 6 ginger

biscuits and 10 coconut biscuits, what is the probability

of picking a chocolate chip biscuit?

5. The length of

a is

b is

cm.

6. A triangular prism has

faces.

edges.

vertices.

7. (15 – 5) × 5 =

8. 3 3 = 3 × 3 × 3 =

9. Round 3 3 7 (nearest whole number).

10. The time is 7.12 a.m. in Ireland and 8.12 a.m. in France.

What is the time difference?

11. Circle –6 on the number line.

12. 60 , 600 , 6,000 ,

13. 19 × 3 = (20 × 3) –

14. Tick the smallest.

15. 1 4 = %

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16. The factors of 6 are

, , and .

17. What is the average of 15, 30 and 15?

6 cm

19. What is the perimeter of the square?

20. 6 2 =

3 cm

18. Write one million one hundred as a numeral.

19. 38 ÷ 5 = r

20. What is the 24-hour time for 4.30 a.m.?

hours

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

PROBLEM-SOLVING

FRIDAY REVIEW

Week 1

Monday

The pages in a book are consecutively

numbered from 1 to 76.

1. How many of the digit 1 are present?

2. How many of the digit 7 are present?

1. Round 5.79 to one decimal

place.

2. Write one million and ten

as a numeral.

14. 3 4 + 3 4 =

15. (5 × 4) + 5 =

16. Round 7 3 7 .

17. Name this shape.

Tuesday

3. What prime number

comes after 10?

1st 2nd 3rd

1. What is the 6th triangular number?

2. What is the 8th triangular number?

Wednesday

1. What is the sum of the

numbers not visible on

the dice?

2. What is the sum of the

numbers on the bottom

of the dice?

Thursday

1. Look at the net. Which number is missing from the

blank face of the cube?

2. How many triangles can you find?

1 2 5 6

4. The circumference of a circle

is approximately

2 3 4 times

longer than its diameter.

5. Simplify 14

20 .

6. Which is the size of the

inside angle at 9 o’clock?

45° 90° 9°

7. 20 = 5 + a,

so a =

8. 5 205 =

9. 8 × 2 4 =

10. Circle –5 on the number line.

11. 4 2 =

12.

This is a net of a

13. 30% of €100 =

€

-5 -4 -3 -2 -1

18. 100,000 – 100

19. A cube has

faces.

edges.

vertices.

20. Tick the largest.

21. The time is 9.20 a.m. in

Ireland and 10.20 a.m.

in Germany. What is the

time difference?

22. 1 5 = %

23. 10 3 = 10 × 10 × 10 =

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24. What is the 24-hour time for

8.00 p.m.?

hours

25. What is the length of

Side a of this square?

4 cm

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

MONDAY

TUESDAY

1. 149 ÷ 10 = r

2. What is the radius of this circle?

15 cm

1. 149 ÷ 5 = r

2. Draw a 270º rotation clockwise.

Week 2

3. This

mm tall.

15 cm

3. Is 715 divisible by 5?

4. (9 × 5) ÷ (30 ÷ 6) =

4. Round 7.53 to one decimal place.

5. What is the place value of the 9 in 962,000?

6. 90 + b = 2 × 70, so b =

7. Write one million, one hundred and one thousand

as a numeral.

8. 18.5 ÷ 10 =

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

created by the hands?

90º 45º 60º 180º

10. Simplify 10

15. .

11. Circle –5 on the number line.

12. 7 – 0.9 =

13. This is a net of a

14. 30% of €50.00 =

15. Is 3.7 rounded to 3 or 4?

16. (6 × 5) – 20 =

17. A regular pentagon has 7-cm sides. What is its perimeter?

18. 10 × 2 5 =

19. 4.04 > 4.20 True False

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

in Egypt. What is the time difference?

5. 15, 30, 45, , 75

6. Write the prime numbers from 10 to 20.

, , and

7. 2 4 = 2 × 2 × 2 × 2 =

8. 3 4 + 2 4 + 3 4 =

9. The abacus =

10. The length of one side

of this square is

11. 200 ÷ 5 =

12. Simplify 12

18 .

13. What is the area of a rectangular

field 100 m by 8 m? m 2

14. Name this shape.

15. 8 × 3 4 =

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cm.

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

get for £3.00?

€

17. 23.5 ÷ 10 =

18. A cube has

faces.

edges.

vertices.

19. 1 10 = %

20. 175,000 ÷ 175,000 =

1.5 cm

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

WEDNESDAY

THURSDAY

Week 2

1. 1,000 ÷ 100 =

2. 41.3 ÷ 10 =

3. Write one million, one hundred and one as a numeral.

1. 5,000 ÷ 500 =

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

get for £6.00?

€

4. 30,000 + 80,000 =

5. If a clock shows 9 o’clock, which is the

size of the inside angle?

90º 45º 60º

6. 6.05 < 6.60 True False

7. How many hours in 2 1 2 days?

hours

8. Round 5.86 to one decimal place.

9. What is the place value of the 4 in 417,200?

10.

The measurement at A =

11. 40% of €80 = €

12. Tick the largest.

13. 9 – 0.9 =

90 100

14. This is a net of a

15. 1,000,000 – 320,000 =

16. 3 4 = %

17. 4

10 + 4

100 = 0.

18. What is the LCD of 2 8 and 1 2 ?

19. A regular hexagon has 9-cm sides.

What is its perimeter?

20. 4 3 = 4 × 4 × 4 =

The obtuse angle of a = °

4. Write the composite numbers from 11 to 20.

, , , , and

5. The LCD of 3 4 and 2 3 is .

6. Circle +4 on the number line.

7. (8 × 4) ÷ (16 ÷ 4) =

8. This is a net of a

9. 8 10 – 3 10 =

10. 8 10 +

100 =

11. The time is 6.00 a.m. in Ireland and 9 a.m. in Kenya on

the same day. What is the time difference?

12. Simplify 12

13. 6 2 =

a 30°

16 .

14. Draw a 180º rotation anticlockwise.

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15. Tick the smallest.

16. What is the chance of picking a blue pen if your pencil

case has 4 red and 6 blue pens?

17. 200,000 – 70,000 =

18. Round 5.27 to one decimal place.

19. 400,000 + 900,000 =

20. A decagon has sides.

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. What will the speeding fine be?

5 – 12 km/h over €115

13 – 19 km/h over €175

20 – 29 km/h over €250

1. Write the numeral zero

point zero, zero two.

2. Round 8.57 to one decimal

place.

13. 40% of €60.00 =

€

14. Draw a 270º rotation

anticlockwise.

Week 2

2. How many odd-numbered houses are in a street

with houses from 1 – 43?

Tuesday

1. Mark ate 1 4 of a pizza. Kim ate 1 2 of what was left.

What fraction of the pizza was eaten?

2. Draw the top view of the 3-D shapes.

Wednesday

1. What is the size of Angle a?

2. What is the size of Angle b?

1. Yes ✔ No ✘

To calculate 4 × 44

Thursday

(a) double 44 and add 44.

(b) double 44 and double the answer.

(d) (44 + 4) × 4

2. Gina halved a number, subtracted 4 and added 5.

The answer was 21. What number did she start with?

150° b

3. 136 ÷ 10 = r

4. Name this shape.

5. Circle –3 on the number

line.

-5 -4 -3 -2 -1 0

6. This is a net of a

7. What is the diameter of a

circle if its radius is

5 cm?

8. (8 × 4) – 2 =

9. The time is 7 a.m. in

Ireland and 9 a.m. in South

Africa. What is the time

difference?

10. 80 + b = 50 × 3,

so b =

11. 250, 500, , 1,000

12. 1,000,000 – 280,000 =

15. Round 7.6 (nearest whole

number).

16. 2,000 ÷ 200 =

17. What is the LCD

of 3 4 and 1 2 ?

18. 300,000 + 800,000 =

19. Simplify 12

20.

21.

15 .

The measurement at A

The

22. 7 – 0.3 =

mm.

mm tall.

23. If there are £0.60 to €1.00,

how many euro would you

get for £12.00?

€

90 100

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12 cm

24. A jar has 4 red, 10 green

and 6 blue cubes. The

chance of randomly

choosing a red cube is

in .

25. What is the place value of

the 6 in 617,000?

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

MONDAY

TUESDAY

Week 3

100 +

10 = 0.

2. 4 5 + 3 5 + 4 5 =

3. Circle the approximate size of this angle.

20° 45° 80°

100 +

10 = 0.

2. 2 5 = %

3. 11 5 – 4 5 =

4. 9 + 2 × 10 =

4. 80,000 + 20,000 =

5. Write one million, one thousand and ten as a numeral.

6. 40 × 4 5 =

7. 750,000 + 250,000 =

8. The factors of 8 are , , and .

9. An architect is drawing house plans. A large window

measures 10 m long and needs to be drawn on paper as

10 cm long. Which is the scale?

1:10 1:1 1:100

10. What is the length of a wall

shown as 7 cm in the same house?

11. 2.09 > 2.10 True False

12. Tick the smallest.

13. 10 – 0.1 =

14. Circle +6 on the number line.

15. (16 ÷ 4) + 6 =

16. Double 8.6.

17. How many of Box B will fit evenly into Box A?

18. Write the prime number that comes after 19.

5. 5 – 0.05 =

6. 7 294 =

7. What is the radius of the circle?

8. Write the numeral one point zero, zero two.

9. 3 3 = 3 × 3 × 3 =

10. What is the value of the 3 in 3,211,211?

11. A tetrahedron has

faces.

edges.

vertices.

12. 143 ÷ 10 = r

13. 3, 9, 16, 24, , 43

14. If a clock shows 6 o’clock, what is the angle between

the hands?

15. What is the volume of this block?

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2 cm

1 cm

1 cm 1 cm

cm 3

16. 700,000 + 300,000 =

17. 31 × 9 = 279, 30 × 9 = 270, 29 × 9 =

8 cm

5 cm

2 cm

19. Round 6.09 to one decimal place.

20. The time is 10 p.m. in Ireland and 11 p.m. in Italy on the

same day. What is the time difference?

18. Round 6.09 to one decimal place.

19. 24 × 3 8 =

20. A shop has a 10% discount on all items. What will you

pay for a pair of shoes, originally priced at €50?

€

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

WEDNESDAY

THURSDAY

1. 9 2 =

2. If a bucket contains 2 red balls, 5 green balls and 13

yellow balls, what chance have you of choosing a red ball?

3. The factors of 9 are , and .

4. 200 – b = 110, so b =

5. Tick the largest.

6. Simplify 15

18 .

7. Circle –4 on the number line.

8. Circle the approximate size of this angle.

9. 1,000 – 50 =

10. 60,000 + 50,000 =

90° 10° 80°

11. New house plans show a wall 20 metres in length, drawn

on paper as 20 cm long. Which is the scale?

1:1 1:100 1:2

12. A square-based pyramid has

faces.

edges.

vertices.

13. A 20% discount on a €100 pair

of shoes means you pay € .

14. (9 × 9) – 20 =

15. The circumference of a circle is approximately

how many times longer than the diameter?

16. How many of Box B will fit evenly into Box A?

17. 29.5 ÷ 10 =

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

get for £6.00?

1. 7 2 =

2. A new house plan shows the living room

window 8 m in length, drawn on paper as 8 cm.

Which is the scale?

1:8 1:100 1:1

On the circle diagram, label

3. the radius ‘A’.

4. the diameter ‘B’.

5. the circumference ‘C’.

6. 4 5 = %

7. 3 – 0.05 =

8. 2 5 = 2 × 2 × 2 × 2 × 2 =

9. 800,000 + 300,000 =

10. Name this shape.

11. 307 ÷ 10 = r

12. (6 × 7) – (4 × 5) =

13. Write the numeral zero point zero, zero four.

14.

Angle = °

15. How would you write midnight in 24-hour time?

16. 30 × 5 6 =

hours

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3 cm

B 1 cm

1 cm

17. Write the numeral one million, one thousand, one

hundred and one.

18. 41.2 ÷ 10 =

19. Double 0.9.

20. What is the volume? m 3

Week 3

€

19. Round 20.54 to one decimal place.

2 m

20. Find the LCD of 1 3 and 3 5 .

3 m

4 m

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

PROBLEM-SOLVING

FRIDAY REVIEW

Week 3

Monday

1. Write the numbers 1, 2, 3 and 4 on the spinner.

(a) 1 has a 1 in 4 chance.

(b) 2 has a 25% chance.

2. Write as a number sentence. There are 210 golf

balls shared evenly among 10 buckets. How many

golf balls in each bucket?

Tuesday

1. What area do the flowers occupy? m 2

2. Claire spent 1 4 of her money buying clothes. She had

€90 left. How much money had she to begin with?

€

flowers

paving

Wednesday

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

What was the average speed?

4 m

km/h

2. Write as a number sentence. 32 golf balls in each of

10 buckets. How many golf balls altogether?

4 m

1. 10 2 =

2. If there are £0.60 to €1.00,

how many euro would you

get for £12.00?

€

3. 3 5 + 4 5 =

4. 5 – 0.02 =

2 cm

How many of Box B will

fit evenly into Box A?

6. The factors of 10 are

, ,

and .

7. 2 5 = 2 × 2 × 2 × 2 × 2 =

8. Round 7.07 to one

decimal place.

9. Tick the smallest.

2 cm

B 1 cm

1 cm 1 cm

10. An architect has drawn new

house plans. A window

12 m long is drawn on

paper as 12 cm. Which is

the scale?

1:12 1:1

1:100

11. Circle –3 on the number

line.

14. A shop has a 10% discount.

What is the new price for

an item tagged at €80.00?

€

15. What is the size of

this angle?

16. The time is 8 p.m. in Ireland

and 9 p.m. in France. What

is the time difference?

17. 3 5 = %

18. 25 × 4 5 =

19. Write one million, one

thousand and eleven as

a numeral.

20. 29.5 ÷ 10 =

21. Draw a line to show the

diameter on this circle.

22. What is the place value of

the 2 in 2,411,333?

23. If a clock shows 6 o’clock,

what is the size of the angle

of the hands?

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-5 -4 -3 -2 -1 0

24. What is the LCD

of 2 3 and 1 5 ?

Thursday

1. A safe holds 10 × €200, 20 × €100,

200 × €20 and 500 × €50.

The total amount is € .

2. Dylan halved a number and multiplied it by 3.

The answer was 12.

What number did he start with?

12. 900,000 + 200,000 =

13. What is the volume of a fish

tank 2 m wide, 4 m long

and 3 m high?

m 3

25. 31 × 8 = 248,

30 × 8 = 240,

29 × 8 =

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

MONDAY

TUESDAY

1. Write the prime numbers from 10 to 20.

2. Simplify 20

25 .

, , and

1. Write the next 2 prime numbers after 20.

and

2. Tick the smallest.

Week 4

3. What is the simplified ratio of boys to girls if a class has

20 boys and 10 girls?

4. 600 + 900 =

5. Add brackets to this number sentence.

6 × 4 + 3 ÷ 3 = 25

6. 29.3 ÷ 10 =

7. 10 – 0.2 =

8. 4,000 ÷ 400 =

9. 35,000 + 65,000 =

10. The time is 4 p.m. in Ireland and 10 p.m. in India on the

same day. What is the time difference?

11. Round 7.89 to one decimal place.

12. 3 5 = %

13. 100 ÷ 10 =

14. 42 × 9 = 378

41 × 9 = 369

40 × 9 = 360

39 × 9 =

15. 1.2, , 0.8, 0.6, 0.4

16. This is a net of a

17.

2 cm

A B 1 cm

3 cm

How many of Box B will fit evenly into Box A?

3. 1 3 4 + 2 3 4 =

4. 50% off a €300 item = €

5. Circle +3 on the number line.

6. Write the numeral one million, one hundred

and ten thousand.

7. 8 – 0.9 =

8. How many degrees has a pentagon?

9. 7.70 > 7.09 True False

10. 25,000 + 45,000 =

11. 10 6 =

12. The arc of a circle is part of the

circumference.

13. Name this triangle.

diameter.

14. A fish tank is 3 m long by 2 m wide by 3 m high.

What is its volume?

m 3

15. What is the simplified ratio of boys to girls if there are

6 boys and 12 girls in a class?

Review sample

1 cm

16. Round 8 3 5 .

2 m

180°

3 m

180°

3 m

18. Will a square and a circle tessellate together?

19. Name this shape.

17. Halve 10.5.

18. How many halves in 2?

19. 27 × 3 9 =

20. Add brackets to this number sentence.

3 × 8 – 5 × 2 = 14

20. 10 4 = × × × =

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

WEDNESDAY

THURSDAY

Week 4

1. Write the composite numbers from 11 to 20.

, , , , and

2. If a clock shows 3 o’clock, which is the size

of the inside angle between the hands?

45º 90º 180º

3. Simplify 8 24 .

1. Write the composite numbers from 21 to 30.

, , , , , ,

and

2. Tick the largest.

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

get for £30.00?

€

Abacus =

5. Which is the scale if a house plan shows a wall 3 cm

long but it is actually 3 m long?

1:1 1:10 1:100

6. Round 8.96 to one decimal place.

7. 8 504 =

8. The factors of 12 are

, , , , and .

9. A wizard’s special potion needs

250 m of beetroot juice.

Colour the amount.

10. 400,000 + 700,000 =

11. 4 1 5 – 3 5 =

12. How many of Box B will

fit evenly into Box A?

13. 16,500 + 9,500 =

14. 12 × 11 =

15. 10 5 =

16. 10.6 ÷ 10 =

17. Double 1 2 .

18. This is a net of a

1 cm

1,500 m

1,000 m

500 m

A B 1 cm

2 cm

5 cm

1 cm

4. b – 45 = 55, so b =

5. LCD of 3 4 and 5 6 is .

6. Circle –4 on the number line.

7. Round 19.8 to the nearest whole number.

8. 4 8 = %

9. Which line is the diameter, a, b or c?

10. 72°

36° This regular pentagon has

72°

36°

108°

scalene triangles.

isosceles triangles.

equilateral triangles.

11. What is the probability of being born on a Monday?

12. 6 2 5 – 4 5 =

13. Will a hexagon and a square tessellate together?

14. 75,000 + 25,000 =

15. Write the numeral one million, one hundred and

one thousand.

16. Double 1 4 .

36°

Review sample

108°

17. What is the simplified ratio of girls to boys if a class

has 5 girls and 20 boys?

18. 36 × 4 9 =

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

19. Write one and one tenth as a decimal.

20. How many halves in 3?

€

20. 2.97, 2.98, 2.99, , 3.01,

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Ethan had 5 × €1, 5 × 50c and 6 × 20c coins.

Ethan ordered 4 hot chocolates and his father

picked up the shortfall of € .

2. A, B and C are numbers.

Find the number each letter

represents.

A = B = C =

Tuesday

1. David doubled a number, added 8 and divided it by 5.

His answer was 6. What number did he start with?

2. The scientists in Antarctica counted an average of

75 penguins in a 10 m 2 area. How many penguins

are possible in 1,000 m 2 ?

Wednesday

1. Emily surveyed places to eat in her town.

cafes (5), bakeries (3), restaurants (7), pizzerias (7),

chippers (2), burger bars (4)

In its lowest terms, what is the fraction of cafes

and restaurants?

2. Liam ate 75% of his cereal. What decimal was left?

Thursday

Work out the sizes of the angles

of the regular pentagon. a

Use this

to help.

72°

36°

72°

108°

36°

108°

36°

1. a = ° + ° = °

b = ° + ° = °

108°

€2.50

B 3 A

+ C 2 B

5 A 9

108°

1. Write the prime numbers

between 20 and 30.

and

2. 8 408 =

3. 50% off a €700 item,

new price =

€

Name this 3-D shape.

5. 35,000 + 15,000 =

6. The diameter of a circle is

20 cm. What is the radius?

7. 2.60 > 2.06

True

8. a + 55 = 100,

so a =

9. 36 × 3 9 =

False

10. Round 9.98 to one

decimal place.

11. (7 × 5) – (10 ÷ 2) = 40

True

False

12. 2 5 = %

13. The factors of 14 are

14.

, ,

and .

2 cm

3 cm

1 cm

How many of Box B will fit

evenly into Box A?

15. Double 1 4 .

16. 10 5 =

17. 6 1 5 – 3 5 =

18. If there are £0.60 to

€1.00, how many euro

would you get for £30.00?

€

19. 6 8 = %

20. Abacus =

21. A pentagonal

prism has

22. Simplify 21

faces.

edges.

vertices.

24 .

23. What is the simplified ratio

of boys to girls if there are

9 boys and 18 girls?

24. How many halves in 4?

Review sample

25. 10.4 ÷ 10 =

Week 4

2. c = ° + ° + ° = °

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

MONDAY

TUESDAY

Week 5

1. The factors of 15 are

, , and

2. Colour 0.6.

3. Circle the prime number.

21 23 25

4. 6 8 = %

5. Which net will make a pyramid?

6. 10 – 0.08 =

7. Add brackets to this number

6 × 3 + 8 ÷ 2 = 22

8. 4 km 80 m = km

9. Draw this shape after . a 180°

10. Halve 1 2 .

11. 10 4 =

12. A jar contains 10 blue, 4 red

is the chance of picking a blue

13. On your house plans, a measurement

for a kitchen window. If the

should you draw the line?

14. Name this shape.

15. What is the place value of the

16. 750,000 + 250,000 =

17. What is the size of this angle?

18. Tick the largest.

19. Write these temperatures on

0 °C, 4 °C, –4 °C, –3 °C, 2 °C

coldest

20. What is the volume of a box

50 cm by 30 cm by 20 cm?

clockwise.

jelly

m is

1:100, how

line.

warmest

cm 3 1. The factors of 16 are

, ,

2. The time is 2 a.m. in

in China. What is the

3. Halve 1 3 .

4. Share €160.00 equally

€ each

5. 15,500 + 7,500 =

6. 1 – 0.04 =

7. Halve 1 4 .

8. How many of Box B will

fit evenly into Box A?

9. Circle –2 on the number

10. 7 1 10 – 8 10 =

11. A tetrahedron has

faces.

edges.

vertices.

12. Name this shape.

13. What is the simplified

boys if there are 15 girls

14. 25 × 2 5 =

15. 85,000 + 15,000 =

16. 3 4 km =

17. The LCD of 7 10 and 3 4

18. 2 40 m = .

19. How many halves in

20. Angle a =

, and .

Ireland and 10 a.m. on the same day

time difference?

among 8 people.

sentence.

3 cm A

1 cm

3 cm

rotation 3 cm 1 cm 1 cm

line.

and 6 white beans. What

one?

of 8 indicated

scale is long

2 in 0.02?

ratio of girls to

to 3 boys?

is .

the number

°C

Review sample

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

WEDNESDAY

THURSDAY

1. 5 × 10 × 2,000 =

2. Write the decimal zero point zero five.

3. Simplify 20

24 .

4. 10 5 =

1. 20 × 5 × 2,000 =

2. 4 × b = 36, so b =

What is the size of this angle? °

Week 5

5. Circle the composite number.

29 30 31

6. What is the perimeter of the square?

7. 2,000 – 350 =

8. Draw after a 270º rotation anticlockwise.

9. 1 3 = %

10. 1 3 of = 4

11. An octahedron has faces.

12. How many of Box B will fit evenly into Box A?

13. 5 2 10 – 7 10 =

14. 17, 34, 68, , 272

15. 82.95 ÷ 10 =

16. A bus timetable shows 8-minute intervals between

each stop. If a bus leaves at 9.02 a.m. and has 4 stops,

what time will it reach its destination?

17. Add brackets to this number sentence.

9 × 3 – 18 ÷ 2 = 18

18. A cuboid has

faces.

vertices.

4 cm

19. What are the multiples of 8?

edges.

2 cm

2.5 m

2 cm

4. 25% of 800 =

5. This is a net of a

6. Simplify 18

7. 12 × 9 =

24 .

8. Colour to show approximately 3 4 litre.

9. 9 342 =

10. On a plan, how many centimetres should a wall be if

its actual length is 12 m and the scale is 1:100?

11. Tick the smallest.

12. Write five tenths as a decimal.

Review sample

Before

9 6

After

13. 4 8 10 + 7 10 =

14. How many halves in 4?

15. Double 1 4 .

16. 2 – 0.09 =

17. 81 × 1 9 =

18. 1 4 of = 20

19. 71.69 ÷ 10 =

100 m

20. Write one million, one thousand, one hundred and eleven

as a numeral.

20. A regular octagon has a perimeter of 40 cm.

What is the length of one side?

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

PROBLEM-SOLVING

FRIDAY REVIEW

Week 5

Monday

Mr Teacher's 6th Class

Homework Excuses for 1st Week of October

Dog chewed it

Left at home

1. The factors of 21 are

, ,

and .

2. 25% of 900 =

14. How many halves in 6?

15. Add brackets to this number

sentence.

8 × 3 – 45 ÷ 9 = 19

Left at school

Fell out of bag

0 2 4 6 8 10 12

1. What was the fraction of homework that fell out

of bags?

2. What fraction either left their homework at

school or at home?

Tuesday

1. A cake shop uses a large container of golden syrup

each week. From Wednesdays to Sundays, the chef

uses 3 5 of a container. Circle the litre level that will

be left over for Mondays.

2. On Tuesday morning, there was 5 litres left.

How much was used on Monday?

Wednesday

1. 45 hundreds, 150 tens and 150 units is equal

to .

2. What 4 coins will make €2.90?

Thursday

1. Colour to show the parallel streets.

litres

2. A tap leaks 250 m every ten minutes. How long

will it take to leak 1 litre?

3. Write the numeral one

million, one thousand

and one.

4. 73.55 ÷ 10 =

5. 6 × b = 42, so b =

6. Draw as a 90º rotation

anticlockwise.

7. What is the volume of a

box 40 cm by 20 cm by

30 cm?

8. 35 × 3 5 =

cm 3

9. What is the LCD of

10 and 3 4 ?

10. A fence 15 m long is drawn

at a scale of 1:100. The

length of the fence on

paper will be

11. Halve 1 2 .

cm.

12. Octahedron = faces

13. 30 × 5 × 2,000 =

16. 16, 32, 64,

17.

8 cm

How many of Box B will fit

evenly into Box A?

18. 5 3 10 – 7 10 =

19. What is the perimeter of

this square?

20. Multiples of 7.

Before

21. 1 2 of = 8

22. 9.1, 9.05, 9, , 8.9,

8.85

23. A bus timetable shows

8-minute intervals between

each stop. If a bus leaves at

6.04 a.m. and has 3 stops,

what time will it reach its

final destination?

Review sample

24. 10 5 =

2 cm

1.5 m

a.m.

25. Circle –3 on the

number line.

-5 -4 -3 -2 -1

2 cm

After

2 cm

minutes

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

MONDAY

TUESDAY

1. What is the average?

85 75 65

2. Write these decimals from smallest to largest.

0.5 0.75 0.05

, ,

3. House plans are drawn using 1:100 as the scale. Measure

this line and indicate the actual length in metres.

4. 3 4 kg = g

5. 4.17 > 4.1 True False

6. 5 – 0.07 =

7. What is the area of a floor 8 m by 6 m? m 2

8. Which is the inside angle between the hands?

9. Halve 1 4 .

45º 90º 9º

10. Circle the prime number.

27 28 2 9

11. Write the numeral one million, five hundred and fifty

thousand.

12.

How many of Box B will fit evenly into Box A?

13. The factors of 22 are , ,

and .

14. 25,000 + 75,000 =

15. 9 + 7 × 2 =

3 cm

16. 2 5 = × × × × =

17. 2 3 = %

18. Write half past one in the

morning as 24-hour time.

19. 0.5 , 5 , , 500 , 5,000

20. What is the height of the cylinder?

2 cm

4 cm 2 cm

1 cm

2 cm

450 mm

hours

1. What is the average?

350 550 750

2. How many thirds in 2?

3. 75% of 100 =

4. The sum of the angles in a square is º.

5. 6 2 =

6. Double 0.7.

7. Name this shape.

8. What is the simplified ratio of boys to girls

if a class has 10 boys and 20 girls?

9. Round 7.07 to one decimal place.

10. b × 12 = 108, so b =

11. Write these fractions from largest to smallest.

12. 8 4 8 + 2 7 8 =

, ,

13. What is the volume of this block?

cm 3

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

in Thailand. What is the time difference?

15. Circle –5 on the number line.

Review sample

16. 1 4 of = 10

17. Order from smallest to largest.

0.7 0.75 7.05

18. 80 × 50 =

19. 47.5 ÷ 10 =

, ,

5 cm

20. A hat contains 4 red and 6 blue marbles. What is the

chance of randomly choosing a red marble? Draw a cross

on the chance line.

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

3 cm

6 cm

Week 6

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

WEDNESDAY

THURSDAY

Week 6

1. 9 =

2. A floor is 7 m by 4 m. Area = m 2

3. Write these decimals from largest to smallest.

0.22 0.2 0.02

4. 75% of 200 =

, ,

5. What is the simplified ratio of girls to boys if a class has

20 girls and 10 boys?

6. Round 29.35 to the nearest whole number.

7. Simplify 21

24 .

8. Draw as a 90º rotation clockwise.

9. 3 3 =

10. 1 2 kg = g

11. Write six hundredths as a decimal.

12. Name this 3-D shape.

13. What is the radius of the circle?

14. Circle the composite number.

15. 8 1 3 – 2 3 =

26 29 31

16. Angle a = °

as 100° + 80° + 70° + ° must equal 360°.

17. This is a net of a

18. 1 5 = %

19. (16 – 7) – (12 ÷ 4) =

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

chance of picking a 4 randomly?

12 cm

100° a

80° 70°

1. 25 =

2. How many of Box B will

fit evenly into Box A?

3. How many thirds in 3?

4. The angles in a rectangle = º

5. 300, 30, 3,

6. 300 ÷ c = 60, so c =

7. Which triangle has no line of symmetry?

3 c m

8. 7 357 =

9. Simplify 30

36 .

10. Write these fractions from largest to smallest.

5 c m

4 c m

, ,

11. A square-based pyramid has

faces.

edges.

vertices.

12. Write nine hundredths as a decimal.

13. 8.00 > 8.08 True False

14. How many degrees?

15. 477 m = 477

1,000 km = km

16. 2 – 0.01 =

17. 75% of 500 =

On the circle diagram, label

18. the radius ‘A’.

19. the diameter ‘B’.

20. the circumference ‘C’.

2 cm

3 c m

4 cm

3 c m

3 cm

5 c m

1 cm

2 cm 2 cm

Review sample

5% 4% 20% 25%

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. A sea container measures 6 m × 10 m × 3 m. TVs

are packaged in 2 m × 3 m × 1 m boxes. How

many TVs will fit in the sea container if there are 30

TVs in each box?

2. 12 The angle of rotation from 1 to 6

2 is 150°. Each consecutive clock

A A

1 0 8

A =

number is equal to ° .

Tuesday

2. What is the value of 11 ten thousands and 9 ten

thousands?

Wednesday

1. 1.65, 1.375, 1.11, 0.825, , 0.275

2. 0.75, 0.625, , 0.375, 0.25

Thursday

1. Our difference is 5, our product is 24.

The numbers are and .

2. An engineer tested a table that could hold

6 cubes, at each corner (X).

3 cubes in between each corner (Y).

1 cube in the middle (A).

1. 16 =

2. Order from smallest to

largest.

0.5 0.75 0.05

, ,

3. What is the simplified ratio

of boys to girls if there are

12 boys and 24 girls?

4 cm

How many of Box B will fit

evenly into Box A?

5. 1 4 kg = g

6. c × 12 = 132,

so c =

7. What is the area of a floor

7 m by 6 m?

8. 9 – 0.01 =

m 2

9. 75,000 + 25,000 =

10. How many thirds in 4?

11. 7 427 =

12. Write twelve forty in the

morning as 24-hour time.

13. 7.07 > 7.70

True

2 cm

4 cm

hours

False

1 cm

2 cm 2 cm

14. Order these fractions from

largest to smallest.

15. Double 0.8.

16. An angle in

a rectangle = °

17. 387 m = 387

1,000 km

= km

18. 38.5 ÷ 10 =

19. House plans are drawn

using 1:100 as the scale.

Measure this line and

indicate the actual length

in metres.

20. 2 5 = %

21. Cards numbered 1 to 10

were shuffled. Draw a

cross to show the chance

of randomly picking

either a 7, 8, 9 or 10.

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

22. 7 6 8 + 2 4 8 =

23.

This is a net of a

Review sample

X Y X

Y A Y

X Y X

5 KG

24. 75% of 500 =

25. What is the average?

250 100 550

Week 6

What is the total weight limit of this table?

, ,

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

MONDAY

TUESDAY

Week 7

1. 16 =

2. Write these decimals from smallest to largest.

0.4 0.04 0.44

3. Draw a 180º rotation

clockwise.

, ,

1. 81 =

2. What is the simplified ratio of boys to girls if there are

18 boys and 9 girls?

3. 1 5 kg = g

4. 1 4 of = 7

4. 1 – 0.98 =

5. How many thirds in 5?

6. Write the missing angle. º

7. 6 + 4 × 2 =

8. The average of these numbers is .

4 5 3 7 6

9. How many faces

has an octahedron?

10. What is the place value of the 2 in 3.812?

11. 1, 4, 9, , 25

12. The factors of 24 are , , ,

13. How many of Box B

will fit into Box A?

14. 10 2 =

, , , and .

15. 2,000 – = 1,200

16. (15 + 5) + (6 × 5) =

17. This is a net of a

2 cm

4 cm

3 cm

60°

4 cm

60°

1 cm

5. Round 17.73 to one decimal place.

6. 10 5 =

7. The next prime number after 19 is .

8. 4 5 = %

9. 9,000 ÷ 90 =

10. 15% of €50.00 = €

11. Write twelve hundredths as a decimal.

12. The measurement at A =

13. Name this shape.

14. Write these fractions from smallest to largest.

15. 2 5 of = 12

16. (15 + 15) + (6 × 5) =

17.

120°

, ,

100

Review sample

60° 120°

Angle a = °

18. 1 8 = m

18. Write one minute past one in the afternoon as

19. 7 3

10 – 8 10 =

24-hour time.

hours

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

get for £15.00?

€

19. 2 kg 55 g = 2 55

1,000 kg = kg

20. 8.009 < 8.02 True False

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

WEDNESDAY

THURSDAY

1. 36 =

2. Write these decimals from largest to smallest.

0.06 0.6 0.006

, ,

3. 1 – 0.96 =

4. How many quarters in 2?

90° 90°

1. 64 =

5 cm

2 cm

3 cm

1 cm 1 cm

How many of Box B will fit evenly into Box A?

Week 7

5. Write the missing angle. º

6. 7.006 < 7.05 True False

7. What is the average?

9 11 8 12 10

8. Draw a 270º rotation clockwise.

9. The LCD of 1 8 and 2 3 is .

10. 40,000 – = 10,000

11. 10 4 =

12. A cafe’s fish tank is 5 m × 7 m × 2 m.

The volume = m 3

13. The time is 3 a.m. in Ireland and 4 a.m.

in Sweden. What is the time difference?

14. Colour to +3 ºC on the thermometer.

15. Simplify 21

27 .

16. 2 5 kg = g

17. 3 4 5 + 1 3 5 =

18. An octahedron has faces.

19. 3 m 3 cm = 3 3

100 m = . m

20. The angle size of

a is º.

b is º.

30°

90° ?

°C

5 0

4 0

3 0

2 0

1 0

Circle the angle which is 45°.

4. 1 – 0.95 =

5. 1 8 kg = g

6. 1.85, 1.9, 1.95, , 2.05

7. 15% of €40.00 = €

8. 2 4 =

9. The next composite number after 20 is .

10. 1 3 = %

11. Write the numeral one million and ten.

12. 2.003 < 2.030 True False

13. 850 g = 850

1,000 kg = . kg

14. What is the simplified ratio of 27 boys to 9 girls?

15. If a room is 7 m by 10 m,

what is the floor area? m 2

0 0 16. Round 16.34 to one decimal place.

17. 2 3 of = 16

18. (5 × 10) ÷ (6 – 4) =

19. A cube has

°C

faces.

5 0

-1 0

-2 0

-3 0

-4 0

-5 0

Review sample

edges.

vertices.

20. Colour to –4 °C on the thermometer.

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

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

PROBLEM-SOLVING

FRIDAY REVIEW

Week 7

Monday

1. A shop advertised a TV for €800 plus VAT. If the VAT

was 20%, what was the total cost of the TV?

€

= 1 m 2

The area of each tetromino is 4 m 2 . Which

tetromino has a different perimeter?

4 cm

Tuesday

The perimeter of A and B is 16 cm each.

Are the areas of A and B equal?

6 cm

The area of A = 36 cm 2 . The area of B = 20 cm 2 .

Perimeter of A =

Perimeter of B =

Wednesday

1. Which of Monday’s tetrominoes is not symmetrical?

2. Rotate the clock hand 90° clockwise.

4 cm

6 cm

A B C D

6 cm

Thursday

1. Cheese was priced at €5.50 per 150 g.

What was the weight of the cheese if €22.00 was

charged?

2 cm

10 cm

2 cm

€800

+ 20% VAT

1. 100 =

2. Order from smallest

to largest.

0.5 0.05 0.005

3. 3 – 0.94 =

, ,

4. 2.85, 2.9, 2.95,

5. 15% of €60.00 =

€

6. How many quarters in 3?

a = °

8. Write the numeral one

million, one hundred

and ten.

9. What is the volume of a

room 7 m by 3 m by 2 m?

10.

m 3

Which angle is

a right angle?

11. 2 3 of = 8

12.

3 cm

45°

90°

A B C D

3 cm

How many of Box B will fit

evenly into Box A?

13. 4 5 + 1 10 =

3 cm

1 cm

14. 50,000 – c = 35,000,

3 cm

1 cm

15. Draw as a 180º rotation

clockwise.

16. Write eleven fifty-two at

night as 24-hour time.

hours

17. The average of the numbers

8, 9, 4, 7 and 12

is .

18. A room 8 m by 5 m needs

recarpeting.

The area = m 2

19. The next prime number

after 23 is .

20. Add brackets to this number

sentence.

7 × 8 ÷ 4 × 2 = 7

21. 3 5 kg = g

22.

23.

This is a net of a

A =

B =

24. Write seven hundredths

as a decimal.

25. 6 + 4 × 4 =

90 100

Review sample

10 20

2. How many days are there from the 1 st of April

to the 1 st of July?

so c =

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

MONDAY

TUESDAY

1. Write 2 1 4 as an improper fraction.

2. 1 – 0.92 =

3. What is the angle between the hands at 6 o’clock?

1. Write 4 1 2 as an improper fraction.

2. How many degrees in this angle?

Week 8

4. 100 = .

5. 3 1 3 – 2 3 =

6. c ÷ 5 = 100, so c =

7. Write 1 10 as a decimal.

8. Write the missing angle.

9. The average of these numbers is .

5 8 6 4 7

10. 0, 1, 1, 2, 3, 5, 8, , 21

11. 12

100 + 5

100 = 0.

12.

13.

This is a net of a .

A fast train took 3 hours to complete its 750-km journey.

Its speed was an average of

14. 11 2 =

15. 9, 27, 81, , 729

16. 3 5 kg = g

17. 60% of 40 =

km/h.

18. What is the area of a piece of paper 20 cm by 10 cm?

19. How many degrees

has a hexagon?

cm 2

20. What is the size of each angle in a regular hexagon?

180°

70°

180°

65°

3. Order these decimals from smallest to largest.

0.07 0.7 0.007

, ,

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

5. How many quarters in 3?

6. 5 1 5 – 4 5 =

7. Write 5 10 as a decimal.

8. Draw a 270º rotation

anticlockwise.

9. (9 × 4) ÷ (4 × 3) =

10. Name this shape.

11. Write one million, one hundred and eleven as a numeral.

12. 3 5 = %

13.

How many of Box B will fit evenly into Box A?

14. 3 4 m = 3 4

1,000 =

15. A triangular prism has

Review sample

16. 42

faces. edges. vertices.

17. Colour to –3º on the thermometer.

18. Will a square and a right-angled

triangle tessellate together?

19. 15% of 80 =

10 cm

4 cm

20. The LCD of 3 4 and 1 2 is .

2 cm

1 cm

Before After 5 0

°C

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

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

WEDNESDAY

THURSDAY

Week 8

1. Write 3 1 3 as an improper fraction.

2. y ÷ 4 = 40, so y =

3. 25 =

4. 10 – 0.98 =

5. How many quarters in 4?

1. Write 2 3 4 as an improper fraction.

2. Order these decimals from largest to smallest.

0.04 0.44 0.004

, ,

3. Name this shape.

6. Write 1

100 as a decimal.

7. 3 7

10 + 2 7 10 =

8. The average of these numbers is .

25 24 30 26 20

9. Peter ate 1 5 of a pizza. Alina ate another fifth.

What fraction of the pizza was left?

10. Write these fractions from smallest to largest.

, ,

11. Write ninety hundredths as a decimal.

12. 6 1 3 – 2 3 =

13. (100 – 50) – (4 ÷ 2) =

14. Write the sizes of the angles.

a = °

b = °

c = °

15. An octahedron has faces.

16. What is the perimeter of a fence around a field 35 m in

width and 55 m in length?

120°

17. How many faces has a triangular prism?

18. The time is 2.20 p.m. in Ireland and 10.20 p.m. in Western

Australia on the same day. What is the time difference?

30°

60°

120°

30°

4. Place value of the 7 in 7,111,233?

5. 7,111,233 – = 7,000,000

6. 10 – 0.95 =

7. Write 5

100 as a decimal.

8. 25% of 60 =

9. 12 2 =

10. Write the missing angle.

11. 8 kg 12 g = 8 12

1,000 kg = . kg

12. 1 4 kg = g

13. 9,000,000 + 3,500,000 =

14.

10 cm

How many of Box B will fit evenly into Box A?

15. 6 8 = %

16. 90 × 9 = 810, 89 × 9 =

17. Write the numeral fifteen point zero two.

18. A pentagonal prism has

faces.

edges.

vertices.

3 cm

2 cm

70°

110° 70°

3 cm

1 cm

Review sample

2 cm

19. What is the simplified ratio of bananas to apples if a fruit

bowl contains 15 bananas and 5 apples?

20. What is the chance of rolling a two on a dice?

19. 3.3, 3.6, 3.9, , 4.5

20. Jess had 5 shuffled cards 2, 3, 5, 7 and 11. What chance

has she of selecting a 7?

% or 0.

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

PROBLEM-SOLVING

FRIDAY REVIEW

1. B B B =

+ B

6 0

Monday

How many triangles can you find?

2. 7 A A =

+ A 0

8 A

Tuesday

Wednesday

1. The length of the prism's base is mm.

2. The width is 60% of the length = mm.

1. Classify and record.

Lines of symmetry

Vertical

Horizontal

Diagonal

490 mm 520 mm

Thursday

✔

2. 100 is a square number. It is also the sum of

2 square numbers. What are these 2 numbers?

1. Write 2 2 3 as an improper

fraction.

2. 10 – 0.92 =

3. What is the perimeter of

a field 50 m by 25 m?

4. Name this shape.

5. c ÷ 3 = 300,

so c =

6. What is the area of a piece

of paper 50 cm by 20 cm?

cm 2

7. 0, 1, 1, 2, 3, 5, , 13, 21

8. 100 =

9. 2.97, 2.98, 2.99,

10. 15% of 40 =

11. Write 1 10 as a decimal.

12. 800,000 + 450,000 =

13.

14.

A fast train took 4 hours

to complete its 800-km

journey. Its average speed

was

b = º

km/h.

15. How many quarters in 3?

16. 6.03 + 6.003 =

17. The average of 52, 45,

50, 55 and 48

is .

18. 5 2 5 – 4 5 =

19. 4 5 kg = g

20. Larry ate 4 10 of a

pizza and Linda ate

another 1 5 . What

fraction of the pizza

did they eat?

21. How many degrees has

a hexagon?

22. What is the chance of

picking a King from

a deck of 52 playing

cards?

23. What is the perimeter of

a fence around a garden

25 m in width and 35 m

in length?

24. 5 7 10 + 3 9 10 =

25. How many of Cuboid B

will fit into Cuboid A?

Review sample

✔

110°

70°

110°

8 cm

1 cm

2 cm

6 cm

3 cm

Week 8

and

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

MONDAY

TUESDAY

Week 9

1. Write 3 2 as a mixed number.

2. 5 – 0.91 =

3. 9 =

1. Write 7 3 as a mixed number.

2. What is the simplified ratio of girls to boys if

there are 15 girls and 5 boys?

4. Write 6 10 as a decimal.

5. Write the missing angle. º

6. y × 300 = 30,000, so y =

7. How many halves in 2?

8. 2, 6, 18, , 162

9. This is a net of a

10. Circle the prime number.

23 25 27

11. Write one million, two hundred thousand as a numeral.

12. 2.2 – 0.3 =

13. Draw a 180º rotation clockwise.

14. How many halves in 4? 4 ÷ 1 2 =

15. What is the place value of the 4 in 8.204?

16. 9

10 + 9

100 = 0.

17. What is the sum of the angles in a hexagon? °

90°

3. Simplify 80

100 .

4. 7 2 =

5. 8 8 10 + 1 2 10 =

6. 49 =

7. Write 24

100 as a decimal.

8. On a plan a wall measures 14 cm. The scale is 1:100.

How long is the wall?

9. The average of these numbers is .

10 3 0 7 5

10. 1 4 kg = g

11. How many fifths in 2? = 2 ÷ 1 5 =

12. 8,000 ÷ 800 =

13.

Volume = cm 3

14. What is the probability of picking a King from a deck

of 52 playing cards?

15. 7.1 – 0.2 =

16. 25% of 80 =

180°Review sample

180°

17. 4 5 = %

18. Write one million, nine hundred and nine thousand

as a numeral.

°C

18. Order these decimals from largest to smallest.

0.08 1.8 0.8

, ,

19. How many quarters in 5? 5 ÷ 1 4 =

20. 80 , 150 , 850 , , 77,850

19. A cuboid has

faces.

edges.

vertices.

20. Colour to –1 °C on the thermometer.

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

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

WEDNESDAY

THURSDAY

1. Write 5 2 as a mixed number.

2. What is the simplified ratio of apples to pears if a fruit

bowl contains 12 apples and 6 pears?

1. Write 7 4 as a mixed number.

2. Write 3

100 as a decimal.

3. Name this shape.

Week 9

3. y × 700 = 70,000, so y =

4. Simplify 21

24 .

5. Write 9 10 as a decimal.

6. Write the missing angle.

7. The factors of 28 are 1, , , ,

and 28.

8. The price of a new phone is €300 plus 20% VAT.

The total is € .

9. 100, 99, 97, 94, 90, , 79

10.

How many of Box B will fit evenly into Box A?

11. 3 km 7 m = 3 1,000 km = . km

12. Colour to 0 °C on the thermometer.

13. Will a circle and a semicircle

tessellate together?

14. 12 2 =

20 cm

15. 75% off a €12 item = €

16. What is the length of each side of the square?

5 cm

2 cm

48 mm

5 cm

120° 120°

60° ?

5 cm

2 cm

°C

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

4. 16 =

5. The average of these numbers is .

4 9 8 3 6

6. This is a net of a

7. 4 5 kg = g

8. 8 ÷ 1 2 = How many halves in 8 wholes? =

9. 2, 2.9, 3.8, 4.7, , 6.5

10. Order these decimals from smallest to largest.

0.5 1.5 0.55

, ,

11. There are 4 red, 3 green and 3 blue marbles in a bag.

Circle the chance of randomly selecting a red marble

on the chance line.

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

12. 10 4 =

13. 3 4 7 + 5 6 7 =

14. What is the simplified ratio of girls to boys if there are

12 girls and 4 boys?

Review sample

15. 3 4 of 100 kg = kg

16. 3 4 = %

17. A stack of 20c coins = €5.40

How many coins are there?

18. 1 4 of = 2

19. How many fifths in 3? = 3 ÷ 1 5 =

20. 8.9 – 0.9 =

17. This is an

isosceles triangle.

equilateral triangle.

18. 42 is a multiple of 6. True False

19. 6.4 – 0.9 =

20. Perimeter = cm

60°

7 cm

2 cm

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

PROBLEM-SOLVING

FRIDAY REVIEW

Week 9

Monday

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

non-stop journey, what distance has the train

travelled?

2. PIANO MAN

Repaired black and white keys

€300

+ 20% VAT € A

TOTAL € B

Tuesday

Complete the magic squares.

1. 6 2.

9 2

Wednesday

1. It is 10.35 a.m. In twenty minutes time,

the minute hand will have rotated

°.

2. Draw a clock hand, rotated

90° anticlockwise from 2.

Thursday

1. What is the angle shown?

160

170

150

140

4 3

130

120

110

100

1. Write 9 4 as a mixed number.

2. 64 =

3. 1 4 of = 8

4. Write 7 10 as a decimal.

120° 120°

60° c

Angle c = °

6. What is the

perimeter of

this square?

7. 90 , 140 , 640 ,

8. 3 10 + 3

100 = 0.

9. This is a net of a

10. Simplify 15

24 .

, 55,640

11. A stack of 20c = €7.20.

How many coins are there?

12. y × 700 = 70,000,

so y =

65 mm

16. Draw as a 270º rotation

anticlockwise.

17. 5,000 ÷ 500 =

18. Order from smallest

to largest.

1.4 0.04 0.44

, ,

19. Name this 3-D

shape.

20. 3 ÷ 1 4 =

21. The average of the numbers

4, 6, 3, 0 and 2 is

22. Name this 2-D shape.

23. What is the volume

of a sea container

15 m × 4 m × 2 m?

m 3

24. What is the simplified ratio

of girls to boys if there are

20 girls and 5 boys?

Review sample

25. 3 4 kg = g

13. Write 75

100 as a decimal.

2. This trapezium is made up of two scalene triangles.

Angle a = °

Angle b = °

35°

85°

40°

35°

14. 7 5 7 + 4 6 7 =

15. Write 2 2 3 as an improper

fraction.

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

MONDAY

TUESDAY

1. 1 2 = = %

2. 2 ÷ 1 2 =

3. 4 =

4. 4 2 =

5. Write 7 10 as a decimal.

6. 3,000 ÷ 300 =

7. y × 800 = 80,000, so y =

8. Name this 2-D shape.

9. 1 8 = m

10. The perimeter of a regular pentagon with 9-cm sides

= cm.

11. 40 + y = 50 × 2, so y =

12. 10 – 0.93 =

13.

Area of rectangle = cm 2

14. Perimeter of rectangle = cm

15. 1, 1.8, 2.6, 3.4, , 5.0

16. The LCD of 2 10 and 3 8 is .

17.

6 cm

10 cm

How many of Box B will fit evenly into Box A?

18. 11

12 – 3 12 =

19. 0.7 + 0.8 =

3 cm

5 cm

10 cm

20. Complete the number line.

1 cm

5 cm

1 cm

1. 1 4 = . = %

2. Write the missing angle.

3. The radius of a circle is 5.2 cm.

What is the diameter?

4. The factors of 30 are 1, , ,

5. This is a net of a

, , , and 30.

6. Write one hundredth as a decimal.

7. What is the LCD of 2 5 and 1 4 ?

8. What is the simplified ratio of boys to girls

if there are 21 boys and 7 girls?

9. A jar contains 5 green marbles, 4 orange marbles and

11 red marbles. What is the probability of choosing an

orange marble?

10. Record the above probability on the chance line.

11. 3 4 – 1 2 =

12. Double 2.7.

13. Draw as a 180º

rotation clockwise.

14. Write these decimals from smallest to largest.

0.8 0.08 8.8

, ,

15. How many quarters in 2? 2 ÷ 1 4 =

16. 3 4 kg = g

17. Round 23.88 to one decimal place.

100°

110° 110°

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Review sample

Week 10

–3 –2 –1

+1 +2 +3

18. Write the values of a and b on the number line.

– 6 – 4

+2 +4 +6

19. 0.9 + 0.7 =

20. Write 4 1 3 as an improper fraction.

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

WEDNESDAY

THURSDAY

Week 10

1. 1 8 = . = %

2. What is the place value of the 2 in 8.712?

3. 400 ÷ y = 50, so y =

4. 2 ÷ 1 3 =

5. Write these decimals from largest to smallest.

0.01 0.11 0.1

, ,

6. How many days altogether are in March, April and May?

7. 5 – 0.92 =

8. 2 5 kg = g

9. 15% of 100 =

10. 3 5 = %

11. (200 × 10) – (5 × 10) =

12. How many degrees? °

13. Halve 4.9.

14. Circle the prime number.

15. Write 15

100 as a decimal.

5 10 15

16. How many of Box B will fit evenly into Box A?

17. Area of rectangle = cm 2

18. Perimeter of rectangle

10 cm

8 cm

4 cm

2 cm

1. 80% = 5

= 0.

2. 2 ÷ 1 5 =

3. 64 =

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

the wall on the plan in centimetres?

5. Round 12.27 to one decimal place.

6. Simplify 30

40 .

7. Write 2 10 as a decimal.

8. 25% of 8 =

9. 3, 3.7, 4.4, , 5.8

10. The angles in a triangle add up to º.

11. The diameter of a circle is 11 cm. What is the radius?

12. The time is 3.30 p.m. in Ireland and 10.30 a.m. in New

York on the same day. What is the time difference?

13. 2.3 – 0.8 =

14. The factors of 32 are , , ,

, and .

15. This is a net of a .

Review sample

8 cm

2 cm

16. Circle the composite number.

17 23 25

17. 6.50 > 6.051 True False

= cm

18. Adam turned from north to south. He turned °.

19. 10 6 =

20. This is a net of

19. 2 3 = %

20. Write 2 2 3 as an improper fraction.

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Which letter fits on the

blank face of the cube?

B C D

1. 1 4 = . = %

2. 3 4 – 1 2 =

3. 2 ÷ 1 3 =

4. 81 =

5. Write 4 10 as a decimal.

19. The factors of 18 are

1, ,

, ,

and 18.

20. How many degrees?

Week 10

2. Which letter is opposite A?

Tuesday

The tachometer reads the spinning of an engine.

(RPM = revolutions per minute)

1. How many RPM?

2. How many RPM?

Wednesday

CORK 207 KM

50 km ago, a lorry driver passed this sign.

What distance is remaining to Cork?

LITTLE GOLDTOWN 805 KM

The distance between Little Goldtown and Old

Goldtown is

(a)

(b)

(c)

107 km BIG GOLDTOWN

805 km + 107 km.

805 km – 107 km.

107 km + 107 km + 805 km.

Thursday

1. Pirate Pete was given 500 m of rope. He was

instructed to cut the rope into 4 equal lengths.

What will each of the new rope lengths be?

OLD GOLDTOWN

RPM

1x1000

RPM

1x1000

107 KM

6. 25% of 10 =

7. 3.7 – 0.9 =

8. 2 ÷ 1 4 =

9. 0.9 + 0.6 =

10. Write 10 3 as a mixed

number.

11. y × 50 = 3,000,

so y =

12. The diameter of a circle is

15 cm. What is the radius?

13. 2.6, 3.2, 3.8,

14.

10 cm

How many of Box B will fit

evenly into Box A?

15. What is the perimeter of

a regular hexagon with

6-cm sides?

16. Double 3.7.

10 cm

17. What is the LCD

of 2 5 and 3 4 ?

10 cm

2 cm

1 cm 1 cm

21.

This is a net of

22. Order from smallest to

largest.

0.9 0.09 1.9

23. 10

12 – 4 12 =

, ,

24. 1 5 kg = g

Review sample

25. The time is 4.15 p.m. in

Ireland and 11.15 a.m. in

New York on the same day.

What is the time difference?

2. A match started at 2.15 p.m. It finished 2 1 4 hours

later, but Dad stayed chatting to his friends for an

extra half an hour. What time did Dad leave the

stadium?

p.m.

18. Write the

missing

angle.

90°

110° 110°

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

MONDAY

TUESDAY

Week 11

1. Choose the correct number. 300 metres below sea level.

2. 3 2 + 4 2 =

–300 m 300 m

3. The temperature is –3 ºC.

What will it be if it rises by 6 ºC? ºC

4. Write the numeral one hundred and

ten thousand.

5. Jack had €80.00. He spent 60% of it on

football boots. How much money had he left?

€

6. 1

10 = %

7. 2 ÷ 1 4 =

8. Draw lines to match the lines of symmetry.

2 0 4

9. Write 35

100 as a decimal.

10. If there are US$0.90 to €1.00,

how many euro for US$1.80? €

11. 5 ÷ 0.5 =

12. Draw lines to match the angle sizes.

60° 90° 120°

13. 10% of €50.00 = €

14. Can a regular hexagon tessellate? Yes No

15. 6 2 =

16. 1 4 of = 2

17. Draw a net of a cuboid.

18. 2 ÷ 1 3 =

19. Write these fractions from smallest to largest.

, ,

20. Liam selected a cube and kept rolling an even number.

Tick Liam’s cube.

2 4 6

4 2 6

2 4 1

5 4 3

°C

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

1. Circle the smaller number.

145,022 154,020

2. Choose the correct number. 50 metres above sea level.

–50 m 50 m

3. What is the average shoe size of 6, 7 and 5?

4. Order from smallest to largest.

5. 36 =

100% 10% 50%

6. 4, 14, 34, 64,

7. Area = cm 2

, ,

8. Perimeter = cm

9. 2 10 = %

10. b = º

11. Write these decimals from smallest to largest.

4.5 4.05 4.55

12. 1 5 kg = g

, ,

13. What is the angle from north to east?

14. Round 5.26 to one decimal place.

15. The product of two prime numbers is 33.

a × b = 33

a = b =

16. 10 × = 8 × 5

17. 1 ÷ 0.5 =

18. 2 3 + 2 3 =

19. Write the next 3 multiples of 6.

36, , ,

3 c m

6 c m

3 c m

20. What is the simplified ratio of chocolates to jelly sweets

if there are 3 chocolates and 12 jelly sweets?

45°

3 c m

90° b

Review sample

3 c m

6 c m

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

WEDNESDAY

THURSDAY

1. Circle the larger number.

2. 5 2 + 2 2 =

560,040 560,440

3. Write 3 1 3 as an improper fraction.

4. Write the numeral two hundred and two thousand.

5. Area = cm 2

6. Perimeter = cm

7. The cricket team scores 10, 30, 38 and 30.

What is the average?

8. 3 ÷ 1 4 =

9. Write 7 10 as a decimal.

10. Which is the end digit (unit) for 717 × 7?

7 9 4 2

11. Each angle in a rectangle has º.

12. The factors of 21 are , ,

and .

13. 3

10 = %

14. What shape is the sign?

15. Round 2.37 to one decimal place.

16. How many quarters in 4?

2 c m

3 c m

17. A rolled dice has a in chance of

landing on a ‘6’.

18. The product of 2 prime numbers is 14.

2 cm

5 c m

2 cm

House

for sale

4 cm

1. Circle the smaller number.

23,050 203,050

2. The temperature is –4 ºC.

What will it be if it rises by 5 ºC? ºC

3. Draw double the size of this square.

Show the measurements.

4. By how many times has the area of the square increased?

12 4 6

5. Order from largest to smallest.

25% 20% 30%

, ,

6. Write 7 4 as a mixed number.

7. What is the average of these numbers?

4 6 2

8. 80 + y = 140, so y =

9. 25 =

10. What is the angle

from north to south? °

11. Write the missing angle. °

12. Write these decimals from largest to smallest.

2.005 2.5 2.05

13. 5 10 = %

14. 3 5 kg = g

, ,

Review sample

2 c m

15. Round 10.72 to one decimal place.

16. Write these fractions from largest to smallest.

120°

°C

60° 60°

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

Week 11

c × d = 14

c = d =

19. A pair of €50 jeans have 20% off.

What is the new price? €

20. Colour 4 5 .

, ,

17. 2 × = 4 × 4

18. 60 + 40 = 30 + y, so y =

19. 1 3 5 + 1 4 5 =

20. If there are US$0.90 to €1.00, how

many euro would you get for US$9.00? €

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 33

PROBLEM-SOLVING

FRIDAY REVIEW

Week 11

Monday

1. Which letter is missing from the blank face?

2. Which letter is opposite B?

Tuesday

1. Alex had 10 cards numbered from 35 to 44. When

shuffled, what is the chance of choosing an odd

number < 40? Place a blue dot on the chance line.

2. Place a red dot for choosing an even number > 40.

Wednesday

1. Which is not a net of a cube?

2. After 25 laps of the 50-m pool and with 55 laps

to go, Liam had just

m left of his

training programme.

Thursday

1. Luke is shorter than Ethan but taller than Tim.

Order the heights of the boys.

tallest

F B E

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

A B C

2 4 9

+ 3 4

6 0 3

, ,

shortest

1. Circle the larger number.

45,005 45,050

2. 40 + = 130

3. 2 2 + 6 2 =

4. 3 5 + 3 5 = =

5. Round 1.47 to one

decimal place.

6. If there are US$0.90 to

€1.00, how many euro

would you get for

US$1.80?

€

7. 3, 8, 15, 24,

8. 10% of €30.00 =

€

9. Write 1 1 5 as an improper

fraction.

10. 100 =

8 cm

3 cm

4 cm

9 cm

6 cm

11. Area = cm 2

12. Perimeter = cm

13. What 2 prime numbers are

missing?

× = 35

14. Write the numeral three

hundred and thirty

thousand.

4 cm

15. What is the average of the

test scores 8, 5, 9 and 2?

16. What is the angle from

north to east?

17. The temperature is –2 ºC.

What will it be if it rises

by 5 ºC?

ºC

18. Choose the correct number.

A freezer's temperature.

–18 °C 18 °C

19. What is the simplified ratio

of pink sweets to yellow

sweets if there are 5 pink

sweets and 15 yellow

sweets?

20. 2 ÷ 1 5 =

21. 10 × = 20 × 2

22. Which cube has a better

chance of rolling an odd

number?

23. 4 20 = %

24. 49 × 8.

The end digit (unit) will be

25.

4 5 6

1 2 3

Review sample

°C

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

6 8

5 4

2 10

120º 90º

240º 170º

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

MONDAY

TUESDAY

1. 250 g = 1 4 kg = 0. kg

2. Circle the smaller number.

23,900 203,900

1. To measure a pencil you would use

a ruler.

a trundle wheel.

2. 500 g = 1 2 kg = 0. kg

3. The temperature is –5 ºC.

1 0

3. The angles in all quadrilaterals add up to º.

What will it be if it rises by 3 ºC?

-1 0

-2 0

ºC

-3 0

-4 0

4. 0 A 90 B 180 C 270 D 360

-5

4. The time is 10.20 a.m. in Ireland and

3.20 p.m. in India on the same day.

A = B = C = D =

What is the time difference?

5. The angles in all triangles add up to

6. Draw 4 axes of

º.

5. Write 10 3 as a mixed number.

6. Write the numeral one million.

symmetry on this square.

7. 219 × 9.

Which will the end digit (unit) be?

7. What is the simplified ratio of girls to boys if there are

15 boys and 5 girls?

8 1 9 3

8. What is the angle from north to south? N

8. What is the simplified ratio of boys to girls if there are 18

girls and 6 boys?

9. 0.7 = %

10. 4 ÷ 1 S

3 =

9. Plot the coordinates

11. Write 43

100 as a decimal.

of C6, D5, E4 and F3. 3.

12. What kind of irregular shape is the sign?

A B C D E F

10. In a class test, the boys’ top three marks were 80%, 70%

13. Order from smallest to largest.

20% 2% 45%

and 60%. What was the average score? %

, ,

11. 5 + c = 3 × 5, so c =

12. 62 – 42 =

14. A farm is 5 ha in size. It is 1,000 m by m.

13. 1 hectare (ha) = m 2

15. 64 =

14. 0.4 =

15. 5 ÷ 1 2 =

16. 20% of €80 = €

17. Round 5.89 to one decimal place.

16. Change 17 5 to a mixed number.

18. 18:00 hours = a.m./p.m.

17.

8 m

19. Circle the prime number.

10 13 16

4 m

Area = m 2

20. Make the largest number possible from these digits.

4 m

4 8 5 1 0 9

2 m

3 m

5 m

°C

5 0

4 0

3 0

2 0

Review sample

Week 12

18. Perimeter = m

19. 81 =

20. A farm is 400 m by 500 m. Its area equals

hectares.

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 35

WEDNESDAY

THURSDAY

Week 12

1. 750 g = 3 4 kg = 0. kg

2. If there are US$0.90 to €1.00, how many euro would you

get for US$4.50?

€

3. 3, 5, 8, 12, , 23

4. Circle the larger number. 603,020 630,020

5. a = º

6. % = 0.9

7. 2 ha = m 2

8. What shape does this net make?

9. The average of these numbers is .

6 8 10 12

10. What angle is a? °

11. 5 2 – 3 2 =

12. 419 × 37.

The end digit (unit) will be

6. 8. 3. 4.

13. 47 × 37 = odd or even?

14. Order from largest to smallest.

7% 77% 70%

, ,

15. A school used 15,000 of water in a school week.

16.

How many litres per school day?

If you rotate the triangle 180° clockwise, which

is its new position?

17. 80 + 40 = 60 × y, so y =

18. What is the simplified ratio of apples to pears if there

are 10 apples and 12 pears?

70°

a 70°

110°

1. 200 g = 1 5 kg = 0. kg

2. Draw double the size of

this rectangle and

write the measurements.

3. By how many times has the area increased?

2 4 6

4. The temperature is –3 ºC.

What will it be if it rises by 3 ºC? ºC

5. Parts of Australia are 8 hours ahead of GMT.

If it is 9.15 a.m. in London, what time is it

in Australia?

6. Write the numeral one million and ten.

7. b = º

8. Draw one diagonal line of symmetry

on this pentagon.

9. The average of these numbers is .

9 11 13 11

10. If there are US$0.90 to €1.00, how

many euro would you get for US$18.00? €

11. 48 × 39 = odd or even?

12. 8 2 – 2 2 =

13. What angle is a? º

14.

If you rotate the triangle 90° clockwise, which is its new

position?

2 m

15. Area = m 2

16. Perimeter = m

17. The product of 2 prime numbers is 26.

a × b = 26 a = b =

18. 10 4 =

1 cm

2 cm

50° 40°

2 m

a 60°

Review sample

3 m

2 m

°C

2 m

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

6 m

19. Round 6.08 to one decimal place.

19. 6 3 5 + 2 2 5 =

20. 6 × = 3 × 8

20. Which is the scale of a house plan if a wall

is shown as 15 cm but is actually 15 m?

1:10 1:100 1:1,000 100:1

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. What is the diameter of this cylinder-shaped bin?

100 mm

1 metre

2. If the bin is 2 3 of the height of the pole,

find its height.

Tuesday

1. A car consumes 5 litres of fuel per 100 km.

How far can it travel with 25 litres of fuel?

2. Which angles are

obtuse?

acute?

1,800 mm

and

Wednesday

1. Colour 1 3 red and 1 4 blue.

2. What fraction is not coloured?

Spinach

biscuits

250 g

Thursday

NEW

200 mm

1. What is the weight of the new pack? g

2. The new pack is priced at €1.25.

How many packs can you buy with €5?

Spinach

biscuits

20% more

1. 400 g = 2 5 kg =

0. kg

2. What is the average of

10 12 8 10?

3. A field has an area of 2

hectares. Its length is

4,000 m. Its width is

4. Draw a net of a

tetrahedron.

5. Parts of Australia are 8

hours ahead of GMT. If it is

8.15 a.m. in London, what

time is it in Australia?

6. 10 2 – 5 2 =

7. Write 3 2 3 as an improper

fraction.

8. 0.3 = %

9. 9, 18, 27, 36

Rule =

10. 20% of €70.00 =

€

11. 29 × 64 = odd or even?

12. 6 ÷ 1 2 =

13. A school uses 18,000 litres

of water in 3 days. What is

the average usage per day?

14.

Imagine the triangle

has been rotated 270°

clockwise. Circle its new

position.

15. The angles in a triangle add

up to

16. 10 5 =

º.

17. Circle the smaller number.

507,025 57,025

18. 36 =

19. Write 25

100 as a decimal.

20. Insert the correct sign

(, =).

(88 ÷ 11) ( 2 3 of 21)

4 m

1 m

2 m

21. Area = m 2

22. Perimeter = m

23. Double the rectangle and

label the measurements.

24. Draw the axes of symmetry

on this pentagon.

Review sample

3 cm

2 cm

25. The temperature

is –4 ºC. What

will it be if it

rises by 3 ºC?

ºC

1 m

°C

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

Week 12

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 37

MONDAY

TUESDAY

Week 13

1. 600 g = 3 5 kg = 0. kg

2. List the possible outcomes of tossing a coin.

and

3. 100 × a = 1,000, so a =

4. Circle the smaller number.

1. 333 g = 1 3 kg = 0. kg

2. If a car travels 6 km in 10 minutes, how far can it travel

in 1 hour? km

3. 2 3 + y = 1, so y =

4. Round 5.534 to two decimal places.

120,250 102,255

5. Round 6.073 to 2 decimal places.

6. 45, 35, 25, 15 Rule =

7. 1% = 0.01 = 100

8. 0.07, 0.08, 0.09,

9. Colour 2 10 in blue.

10. If a car is travelling at 60 km/h, how far does it travel

in 15 minutes?

11. 25 hundreds, 250 tens and 50 units is equal to

12. Write 2 3 4 as an improper fraction.

13. 9 =

14. To measure the playground you would use a

ruler.

trundle wheel.

15. 8.08 > 8.1 True False

16. A standard house plan is written in mm and the scale is

generally 1 mm = 100 mm or 1:100. How long is a wall in

mm if it measures 50 mm on the plan?

1st Class Number of Teeth Lost in 2 Months

17. 32 pupils were surveyed.

How many had not lost teeth?

18. What fraction lost 4 teeth?

5. Write the numeral one hundred and eleven thousand

and eleven.

6. The temperature is –2 ºC. What will it be

if it rises by 5 ºC?

ºC

7. 2% = 0.02 = 100

Rotate the cone on its axis clockwise 90°

and draw the new position.

9. 200 m + 1 4 + m =1

10. The diameter of this circle is cm.

11. 6, 12, 18, 24 Rule =

12. Write 16 3 as a mixed number.

13. –2 < 1 True False

14. 3 ÷ 1 3 =

15. Draw a net of a triangular prism.

16. Order from smallest to largest.

Review sample

75% 57% 7%

, ,

17. 8 20 = 100 = %

18. 10 5 =

°C

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

5 c m

19. What percentage of the class lost 1 tooth?

20. 3 8 of the class lost teeth.

19. If the scale is 1:100 on a plan, and a fence is 7,500 mm,

how many millimetres will it measure on the plan?

20. What number?

15 ten thousands, 10 thousands and 500 tens

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

WEDNESDAY

THURSDAY

1. 800 g = 4 5 kg = 0. kg

2. If there are US$0.90 to €1.00, how many euro

for US$2.70?

€

3. 40% of €400.00 = €

4. Round 7.239 to two decimal places =

5. The angles in all quadrilaterals add up to °.

6. 9 2 + 2 2 =

7. y = °

8. Write 5 1 2 as an improper fraction.

9. Solve 72 × 29 using your knowledge of odd

and even numbers.

2,809 2,803 2,088 2,801

10. Area = cm 2

11. Perimeter = cm

12. 4 =

13. Parts of the USA are 6 hours behind GMT. If it is 4.20 p.m.

in London, what time is it in the USA?

14. y + 6 10 = 1, so y =

15. 7

100 + 7 10 = 0.

16.

Rotate the triangle 90º anticlockwise. Draw the

new position.

17. 4 ÷ 1 4 =

18. If a car travels 8 km in 10 minutes, how far can it travel

in 1 hour?

6th Class’s Favourite Ice Cream Flavours

19. How many liked vanilla?

40°

1. Round 4.075 to 2 decimal places.

2. List the possible outcomes of rolling a dice.

, , , , and

3. Circle the largest number.

750,050 750,005 750,550 750,505

4. What is the diameter

of this circle?

5. 10 2 + y = 30 2 , so y =

6. Simplify 12

15 .

7. 9

100 = 0.09 = %

8. Draw the 6 axes of symmetry on

this hexagon.

9. 2.5, 5, 7.5, 10 Rule =

10. 6 2 – 5 2 =

11. 64 × 29 = 1,856 1,858 1,853 1,852

12. –5 > 3 True False

13. How many eighths in 2?

14. Draw a net of a

square-based pyramid.

15. What is the simplified ratio of pens to pencils if there are

12 pens and 8 pencils?

Review sample

Lemon

16. 1 2 > 1 3 True False

17. 8 2 =

18. If a car travels 10 km in 6 minutes, how far can it

travel in 1 hour?

19. Write the numeral one million, one thousand and one.

Week 13

20. What percentage liked mint?

Vanilla

Mint

Choc

20. A house plan scale is 1:100. A room measures 30 mm

by 40 mm on the plan. How many square metres is the

room?

m 2

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 39

PROBLEM-SOLVING

FRIDAY REVIEW

Week 13

Monday

1. Peter thought of a number. He added 10 and

doubled it. His answer was 24.

What number did Peter think of?

2. Niamh thought of a number. She divided it by 3,

multiplied it by 4 and added 50. Her answer was 62.

What number did Niamh think of?

1. Which number will

be on the top face?

2. Which number will be

on the blank face?

How many cupfuls?

Tuesday

Wednesday

1. 2.

Thursday

1. A safe holds 20 × €100, 50 × €50

and 250 × €20.

The total amount is € .

2. Alex halved an amount of money, multiplied it by 3

and added 10. The answer was €100. What amount

of money did he start with?

€

1 4

2 5

3 6

100 m 250 m

1. 750 g = 3 4 kg =

0. kg

2. Write 2 3 5 as an improper

fraction.

6th Class Favourite Pets

32 pupils were surveyed.

3. How many liked

dogs?

cats?

4. Simplify 14

20 .

5. Circle the smaller number.

505,025 505,250

6. 0.3, 0.6, 0.9, 1.2

Rule =

7. 100 =

8. 8% = 8

100 = 0.

9. 2

100 + 2 10 = 0.

10. Write the numeral five

hundred and five thousand

and fifty-five.

11. Diameter of a circle with a

radius of 3 cm

= cm

12. If there are US$0.90

to €1.00, how many

euro would you get for

US$2.70?

€

Birds

Fish

Cats

Dogs

14. Parts of the USA are 6 hours

behind GMT. If it is 3.35 p.m.

in London, what time is it in

the USA?

15. The temperature

is –4 ºC. What will

it be if it rises

by 7 ºC?

16.

ºC

Draw the axes of symmetry

on this octagon.

17. 3 4 of = 12

18. Write 17 3 as a mixed number.

19. 2.02 < 2.1

True

False

20. Round 4.072 to 2 decimal

places.

21. A house plan scale is 1:100

and a room measures 2,000

mm by 4,000 mm. How

many square metres is the

room?

Review sample

m 2

22. 35 hundreds, 35 tens and

35 units =

23. How many quarters in 5?

24.

°C

5 0

4 0

3 0

2 0

1 0

0 0

-1 0

-2 0

-3 0

-4 0

-5 0

13. If a car travels 5 km in 10

minutes, how far can it

travel in an hour?

Colour 4 10 in blue.

25. 5 ÷ 1 2 =

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

MONDAY

TUESDAY

1. 1.5 + 2.5 =

2. 2 1 2 + y = 3, so y =

1. 3.25 + 4.5 =

2. A room measures 2,000 mm by 3,500 mm and the plan

shows a scale of 1:100. On paper, it measures 20 mm by

mm.

Week 14

Rotate the triangle 270° clockwise.

Draw the new position.

4. 2 4 5 kg = g

5. 0.25 + 0.75 =

6. Round 2.375 to one decimal place.

7. Area = cm 2

8. Perimeter = cm

9. What is the simplified ratio of blue cars to white cars if

there are 100 blue and 300 white cars?

10. Order from lowest to highest.

50% of 60 25% of 100 60% of 40

11. 233 m = 233

1,000 km = 0. km

12. 9 2 3 + 9 2 3 =

13. 81, 72, 63, 54 Rule =

14. 0 > –2 True False

15. Double 1 4 .

16. Draw lines to match the units for each answer.

91 × 9 3

36 × 9 9

47 × 9 4

17. 36 =

18. What is the radius of this circle?

2 c m

1 c m 1 c m

1 c m

3 c m

19. France is 1 hour ahead of GMT. If it is 11.10 a.m. in

London, what time is it in France?

2 c m

3. 1 2 < 1 5 True False

4. 20 30 50 20

The average is .

5. List the possible outcomes of a 2 coin toss.

, , ,

6. Circle the larger. 10% of 80 5% of 100

7. 505 m = 505

1,000 km = 0. km

8. If you rotate the triangle 90° anticlockwise, which is

the new position?

9. Round 9.539 to two decimal places.

10. Draw the axis of symmetry on the trapezium.

11. If there are ¥116 to €1.00, how

many euro would you get for ¥232? €

12. Draw lines to match the solutions.

91 × 9 423

36 × 9 819

47 × 9 324

13. 11

100 = 0.11 = %

14. Write 20

100 as a decimal.

15. What is the volume of a fish tank

5 m long by 3 m wide by 4 m high? m 3

16. Order from smallest to largest.

17. Halve 1 4 .

90% 9% 99%

, ,

18. Write the numeral four million, four hundred

and thirty-two thousand and thirty-two.

A B C

Review sample

19 cm

3 m

5 m

4 m

20. If there are ¥116 to €1.00, how many euro would

you get for ¥580?

€

19. 6 1 2 + y = 7, so y =

20. If a car travels 9 km in 10 minutes, how far can it travel

in 1 hour?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 41

WEDNESDAY

THURSDAY

Week 14

1. 6.3 + 2.1 =

2. Circle the smaller.

10% of 70 20% of 50

15%

VOLCANOES

WAS

€20

1. 8.75 + 10.75 =

2. If a car travels 12 km in 10 minutes, how far can it

travel in 1 hour?

3. Parts of Africa are 2 hours ahead of GMT. If it is

10.30 p.m. in London, what time is it in Africa?

€ NOW 4. 0.01 > 0.0009 True False

5. Area = m 2

4. 925 m = 925

1,000 km = 0. km

6. Perimeter = m

4 m

5. Draw another rectangle

8 m

3 m

with the measurements

reduced by one half. (1:2)

6 m

7. 15% of €40.00 = €

8. 3 303 m = .

6. By how many times has the area been reduced?

9. Circle the smaller.

4 1 8

20% of 10 1% of 100

7. 1.5, 3.5, 5.5, 7.5 Rule =

10. Draw the rectangle 3 m

8. y = °

double the size

2 m

y 100°

(2:1). Label the

measurements.

9. Round 12.079 to two decimal places.

11. By how many times has the area increased?

10. Draw lines to match the solutions.

(Look at the units to help.)

12. –4 < 0 True False

140 × 7 1,218

13. 0.04 = 4

100 = %

174 × 7 980

153 × 7 1,071

14. 870 m = 870

1,000 km = 0. km

11. 3 ÷ 1 4 =

12. 10 2 – 8 2 =

15. Write the numeral ten million.

13. What is the length of

6.5 cm 16. 3.45 + 2 1 2 =

one side of the square?

14. y × 10 = 5, so y =

17. 2 6 =

18. 6 ÷ 1 4 =

15. 100% = 100

100 =

Favourite Sauces

Review sample

3 m

1 m

3 m

4 m

5 m

16. A room measures 5,000 mm by 6,800 mm.

A plan has a scale of 1:100. On paper it will measure

Chilli

Boys

50 mm by mm.

Garlic

Girls

17. Simplify 20

24 .

18. Angle a = °

110°

90°

Tomato

0 1 2 3 4 5 6 7

19. 2 4 =

19. How many children were surveyed?

20. –5 > –3 True False

50°

20. The least favourite sauce of boys and girls is

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Write the numbers 5, 2, 3 and 1 on the blank

spinner, so that

• 5 has a 0.5 chance.

• 2 and 3 are both 1 8 likely.

• 1 has a 25% chance.

X = Y = Z =

Tuesday

1. We know a straight angle is 180°. Solve the size of

Angle y.

y = °

2. Which diagram is the top view?

Wednesday

1. Four school taps were each leaking at one quarter

of a litre every hour. From 6 a.m. to 6 p.m., how

much water was lost?

2. How much water would be lost in 10 days?

Thursday

1. The difference is 3, the product is 54 and the

sum is 15. The numbers are

W =

X Y

Y Z Z

W W W

1 , 0 0 8

and .

45°

1. 4.25 + 2.5 =

2. If there are ¥116 to €1.00,

how many euro would you

get for ¥580?

€

3. 3 5 kg = 0.6 kg = g

4. Circle the larger.

5% of 40 20% of 50

5. Draw double the size of this

rectangle. Label the new

measurements.

10 mm

6. By how many times has the

area increased?

7. The average of 6, 11, 12

and 15 is

8. 250 , 1,000 , 4,000 ,

16,000 ,

9. 15% of €30.00 =

€

10. 345 m = 345

1,000 km =

0. km

11. 2 5 =

8 mm

12. 8.2, 8, 7.8, 7.6

Rule =

13. 1 2 – 1 4 =

14. y = °

15. A room measures 4,000

mm by 5,500 mm and the

plan has a scale of 1:100.

On paper, using the scale,

it measures

40 mm by mm.

16. Round 10.298 to two

decimal places.

17.

Draw the axis of symmetry

on the isosceles triangle.

18. Double 1 4 .

19.

20.

The perimeter of the

square is

cm.

What is the volume of the

fish tank? m 3

21. There are 3 fish per cubic

metre. How many fish are

there?

22. Halve 1 2 .

23. Parts of Africa are 2 hours

ahead of GMT. If it is 11.15

p.m. in London, what time is

it in Africa?

24.

11 cm

Review sample

105°

3 m

5 m

At 11 km in 10 minutes,

what distance is covered

in an hour?

25. Use your knowledge of

units to match these.

147 × 7 1,043

149 × 7 1,015

145 × 7 1,029

2 m

Week 14

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 43

MONDAY

TUESDAY

Week 15

1. 2.05 + 6.7 =

2. 0.5 = 1 2 True False

3. Write the coordinates.

A B

C D

C B

1 2 3 4 5 6 7

1. 4.25 + 6.15 =

2. Draw this shape double the

size and label the new

measurements.

2 m

4 m 2 m

2 m

4 m

4. Parts of South America are 4 hours behind GMT. If it

is 2 a.m. in London, what time is it in South America?

5. Orla scored 9 10 in a spelling

test. Write this as a percentage. %

6. Change 10 3 7 to an improper fraction.

7. What is the value of the 2 in 7.002?

If you rotate the triangle 270°

clockwise, which will be the new position?

1 2 3 4

9. Outcomes of H H T T H T T H

a 2 Coin Toss

0 0.25 0.50 0.75 1.0

The chance of 2 tails is .

The chance of a head and a tail is .

10. 3.2 – 0.3 =

11. A farm is 400 m by 500 m.

What area is it? m 2

12. y = °

13. 37

10 + 25

10 =

14. Double 2.7.

15. 1, 1.8, 2.6, 3.4,

16. 820 m = 820

1,000 km = 0. km

17. 25 × 17 × 4 =

A B C

18. Which set shows multiples of 4 and 6?

8,12,16 12, 24, 30 12, 24, 36 12, 24, 28

19. Which is better value for money?

500 g coffee for €2.50

1 kg coffee for €4.50

20. 100, 81, 64, 49 Rule =

0 1

45 °

3. 2 – y = 1 1 3 , so y =

4. Circle the larger.

50% of 24 10% of 100

5. 10 15 = 25

6. 25% of €40.00 = €

7. Which is the better value for money?

€50 jeans with 75% off

€30 jeans with 30% off

8. If there are ¥116 to €1.00, how many euro would

you get for ¥1,160?

€

9. 80 × 9 = 720, 79 × 9 =

10. 10 6 =

11. 16 =

12. Halve 3.8.

13. Round 18.795 to two decimal places.

14. A house plan has a scale of 1:100. A wall measures

110 mm on the plan. What is the actual length of

the wall?

15. 8.3 – 0.5 =

Review sample

16. Write the numeral ten million, one hundred

and one thousand.

17. Which equals 3,000 g?

10% of 30 kg

50% of 6 g

18. Draw a line of symmetry on the oval.

19. 15% = 0.

20. A car is travelling at 100 km/h. How far can it travel

in 30 minutes?

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

WEDNESDAY

THURSDAY

1. Which is coldest?

0 °C 2 °C –1 °C

2. Round 2.349 to 2 decimal places.

3. Vanessa scored 6 10 in a maths test.

Write this as a percentage. %

1. 3 > –5 True False

2. Circle the smaller.

2% of 50 5% of 100

a 145°

Week 15

4. 575 m = 575

1,000 km = 0. km

a = °

5. Draw this shape at half

size and write the new

measurements on

2 m

all sides.

6. The LCD of 1 4 and 3 10 is .

7. 1 ha = m 2

8. It is 10.15 p.m. in Ireland and 11.15 p.m. in France.

What is the time difference?

9. 80 45 = 35

10. 3.3, 6.6, 9.9 Rule =

11. 49 =

12. The scale is 1:100. A house plan shows a wall measuring

200 mm on the plan. What is the actual length in metres?

13. 1 4 of = 5

14. Order from smallest to largest.

45% 4.5% 54%

15.

, ,

Rotate the rectangle 180° clockwise.

Draw the new position.

16. Area = m 2

17. Perimeter = m

18. 29

100 = %

19. A farm is 800 m by 500 m. What area is it?

20. 8.9 – 0.9 =

m 2

4 m

6 m

8 m

4. 1, 4, 9, , 25, 49, , 81

5. 905 m = 905

1,000 km = 0. km

6. Simplify 15

20 .

7. Use multiples of 6.

8. 45 9 = 5

9. Which is better value for money?

4 kg apples for €1.20

2 kg apples for €2.50

10. Write 17 2 as a mixed number.

11. If there are US$0.90 to €1.00, how many euro would you

get for US$6.30?

€

12. Round 10.054 to two decimal places.

13. Draw a net of

a triangular prism.

14. How many fifths in 8?

Review sample

1 m

2 m

8 m

1 m

3 m 3 m

1 m

Before

15. A car is travelling at 100 km/h. How far can it travel

in 3 4 of an hour?

16. 4 ÷ 1 5 =

17. 25% of €100.00 = €

18. 1 3 of = 6

19. 10 2 + 5 2 =

After

20. Has the letter T got a vertical or horizontal

line of symmetry?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 45

PROBLEM-SOLVING

FRIDAY REVIEW

Week 15

Monday

Restring guitar €30

New strings €10

+ 20% VAT € A

TOTAL € B

2. A new phone was advertised at €300 excluding

20% VAT. What will be the actual cost? €

Tuesday

1. A car consumes 7 litres of fuel per 100 km. How far

can it travel with 28 litres of fuel?

2. The pages in a book are numbered 1 to 112.

How many pages have the digit 1?

Wednesday

A landscape architect drew a plan for a garden.

1. What percentage of the garden is paved?

2. What percentage of the garden has seating?

Thursday

1. What fraction of the area has flowers?

= 25 m 2

= seating

= flowers

= paving

1. 2.25 + 3.4 =

2. Diameter of a circle with a

radius of 10 cm

= cm

3. Mark scored 8 10 in a

maths test. Write this as a

percentage.

4. 620 m = 620

1,000 km =

0. km

5. 24 2 = 12

6. What are the 4 outcomes of

a 2-coin toss?

(a)

(c)

7. 3 6 10 + 2 7 10 =

(b)

(d)

8. 25% of €40.00 =

€

9. 49 × 25 × 4 =

10. The time is 10.15 a.m. in

Ireland and 11.15 a.m. in

France. What is the time

difference?

11. Which is better value for

money?

250 g sugar for €1.40

750 g sugar for €4.50

12. Draw this shape double

the size and label the new

measurements.

13. Circle the larger.

10% of 90 20% of 50

14. Write 2 3 9 as an improper

fraction.

15.

y = °

16. A farm is 400 m by 900 m.

What is the area?

17. 81 =

18. 15% = 0.

19.

m 2

Rotate the rectangle 180°

clockwise. Draw the new

position.

20. Which is coldest?

–3 °C 5 °C 0 °C

21.

Draw the axes of symmetry

on the hexagon.

22. If there are ¥116 to €1.00,

how many euro would you

get for ¥1,160?

Review sample

5 m

10 m

5 m

10 m

€

23. Halve 5.8.

24. At 100 km/h, how far in 15

minutes?

25. 6 ÷ 1 3 =

125º

2. At €25 per square metre, how much did it cost to

sow the flower seeds?

€

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

MONDAY

TUESDAY

1. 8.65 – 2.14 =

2. 2.02 > 2.1 True False

3. Kate scored 5 10 in a multiplication test.

Write this as a percentage.

4. 9.3 – 0.9 =

5. What is the average of 15, 30, 15 and 20?

6. The LCD of 1 4 and 3 5 =

7. 755 m = 755

1,000 km = 0. km

8. Rotate the rectangle 90° clockwise.

Draw the new position.

9. 6 8 = 14

10. Which is better value for money?

250 g of grapes for €2.00

200 g of grapes for €1.50

11. y × 3 = 3 5 , so y =

12. Draw lines to match the total degrees to each shape.

540° 180° 360°

13. Circle the larger.

20% of 50 25% of 60

14. 12,500 – 6,500 = a, so a =

15. Write 16 3 as a mixed number.

16. Simplify 50

100 .

17. Draw the axes of symmetry

on the equilateral triangle.

18. 2 ÷ 1 5 =

19. What is the simplified ratio of Cork football fans to

Waterford fans if there are 1,000 Cork fans and 200

Waterford fans?

1. 7.25 – 3.02 =

2. 2.3 + 0.8 =

3. 4 7 = 28

4. Write 3 2 3 as an improper fraction.

5. 10% of 100 =

6. 25 =

7. The LCD of 2 3 and 1 6 =

8. Write 30

100 as a decimal.

9. 4 × 9 = 6 2 True False

10. a = °

11. Draw lines to match the total degrees to each shape.

12. 5 2 + 6 2 =

360° 540° 720°

13. Circle the largest.

110,055 110,050 110,000

14. If you double the size of this rectangle,

by how many times has the area increased?

15. 19

100 + 2 10 = 0.

16. Write the prime numbers from 1 to 20.

, , , ,

Review sample

, , and

17. How many minutes until Watch A changes to Watch B?

minutes

18. 5 × = 10 × 3

19. 25 =

5 cm

20. A car is travelling at 50 km/h. How far can it travel

in 30 minutes?

25°

3 cm

8:08 9:00

Week 16

20. If there are US$0.90 to €1.00, how many euro would you

get for US$7.20 ?

€

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 47

WEDNESDAY

THURSDAY

Week 16

1. 4 ÷ 1 2 =

2. Simplify 14

18 .

3. 5.05 + 2.91 =

4. 0.99 = %

5. Draw as a 270º

rotation anticlockwise.

6. 950 m = 950

1,000 km = 0. km

7. 20 3 = 17

8. 8 = y + 6 1 2 , so y =

9. What is the probability of choosing a red marble from a

jar if there are 15 blue, 10 red and 25 green marbles?

in , or %

10. Round 25.093 to two decimal places.

11. Draw the axis of symmetry on the trapezium.

12. 3 ÷ 1 4 =

13. The difference is

minutes.

2:09 3:00

14. Write the numeral ten million and ten.

15. –4 < 0 True False

16. What is the simplified ratio of pens to pencils if there are

10 pens and 15 pencils?

17. Place value of the 9 in 904,711 is

18. What is the area of this floor?

m 2

19. Write 18 8 as a mixed number.

1. 6 ÷ 1 2 =

2. James scored 10

10 in a spelling test.

Write this as a percentage. %

3. Which is better value for money?

750 g of flour for 90c

500 g of flour for 75c

4. 306 ÷ 10 = r or

5. Circle the larger.

75% of 60 50% of 80

6. Round 0.143 to 2 decimal places.

7. 1.22 = %

8. 0, 1, 1, 2, 3, 5, 8, 13,

9. 4 × 36 × 25 =

10. 20,000 ÷ 2,000 =

11. Which set equals 40?

2 + 3 × 8

10 + 3 × 10

5 + 3 × 5

12. 6 3 4 + 3 3 4 =

13. 25,000 + 75,000 =

14.

Rotate the cylinder 270° clockwise.

Draw the new position.

15. 2.75 + 5.03 =

Review sample

8 m

Kitchen

4 m

16. 18 3 = 6

17. 3 ÷ 1 2 =

18. Choose the correct number. Dad's bank account only had

€100. He had to pay a bill for €300.

20. 60% of €110.00 = €

19. 6 × = 9 × 4

– €200 €200

20. A fast red car is travelling at 90 km/h.

How far can it travel in 20 minutes?

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. What is the area of the dark orange section?

m 2

2. What is the difference in area between the

2 squares?

m 2

Tuesday

1. A washing machine uses 200 litres for a wash cycle.

In a week, this machine was used on Monday,

Tuesday and Thursday. Two cycles were used on

Saturday. How much water was used?

litres

2. What is the difference in area between the

2 shapes?

1. Decimal =

m 2

9 m

12 m

Wednesday

5 m

3 m

What is the chance of 2 heads?

1 2 3 4

H H T T H T T H

0 0.25 0.50 0.75 1.0

0 1

4 m

1. If there are US$0.90 to

€1.00, how many euro

would you get for US$7.20?

€

2. 9.58 – 2.05 =

3. 7 3 4 + 2 3 4 =

The time 2 3 of an hour

before was

5. Which set equals 30?

10 + 2 × 10

3 + 3 × 5

6. The LCD of 1 2 and 1 3 is

7. Eilish scored 7 10 in

a spelling test. Write this

as a percentage.

8. 249 m = 249

1,000 km =

0. km

9. The place value of the 3

in 371,929 is

10. 6 6 = 36

11. 5.1, 10.2, 15.3

Rule =

12. 70% of €90.00?

€

12:07

15. Parts of South America are

4 hours behind GMT. If it is

3.15 a.m. in London, what

time is it in South America?

16. Circle the larger.

20% of 40

25% of 36

17. Write 19 4 as a mixed number.

18. 2 6 =

19. Draw a 270º rotation

clockwise.

20. 5 ÷ 1 2 =

21.

a = °

22. 14

100 + 1 10 = 0.

23. Draw lines to match the

total degrees to the shapes.

360°

180°

540°

50°

Review sample

24. Round 0.153 to 2 decimal

places.

Week 16

2. Fraction =

Thursday

What is the chance of a head and a tail?

1. Decimal =

2. Fraction =

13. –2 < 0 True False

14. Which is better value for

money?

800 g sugar for €1.20

1 kg sugar for €1.40

25. There are 2,000 dance

studios to 200 music

studios. What is the

simplified ratio of dance

to music studios?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 49

MONDAY

TUESDAY

Week 17

1. Use × and +.

5 1 6 = 11

2. The LCD of 3 4 and 2 3 is .

3. 4 + – 8 =

1. Use × and +.

8 1 7 = 15

2. 9 18 = 27

3. 31 7 = (mixed number)

4. 0.5 × 0.5 =

4. 7 ÷ 1 2 =

5. y + 2 = 2 3 5 , so y =

6. Sarah scored 75% in a piano exam.

Write this as a decimal.

7. 9.6 – 0.9 =

8. Rotate the rectangle 450° clockwise.

Draw the new position.

9. 545 m = 545

1,000 km = 0. km

10. 12 3 = 36

11. Round 7.37 to one decimal place.

12. 135

100 = 1.35 = %

13. Which is better value for money?

€40 shirt with 25% off

€50 shirt with 30% off

14. What is the probability of choosing a month beginning

with J from a hat?

15. Write the numeral one million and eleven.

16. 98, 94, 90, 86 Rule =

17. Circle the larger.

5. Write 500

1,000 as a decimal.

6. Draw a net of

a square-based

pyramid.

7. 4 2 7 + y = 5, so y =

8. If you measure the length of a fence as 8 m and draw

it on a plan with a scale of 1:100, what will be its length

on the plan?

9. Circle the larger.

2,053,000 2,052,900

10. 2.02 = %

11. 2, 6, 18, 54, , 486

12. Which set shows multiples of 6 and 8?

30, 36, 40

24, 48, 72

24, 36, 48

13. Colour to show 3 4 .

14. If a clock shows 3 o’clock, what is the size of the inside

angle between the hands?

Review sample

15. If you halve the measurements of

this shape, how many times will the

new shape fit into this shape?

8 cm

2 cm

18. 10 ÷ 1 5 =

10% of 70 50% of 16

19. If a car takes 10 minutes to travel 10 km, how fast

is it going?

km/h

20. Which 3-D shape has 5 faces, 8 edges and 5 vertices?

16. 6 + – 3 =

17. 0.2 × 0.5 =

18. Draw the axis of symmetry on this

isosceles triangle.

19. 25% of 120 =

20. 12 × = 8 × 3

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

WEDNESDAY

THURSDAY

1. Use × and –.

6 3 1 = 3

2. The following are shoe sizes of basketball players.

12 11 13 14 10

1. Use ÷ and +.

15 5 5 = 8

2. David scored 89% in a maths test.

Write this as a decimal.

Week 17

What is the average?

3. Circle the prime number.

3. 7 + – 6 =

4 7 9

4. 0.3 × 0.4 =

5. 983 m = 983

1,000 km = 0. km

6. 64 8 = 8

7. 80, 65, 50, 35 Rule =

Rotate the rectangle 270° anticlockwise.

Draw the new position.

9. Simplify 20

30 .

10. y × 50 = 25, so y =

11. Circle the larger. 90% of 90 80% of 100

12. Draw a 90º rotation anticlockwise.

13. 81

10 =

14. Write 750

1,000 as a decimal.

15. 1, 5, 25, , 625

16. a = °

17. 0.97, 0.98, 0.99,

55°

4. 8.2 – 0.8 =

5. 9 3 4 + 1 2 =

6. 9.2 1.2 = 8

7. Which is better value for money?

€800 table with 50% off

€600 table with 30% off

8. 500, 50, 5,

9. 9 2 =

10. Write the coordinates for

, B

and C .

11. 5 + – 7 =

12. 9 ÷ 1 3 =

13. Circle the largest.

2,053,893 2,005,999 2,051,010

14. 5 × = 10 × 3

15. If your new car travels 8 km in 10 minutes, how fast

is it going?

16. 3 × = 18 ÷ 3

km/h

17. Which 3-D shape has 5 faces, 9 edges and 6 vertices?

1 2 3 4 5

Review sample

18. Write the numeral one hundred and eleven

thousand and ten.

19. Write 25 4 as a mixed number.

20.

What equivalent fractions are at

a? b?

0 a b

6 1

18. 0.7 × 0.3 =

19. Write 5 2 5 as an improper fraction.

20. How many of Box B will fit evenly into Box A?

2 cm

4 cm 2 cm

1 cm

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 51

PROBLEM-SOLVING

FRIDAY REVIEW

Week 17

Monday

= 3 days = 1 day

March and April – Days of Rainfall

Dublin

Cork

Wexford

1. How many more days of rainfall had Wexford

than Cork?

1. Use × and +.

9 (5 2) = 19

2. y + 28 7 = 5,

so y =

3. 3.04 = %

4. 4, 12, 36, , 324

15. Draw a 90º rotation

clockwise.

16. 20 25 = 45

17.

2. How many fewer days of rainfall did Cork have

than Dublin?

Tuesday

1. Lynn said, "A square-based pyramid has 5 faces,

9 edges and 6 vertices." She was mistaken.

What 3-D shape did she describe?

2. What 2-D shape's angles add up to 720°?

Wednesday

6TH CLASS

Library Books Borrowed

February 301

March 12

April 247

Total?

2. The total of the previous 3 months was 10% more

than this quarterly period. How many books were

borrowed in the previous quarter?

Thursday

1. A pizza restaurant makes 200 pizzas every day.

125 g of cheese is added to each pizza. How many

kilograms of cheese is used in a day?

5. 25% of €200.00 =

€

6. 6 + – 3 =

7. Write the prime

numbers < 10.

, ,

Colour 1 3 .

9. Circle the largest.

3,093,093

3,090,393

3,089,993

10. Kelly scored 62% in a

spelling test. Write this as

a decimal.

11. The average of the numbers

25, 20, 30, 35 and 15

is .

12. Which 3-D shape has 6

vertices, 5 faces and 9

edges?

Rotate the rectangle 90°

anticlockwise. Draw the

new position.

18. 70, 63, 56, 49

Rule =

19. 9 ÷ 1 2 =

20. A pizza restaurant made

400 pizzas at the weekend.

200 g of cheese was used

per pizza. What was the

total weight of cheese

used?

21. At €6 a kg for cheese,

what was the total cost

of cheese?

€

22. 2 × = 24 ÷ 3

23. If a car takes 20 minutes to

travel 15 km, how fast is it

going?

km/h

Review sample

A B C

24. Which is better value

for money?

€600 carpet with

25% off

€750 carpet with

33 1 3 % off

2. The pizza restaurant pays €2 per 1 2-kg block of cheese.

What is the cost of cheese for a day?

€

13. 630 m = 630

1,000 km =

0. km

14. 0.3 × 0.8 =

25. How many of Box B will fit

evenly into Box A?

6 cm

2 cm 2 cm

1 cm

6 cm

1 cm

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

MONDAY

TUESDAY

1. 0.5 × 0.4 =

2. 4 + – 8 =

3. Juliette scored 45% in a history test.

Write this as a decimal.

4. 1 m 12 cm = 1 12

100 m = 1. m

5. 9.09 < 9.9 True False

6. 9.1 – 0.8 =

7. 2 13 = 26

8. 30% of €40.00 = €

9. Which is better value for money?

10. 16 ÷ 1 4 =

11. 8 3 4 + 1 2 =

€80 dress with 20% off

€90 dress with 33 1 3 % off

12. Write 350

1,000 as a decimal.

13. Circle the larger.

5,449,090 5,500,010

14. Round 6.97 to one decimal place.

15. 9.65 – 2.34 =

16. 7.2 – y = 6.8, so y =

17. Rotate the triangle 180° clockwise.

Draw the new position.

18. 2.4, 4.8, 7.2 Rule:

19. A pizza restaurant made 300 pizzas a day. 30% of the

pizzas had olives. How many pizzas had olives?

1. 0.6 × 0.3 =

2. If a 6-m wall is drawn on a plan with a scale of 1:100,

how many mm will it be on the plan?

3. The LCD of 3 4 and 1 6 is .

4. 12.3 – 0.8 =

5. 6 + – 2 =

6. Write the numeral ten million, one hundred and ten

thousand.

7. 2 m 15 cm = 2 15

100 m = 2. m

8. If a car travels 12 km in 10 minutes, how fast is it going?

km/h

9. What is the chance of selecting an even number from

a deck of 52 cards?

10. 400,000 – 390,000 =

11. 500 5 = 100

12. 3.5 + y = 5, so y =

13. 890,000 + 10,000 =

14. Area = cm 2

15. Perimeter = cm

16. Circle the larger.

17. Halve 4 10 .

18. 8.96 – 1.05 =

20% of 50 60% of 25

Review sample

19. 1, 3, 9, 27, , 243

20. Tick the regular polygons.

4 c m

3 c m

2 c m

14 c m

17 c m

A B C

2 c m

Week 18

20. This is a net of A.

D E F

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 53

WEDNESDAY

THURSDAY

Week 18

1. 0.4 × 0.8 =

2. 2 + – 7 =

3. Simplify 21

28 .

4. 600,000 – 510,000 =

1. 0.1 × 0.9 =

2. – 8 + 2 =

3. Draw the axes of symmetry

on this hexagon.

5. An octahedron has faces.

6. Mark scored 58% in a violin exam.

Write this as a decimal.

7. 4 5 > 2 10 True False

8. 5 m 56 cm = 5 56

100 m = 5. m

9. Draw the axes of symmetry on this pentagon.

10. 40 35 = 5

11. 230,000 + 170,000 =

12. A dodecahedron has faces.

13. Tick the larger.

15% of 100

50% of 40

14. a = °

15. 1 = %

16. Add the lowest 3 prime numbers.

17. 10 ÷ 1 3 =

18. 20% = 0.25 True False

300

250

200

150

100

200°

Under 12s Triathlon Competition

19. Five years of data was recorded for a triathlon

competition. The largest increase in competitors was from

to .

4. 4 m 28 cm = 4 28

100 m = 4. m

5. 14 14 = 28

6. Which is better value for money?

€1,000 bed with 15% off

€900 bed with 10% off

7. 3 6 > 1 3 True False

8. 4 1 2 + 3 4 =

9. What is the chance of selecting an odd number from a

pack of 52 playing cards? B

10. d = °

11. 3.5 – 0.9 =

12. 950,000 + = 1,000,000

13. 5.03 + 2.84 =

14. Draw a net of

a tetrahedron.

15. What is the place value of the 0 in 2,076,543?

Review sample

2013 2014 2015 2016 2017

16. 8 ÷ 1 5 =

17. Add the lowest 3 composite numbers.

18. 405,000 + = 500,000

19. 800,000 – = 720,000

20. Round 0.777 to one decimal place.

50°

20. The smallest increase in competitors was from

to .

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Which coloured marble has a

0.4 chance of being selected

from the jar?

2. Draw a dot on the chance line to show the

probability of an orange marble being selected.

Tuesday

1. Liam scored 80% in a music test. Conor got

3 out of every 4 questions correct. Who had the

higher score?

2. Write the coordinates.

0 0.2 0.4 0.6 0.8 1

0 1 2 3 4 5 6 7 8

1. How many pizzas

had seafood?

2. How many pizzas

had olives?

Wednesday

A =

B =

C =

D =

PIZZA TOPPINGS ON 10 PIZZAS

Olives 100%

Mushrooms 30%

Seafood 20%

Rocket 40%

Aubergines 10%

1. What is the probability

of selecting an odd

numbered card from

a deck of 52 cards?

2. Round 0.639 to one

decimal place.

3. 2 3 > 1 5

True

4. 0.6 × 0.3 =

False

5. What is the volume of a

room 10 m × 7 m × 3 m?

m 3

6. Sam scored 70% in a maths

test. Write this as a decimal.

7. Halve 1 2 .

8. 6 m 25 cm = 6 25

= 6. m

100 m

9. 700,000 – 675,000 =

10. 3 8 = 24

11. 1, 4, 16, 64, , 1, 024

12. 7 9 10 + 3 10 =

13. 8% = 0.08

True

False

14. Draw the axes of

symmetry on the octagon.

17. 8.27 – 2.05 =

18. 910,000 +

= 1,000,000

19. a = °

20. – 9 + 3 =

21.

3 m

6 m

100º

9 m

3 m

Area = m 2

22. Perimeter = m

23. Draw the other

2 lines of symmetry.

24. Which is better value for

money?

€800 laptop with

20% off

Review sample

€900 laptop with

33 1 3 % off

6 m

25. Draw a net of a triangular

prism.

Week 18

Thursday

1. Plot these coordinates on Tuesday’s grid, then join

them to make another square.

(6,0), (6,4), (2,4), (2,0)

2. Write the coordinate to be found in the middle

of this square.

15. Write 650

1,000 as a decimal.

16. Circle the larger.

500,250

5,025,250

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 55

MONDAY

TUESDAY

Week 19

1. 0.6 × 0.5 =

2. 8 + – 3 =

3. A car travels at 100 km/h for 350 km.

How many hours is the trip?

4. (200 – 50) ÷ (40 ÷ 8) =

5. 5 m 15 cm = 5 15

100 m = 5. m

6. 16 4 = 4

7. 6 1 3 + 2 2 3 =

8. c = °

hours

9. What is the average of 150, 100, 150 and 200?

10. Write 155

1,000 as a decimal.

11. Tick the larger.

7,502,250

7,205,250

12. Draw a different net of a cube.

13. 200,000 – 100 =

14. 3 – y = 2.7, so y =

15. 1.1, 2.2, 3.3 Rule =

16. 2.7 > 28

10 True False

17. Draw a 180° rotation clockwise.

18. What is the probability of selecting a ‘face’ card from a

pack of 52 playing cards?

19. 2 3 of 15 =

20. Which is better value for money?

290°

1. 12 4 = 48

2. 3 5 of 30 =

3. 6 × = 3 × 8

4. 3 × 1 2 = 1 2 + 1 2 + 1 2 =

5. The LCD of 3 10 and 1 6 =

6. 18, 38, 78, 158, , 638

7. 750 g = 3 4 kg = 0. kg

8. Which of the following numbers

is a prime number? 16, 17, 18

a = °

10. 9 – y = 8.5, so y =

11. 32 = 2a, so a =

12. 4 + – 6 =

13. How many sides has an octagon?

14. Write 1,000 as a decimal.

15. 8, 16, 24, 32

Rule =

The pie chart shows the number of pets

owned by 6th Class pupils.

24 pupils were surveyed.

16. How many had 3 pets?

Review sample

135 °

17. Is the number of pupils who

had 0 or 1 pets the same

as the pupils who had 3 pets?

18. What fraction of the class had 2 or 4 pets?

19. What percentage of the class had 3 pets? %

20. How many pupils had 2 pets?

500 g tea for €2.00

750 g tea for €2.70

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

WEDNESDAY

THURSDAY

1. – 9 + 3 =

2. 5 × 1 2 = 1 2 + 1 2 + 1 2 + 1 2 + 1 2 =

3. The LCD of 2 10 and 3 4 is .

4. 0.7 × 0.2 =

1. Simplify 10

15 .

2. What is the average of 6, 8, 10 and 12?

3. Name this 2-D shape.

Week 19

5. Write the numeral one million, nine hundred

and nine thousand.

4. y × 6 = 24, so y =

5. 0.3 × 0.5 =

6. 900 – 325 =

7. 7 m 98 cm = 7 98

100 m = 7. m

8. 27 6 = 33

9. Halve 0.5.

10. Which is better value for money?

11. 3 4 of 28 =

10 apples for €2.40

15 apples for €2.99

12. Draw double the size of this shape. Write the new

measurements on

each side.

2 m

4 m

5 m

9 m

13. What is the radius of this circle?

14. Tick the larger.

15. 100% = 100

100 =

9,452,980 9,450,980

16. Draw the reflection.

17. 15.95 – 7.42 =

18. Area = m 2

19. Perimeter = m

20. A pizza restaurant made 400 pizzas a day. Each pizza

had 125 g of cheese. What weight of cheese was used

each day?

4 m

6 m

8 cm

6. 2 + – 5 =

7. 18 0 = 18

8. Write 1,000 as a decimal.

9. 5 6 = 15

18 True False

10. Alex shuffled 20 cards numbered from 1 to 20.

What is the chance of picking a multiple of 5?

% = 0.

11. Tick the larger.

12. 7 ÷ 1 3 =

13. 11 2 =

75% of 20 20% of 50

14. The corners are (1,2), (1,6) and (6,2). Plot the points and

draw the triangle.

15. What type of triangle is it?

16. What is the chance of it raining today?

impossible

likely

17. 8 3 5 + 1 3 5 =

18. 3 4 + 1 2 =

1 2 3 4 5 6

Review sample

6 m

4 m

5 m

9 m

2 m

19. 5 × = 50 ÷ 5

20. 3 1 4 + y = 3 3 4 , so y =

unlikely

certain

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 57

PROBLEM-SOLVING

FRIDAY REVIEW

Week 19

Monday

1. 2.

2, 8 3

– 4 5 7

2, 2 2 6

9, 7 9 8

+ 3, 9 6

1 3, 2 9 4

1. 0.9 × 0.4 =

2. 4 + – 7 =

3. 2 3 of 12 =

4. 42% = 0.

15.

a 75º

a = °

16. 100,000 = y 5 , so y =

= 100

Tuesday

1. A desalination plant filters 500 litres of seawater

every hour. The pump begins at 9 a.m.

Complete the line graph.

Water Filtered

litres

2,000

1,500

1.000

500

2. How many litres will be filtered by 4 p.m.?

litres

Wednesday

2 boys had a basketball contest

for shooting hoops. (Better of 5 shots)

1. Who won?

2. Which hand scored

the most?

Left hand

Right hand

9 a.m. 10 a.m. 11 a.m. 12 p.m. 1 p.m.

Time

KEY

Right

hand

Left

Thursday

1. The weight of 7 apples is 1.4 kg. The weight of 10

apples would probably be

5. 9 m 45 cm = 9 45

100 m

= 9. m

6. A car is travelling at 100

km/h. If it makes no stops

and travels for 650 km,

how long does the trip

take?

hours

7. Write the numeral one

million, one thousand

and ten.

8. 5 × 1 2 =

9. 36 4 = 9

10. Name this 2-D shape.

11. How many axes of symmetry

does the shape have?

12. Write 1,000 as a decimal.

13.

9 cm

What is the radius of

the circle?

17. Which is better value for

money?

18. 1 2 + 1 4 =

1 m

5 m

250 g flour for €1.20

750 g flour for €3.30

2 m

8 m

19. Area = m 2

5 m

20. Perimeter = m

21.

Draw a 180º rotation

clockwise.

22. Conor shuffled cards

numbered as the first 5

prime numbers. What is

the chance of selecting

an even number?

20% 25%

40% 0%

handReview sample

Liam Conor

80%

23. 250 g = 1 4 kg =

0. kg

24. How many faces has an

octahedron?

1.7 – 1.9 kg. 2.0 – 2.3 kg.

15 kg. 10.1 – 10.5 kg.

2. A fishing trawler had a capacity of 12,000 kg.

The trawler caught one third of its capacity.

How many kilograms of fish were caught?

14. 10.34 + 25 + 24 =

25. If you draw a wall using

a scale of 1:100 and it

measures 20 mm, what is

the actual length?

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

MONDAY

TUESDAY

1. 4 + – 9 =

2. What is the chance of picking

a spade from a deck of 52 cards?

3. Name this triangle.

1. 0.7 × 0.9 =

2. 3 + – 2 =

3. 100 25 50 = 25

4. Write

1,000 as a decimal.

Week 20

4. 0.8 × 0.2 =

5. 5 m 24 cm = 5 24

100 m = 5. m

6. 26 24 50 = 100

7. Write 1,000 as a decimal.

8. 2.3 – 0.9 =

9. Tick the larger.

9,850,725 9,800,925

10. Change 4 3 7 to an improper fraction.

11. 1 3 + 1 2 =

12. 7 × y = 70, so y =

13. What is the radius of a biscuit

tin with a 30-cm diameter?

14. 1 5 kg + 290 g + g = 1 kg

15. 7 3 4 + 2 1 4 =

16. Which is better value for money?

250 g corn for 50c

500 g corn for 95c

17. 4 kg 450 g = 4 450

1,000 kg = 4. kg

18. A cube has

faces.

edges.

vertices.

19. 100,000 = 10 a , so a =

20. Draw the axes of symmetry on the rectangle.

5. 4 > – 5 True False

6. 40 × 8 = 320, 39 × 8 =

7. The LCD of 3 8 and 2 3 is .

8. Is 29 a multiple of 3?

9. 12 × = 8 × 6

10. 1 – 0.001 =

11. 1 – 0.01 =

12. 1 – 0.1 =

13.

Draw after a 270° rotation clockwise.

14. There were 40 red and 10 yellow jelly beans in a bag.

What is the simplified ratio of red to yellow?

15. 5 kg 720 g = 5 720

1,000 kg = 5. kg

16. A triangular prism has

faces.

edges.

vertices.

17. Draw lines to match the total degrees to the shapes.

Quadrilateral 720º

Triangle 360º

Pentagon 540º

Hexagon 180º

Review sample

18. Insert the correct symbol (, =).

75% of €200 60% of €250

19. Area = m 2

20. Perimeter = m

10 m

6 m

4 m

3 m

6 m

3 m 3 m

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 59

WEDNESDAY

THURSDAY

Week 20

1. Write the numeral 1.2 million.

2. 6 + – 8 =

3. 1 – 0.005 =

4. 31 9 =

1. What is the perimeter of a regular pentagon with

7-cm sides?

2. What is the probability of selecting a red jelly bean from

a jar with 5 red and 15 white ones?

5. How many of Box B

will fit into Box A?

6 cm

2 cm

1 cm

3. 5 + – 9 =

0.2 0.25

15 5%

6. A recipe calls for 3 cups of flour and 2 eggs for

a cake to serve 2. What is the simplified ratio of flour

to eggs?

7. 6 m 7 cm = 6 7

100 m = 6. m

8. a = °

9. Halve 1.2.

10. 1 2 > 0.07 True False

11. 3 2 5 = 30

12. Write 900

1,000 as a decimal.

13. Simplify 12

30 .

14. Round 5.496 to two decimal places.

15. 1 2 + 1 4 =

16. 45 × = 10 × 9

17. What is the sum of the prime numbers < 10?

18. Draw a net of a triangular pyramid.

19. Draw in the missing line of symmetry.

75º

4. How many faces has an octahedron?

5. 400,000 – 10,000 =

6. What is the area of a floor 6 m by 3 m?

m 2

7. Write the numeral 2.9 million.

8. 0.2 × 0.6 =

9. 50 5 2 = 5

10. Name this triangle.

11. Tick the largest.

4,010,000 4,000,000 3.8 million

12. 6.07 + 12.92 =

13. 2 × a = 400, so a =

14. The answer for 24 × 29. Which digit will the unit be?

3 6 8 0

15. Which is better value for money?

Review sample

100 g sweets for 90c

125 g sweets for €1.40

16. 1 × = 45 ÷ 9

17. 2 kg 50 g = 2 50

1,000 kg = 2. kg

18. 1 2 + 2 3 =

19. Will a square and a rectangle tessellate together?

20. 60 × 7 = 420, 59 × 7 =

20. 2.97, 2.98, 2.99,

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

PROBLEM-SOLVING

FRIDAY REVIEW

paving

garden

108°

Monday

1. A recipe for 3 needs 4 cups of flour to 1 egg. How

many cups and eggs will be needed to serve 18?

cups and

10 m

108°

eggs

2. Another recipe had a simplified ratio of 3:2 (flour to

eggs) to serve 4. How many cups of flour and eggs

to serve 20?

cups and

Tuesday

1. Total paving area = m 2

eggs

6 m

2. What fraction of the total area is the garden?

Wednesday

A landscaper charged €50 per square metre for

paving and €20 per square metre for the garden.

1. What was the cost of the paving? €

2. What was the price for the garden? €

Thursday

1. Write the sizes of the angles.

a = °

b = °

c = °

d = °

36°

72°

36°

1. 3 + – 7 =

2. 0.6 × 0.3 =

3. 8 m 35 cm = 8 35

100 m

= 8. m

4. Name this triangle.

5. 3 4 = %

6. What is the area of a floor

12 m by 4 m?

7. 9 3 4 + 1 2 =

8. 1 – 0.001 =

m 2

9. 5 15 70 = 90

10. Write 1,000 as a decimal.

11. 0.09 > 0.24

True

12. Simplify 30

90 .

False

13. Round 15.409 to 2

decimal places.

14. A tetrahedron has

faces.

edges.

vertices.

15. 33.9, 30.7, 27.5

Rule =

16. 9.97, 9.98, 9.99,

19. 1 2 + 1 3 =

20. The angles in a

quadrilateral all add up to

°.

21. A chocolate factory made

2,000 milk chocolates

for every 1,000 dark

chocolates. The simplified

ratio of milk to dark

chocolates is

22. What is the perimeter of

a regular hexagon with

9-cm sides?

23. Plot the points of 3 corners

of a triangle (0,1), (3,5)

and (5,0).

1 2 3 4 5

24. Which is better value

for money?

200 g of peas

for €0.45

500 g of peas

for €1.00

25. Circle the probability of

selecting a green jelly bean

from a jar if there are 25

green, 50 red, 10 white

and 15 black.

Review sample

0 0.25 0.5 0.75 1

Week 20

a b Y

108° 108°

108°

2. Which 2 triangles are congruent?

and

(HINT: congruent means having exactly the same shape and size.)

17. 2 kg 79 g = 2 79

1,000 kg

= 2. kg

18. 2 × a = 1,000,

so a =

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 61

MONDAY

TUESDAY

Week 21

1. – 2 + – 3 =

2. 0.6 × 0.8 =

3. 4 m 5 cm = 4 5

100 m = 4. m

4. Circle the composite number.

19 36 47

5. Insert signs into this number sentence.

1. – 3 + – 5 =

2. 2 5 = × × × ×

3. 40 × y = 200, so y =

4. 0.7 × 0.4 =

5. Change 4 3 7 to an improper fraction.

(10 5) 2 = 30

6. Which is better value for money?

300 g of fruit for €1.44

500 g of fruit for €2.50

7. 6 kg 200 g = 6 200

1,000 kg = 6. kg

8. 2 3 + 2 3 =

9. Name this 2-D shape.

10. Add brackets to make this number sentence true.

11.

7 ÷ 1 – 5 + 2 = 0

20 % off

12. Round 6.73 to one decimal place.

13. Graph a triangle using

the coordinates (0,6), (2,1)

and (6,2).

14. Simplify 10

12 .

15. Simplify the ratio.

10 : 5 = : 1

WAS

€ 50 NOW €

16. Write the numeral one million and ten.

1 2 3 4 5 6

6. Simplify 15

20 .

7. Insert signs into this number sentence.

(80 8) 5 = 5

8. A wizard needs 375 m of

apple juice for his breakfast.

Colour to show the level.

9. The wizard then added 250 m of carrot juice.

What is the new level?

10.

How many of Box B will fit evenly into Box A?

11. 2.543 + 3.042 =

12. Is 64 a multiple of 8?

13. Draw as a 90° rotation clockwise.

14. What is the average of

5, 8, 8 and 11?

15. 40% of €90.00 = €

2 cm

Review sample

5 cm

3 cm

4 cm

1 cm

16. How many degrees has a quadrilateral? °

250 m

17. Round 12.567 to two decimal places.

18. Write

1,000 as a decimal.

19. 12.4, 9.3, 6.2 Rule =

20. What is the perimeter of a regular pentagon with

90-mm sides?

17. 8 × 1 2 =

18. The hour hand rotates °

for each consecutive hour.

19. 6 × = 10 × 3

20. Write 2 1 4 million as a numeral.

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

WEDNESDAY

THURSDAY

1. Write in ascending order.

0.36 0.03 12%

, , , ,

2. 20% of €80.00 = €

5 0.3

1. Write in descending order.

75% 0

3 0.09

, , ,

2. Name this 2-D shape.

Week 21

3. Simplify the ratio.

20 : 5 = : 1

4. How many degrees has a triangle? °

5. What speed is a car travelling at if it does 5 km every

5 minutes? km/h

6. – 4 + – 2 =

7. 0.9 × 0.3 =

8. How many degrees

has the minute hand rotated?

9. 5 m 20 cm = 5 20

100 m

= 5. m

10. What is the average of the following numbers?

3, 6, 7 and 8

11. 14 × 25 × 4 =

12. Draw a net of

a triangular prism.

13. Insert signs into this number sentence.

(5 6) 20 = 10

14. Round 10.217 to two decimal places.

15. 10 2 =

16. What is the difference

between the areas of the

two squares?

17. Write

m 2

1,000 as a decimal.

18. Add brackets to this number sentence.

70 ÷ 10 × 5 ÷ 1 = 35

19. 4 kg 20 g = 4 20

1,000 kg = 4. kg

20. 5.027 + 5.913 =

5 m

3 m

5 m

How many of Box B will fit evenly into Box A?

4. Round 8.447 to two decimal places.

6. Simplify the ratio. 3 : 12 = : 4

7. 4 5 + 4 5 =

8. – 5 + – 4 =

9. 4.2 m = cm

10. Circle the prime number.

11. 0.5 × 0.7 =

12. 10 6 =

13. 6 × 1 2 =

2 cm

3 cm

7 cm 2 cm 1 cm

10 % off

19 36 50

14. What is the difference

between the areas of the

two rectangles?

m 2

15. 7 × 30 = y + 10, so y =

16. Which is better value for money?

50 g sweets for €1.15

200 g sweets for €1.60

17. 6.184 + 3.512 =

18. Tick the unit value of 32 × 18.

0 6 1 3

19. 4 × = 64 ÷ 8

20. 2 3 of = 8

2 cm

WAS

€ 50 NOW €

7 m

2 m

3 m

Review sample

4 m

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 63

PROBLEM-SOLVING

FRIDAY REVIEW

Week 21

Monday

1. Write in ascending order.

0.92 0.07

5 21% 0

, , ,

12. Simplify the ratio.

4 : 16 = 1 :

13. Round 15.937 to two

decimal places.

FRUIT TREES

1. The paving adjacent to the fruit trees is m

by m.

2. The total area of the paving is m 2 .

Tuesday

1. The circular garden is contained within the

rectangular plot of land. What is the diameter of the

circular garden?

2. The paving has a granite stone border around all

its 4 sides. At €10 per metre length, what is the

total cost?

€

Wednesday

1. A lorry was weighed at 15,000 kg. After unloading,

the lorry’s weight was 8,500 kg. What weight of

goods was the lorry carrying?

2. Goods were charged at €50 per 1,000 kg (

MONDAY

TUESDAY

1. 40 × 9 = 360, 39 × 9 =

2. – 7 + – 4 =

3. A jar has 10 red and 30 blue marbles.

What is the probability of selecting a blue marble?

4. 0.4 × 0.4 =

1. – 5 + – 6 =

2. Write in descending order.

0.015 0.3 0.2 0.45

, , ,

3. Write the numeral ten million, one thousand and one.

Week 22

5. 5 m 40 cm = 5 40

100 m = 5. m

6. 3 3 = × × =

7. 0.97, 0.98, 0.99,

8. Simplify 8 12 .

9. What is the average of 60, 80, 50, 90 and 70?

10. Insert signs into this number sentence.

3 (4 4) = 19

11. 1 – 0.002 =

12. 7 10 + 9 10 =

13. A tetrahedron has

faces.

edges.

vertices.

14. If a circle has a diameter of 100 cm, what is the radius?

15. Vancouver in Canada is 8 hours behind Dublin. If it is

5 p.m. in Dublin, what time is it in Vancouver?

16. Use your estimating skills and knowledge of odd/even

numbers. The answer to 27 × 17 is

459. 454. 450. 456.

17. Simplify the ratio.

4. Simplify 9 12 .

5. 2 6 =

6. 60% of €300 = €

7. 7 10 – 2 10 =

8. 0.6 × 0.7 =

9. Draw the axes of symmetry

on the hexagon.

10. Insert signs into this number sentence.

12 (18 3) = 6

11. If there are US$0.90 to €1.00, how

many euro would you get for US$9.00? €

12. 2 kg 5 g = 2 1,000 kg = 2. kg

13. If a car travels at 100 km/h, how far can it travel in

15 minutes?

14. Name this 2-D shape.

15. 5a = 15, so a =

16. Simplify the ratio.

Review sample

5 : 45 = 1 :

17. Round 20.063 to two decimal places.

3 : 15 = 1 :

18. Write a prime number between 20 and 30.

19. – 10 + – 6 =

20. 36 × 4 × 250 =

18. 19 × 50 × 20 =

19. 999,997 + = 1,000,003

20. Mia had a shuffled deck of cards with multiples of 3, from

3 to 36. Tick her chance of selecting an odd number.

25% 12% 50% 3%

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 65

WEDNESDAY

THURSDAY

Week 22

1. Write the numeral ten million, ten thousand and ten.

2. – 2 + – 3 =

3. Halve 1 3 =

1. – 4 + – 8 =

2. Add brackets to this number sentence.

80 ÷ 10 × 1 + 7 – 60 = 4

3. Name this 2-D shape.

4. It is 8.20 p.m. in Ireland and 10.20 p.m. on the same day

in Egypt. What is the time difference?

4. 0.4 × 0.5 =

5. Write in ascending order.

, , ,

100

6. If there are US$0.90 to €1.00, how many euro would you

get for US$1.80?

€

7. Round 5.803 to two decimal places.

8. Name this 3-D shape.

9. 31, 34, 37, , 43

10. Write 450

1,000 as a decimal.

11. Tick the correct value. It was 0 ºC. The temperature dropped

by 5 degrees.

5 °C –5 °C

12. 7y = 35, so y =

13. 5.541 + 2.038 =

14. The measurement at A is mm.

90 100

15. How many degrees has a quadrilateral? °

16. How many faces has an octahedron?

17. Order 0.14, 3%, 0.09 and 1 4 in ascending order.

, , ,

18. A straight angle has °.

19. What is the value of the 9 in 973,778?

5. 8.85, 8.9, 8.95,

6. 7 m 3 cm = 7 3

100 m = 7. m

7. 8 20 + 14

20 =

8. Insert signs into this number sentence.

20 (24 2) = 8

9. Which is better value for money?

€50 jacket with a 20% discount

€60 jacket with a 25% discount

10. 395,000 + = 500,000

11. 3 kg 50 g = 3 50

1,000 kg = 3. kg

12. What will I pay for a €60 dress if there is

a 30% reduction?

€

13. y = °

14. Simplify the ratio.

6 : 36 = 1 :

15. Write 1,000 as a decimal.

16. 6.234 + 2.501 =

17. 38 × 5 × 200 =

18. 9 2 =

19. What is the length of the radius?

20. What is the difference in area?

m 2

50° 50°

Review sample

7 m

12 cm

20. 0.03 = %

6 m

2 m

3 m

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. A magician charged €100 for a 90-minute show.

On Saturday, he made €500. For how long did he

perform that day?

2. What is the 7th triangular number?

Tuesday

1. The length of Side a = cm

2. The radius of each circle = cm

Wednesday

2. Enda halved a number, added 5 and multiplied

it by 3. His answer was 45. What number did he

start with?

Thursday

1. What is the area of the paving? m 2

4 m

2 m

1st 2nd 3rd

Fold

3 m

4 m

8 m

21 cm

2 m

garden

paving

2. It costs €50 to pave a square metre. How much will

this space cost the owner?

Cut

Unfold and draw.

1. 0.5 × 0.3 =

2. Add brackets to this number

sentence.

60 ÷ 10 × 1 + 9 – 6 = 54

3. 6 m 20 cm = 6

100 m

= 6. m

4. a = °

5. Name this 2-D shape.

6. – 8 + – 3 =

7. 0.02 = %

8. 6,000 – a = 300 × 10,

so a =

9. 7.85, 7.90, 7.95,

10. 6 20 + 9 20 =

11. 80 × 9 = 720, 79 × 9 =

12. Argentina is 4 hours behind

Dublin. If it is 7 p.m. in

Dublin, what time is it in

Argentina?

13.

45º

50 % off

90º

14. Simplify the ratio.

4 : 24 = 1 :

WAS

€ 70

NOW

€

15. What is the radius of the

circle?

2.4 cm

16. Round 20.527 to two

decimal places.

17. Simplify 16

18. 9 10 – 5 10 =

20 .

19. If there are US$0.90

to €1.00, how many

euro would you get for

US$18.00?

€

20. 3 kg 4 g = 3 4

1,000 kg =

3. kg

21. 999,992 +

= 1,000,001

22. 3.408 + 2.161 =

23. Write in ascending order.

0.82 8.5% 9 10 0.075

, ,

24. If a car is travelling at

80km/h, how far can it

travel in 4 1 2 hours?

Review sample

25. What is the chance of

selecting a green jelly sweet

from a jar which has 20

yellow, 20 green and 60

red jellies?

% or 0.

Week 22

€

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 67

MONDAY

TUESDAY

Week 23

1. – 4 + – 8 =

2. 1.2 × 0.3 =

3. 6 1 4 + e = 6 3 4 , so e =

4. Insert signs into this number sentence.

1. 0.5 × 0.8 =

2. Insert signs into this number sentence.

20 (72 9) = 12

3. Simplify the ratio. 2 : 10 = 1 :

5 (15 5) = 2

5. Simplify 200

500 .

6. Write the numeral ten million, one hundred

and eleven thousand.

7. What will I pay for a €500 phone with a 25% discount?

€

8. Round 1.459 to one decimal place.

9. y = °

10. 44, 88, 176, , 704

11. 3 kg 40 g = 3 40

1,000 kg = 3. kg

12. 70% of €300 = €

13. What is the difference in area? m 2

14. (40 ÷ 5) × (5 × 10) =

15. Double 8.9.

16. 14 ten thousands, 21 thousands and 15 hundreds

17. 1 4 kg + g + 1.4 kg = 2 kg

18. Is 27 a multiple of 3 and 9?

19. 1 2 + 1 4 =

8 m

5 m

20. 3 5 = %

80°

2 m 5 m

40°

4. 25 × 4 × 86 =

5. 0.02 × 10 =

6. 3 kg 4 g = 3 4

1,000 kg = 3. kg

7. 3, 9, 27, 81 Rule =

8. 5.029 + 2.236 =

9. Colour to show 3 4 of a litre.

= m

10. What is the chance of you

selecting a King from a deck of

52 playing cards?

11. – 6 + – 4 =

12. 1% of €100 = €

13. What is the perimeter of a regular pentagon with

60-mm sides?

14. If a car travels 5 km in 3 minutes, how far does it travel

in one hour?

15. Write in descending order.

2.02 2.0 2.2 2.002

Review sample

, , ,

The pie chart shows the favourite

sports of 6th Class pupils.

32 pupils were surveyed.

16. How many liked football?

17. How many liked hurling?

18. What percentage liked tennis? %

19. What fraction liked swimming?

Tennis

Hurling

Swimming

20. How many more liked football than hurling?

Football

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

WEDNESDAY

THURSDAY

1. – 7 + – 3 =

2. Simplify 6 9 .

3. 200, 20, 2,

4. Insert signs into this number sentence.

Colour in.

1. 1 5 = 0. = % =

2. – 3 + – 5 =

3. Draw a line of symmetry on the semicircle.

Week 23

(3 8) 16 = 40

5. 0.04 × 100 =

6. 10 4 5 = (improper fraction)

7. Double 32.5.

8. What is the difference between the areas

of the two shapes?

m 2

9. 0.001 × 1,000 =

10. Round 64,698 to the nearest thousand.

11. A circle has a radius of 8 cm.

What is the diameter?

12. 2 3 5 + e = 3 1 5 , so e =

13. Will a circle and a triangle tessellate together?

14. What will I pay for a €500 TV if

there is a 75% discount?

€

15. Write the numeral ten million, one hundred and one.

16. 3 kg 400 g = 3 400

1,000 kg = 3. kg

17. 4.237 + 3.129 =

18. Write in ascending order.

100

, , ,

19. What is the perimeter of a regular hexagon with

70-mm sides?

20. Which is better value?

€80 suit with a 75% discount

€90 suit with a 66 2 3 % discount

4 m

75 %

OFF!

3 m

8 m

8 cm

3 m

4. The place value of the 5 in 2.052 is .

5. 1.5 × 0.4 =

6. Double 17.5.

7. It is 2.15 a.m. in Ireland. It is 11.15 a.m. on the same

day in Australia. What is the time difference?

8. 1 3 5 + 4 5 =

9. 6 80

100 = (improper fraction) 100

10. If there are £0.60 to €1.00, how many euro would you

get for £15.00?

€

11. 3 1 5 – 4 5 =

12. Simplify the ratio. 6 : 30 = 1 :

13. Round 3.654 to two decimal places.

14. 0.001 × 200 =

15. A circular driveway has a radius of 5 m.

What is the diameter?

16. Write 1,000 as a decimal.

17. 4 × × 17 =1,700

18. Complete the pattern.

Review sample

1 2

19. 5 ÷ 1 2 =

2 2

20. What is the perimeter of a regular octagon

with 50-mm sides?

4 2

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 69

PROBLEM-SOLVING

FRIDAY REVIEW

Week 23

Monday

PET STORE

1. – 5 + – 8 =

2. 2 5 = %

3. Simplify 12

15 .

4. Double 28.5.

16. Write in descending order.

, , ,

17. y = °

100

5. 5 1 5 – 3 5 =

60º 60º

0 A B

1. What is the length of the sign? mm

2. Work out the measurements.

A = mm B = mm

Tuesday

1. All non-numbers from a deck of 52 playing cards

were removed. Circle the chance of selecting a

♠ on the chance line. (Shuffled cards and randomly

chosen.)

0 0.25 0.5

2. The chance of not selecting a ♠ is %.

Wednesday

Here is a survey of food

places in an Irish town.

Find the percentage of

1. fast food places. %

2. cafes. %

Thursday

1. Which spinner has the best chance

of landing on a 2?

2. Write the chance, as a percentage,

of each spinner landing on a 5.

A = %

B = %

C = %

3,600 mm

0.75 1

SURVEY

Cafes - 4

Bakeries - 3

Fast Food - 18

Music store

What is the height of

this sign?

7. 4 × 59 × 250

8. 0.07 × 100 =

9. 75% of €200.00 =

€

10. Double the size of this shape.

11. Use – and ÷.

18 (9 3) = 15

12. 3.048 + 2.527 =

13. 15 ten thousands

15 thousands

15 hundreds

14. Simplify the ratio.

7 : 35 = 1 :

15. What is the perimeter of

a regular hexagon with

50-mm sides?

850 mm

18. Round 4.477 to

two decimal places.

19. The time is 3.15 p.m. in

Ireland and 8.15 p.m.

on the same day in

India. What is the time

difference?

20. 5 ÷ 1 2 =

21. A circular driveway has a

radius of 3 m. What is the

diameter?

22.

Name this 3-D shape.

23. The shape in Question 22

has

Review sample

10 1

faces.

edges.

vertices.

24. 77, 154, 308,

25. If a car travels 4 1 2 km in

3 minutes, how far can it

travel in 1 hour?

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

MONDAY

TUESDAY

1. – 3 + – 6 =

2. A fridge costs €300 plus 20% VAT.

What is the total price?

€

3. Double the size of this shape.

Draw using the grid.

1. – 4 + – 10 =

2. Area of a path 2 m by 18 m? m 2

3. 2 × 9 × 3 =

4. Simplify 30

35 .

5. Write the numeral ten million, one hundred

and ten thousand, one hundred and ten.

Week 24

4. Change 9 2 3 to an improper fraction.

5. 2 – 1.75 =

6. 0.50, 0.75, , 1.25

7. Simplify 20

25 .

8. 6 ÷ 0.5 =

9. 0.09 × 100 =

10. 1.5 × 0.4 =

11. Round 0.297 to one decimal place.

12. 6 3 5 + 2 4 5 =

13. 2 × 7 × 3 =

14. 6.645 – 2.032 =

15. 6 1 5 – 4 5 =

16. y = °

17. If 2 3 of a class of 30 are wearing a uniform,

how many are not wearing it?

18. 10 371 = r

19. 9.7 – e = 9, so e =

y 50°

20. Write the decimal four point zero five.

6. 127 ÷ 10 = r

7. 6 kg 30 g = 6 30

1,000 kg = 6. kg

8. If you cycle your new blue bike for half

an hour and cover 13 1 2 km, how fast

are you travelling?

km/h

9. A square-based pyramid has

faces.

edges.

vertices.

10. Complete the multiples of 3 and 4.

Colour any matching multiples.

11. 3 5 = 0.

3 6 9

4 8 12

12. 1 – 0.005 =

13. 1 hectare (ha) = m 2

14. The angles in a trapezium add up to °.

15. An obtuse angle is less than a reflex angle.

Review sample

True

16. 7 2 10 – 9 10 =

17. 1 2 + 2 5 =

False

18. 6 2 =

19. 625 m = 5 8 = 0.

20. If there are 1,000 teachers and 3 4 of

them are female, how many are male?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 71

WEDNESDAY

THURSDAY

Week 24

1. The place value of the 0 in 84,170 is .

2. – 6 + – 8 =

3. 1.3 × 0.4 =

4. 6 96 = 96 ÷ 6 = 96 6

= 60 6 + 36 6 = 10 + =

5. 4 5 = 0.

6. (200 ÷ 4) ÷ 10 =

7. Halve 1 3 .

8. What 3-D shape can you make by stacking circles?

9. Double 13.5.

10. A cuboid has

faces.

edges.

vertices.

11. The minute hand will rotate °

from 11 to 3.

12. 8.495 – 2.342 =

13. On the first grab, what is the chance of

selecting a €1.00 coin from a wallet consisting of

€3.00 in €1.00 coins and €3.00 in 50c coins?

14. 1 2 – 1 4 =

15. Simplify the ratio. 8 : 56 = 1 :

16. Is 33 a prime number?

17. y = °

18. 900 m = 9 10 = 0.

19. 2 4 =

y 45°

1. 1 10 = 0. = %

2. A washing machine costs €250 plus 20% VAT.

What is the total price? €

3. Draw the axes of symmetry on the hexagon.

4. Double 1 4 .

5. Round 2.565 to two decimal places.

6. 6 132 = 132 ÷ 6 = 132

= 120

6 + 12 6 = 20 + =

7. 1.8 × 0.2 =

8. 8 2 3 + 1 2 3 =

9. 7 kg 5 g = 7 5

1,000 kg = 7. kg

10. x = °

11. 4.273 + 2.064 =

12. Write in descending order.

808 1.8 2 1 2

, ,

13. Complete the multiples of 4 and 6. Colour any

matching multiples.

4 8

6 12

14. Round 24.0786 to three decimal places.

15. The angles in a parallelogram add up to °.

16. 1 – 0.009 =

17. Write the decimal three point two four.

18. 63 5 = (mixed number)

19. Simplify the ratio. 9 : 36 = 1 :

Colour in.

Review sample

45°

20. 50%

(fraction) =

20. 1 8 = m

(decimal) =

= (colour the circle to show)

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Complete the multiples of 4 and 5.

Colour the matching multiples.

1. 1.9 × 0.2 =

2. 1 4 = 0.

3. – 3 + – 4 =

4. Double this shape.

17. Insert signs into this

number sentence.

(50 2) 5 = 30

18. 7 3 7 = (improper fraction)

Week 24

2. What will be the next matching multiple of 4 and 5?

Tuesday

2 C 4

B 5

2 C 4

B 5

1. Which face is opposite 5?

2. Which face is opposite C?

Wednesday

1. 32,000 = 25 × × 8 × 4

2. 25 × × 2 × 8 = 32,000

Thursday

1. The minute hand rotated from 1 to 11.

How many degrees of rotation?

5. A television costs €400

plus 20% VAT. What is

the total price?

€

6. 10 – e = 9 1 2 ,

so e =

7. 7 2 5 – 4 5 =

8. (2,000 ÷ 20) ÷ 5 =

9. 7 2 =

10. 8.476 – 3.054 =

11. 3,679 m =

12. 2 × 83 =

13. 1 – 0.007 =

14. x = °

125º

19. Draw a 270° clockwise

rotation.

20. A triangular prism has

faces.

edges.

vertices.

21. 4.295 + 2.334 =

22. The angles in a rhombus

add up to °.

23. 333 m = 1 3 =

24. Complete the multiples

of 4 and 8. Colour any

matching multiples.

4 8

Review sample

2. The hour hand moves from 1 to 2 in

minutes. Each mark (minute) equates to

15. Complete the magic square.

minutes for the hour hand.

8 6

16. 7 3 4 + 3 3 4 =

25. What is the chance of

choosing a red jelly bean

from a jar containing 1 red

and 99 green ones?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 73

MONDAY

TUESDAY

Week 25

1. – 6 + – 8 =

2. 3 3 4 + e = 4 1 2 , so e =

3. a = °

4. A new phone costs €500 plus 20% VAT.

What is the total price?

€

5. 1.5 × 0.4 =

6. Simplify 4 10 .

7. Is 19 a prime number?

8. 30 – 1 3 =

9. Draw the axes of symmetry on

this hexagon.

10. 3 4 = 0.

11. Write 5

100 as a decimal. 0.

12. 8.549 – 2.035 =

13. y = °

y 45°

14. Round 20.4853 to three decimal places.

15. 750 m = 3 4 = 0.

16. 999,997 , 999,998 , 999,999 ,

17. Rotate the rectangle 90° clockwise and draw

the new position.

18. How long is the pencil? mm

c m

11 12 13

14 15 16

65°

45° a

1. The angles in a triangle are 40° and 85°.

What is the 3rd angle? °

2. 400,000 , 600,000 , 800,000 ,

3. 900 – × = 200, so x =

4. 10 5 =

5. – 4 + – 12 =

6. (900 ÷ 30) × 5 =

7. Halve 1 8 .

8. 1.6 × 0.3 =

9. If 4 5 of your class of 25 eat porridge for breakfast,

how many do not?

10. Name this 3-D shape.

11. How many faces has the above shape?

12. How many edges?

13. How many vertices?

14. How many of Box B will

fit evenly into Box A?

15. Write 1,000 as a decimal.

16. 7.569 – 5.241 =

17. 1 2 + 1 3 =

Review sample

7 cm

18. 8 kg 250 g = 8 250

1,000 kg = 8. kg

12 m

3 m

5 cm

2 cm

5 m

1 cm

2 cm

19. If three of these pencils are placed end-to-end, how long

would they be?

20. Tick the larger. 50% of 20

15% of 60

5 m

3 m

12 m

19. Area = m 2

20. Perimeter = m

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

WEDNESDAY

THURSDAY

1. 1 4 + 1 8 =

2. A microwave costs €200 plus 20% VAT.

What is the total price?

€

3. 6 – 2 5 =

4. 1.4 × 0.5 =

5. Round 15.5089 to three decimal places.

6. 0.6 × 4 =

7. Halve 1 5 .

8. Name this 3-D shape.

9. This shape has faces.

edges.

vertices.

10. Rotate the rectangle 180° anticlockwise and draw the

new position.

11. 250 m = 1 4 = 0.

12. 250,000 , 500,000 , 750,000 ,

13. Write in ascending order.

7.07 0.009 3 1 2

, ,

14. The angles in a rhombus add up to °.

15. 1 1 4 = 1.

16. y = °

17. 1 8 of = 5

18. A pencil case has 10 blue and 5 red pencils. What is the

chance of choosing a red pencil?

19. 0.001 × 50 =

y 50°

20. Write the decimal four point zero five.

1. What is the perimeter of a regular octagon with

70-mm sides?

2. A lorry left at 6.00 a.m. and arrived at its destination

6 hours later. It covered 600 km.

How fast was the lorry travelling?

3. Two angles in a triangle are 45° and 90°.

What is the 3rd angle? °

4. The sum of 6.4 and 0.9 is .

5. Draw a net of a pentagonal prism.

6. Double 1 8 .

7. (800 ÷ 40) ÷ 5 =

8. 8 1 3 + 2 3 =

9. – 8 + – 6 =

10. 9.541 – 2.315 =

11. 40% = 0.

12. 10,000, 9,200, 8,400, 7,600,

13. Round 14.2073 to three decimal places.

14. 5 kg 4 g = 5 4

1,000 kg = 5. kg

15. Write in descending order.

16. 0.9 × 5 =

km/h

2 0.049 0.1 3%

17. Write 11

100 as a decimal. 0.

, , ,

Review sample

18. The minute hand has rotated

°.

19. Tick the larger. 75% of 40 35% of 100

20. Are all the angles in an equilateral triangle acute?

Week 25

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 75

PROBLEM-SOLVING

FRIDAY REVIEW

Week 25

Monday

1. A farmer has 2 hectares of land. For each

1,000 m 2 , there are 8 sheep. How many sheep

are on the farm altogether?

2. If each sheep ate 10 m 2 of grass daily, how many

square metres of grass are consumed on the farm

each day?

1. A large container of maple syrup

is used at Pancake's Cafe.

The chef uses 3 5 of the container

in 10 days. How many litres does he use?

2. On average, how many

litres does the chef

use each day?

Wednesday

At 3 p.m. on Monday, the 12th of July, Bobby asked

his dad to tell him the date and time of the concert

they were going to. Dad told him that the concert

would start in exactly 245 hours.

1. What day and date is the concert?

1. Is 23 a prime number?

17. a = °

2. – 9 + – 6 =

65°

55°

3. 3 8 of = 9

18. Write 1,000 as a decimal.

4. Halve 1 4 .

5. A computer costs €1,000

plus 20% VAT. What is the

19. The minute hand has rotated

m 2

total price?

°.

€

11 1

10 2

6. 1.6 × 0.2 =

8 4

7. Write in descending order.

7 5

8 0.55 5% 0.1

20. If 2 3 of your class of 27 ate

Tuesday

8. 1 – 0.002 =

21. The largest is

9. Round 14.8569 to

three decimal places.

30% of 20.

50% of 16.

50 litres 40% of 15.

, ,

cereal this morning, how

many did not?

10. 1 5 = 0.

11. Write 1,000 as a decimal.

12. From A, how many

millimetres to 3 m?

90 2000 10 20

13. Write the numeral

1.9 million.

22. The angles in a trapezium

add up to

23. 9

1,000 = 0.

°.

24. How many faces has a

square-based pyramid?

Review sample

25. Draw a net of a triangular

prism.

2. What time does it start?

Thursday

1. 1 4 , 1 2 , 1, 1 3 4 , 2 3 4 ,

2. 1 3 , 2 3 , 1 1 3 , 2 1 3 ,

14. 40% = 0.04

True

False

15. The angles in a triangle are

35º and 110º. What is the

third angle?

16. Write 2 1 4 as a decimal.

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

MONDAY

TUESDAY

1. 1 8 + 1 2 =

2. 900 – e = 500, so e =

3. The shaded area is m 2 .

4. – 4 + – 9 =

4 m

6 m

4 m

6 m

1. – 2 + – 9 =

2. A fridge costs €250 plus 20% VAT. What is the total price?

€

3. (240 ÷ 60) × 7 =

Week 26

5. Write in descending order.

4. 1.5 × 0.5 =

5% 0.9 0.11 0.222

5. Two angles in a triangle are 90° and 40°.

6. Simplify 15

20 .

7. 1.8 × 0.3 =

8. 9.638 – 4.374 =

, , ,

9. Round 16.6324 to three decimal places.

10. Tick the larger.

25% of 80 30% of 100

11. 0.8, 1.1, 1.4, 1.7, , 2.3

12. 25% of €100.00 = €

13. The total cost of 5 sweets is 70c.

What is the average cost of one sweet?

14. 0.4 × 0.3 =

15. 4 3 = × × =

16. If there are £0.60 to €1.00, how many euro for £30.00?

€

17. Write the coordinates.

A =

B =

C =

18. 3 5 × 10

12 =

19. Write the numeral ten million, nine hundred and ninety

thousand and ninety.

20. 3a + 10 = 19, so a =

What is the 3rd angle? °

6. 2,500 , 2,250 , 2,000 ,

7. Draw the axes of symmetry

on this octagon.

8. Round 14.3692 to three decimal places.

9. How many faces has a triangular prism?

10. 500 m = 1 2 = 0.

11. 0.6 × 0.3 =

12. 32 = 2a, so a =

13. 4 5 = 10 = 100 = %

14. A pentagonal prism has

faces.

edges.

vertices.

15. 4y – 10 = 10, so y =

16. Write the coordinates.

Review sample

A =

B =

C =

17. Area = m 2

18. Perimeter = m

19. 20 ten thousands and 20 hundreds as a numeral is

2 m

5 m

2 m

10 m

5 m

4 m

20. How many right angles has a square?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 77

WEDNESDAY

THURSDAY

Week 26

1. Draw a net of a cylinder.

2. – 3 + – 6 =

3. 4 3 =

4. 7.849 + 2.591 =

5. 0.3 × 100 =

6. 2 3 = 9

7. The total cost of 4 chocolate bars is €3.20.

What is the average cost of one chocolate bar?

8. y = °

9. 6 kg 24 g = 6 24

1,000 kg = 6. kg

10. Write in ascending order.

11. 2 3 × 6 8 =

4% 6 1 4 0.5 2

, , ,

12. A bag contained 1 pink, 3 yellow and 6 white

marshmallows. Tick the chance of randomly selecting

a yellow marshmallow.

13. 12

20 = 0.

3 0.3

14. Write 40

100 as a decimal.

15. 10 – 0.9 =

16. 2a – 15 = 25, so a =

17. y = °

18. 3 ÷ 1 2 =

4 0.25

19. How many right angles has a trapezium?

55° 55°

y 30°

1. What is the size of this angle?

2. A car costs €10,000 plus 20% VAT.

What is the total price? €

3. 1.3 × 0.6 =

4. 6.537 – 2.184 =

5. 40% of €500 = €

6. 49 × 37 = 1,813 813 6,993 1,816

7. Round 23.0679 to three decimal places.

8. Simplify 18

21 .

9. (320 ÷ 80) × 9 =

10. Draw the rectangle after a 450° rotation anticlockwise.

11. 400 m = 2 5 = 0.

12. 4 9 × 3 8 =

13. 8 – 0.02 =

14. Tick the larger. 75% of 60 80% of 50

15. Can a triangle and a square tessellate together?

16. 0.05 = %

17. Two angles in a triangle are 85° and 45°.

Review sample

What is the 3rd angle? °

18. 5a – 15 = 15, so a =

20. Insert signs into this number sentence.

20 (64 8) = 12

19. Write the coordinates.

A =

B =

C =

20. If you are paid €5.50 an hour for cleaning your room

(it takes 3 hours!), how much do you earn?

€

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. A sea container measured 10 m × 2 m × 2 m.

It was filled with 80 crates of jelly beans.

What was the volume of each crate?

m 3

2. Each crate weighed 50 kg. What was the total

weight of the jelly beans?

Tuesday

1. The cost of the jelly beans was €2 per 500 g.

What was the total cost of the shipment?

€

1 m

2. Which crate's dimensions match the volume?

Wednesday

1. To show 0.6 × 0.3,

• colour 0.6 (vertically)

• colour 0.3 (horizontally)

The intersection (overlap) is the

product of 0.6 and 0.3, which is

2. Show 0.4 × 0.8.

The intersection = .

Thursday

1 m

1. Elaine thought of a number. She added 15 and

divided it by 2. Her answer was 10.

What number did she start with?

100 × 10

2. 1,000 50 × 20

0.5 m

1. 0.97, 0.98, 0.99,

2. – 3 + – 8 =

3. 64 = 2a, so a =

4. 1.6 × 0.3 =

5. Write the coordinates.

A =

B =

C =

6. 9 × 6 =

7. 14

20 = 0.

8. The total cost of 6 pens is

66c. What is the average

cost of one pen?

9. 2 3 = 15

10. 5 8 × 4 15 =

11. 2y + 2 = 20,

so y =

12. A car costs €20,000 plus

20% VAT. What is the total

price?

€

0 1 2 3 4 5

13. Two angles in a triangle are

95º and 50º. What is the

3rd angle?

14. Draw a net of a cube.

15. 8.439 – 2.127 =

16. Tick the larger.

75% of 40

35% of 100

17. 40% of €500.00 =

€

18. 750 m = 3 4 =

19. Can an ellipse tessellate?

20. 9 6 8 + 4 3 4 =

21. 6 ÷ 2 3 =

22. 3 1 4 km = m

23.

The light-pink shaded

area is

24. 39 × 44 =

cm 2 .

1,716 1,714

3,716 1,793

25. If you are paid €4.50 per

hour as a chocolate cake

tester, what should you earn

after 5 hours?

Review sample

HINT: Grid is 1 whole; each square

= 0.01 or 10 squares = 0.1

€

2 cm

1 cm

2 cm

8 cm

6 cm 6 cm

Week 26

25 ×

12.5 ×

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 79

MONDAY

TUESDAY

Week 27

1. How many right angles has a rectangle?

2. What is the perimeter of a regular

pentagon with 40-mm sides?

3. – 9 + + 3 =

1. – 10 + + 7 =

2. 15 ÷ 0.5 =

3. Write the numeral ten million, one thousand

and one.

4. Write 10 3 8 as an improper fraction.

5. 350 , 700 , 1,050 , 1,400 , 1,750 ,

6. 9,000 – e = 6,000, so e =

7. 1.5 × 0.2 =

8. Round 12.5675 to three decimal places.

9. A pizza restaurant made 500 pizzas each day.

40% had olives. How many pizzas had no olives?

10. What is the average of these cricket scores?

11. 1% = 0.

4 0 35

12. The value of the 5 in 250,470 is .

13. 1 3 × 6 9 =

14. If there are £0.60 to €1.00, how many euro

for £6.00? €

15. Draw to show a 270° rotation anticlockwise.

16. A car costs €5,000 plus 20% VAT.

What is the total price? €

17. 10 ÷ 0.5 =

18. If you are paid 1 1 2 times the normal rate (€5.00 per hour)

what do you earn for 2 hours of work?

4. Tick the larger. 75% of 80 70% of 90

5. 2 e = 32, so e =

6. Write in ascending order.

473

1000 4.00 34

, , , ,

7. The total cost of four pens is 48c.

What is the average cost of one pen?

8. Name this triangle.

9. 5% = 0. = 100

10. 5a – 5 = 20, so a =

11. The angles in a triangle are 80° and 60°.

What is the 3rd angle? °

12. 300 g = 0. kg

13. y = °

14. (600 ÷ 30) × 50 =

15. 250 m = 1 4 = 0.

16. What percentage of 12 is 6? %

10 2 1 5

17. Write the numeral two million, twenty thousand

and two.

18. 75% = 3 4 = 0.

19. Name this 3-D shape.

45°

Review sample

€

19. Plot the coordinates

(0,1), (3,5) and (3,1)

to make a triangle.

20. What type of triangle is it?

20. Plot the coordinates

(1,1), (1,4), (4,4) and (4,1).

Connect the points.

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

WEDNESDAY

THURSDAY

1. 1.7 × 0.3 =

2. Halve 0.04.

3. 8

20 = 0.

4. 40 × 70 = e + 800, so e =

1. 3 apples cost 50c. How much for 15 apples?

€

2. If 2 3 of your teachers cycle to school, what fraction

do not cycle to school?

Week 27

5. Round 15.23 to one decimal place.

6. The value of the 6 in 650,450 is

3. Name this triangle.

7. 2 3 of 30 =

8. x = °

9. 4% = 0.

10. 3 4 × 2 3 =

11. What is the average of these cricket scores?

25, 52, 60 and 75

12. What percentage of 5 is 2? %

13. Double 12.6.

14. 10a – 3 = 27, so a =

15. 200 m = 1 5 = 0.

16. You cleaned your room on Sunday and your pay

was double time (normal rate €4.00 per hour).

How much did you earn after 3 hours?

€

17. What is the lowest common

denominator of 3 25 and 2 5 ?

18. 20% = 1 5 = 0.

19. Write in descending order.

4 8% 0.1

, ,

20. Draw lines to match.

a 100°

85°

55°

4. 4 5 of 50 =

5. 1,000,000, 10,000, 100,

6. Halve 0.08.

7. 289 g = 0. kg

8. – 5 + + 8 =

9. Tick the larger. 20% of 80 25% of 60

10. Plot the coordinates

(0,5), (2,1) and (5,1)

to make a triangle.

11. 1 4 × 2 3 =

12. Double 14.6.

13. 400 mm = 0. m

14. What is the LCD of 3 25 and 4 10 ?

15. 2 25 = 0.

16. 6a – 4 = 20, so a =

17. What is the floor area of a classroom 9 m by 6 m?

18. 11 2 =

Review sample

19. 30% = 3 10 = 0.

m 2

20. A car costs €2,500 plus 20% VAT. What is the total price?

€

b 80°

80 º

100 º

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 81

PROBLEM-SOLVING

FRIDAY REVIEW

Week 27

1. 10,000

2. 5

Monday

Tuesday

1. The sum of 2 numbers is 14. The difference between

the numbers is 4. The numbers are

and .

2. The product of 2 numbers is 48. The difference

between the numbers is 2. The numbers are

and .

Wednesday

1. The difference between

the towns is

km.

2. If you lived in New Town, and your school

was in Old Town, how many kilometres

would you travel in a school week?

100 ÷ 20

1,000 × 10

500 × 20

÷ 10

÷ 25

÷ 2.5

× 80

× 160

Thursday

4 , 9 3 9

+ 2, 5 9

1 2 0, 5 2 8

OLD TOWN 105 km

NEW TOWN 75 km

1. 8 ÷ 0.5 =

2. 450, 900, 1,350,

3. Halve 0.06.

4. 3,650 g

, 2,250

= kg g

5. 2% = 0.

6. – 3 + + 7 =

7. 6.3 – 0.8 =

8. 1.5 × 0.4 =

9. Round 4.2718 to

three decimal places.

10. The value of the 7 in

750,920 is .

11. Plot the coordinates

(0,5), (1,2) and (5,0).

12. What is the floor area of a

classroom 9 m by 7 m?

13. 7 20 = 0.

14. 1 4 × 8 12 =

m 2

15. Name this triangle.

16. A car costs €1,500 plus

20% VAT. What is the total

price?

€

17. Two angles in a triangle are

65º and 65º. What is the

third angle?

18. 800 g = 0. kg

19. Write in ascending order.

1,000

100

, ,

20. Write the numeral three

million, thirty-three

thousand and five

hundred.

21. 6 pencils cost 90c. What

is the average cost of

one pencil?

22. 2 3 of 36 =

23. Your chocolate cake testing

job pays time and a half on

Saturdays. If you work for

5 hours, what should you

earn if the normal rate is

€5.00 an hour?

€

24. If there are £0.60 to €1.00,

how many euro would you

get for £6.00?

Review sample

€

25. 750 m = 3 4 =

– 3 5 0

4 5 0

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

MONDAY

TUESDAY

1. – 4 + + 5 =

2. 1.8 × 0.2 =

3. Round 3.4672 to three decimal places.

4. Write 64 9 as a mixed number.

5. 5,000, 4,000, 3,000,

6. 60% discount on a €20.00 item.

New price = €

7. 2,000 = 400 + y, so y =

8. A car is travelling at 60 km per hour.

How long will it take to travel 1 km?

9. The value of the 7 in 74,012 is .

10. 65 m = 0.

11. Double 8.09.

12. Halve 8.09.

13. 2 1 2 % = 0.

minutes.

14. What is the volume of a box 20 cm by 30 cm by 40 cm?

15. 1.5 ÷ 0.3 =

cm 3

16. If there are US$0.90 to €1.00, how many euro for

US$2.70? €

17. Draw to show a 180° rotation anticlockwise.

18. What is the average of these class results? %

85% 60% 35%

19. Tick which roads are parallel.

1. – 5 + + 2 =

2. What is the LCD of 2 3 and 6 8 ?

3. (40 ÷ 8) × (8 – 5) =

4. 1 3 × 3 4 =

5. 1,200 – a = 700, so a =

6. 30% discount on a €300.00 item.

New price = €

7. Double 7.009.

8. Name this triangle.

9. A car costs €7,500 plus 20% VAT.

What is the total price? €

10. How many lines of symmetry

does this letter have?

11. 89 m = 0. km

12. 4 3 4 = (improper fraction)

13. What 3-D shape has 4 faces, 4 vertices and 6 edges?

14. 4 × 1 2 = 4 ÷

15. 1.7 × 0.3 =

The pie chart shows the number of events won

by each team at Sports Day.

16. There were 32 events in total.

How many events did the yellow

team win?

Review sample

17. What fraction of events did the

green team win?

Green

Red

Blue

Yellow

Week 28

HARD RD

EASY AVE

THIS WAY

THAT WAY

18. How many events did the red team win?

19. What fraction of events did the blue team win?

20. Tick the larger. 20% of 100 50% of 50

20. Did the red and blue teams win the same

amount of events?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 83

WEDNESDAY

THURSDAY

Week 28

1. Double 16.008.

2. Write another name for a 3-D shape that is a tetrahedron.

3. 9 1 3 – e = 8 2 3 , so e =

4. – 6 + + 2 =

5. What is the LCD of 3 4 and 2 10 ?

6. Round 20.0756 to three decimal places.

7. The place value of the 8 in 18,207 is

8. y = °

9. If you cycle 8 km in quarter of an hour,

how far can you cycle in 2 hours?

10. Tick the larger. 10% of 50 40% of 25

11. 9 1 2 % = 0.

12. The total cost of 3 pens is 48c. What is the average cost

of one pen?

13. 6 × 1 3 = 6 ÷

14. 600 m = 3 5 = 0.

15. 10% = 1 10 = 0.

16. Which letter is opposite D?

17. Round 0.087 to two decimal places.

18. 13 cm = 0. m

19. Plot the coordinates (1,1), (1,5), (5,5) and (5,1).

Join the points with lines.

What shape is it?

20. Write the coordinates

of B.

55° y

1. 1.5 × 0.6 =

2. What is the chance of choosing a face card from

a deck of 52 playing cards?

3. A car is travelling at 60 km per hour.

How long will it take to travel 5 km?

minutes

4. What is the area of a wall 7 m by 4 m? m 2

5. 1 3 of an hour = minutes

6. Halve 0.03.

7. 5 5 20 – 15

20 =

8. 12 × 1 3 = 12 ÷

9. The angles in a triangle are 95° and 50°.

What is the 3rd angle? °

10. The total cost of 5 stickers is 90c. What is the average

cost of one sticker?

11. How many degrees has a square? °

12. 45 ÷ 5 = 3a, so a =

13. Round 7.097 to one decimal place.

14. Show a 90° rotation anticlockwise.

15. The area of the house is 200 m 2 .

What is the area of the garden?

m 2

16. The perimeter of the house is 60 m.

What is the perimeter of the garden?

17. 3 1 2 % = 0.

18. 6y – 10 = 20, so y =

19. 60% = 3 5 = 0.

20. Which letter is opposite E?

House

10 m

20 m

Garden

Review sample

30 m

20 m

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. A fast train took 3 hours to complete a 750-km

express journey.

The average speed was

km/h.

1. What pyramid has 5 faces?

2. – 3 + + 7 =

3. Write three capital letters

which are symmetrical.

14. Which letter is opposite D?

A B C

E F

Week 28

2. Luke is shorter than Liam but taller than Conor.

However, Ian is taller than Liam. Order the boys'

heights.

Shortest

Tuesday

1. What fraction of an hour is 20 minutes?

2. What fraction of an hour is 18 minutes?

(in simplified form)

Wednesday

1. Which number is opposite 2?

2. Which number is opposite 3?

1. Angle a = º

110°

Thursday

2. Which type of triangle?

Tallest

2 3 4

5 6

, ,

4. Tick. The roads are

perpendicular.

parallel.

5. 1.7 × 0.2 =

6. Round 0.067 to two decimal

places.

7. 25 m = 0.

8. A car is travelling at 60 km

per hour. How long will it

take to travel 6 km?

9. 2 3 of an hour =

10. Find 0.8 of 35.

11. Double 4.095.

12.

WHICH ROAD

30 m

WHAT ROAD

minutes

15 m

House

Garden 20 m

40 m

The area of the house is

300 m 2 . What is the area of

the garden?

m 2

13. The perimeter of the

house is 70 m. What is the

perimeter of the garden?

15. 8 1 2 % = 0.

16. The angles in a triangle are

80º and 45º. What is the

3rd angle?

17. 9,000, 18,000, 27,000,

18. 14 cm = m

19. What is the average of

these three scores?

30, 15 and 0

20. How many edges has

a cube?

21. 40% discount on a

€200.00 item. How much

do you save?

€

22. If there are £0.60 to €1.00,

how many euro would you

get for £60.00?

Review sample

35 °

€

23. 7y + 7 = 28,

so y =

24. If you cycle 7 km in quarter

of an hour, how far can you

cycle in 2 hours?

25. 6 × 1 2 = 6 ÷

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 85

MONDAY

TUESDAY

Week 29

1. This painting was bought for

€300 and sold for a 5% profit.

What was the selling price?

€

2. 2

100 + 3 10 = 0.

3. What do we call an angle that has 90°?

4. The value of the 5 in 7.095.

5. 1.0 – 0.075 =

6. 1.5 × 0.4 =

7. Simplify 30

60.

8. 9 × 1 3 = ÷ 3

9. A car is travelling at 30 km per hour. How long will

it take to travel 10 km?

10. Write in ascending order.

minutes

0.99 3 2 3 5%

11. Which lines are

parallel?

, ,

perpendicular?

12. The total cost of 5 pens is 95c. What is the average

cost of one pen?

13. What is the area of the

light-pink shaded area?

14. 3.2% = 0.

m 2

15. 875 m = 7 8 = 0.

16. 10% off a €200.00 item = €

17. 10 ÷ 0.5 =

18. 2.5 m by 2 m? m 2

19. What number is halfway between –4 and +6?

5 m

7 m

5 m

7 m

1. If there are US$0.90 to €1.00,

how many euro for US$18.00? €

2. – 10 + + 4 =

3. 18 ÷ 0.5 =

4. 650, 1,050, 1,450, 1,850,

5. Double 27.06.

6. 60 × a = 3,000, so a =

7. An angle is >0º and

WEDNESDAY

THURSDAY

1. Write the coordinates of A.

2. Write the coordinates of B.

3. – 5 + + 9 =

4. An angle is between 90° and 180°.

1. 1.8 × 0.2 =

2. This painting was bought

for €300 and sold for a

3% profit. What was the

selling price?

€

65°

Week 29

5. 5

20 > 1 2 True False

6. A car costs €1,500 plus 20% VAT.

What is the total price? €

7. Double 1 4 .

8. The total cost of 4 sweets is 84c.

What is the average cost of one sweet?

9. 9.3 – a = 8.9, so a =

10. 6y + 2 = 20, so y =

11. 700 m = 7 10 = 0.

12. A jam factory lost 1 10 of its 1,000 jars due to breakage.

How many were lost?

13. Name this 3-D shape.

14. What number is halfway between –2 and +8?

15. Which digit in the decimal 8.75 is the hundredth?

16. Write the fractions from smallest to largest.

17. 5 ÷ 1 2 = 5 × 2 =

, , ,

18. The angles in a rhombus add up to °.

19. 10 ÷ 0.5 = 10 ÷ 1 2 True False

20. What is the number after 999,999?

3. y = °

4. 40 × a = half of 400, so a =

5. Simplify 50

100 .

6. Double 15 1 2 .

7. What is the height of this cuboid?

8. A car is travelling at 30 km per hour.

How long will it take to travel 1 km?

minutes

9. The place value of the 4 in 425,000 is

10. x = °

11. 9y – 2 = 70, so y =

12. 40% = 2 5 = 0.

13. 2.8, 3.1, 3.4, 3.7,

14. What is the next square number after 81?

15. 70% of 50 < 75% of 48 True False

16. The angles in a parallelogram add up to °.

17. Write the fractions from smallest to largest.

, , ,

18. 7 mm = 0. m

19. The chance of landing on a

(a) prime number is %.

(b) 5 is %.

80° y

20. The chance of landing on any number

other than 5 is

in , or %.

x 105°

Review sample

7 3

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 87

PROBLEM-SOLVING

FRIDAY REVIEW

Week 29

Monday

1. How long is this sign? mm

FIX

THEM UP

1. 11

100 + 5 10 = 0.

2. 8,000 ÷ 800 =

13. What number is halfway

between –5 and +7?

14. 75 = y × 3,

so y =

2. It cost €1,200 plus 20% VAT to create the sign.

The total cost was € .

h2o

2.5 litres

1. How many cupfuls?

2,100 mm

Tuesday

2. How many barrels can be filled?

Wednesday

1. 1 : 2, 2 : 4, 3 : 6, :

2. 2 : 3, 4 : 6, 8 : 12, :

Thursday

1. Which spinner has the best chance

of landing on a 7?

2. Write the chance, as a percentage,

of each spinner landing on a 4.

250 ml

This painting was bought

for €500 and sold for a

20% profit. The selling

price was ‹

€ .

4. 5 mm = 0. m

5. What do we call an angle

that is >90º but 4 20

True

False

20. Round 20.4879 to three

decimal places.

21. What is the area of a table

2.4 m by 0.5 m?

m 2

22. A phone costs €200

plus 20% VAT. What is

the total price?

Review sample

€

23. What is the next square

number after 49?

24. What prism has 7 faces?

A = %

B = %

C = %

10 1

12. There are 94 pupils

altogether in 4th, 5th

and 6th Class. How many

children do not bring a bike

to school?

25. A strawberry jam factory

loses 1 10 of its jam to

hungry workers. If they

produce 1,000 per week,

how much do they lose

each week?

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

MONDAY

TUESDAY

1. 0.4 ÷ 0.2 = 0.4

0.2 × 10

10 = 4 2 =

2. The average of 3 numbers is 15. Two of the numbers are 17

and 18. What is the 3rd number?

1. Is N symmetrical? Yes No

2. An octahedron has

faces.

edges.

Week 30

3. There was €500 in a bank account. After 1 year,

2% interest was paid. The new balance was

€ .

4. How many faces has an octahedron?

5. 500, 450, 400, , 300

6. 8 ÷ 0.5 = 8 ÷ 1 2 = 8 × 2 =

7. 1.1% = 0.

8. The total cost of 6 pencils is €1.50.

What is the average cost of one pencil?

9. 800 m = 4 5 = 0.

10. 25% off a €400 item is a saving of € .

11. What number is halfway between –5 and +5?

12. Write the numeral ten million, eight hundred.

13. A television costs €400 plus 20% VAT. What is the

total price? €

14. Which digit in the decimal 8.125 is the hundredth?

15. 9 × 3 = 54 ÷

16. The pencil end is at the 25 cm mark.

How long is the pencil?

17. If a painter charged €3.00 per square metre

to paint a 7 m × 2 m wall, it cost would € .

18. a + 11.7 = 12.5, so a =

19. The area of the house is 1,000 m 2 .

What is the area of the garden?

m 2

c m

11 12 13

14 15 16

3. y + 1,200 = 3,000, so y =

4. 1.7 × 0.2 =

5. – 5 + + 3 =

6. Double 0.65.

7. 9,000 – a = 5,500, so a =

8. Draw as a 90° rotation

clockwise.

9. 1 4 + 1 8 =

vertices.

10. 1 2 < 1 5 True False

11. A car is travelling at 60 km per hour.

How long will it take to travel 10 km?

12. 25% = 1 4 = 0.

13. 3y + 4 = 28, so y =

14. What is the next square number after 9?

minutes

15. What is the chance of selecting a girl's name from a hat

if there are 15 girls’ names and 5 boys’ names?

16. 110 m = 0. km

17. Plot the coordinates (0,1), (0,5)

and (4,3) to form a triangle.

18. Which digit in the decimal

8.125 is the thousandth?

Review sample

50 m

Garden

40 m

50 m

19. What is the perimeter of a regular hexagon with

30-mm sides?

20. Which pairs of sides are parallel?

and

20. The perimeter of the house is

130 m. What is the perimeter

of the garden?

25 m

House

and

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 89

WEDNESDAY

THURSDAY

Week 30

1. 0.6 ÷ 0.2 = 0.6

0.2 × 10

10 = 6 2 =

2. 4 cm = 0. m

3. Double 0.95.

4. Is either S or E symmetrical?

5. y = °

6. – 9 + + 6 =

7. This art was bought for

€400 and sold for a 40%

profit. What was the

selling price?

€

8. 25 =

9. 3 5 + m = 1

10. Name this 2-D shape.

11. 0.2, 0.6, 1, 1.4,

12. Circle the letter that has no line of symmetry.

E B N Y

13. 1 3 of y = 9, so y =

14. 40% = 4 10 = 0.

15. If there are US$0.90 to €1.00, how many euro

for US$6.30? €

16. A computer costs €800 plus 20% VAT.

What is the total price?

€

17. 4.4% = 0.

18. 100 – e = 60, so e =

65° y

19. Write the fractions from smallest to largest.

1. What is the area of a floor 12 m by 11 m?

m 2

2. 0.9 ÷ 0.3 = 0.9

0.3 × 10

10 = 9 3 =

3. An obtuse angle is between ° and °.

4. A car is travelling at 30 km per hour.

How long will it take to travel 5 km?

minutes

5. 1.35 kg = g

6. The total cost of 7 pens is €1.54.

What is the average cost of one pen?

7. 80% = 4 5 = 0.

8. 10 4 10 – 6 10 =

9. Double 0.55.

10. y = °

11. 8 × 5 = ÷ 0.5 = 40

12. What number is halfway between –8 and +4?

13. 1,000 × 0.007 =

14. How many of Box B will

fit evenly into Box A?

15. Round 10.056 to one decimal place.

16. Which digit in the decimal 8.125 is the tenth?

17. Draw a net of a triangular prism.

8 cm

2 cm

Review sample

45°

6 cm

2 cm

18. Halve 12 1 2 .

, , ,

20. How many edges has a tetrahedron?

19. Write the fractions from smallest to largest.

, , ,

20. How many vertices has a cube?

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. An art dealer sold 10 prints at

€85 each. This gave him a total

profit of €170. What was the

original price of a print?

€

2. The delivery cost of each print is €3.95. Deliveries

over 8 items are charged an additional €1.50 per

item. What is the total delivery cost?

€

Vegetables

Flowers

Paving

Tuesday

1. What fraction of the landscaping is the

vegetable garden?

2. What percentage is the flowers? %

the paving? %

Wednesday

1. The tomatoes weighed 4.8 kg.

Draw the needle to show the weight.

2. What weight needs to be

added to make 6 kg?

Thursday

1. 200 g of tomatoes cost 50c. What is the cost of 4.8 kg?

€

2. The shopkeeper found that 10% of the 4.8 kg

was spoiled. What weight of tomatoes can the

shopkeeper sell?

1. 1.2 ÷ 0.2 = 1.2

0.2 × 10

10 = 12 2 =

2. Double 0.85.

3. – 3 + + 9 =

4. The average of 4 numbers

is 10. Three of the numbers

are 9, 8 and 11. What is

the 4th number?

5. What number is halfway

between –4 and +8?

6. 8 × 3 = 3 × = 24

7. How many faces has an

octahedron?

8. Which digit in the decimal

5.268 is the thousandth?

9. 1 3 of y = 9, so y =

10. 2.2% = 0.

11. Halve 8 1 2 .

12.

Which sides are parallel?

13. 8 6 20 – 10

14.

and

20 =

x = °

15. The total cost of 8 sweets is

€2.24. What is the average

cost of one sweet?

110º

16. 9,700 m = km

17. 140 mm = m

18. What is the perimeter

of a regular pentagon

with 90-mm sides?

19. Round 6.043 to one

decimal place.

20. A fridge costs €800 plus

20% VAT. What is the total

price?

€

21. The area of the house is

400 m 2 . What is the area

of the garden?

m 2

22. The perimeter of the

house is 80 m. What is the

perimeter of the garden?

23. 6.3, 6.9, 7.5,

24. If there are £0.60

to €1.00, how many

euro would you get for

£12.00?

€

House

Review sample

20 m

60 m

Garden

25. A pack of cards (1–20) are

shuffled. Tick the chance

of randomly selecting a

multiple of 3.

20% 25%

30% 35%

40 m

Week 30

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 91

MONDAY

TUESDAY

Week 31

1. 0.8 ÷ 0.2 = 0.8

0.2 × 10

10 = 8 2 =

2. 0.96, 0.97, 0.98, 0.99,

3. What is the perimeter of a

regular hexagon with 60-mm sides?

4. – 7 + + 3 =

5. The total cost of four pizzas is €24.

What is the average cost of one pizza? €

6. 1 2 < 1 10 True False

7. 8 253 m = 8 253

1,000 = 8.

8. 7 – 0.04 =

9. Which digit in the decimal 4.705 is the thousandth?

10. 20% = 2 10 = 0.

11. Is the formula: area = l + w correct?

12. 5 2 =

13. A cube has 2-cm by 2-cm faces.

What is the cube’s surface area? cm 2

14. Write three capital letters that are symmetrical.

15. 6% = 0.

, ,

16. Round 3.06 to 1 decimal place.

17. Rotate the triangle 450°

anticlockwise. Draw its new

position.

18. H H T T Circle the chance of a head/tail

or a tail/head.

H T T H

0 0.25

1. 3 4 > 1 2 True False

2. An octahedron has faces.

3. 0.9 ÷ 0.3 =

4. – 4 + + 9 =

edges.

vertices.

5. 75,000 , 150,000 , 225,000 ,

6. 5 450 m = 5 450

1,000 = 5.

7. An angle of 90° is a angle.

8. What is the

perimeter?

9. 66 2 3 % = 2 3 = 0.

10. This is a net of a

11. 6 2 =

12. Is the formula: area = l – w correct?

13. Will a hexagon and a square tessellate together?

14. A cube has 3-cm by 3-cm faces.

What is the cube’s surface area? cm 2

15. Draw the axis of symmetry

on the irregular pentagon.

Review sample

0.50 0.75 1.0

0 1

1 1 3

4 2 4

14 m

25 mm

30 mm

16. Round 6.14 to 1 decimal place.

100 mm

70 mm

17. Tick which would be the best to measure the height of

your teacher.

ruler trundle wheel metre stick

10 mm

15 mm

3 m

9 m

3 m

18. 9% = 0.

19. The value of the 9 in 952,075 is .

8 m

19. Area = m 2

20. 4,000,000 – 400,000 =

20. Perimeter = m

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

WEDNESDAY

THURSDAY

1. 5 ÷ 1 4 = 5 × = 20

2. Write the coordinates

of Point A.

3. Write the coordinates of Point B.

0 1 2 3 4 5

1. – 5 + + 3 =

2. The total cost of 5 drinks is €6.25.

What is the average cost of one drink? €

3. Rotate this rectangle 90° clockwise and draw the

new position.

Week 31

4. 1.07, 1.08, 1.09,

5. What is the perimeter? cm

6. 8 2 =

7. 8 ÷ 0.1 = 8 0.8 80

8. 37 1 2 % = 3 8 = 0.

9. Round 4.3781 to 1 decimal place.

10. A cube has 4-cm by 4-cm faces.

What is the cube’s surface area? cm 2

11. 110% = (decimal)

12. This is a net of a

13. 2 3 × 9 12 =

14. Which digit in the decimal 4.705 is the tenth?

The graph shows the number of sunny days for

the first six months of a year.

15. Which month had

13 sunny days?

16. Which month had the

most sunny days?

17. Which month had the

least sunny days?

SUNNY DAYS

15 cm

20 cm

MONTHS

60 cm

35 cm

4. 1.2 ÷ 4 =

5. 50, 5, 100, 10, 200, 400.

6. 7 945 m = 7 945

1,000 = 7.

7. Which digit in the decimal 4.705 is the hundredth?

8. 1 3 + 1 6 =

9. 5.5 – 0.9 =

10. What is the perimeter?

11. 3 5 < 1 2 True False

12. Match the roads.

Perpendicular = Parallel =

HAPPY STREET

HOLIDAY ROAD

13. 12 ÷ 1 3 = 12 3

14. 80% = 8 10 = 0.

+ – × ÷

15. Is the formula: area = l × w correct?

16. 1 whole = %

150 mm

CHOCOLATE WAY

BEACH STREET

Review sample

80 mm

110 mm

70 mm

18. How many more sunny days had March than January?

19. Which month had fewer sunny days than you might expect?

17. A cube has 5-cm by 5-cm faces. What is its surface area?

cm 2

18. Round 2.056 to 1 decimal place.

19. This is a net of a .

20. Which month had 23 sunny days?

20. 7 × = 28

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 93

PROBLEM-SOLVING

FRIDAY REVIEW

Week 31

1. What is the ratio of

square-based

pyramids to cubes?

Monday

2. What is the ratio of cube faces

to pyramid faces?

Tuesday

1. What is the ratio of triangular

prism edges to cube edges?

2. If the ratio of edges of triangular prisms

to cubes is 36:48, how many of each shape

is there?

Wednesday

1. On a train trip to Dublin, one carriage had 45

passengers to 30 seats. In another carriage, there

were 55 passengers to 30 seats. What is the total

simplified ratio of passengers to seats?

2. On another trip, with the same 2 carriages, the

simplified ratio of passengers to seats was 3:4. How

many passengers were travelling?

Thursday

1. Niall spent 0.3 of his money in one shop and 5 10 in

another shop. He had €12 left. How much money

did he start with?

1. 0.6 ÷ 0.2 =

2. – 6 + + 9 =

3. The total cost of 5 pizzas is

€25.50. What is the average

cost of one pizza?

€

4. 1 10 > 1 3

True False

5. 4 295 m = 4 295

= 4.

6. 2 5 × 10

15 =

1,000

7. 0.1 = %

8. 60,000 , 150,000 ,

240,000 , 330,000 ,

9. 1 3 + 1 3 =

10. What is the perimeter of a

regular pentagon with

45-mm sides?

11. This is a net of a

12. What is the perimeter of

this quadrilateral?

20 mm

13. Area of a square = l × w

True

60 mm

45 mm

False

15 mm

14. A cube has 2-cm by 2-cm

faces. What is the cube’s

surface area?

€

cm 2

2. Jenny's brothers are triplets. The four of them have

an average age of 11. If Jenny is 14 years old, what 15. Complete the magic square.

age are her brothers? 9

8 1

16. An octahedron has

faces.

edges.

vertices.

17. What do we call an angle

that is between 180º

and 360º?

18. 7 ÷ 1 3 = 7 × = 21

19. Rotate this shape 450°

anticlockwise and draw its

new position.

20. 4 2 =

21.

Write the coordinates

of Point A.

22. Write the coordinates

of Point B.

Review sample

23. 30,000,000 – 300,000 =

24. How many degrees has a

circle?

25. 1 8 + 1 4 =

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

MONDAY

TUESDAY

1. 7,000,000 – 700,000 =

2. 25 =

3. 1 ÷ 0.1 =

4. 24 ÷ 1 3 = 24 3

5. Write the numeral ten million, five hundred and twelve

thousand and fifteen.

6. 8% of €10.00 = €

7. What is the place value of the 4 in 2.4 million?

8. The total cost of 6 drinks is €7.20.

What is the average cost of one drink? €

9. How many degrees is the inside angle between

the hands on a clock displaying 9 o’clock?

10. Tick the composite numbers.

15 11 21 7 27

11. 80 × 30 = 24 × y, so y =

12. 4 5 + 2 4 5 =

13. Draw to show a 270° rotation clockwise.

14. Round 15.6073 to three decimal places.

15. Write the formula to work out the area of a rectangle.

area = ×

+ – ÷ ×

16. 1,000 × 0.001 =

17. Tick which would be better to weigh a banana.

kitchen scales

bathroom scales

18. What is the volume of the fish tank?

1. Simplify 18

24 .

2. Write the numeral 3.65 million.

3. How much are the wages if you pay time and

a half for 4 hours (normal rate €10.00 per hour)?

€

4. 7 3 4 = (decimal) .

5. A angle has exactly 90°.

6. 6.05 km = m

7. – 7 + + 3 =

8. 9 45 m =9 45

1,000 = 9.

9. Tick which would be the best to measure the length

of a street.

ruler trundle wheel metre stick

10. If it takes you 5 minutes to travel 6 km, how far will you

travel in an hour?

11. Which digit in the decimal 0.527 is the tenth?

12. Write 49 6 as a mixed number.

13. Round 21.3689 to three decimal places.

14. What is the radius of the circle?

15. What is the surface area of this cuboid?

cm 2

16. 5,000 ÷ (50 × 10 2 ) =

Review sample

1 cm

18. Are 210 and 120 both prime numbers?

17. What is the average of these dance scores?

9.3 8.7 8.8 9.2

18 m

2 cm

3 cm

Week 32

50 cm

cm 3

19. 3.3 > 3 1 5 True False

40 cm 80 cm

19. 0.7 < 8 10 True False

20. If there are ¥116 to €1.00, how many

euro would you get for ¥580? €

20. What shape is the sign?

House

for sale

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 95

WEDNESDAY

THURSDAY

Week 32

1. If there are ¥116 to €1.00, how

many euro would you get for ¥232? €

2. Write the numeral 8.2 million.

3. Simplify 15

18 .

4. 7.092 = m

5. Convert the speed of 1 km in 4 minutes to km/h.

km/h

6. 9 4 5 = (improper fraction)

7. Increase 32 by 0.25.

8. – 5 + + 9 =

9. The total cost of 8 cakes is €4.40.

What is the average cost of one cake?

10. What is the size of Angle a?

11. Change 5 3 8 to an improper fraction.

12. What is the average of these dance scores?

7.8 8.4 7.6 8.2

13. Which digit in the decimal 5.026 is the thousandth?

14. Halve 750.

15. 4y = 280, so y =

16. Write the formula to work out the area of a square.

a = l

a 120°

75° 60°

17. What is the surface

area of this cuboid?

cm 2

1. Increase 40 by 0.75.

2. – 15 + – 2 =

3. 100 × 1.03 =

4. 10 8 m = 10 8

1,000 = 10.

5. 14

100 + 3 10 = 0.

6. 62 1 2 % = 5 8 = 0.

7. Write the numeral five million and five.

8. Halve 8.5.

9. 1,800 , 2,600 , 3,400 ,

10. Draw a net of a cylinder.

11. What is the simplified

ratio of boys to girls if

there are 8 boys

and 24 girls?

12. 6,030 mm = m

13. 6.9 – 1.1 =

14. y = °

15. Round 12.5467 to three decimal places.

16. Tick which would be better to weigh an apple.

kitchen scales

17. 85,000 , 100,000 , 115,000 ,

18. The area of the house

is 400 m 2 . What is the

area of the garden?

m 2

19. The perimeter of the house

is 80 m. What is the

perimeter of the garden?

bathroom scales

50 m

65° 75°

Review sample

5 c m

3 c m

2 c m

30 m

Garden

20 m

House

50 m

18. Write in ascending order.

10 0.1 0.99 1%

19. 100 × 0.003 =

20. 10 × 0.03 =

, , ,

20. 1.5 ÷ 0.3 =

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. What percentage is coloured yellow? %

2. What percentage is coloured blue? %

Tuesday

1. What percentage is coloured red? %

2. What percentage is coloured green? %

1. Colour the beads.

(a) 30% blue.

(b) 40% green.

2. (a) 10% red.

(b) 20% yellow.

Wednesday

Thursday

1. Write in the values of the missing coins.

2. Write in the values of the missing coins.

= €2.75

= €4.25

1. The place value of the 4 in

4,378,200 is

2. Simplify 10

12 .

3. 10 2 – 3 2 =

4. y = °

5. Rotate 450° clockwise.

6. What is the radius of

the circle?

7. 6,000 , 12,000 , 24,000 ,

48,000 ,

8. What is the average of these

dance scores?

7.8 8.4

7.6 8.2

9. 1.6 ÷ 0.4 =

10. 3 1 3 + 3 2 3 =

11.

= €4.25

2 m

The volume of the fish

tank is m 3 .

12. There are 3 fish per cubic

metre. How many fish are in

the tank?

50º 75º

13. Write the formula to

work out the area of a

rectangle.

a = ×

14. The total cost of 9 cakes is

€3.15. What is the average

cost of one cake?

15. 9 2 =

16. – 3 + + 7 =

17. 6y = 360,

so y =

18. 2,075 mm = m

19. Enlarge this line by 4:1.

20. If there are ¥116 to €1.00,

how many euro would you

get for ¥580?

€

21. What is the area of a

rectangular field 100 m by

15 m?

m 2

22. 5 25 m = 5 25

1,000

= 5.

23. Which digit in the decimal

2.347 is the hundredth?

Review sample

14 cm

1.5 m 6 m

14 cm

24. What is your speed if you

travelled 7 1 2 km every 30

minutes?

km/h

25. A 3-D shape has six 2-cm

by 5-cm faces. What is the

shape’s surface area?

Week 32

cm 2

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 97

MONDAY

TUESDAY

Week 33

1. Write the numeral 1.3 million.

2. 2.1 ÷ 0.7 =

3. If you enlarge this line by 4:1, the new line

will equal

cm.

4. Is the formula: diameter = 2 × r correct?

5. Tick which would be better to weigh a potato.

kitchen scales

6. 5 4 m = 5 4

1,000 = 5.

7. 1 2 × 1 4 =

8. 9 2 =

bathroom scales

9. Liam had 5 new different-coloured pencils in his bag. The

chance of randomly choosing a singular colour is

100%. 0.2.

5 in 1. 0.5.

10. What is the average shoe size? 4, 10, 13

11. 10 5 =

12. Plot these coordinates

for a triangle.

(1,1), (5,1) and (5,5)

13. 7.205 kg = g

14. a + 2.3 = 3.1, so a =

15. A cube has six 3-cm by 3-cm square faces.

What is its surface area? cm 2

16. The area of the house is 70 m 2 .

What is the area of the garden?

m 2

17. The perimeter of the house is 34 m.

What is the perimeter of the garden?

18. There are 0.6 euro to 1 Canadian dollar. How many euro

would you exchange for 20 Canadian dollars?

€

19. 10 ÷ 0.1 =

10 × 10

1 10 ÷ 1 10 ÷ 1.0

20. 8,000,000 – 80,000 =

14 m

Garden

1. If there are ¥116 to €1.00, how many euro would you

get for ¥1,160?

€

2. What is the floor area of a kitchen 10 m by 3.5 m?

m 2

3. An octahedron has

faces. edges. vertices.

4. Write the numeral 6.09 million.

5. 63,000 , 71,000 , 79,000 ,

6. Round 14.9721 to three decimal places.

7. 2.5 ÷ 0.5 =

8. 15, 21, 23, 19, 27

What is the average of these ages?

9. Rotate 540° clockwise.

10. 1 2 × 1 2 =

11. What is the chance of spinning a 2?

Show as an 'x' on the chance line.

0 0.25 0.50 0.75 1.0

12. What is the chance of spinning a 1?

Show as a • on the chance line.

13. A shape has six 4-cm by 2-cm faces.

What is the shape’s surface area? cm 2

14. What is the surface

area of this cube?

cm 2

15. 80,000 = 8 × 10y, so y =

16. 6 1 4 – 3 4 =

17. There are 6 euro to 10 Australian dollars. How many euro

would you exchange for 50 Australian dollars?

€

18. 1.07 m = cm

19. Order the fractions from smallest to largest.

, , ,

20. 1 km 750 m = m

1 2

Review sample

30 m

10 m

7 m

House

3 cm

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

WEDNESDAY

THURSDAY

1. Write the numeral 2.75 million.

2. Round 21.5875 to three decimal places.

3. What is the average of these shoe sizes? 4, 7, 5, 3, 6

4. 3 4 , 1 1 4 , 1 3 4 , 2 1 4 , ,

5. What is the length of this line if it is lengthened

1. What is the perimeter of a square with 9-cm sides?

2. 2.4 ÷ 4 =

3. What is the

shaded area? m 2

4. Write the numeral 3.05 million.

4 m

9 m

6 m

3 m

Week 33

by 3:1?

6. The time is 2.30 p.m. in Ireland and 9.30 a.m. in New York

on the same day. What is the time difference?

7. Is the formula: diameter = 4 × r correct?

8. Tick which would be better to weigh a bag of sugar.

9. 1 9 × 1 9 =

kitchen scales

10. Decrease €70 by 0.7. €

bathroom scales

11. Write the prime numbers from 10 to 20.

, , and

12. What should you earn if you received double time

for 6 hours of work? (Normal rate €10.00 per hour.)

€

13. 4 2 + 5 2 =

14. 8.005 m = mm

15. 2 1 2 > 2.055 True False

HEIGHT (m)

Average Height of Children Aged 8–12

16. Which age has an average height of 1.5 m?

17. Which age has the tallest children?

5. 3 55 m = 3 55

1,000 = 3.

6. 3 4 × 1 2 =

7. What is the average? 2, 4, 5, 6, 8

8. 15,000 , 95,000 , 175,000 ,

9. 1 2 + 1 3 =

10. There are 7 euro to 1,000 Japanese yen. How many euro

would you exchange for 5,000 Japanese yen?

€

11. 3.75 + 0.25 =

12. There are 4 roses for every 3 daffodils in a bouquet of 35

flowers. How many daffodils are in the bouquet?

13. 9 =

14. What do you call an angle that is between

180° and 360°?

15. 1 5 of an hour = minutes

16. Is the formula: diameter = 3 × r correct?

17. 7 1 4 < 7.3 True False

Review sample

AGE

18. 2 3 of an hour = minutes

19. y × 3 5 = 3 5 , so y =

20. 6th Class Favourite Cakes

8 children liked chocolate, which is 1 3 of the pie chart.

(a) How many liked lemon?

18. How much taller are 11-year-olds than 9-year-olds?

19. Which age has an average height of 1.44 m?

(b) How many liked carrot?

Fruit

Carrot

Lemon

Chocolate

20. How much taller are 9-year-olds than 8-year-olds?

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 99

PROBLEM-SOLVING

FRIDAY REVIEW

Week 33

Monday

1. Which set of money is the amount given to each of

the 10 pupils who won an equal share of €100?

× 8 × 8 × 6 × 4 × 8

2. There were 12 cars and 5 motorbikes in a car park.

Each car had 1 spare tyre in the boot. In total, how

many tyres were in the car park?

Tuesday

1. 8 pupils equally divided €20.

(a) How much did each get? €

(b) What is the least number of coins each received?

€ × and c ×

2. A bank orders 2 euro coins and 1 euro coins in the

ratio of 2:3. The last order was for €3,000 in 1 euro

coins. What was the value of the 2 euro coins?

€

Wednesday

1. A bank orders €20 notes and €5 notes in the ratio

of 1:5. The last order was for €10,000 in €20 notes.

What was the number of €20 notes?

2. What was the value of the €5 notes? €

Thursday

1. This container has a volume of 60 m 3 .

What is its height?

2. This container has a volume of 120 m 3 .

The height is m.

3 m

× 8

1. 3 5 of an hour =

2. 2.8 ÷ 0.7 =

minutes

3. Write the numeral

3.2 million.

4. Is the formula: diameter of

a circle = d × r correct?

5. What is the surface area of

the cube?

cm 2

6. 7 25 m = 7 25

= 7.

7. 1 4 × 1 2 =

1,000

8. 2 km 310 m = km

9. Plot these coordinates for a

triangle. (1,1), (0,4) and (5,1)

10. Write in ascending order.

3%, 0.3, 8 1 2 , 51%

, ,

11. Which spinner has a 0.5

chance of landing on 2?

A B C

12. Write the numeral twenty

point three six.

13. 2.03 m = cm

14. There are 0.6 euro to 1

Canadian dollar. How many

euro would you exchange

for 10 Canadian dollars?

€

15. 8.75 + 0.25 =

16. What is the probability, as a

fraction, of spinning a

17. Tick which would be the

best to measure the length

of a computer screen.

ruler

trundle wheel

metre stick

18. 3 2 + 5 2 =

19.

Enlarge this line by 3:1.

20. 36 =

21.

Draw to show a rotation of

540° clockwise.

22. Round 16.5093 to

3 decimal places.

Review sample

4 m

8 m

5 m

1 1

4 cm

2 2 2

4 cm

2 1

23. Increase €200 by 0.5.

€

24. Order the fractions from

smallest to largest.

25. – 3 + + 6 =

, ,

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

MONDAY

TUESDAY

1. Simplify 10

15 .

2. 3.5 ÷ 0.5 =

3. Complete the formula: diameter = ×

4. 8 300 m = 8 300

1,000 = 8.

5. 3 5 + 4 5 =

6. 1 2 × 3 4 =

7. Write the numeral 2.08 million.

8. 1,000 , 3,000 , 9,000 , 27,000 ,

9. The chance of a baby being born a girl is

0%. 50%. 100%.

10. What is the radius of a circle which has

a 50-cm diameter?

11. a ÷ 3 = 5, so a =

12. 8 2 =

13. Name this shape.

14. A cube has six 2-cm by 2-cm faces.

What is the surface area?

cm 2

15. What is the place value of the

7 in 3.067?

16. There are 6 euro to 10 Australian dollars.

How many euro would you exchange for

20 Australian dollars?

€

17. 2 3 of = 14

18. 1 8 km = m

19. 59 × 9 =

20. What is the average of the dance scores?

4.8 4.3 4.2 4.7

1. 3.6 ÷ 0.6 =

2. What is the volume of a trench 3 m by 2 m by 1 m?

m 3

3. Tick which would be better to weigh cooking ingredients.

kitchen scales

4. Simplify 2 3 9 .

bathroom scales

5. What is the perimeter? mm

6. Write the numeral 2.8 million.

7. 1 4 × 1 2 =

8. 11,000,000 – 1,500,000 =

9. There are 7 euro to 1,000 yen. How many

euro would you exchange for 2,000 yen?

€

10. Reduce the line by 3:1.

11. What is the place value of the 3 in 1.073?

12. 11 2 =

13. Tick which would be the best to measure the capacity

of a bucket.

5,000-m container

1,000-m jug

100-m beaker

14. y = °

15. 75 × 45 = 3,370 3,375

3,371 3,372

16. 1 2 = 4 = 6 = 8

17. 100 × 1.01 =

18. Order these from smallest to largest.

0.3

, , , ,

19. 1.96, 1.97, 1.98, 1.99,

80°

55° y

Review sample

40 mm

12 mm

4 0

38 mm

50 mm

Week 34

20. 49 × 9 =

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 101

WEDNESDAY

THURSDAY

Week 34

1. Write the numeral 6.057 million.

2. 4.5 ÷ 0.9 =

3. Simplify 3 12

15 .

4. Complete the formula: diameter = ×

5. What is the perimeter of this

quadrilateral?

6. 1 2 × 1 5 =

7. 39 × 9 =

8. 1 5 + 1 2 =

9. Simplify 36:6 = :

10.

Reduce this line by 4:1.

11. 10,000,000 × 10 =

12. Order these from smallest to largest.

0.88

5 1 1 5

, , , , ,

13. 39 × 25 × 40 =

14. The angles in a quadrilateral add up to °.

15. 0.097, 0.098, 0.099,

16. Convert the speed of 1 km in 12 minutes to km/h.

17. 2 3 + 2 3 + 2 3 =

km/h

18. Write two capital letters that have a horizontal line

of symmetry.

and

19. What is the area of the garden?

m 2

20. The perimeter of the house

is 80 m. What is the perimeter

of the garden?

28 mm

60 m

42 mm

25 mm

40 m

20 m

40 mm

Garden

House

20 m

1. 8.1 ÷ 0.9 =

2. 1 6 + 1 2 =

3. Reduce this line by 5:1. mm

The time difference is

and

minutes.

5. Write the numeral 10.65 million.

6. Simplify 20

60 .

7. 1,100,000 – 300,000 =

8. 4 25 m = 4 25

1,000 = 4.

9. 2 5 × 1 2 =

10. Show as a 90° rotation clockwise.

11. 1 5 of an hour = minutes

12. 1 4 + 4

13. 10 4 =

14. 4 =

10 APRIL 11 APRIL

10:45 02:05

100 =

15. 6 m = mm

16. 3.85, 3.9, 3.95, , 4.05,

17. Draw a dot at (5,1)

and label it 'A'.

18. Draw a dot at (1,5)

and label it 'B'.

hours

Review sample

19. There are 0.6 euro to 1 Canadian dollar. How many euro

would you exchange for 5 Canadian dollars?

€

20. Round 18.3678 to three decimal places.

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. The surface area of this cube is 24 cm 2 .

The volume is

cm 3 .

2. The surface area of this cube is 150 cm 2 .

The volume is cm 3 .

Tuesday

6th Class Library Borrowings

Number of Books

1 2 3 4 5 6

School Weeks

1. What possibly occurred in Week 4?

2. In Week 6, there were 40 books borrowed.

Plot this on the line graph. What possible reason/s

could there be for the decline of books borrowed

from the previous week?

Wednesday

1. A juice drink stall used 30% of its 40 bags of

oranges on Monday. How many bags were left?

2. Each bag of oranges averages 800 m of juice.

How much orange juice was made on Monday?

1. Write the numeral

4.73 million.

2. 4.5 ÷ 0.5 =

3. y × 200 = 1,000,

so y =

4. Reduce this line by 3:1.

5. 100 × 1.001 =

6. Complete the formula:

diameter = ×

7. 9.85, 9.9, 9.95,

8. 5 2 m = 5 2

= 5.

9. 1 5 × 1 2 =

1,000

10. What is the place value of

the 4 in 2.624?

11. The chance that it will rain

today is

12. 11 2 =

0%. 50%.

100%.

13. A shape has eight 3-cm

by 4-cm faces. What is the

shape’s surface area?

cm 2

15. There are 6 euro to 10

Australian dollars. How

many euro would you

exchange for 30 Australian

dollars?

€

16. What is the average of 60,

90 and 30?

17. 3 4 + 3 4 + 3 4 =

18. 1,000,000 × 10 =

19. Show as a 270º rotation

clockwise.

20. 1 3 = 9 = 12

21. Round 21.5986 to

3 decimal places.

22. 200 seconds =

min

sec

23. The angles in a trapezium

add up to

°.

24. 7 10 + 7 10 = (decimal)

Review sample

25. The surface area of this

cube is 96 cm 2 .

The dimensions of each

square face are

Week 34

Thursday

1. Tomatoes cost 80c per 200 g. What is the cost of

14. y = °

cm by

cm.

5 kg tomatoes? €

45º 60º

2. The tomatoes were reduced in price by 50%.

What is the cost of 4 1 5 kg?

€

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 103

MONDAY

TUESDAY

Week 35

A 60 °

B 88 °

60 ° a

b 47 °

90 ° 45 °

1. Find the missing angles.

Angle a = ° Angle b = °

1. 1 3 > 0.1 True False

2. 9,000,000 ÷ 10 =

3. Change 8 3 8 to an improper fraction.

4. 1 2 + 1 3 =

5. A stack of 20c coins = €7.80. How many coins?

Angle c = °

2. Write 2 3 4 as an improper fraction.

3. Enlarge this line by 3:1. mm

4. 40 hundred thousands =

5. 3.3 ÷ 0.3 =

6. Complete the formula: area of a square = ×

7. 1 2 × 2 5 =

8. 2 3 of = 28

9. y = °

10. A cube has six 5-cm by 5-cm faces.

What is surface area of this cube? cm 2

11. 1 2 + 1 10 =

12. 80 + 80,000 + 900 =

13. Name this shape.

14. 1 2 > 0.358 True False

15. 6% = 0.

16. 4,000 , 400 , 40 , 4 ,

17. How many of Box B will fit

evenly into Box A?

18. If there are ¥116 to €1.00, how many euro would

you get for ¥348? €

19. Write the coordinates of

A .

B .

C .

y 50°

6 mm

5 cm

4 mm

8 mm

2 mm

6. 8.03 m = mm

7. 30% of €300.00 = €

8. Reduce this line by 2:1.

9. If you are paid time and a half (normal rate is €8.00 per

hour), what do you earn after 6 hours work?

€

10. How many faces has an octahedron?

11. 9% = 0.

12. Draw to show a 180° rotation clockwise.

13. 900 , 90 , 9 , 0.9 ,

14. 7 7 m = 7 7

1,000 = 7.

15. y = °

The graph shows the number of rainy days for the

first six months of a year.

16. Which month had 15 rainy days?

Review sample

17. Which month had

the most rainy days?

18. Which month had the

least rainy days?

19. How many more rainy days had January than June?

RAINY DAYS

MONTHS

20. What type of triangle in Question 19?

20. Which month had 20 rainy days?

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

WEDNESDAY

THURSDAY

1. 5 1 4 – 3 4 =

2. 1 5 < 0.1 True False

3. 2.7 ÷ 0.3 =

4. Complete the formula: diameter = ×

5. Enlarge the line by 4:1. mm

6. 1 5 × 1 2 =

7. 100 × 0.01 =

8. y = °

9. Parts of South America are 4 hours behind GMT. If it is

3 a.m. in London, what time is it in South America?

10. What is the shaded area? m 2

11. 2.43 + 6.54 =

12. Draw the rectangle after a 540° rotation anticlockwise.

13. 1.25 million + 0.75 million =

14. 3

10 = %

15. 4.04 kg = g

16. 8.4, 8.6, 8.8, , 9.2

17. What is the missing outcome for a two coin toss?

5 m

18. 40% off a €100.00 item saves you € .

19. Round 3.455 to 1 decimal place.

20. If you are cycling at 30 km/h, how far can you cycle in

10 minutes?

15 m

5 m

H T T

Review

5 m

8 m

50° 50°

1. 125,000 , 250,000 , 375,000 ,

2. What is the perimeter?

3. Tick which container would be the best to measure the

capacity of a large bottle of lemonade.

5,000-m container

1,000-m jug

100-m beaker

4. 0.099 > 1 10 True False

5. Double 75.5.

6. 2.4 ÷ 0.6 =

7. 9 99 m = 9 1,000 = 9.

8. 1 2 × 4 5 =

9. 89 × 9 =

10. Reduce this line

by 6:1.

11. If your normal rate is €10.00 per hour, how much do

you earn after 6 hours at time and a half?

€

12. There are 7 euro to 1,000 Japanese yen. How many

euro would you exchange for 3,000 Japanese yen?

€

13. 3.5 – 0.8 =

14. Double the shape.

15. 1 5 + 4 5 + 3 5 =

16. 25 =

17. 7.05 = m

18. 3 ÷ 1 4 = 3 × = 12

19. Round 6.372 to 1 decimal place.

20. If you are cycling at 30 km/h, how far will you cycle

in 20 minutes?

28 mm

45 mm

sample

28 mm

Week 35

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 105

PROBLEM-SOLVING

FRIDAY REVIEW

Week 35

Monday

A B

3 4 5 2 C

8 2 3 9

1 10

2 9

5 4

1. Which spinner has the best chance of landing on

a 2?

1. 1 2 + 1 3 =

2. 4 5 × 1 2 =

3. 2.36 kg = g

4. 12.2, 12.4, 12.6, 12.8,

5. 4 10 = %

14. 25% of 160 =

15. 400 + 90,000 + 50 =

16. 89 × 8 =

17. Double this shape.

2. Write the chance, as a percentage, of each spinner

landing on a number greater than 5.

A = %

B = %

C = %

Tuesday

6th Class Happy Moments in School

1. What percentage voted for friendship?

2. What percentage voted

for music?

Wednesday

At a school camp, 40 boys played hide and seek in

a forest. When the game was over, 36 children had

been found.

1. What percentage was found? %

2. What fraction was not found?

Thursday

1. The 2 rectangles have the same area.

What is the length of Side a?

Music

Homework

Friendship

Longer

Lunch

6. Reduce this line by 3:1.

7. The 4 outcomes of a

two-coin toss are:

H H T T

H T

8. 1 2 < 0.4999

True

9. 6.4 ÷ 0.8 =

False

10. Parts of South America are

4 hours behind GMT. If it is

4.30 a.m. in London, what

time is it in South America?

11. A stack of 20c coins

= €9.80. How many coins?

12. The chance of rolling an

even number on a dice is

13.

0%. 50%.

100%.

18. 2 349 m = 2 349

= 2.

1,000

19. Show as a rotation of 450°

clockwise.

20. 9 2 =

21. Round 5.232 to 1

decimal point.

22. If you can cycle at a speed

of 24km/h, how far can

you cycle in 10 minutes?

23. A worker's pay is €7.00

per hour. What is earnt

for 3 hours at time and

a half?

€

24. 4 ÷ 1 3 =

Review sample

5 m

15 m

5 m

4 m

6 m

25. 2.3 – 0.7 =

14 cm

8 cm

7 cm

The shaded area is

2. The areas of the 2 rectangles are equal.

m 2 .

What is the width of Side b?

20 cm

b 28 cm

7 cm

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

MONDAY

TUESDAY

What is the time difference?

2. 2.3 – 0.8 =

3. 2.5 ÷ 0.5 =

4. 35, 75, 115,

5. 80 + 700 + 2,000 =

6. 904 m = 0. km

7. 4 5 × 1 2 =

8. The chance you will watch TV today.

hours

0% 50% 100%

9. A 3-D shape has ten 2-cm by 2-cm faces.

What is the shape's surface area? cm 2

10. Write in ascending order.

0.05 0.3 2%

, ,

11. Round 0.375 to 1 decimal place.

12. Write three capital letters that have more than

one line of symmetry.

, ,

13. A stack of 50c coins = €14.50. How many coins?

14. There are 0.6 euro to 1 Canadian dollar. How many euro

would you exchange for 3 Canadian dollars?

€

15. 36 =

10 MARCH 11 MARCH

00:45 00:45

16. Which would you use to measure the length of a pencil?

mm cm m km

17. Draw a net of a triangular prism.

1. 7.25, 7.19, 7.13, 7.07,

2. 2 1 2 , 2 3 4 , 3 1 4 , 4,

3. 4.1 + 0.9 =

4. 3.6 ÷ 0.4 =

5. 185 cm = m

6. Complete the formula: area of a rectangle = ×

7. 1 2 × 6 10 =

8. 100 × 0.05 =

9. What is the simplified ratio of teachers to pupils

if there are 30 teachers and 150 pupils?

10. 6 35 m = 6 35

1,000 = 6.

11. Round 0.831 to 1 decimal place.

12. Which would you use to measure the weight of an adult?

g kg t

13. Draw the lines of symmetry on the

equilateral triangle.

14. Write in descending order.

0.11 0.3 20%

15. 400,000 × 10 =

, ,

16. What is the perimeter of a regular pentagon with

6-cm sides?

17. Write the numeral seven hundred and two thousand

and forty-five.

Review sample

18. Write from smallest to largest.

0.75 0.2 0.25 0.8

, , ,

Week 36

19. Simplify 20

30 .

18. 10 × = 8 × 5

19. The angles in a triangle add up to °.

20. What is the simplified ratio of boys to girls if there are

30 boys and 40 girls?

20. The painting was purchased for €150.

It was sold for a profit of 20%.

What was the selling price?

€

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 107

WEDNESDAY

THURSDAY

Week 36

1. 300 × e = 2,700, so e =

2. 9, 9 1 3 , 10, 11,

3. 2.1 ÷ 0.3 =

4. 1 4 × 8 10 =

10 MARCH 11 MARCH

02:30 01:30

What is the time difference?

6. 8.3 + 0.7 =

7. 3 4 of an hour = minutes

8. A 3-D shape has ten 1-cm by 3-cm faces.

hours

What is the shape’s surface area? cm 2

9. 4.85 million + 1.15 million = million

10. There are 6 euro to 10 Australian dollars. How many

euro would you exchange for 5 Australian dollars?

€

11. 8.96 – 5.05 =

12. Circle the chance (as a decimal) of landing on 2.

0 0.25

13. Circle the chance (as a fraction) of landing on 1.

14. The area of the house is

1,200 m 2 . What is the area

of the garden?

m 2

0.50 0.75 1.0

0 1

1 1 3

4 2 4

60 m

20 m

15. The perimeter of the house is 140 m.

What is the perimeter of the garden?

30 m

16. Which would you use to measure the weight

of a ship? g kg t

17. What is the place value of the 5 in 48,250?

18. Will a parallelogram and an isosceles triangle

House

40 m

Garden

80 m

20 m

30 m

60 m

1. 3 1 5 , 3 2 5 , 3 4 5 , 4 2 5 ,

3. Draw a dot at coordinate

(0,4) and label it ‘A’.

4. Draw a dot at coordinate

(2,5) and label it ‘B’.

5. 4.9 ÷ 0.7 =

6. Complete the formula: diameter = ×

7. 609 m = 0. km

8. 4 5 × 1 4 =

9. 9 2 m = 9 2

1,000 = 9.

10. There are 7 euro to 1,000 Japanese yen. How many euro

would you exchange for 4,000 yen?

€

11. 10,000 × 0.001 =

12. 5.293 + 2.406 =

13. 3 4 × 12

Coin

10 =

14. Simplify 3 16

15. – 2 + – 3 =

20 .

16. If you are cycling at 18 km/h, how far can you cycle in

10 minutes?

Number

of Coins

20c 14 €

Favourite 6th Class Colours

€ Value

50c €8.50

Review sample

Black

Blue

Red

Purple

White

17. 32 pupils were surveyed.

How many liked black?

18. What percentage of

the class liked black?

tessellate together?

19. If you are cycling at 32 km/h, how far will you travel

in quarter of an hour? km

19. What fraction of the class liked purple?

20. How many liked blue?

20. Simplify 15

50 .

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

48 mm

1. The time is 9.20 a.m. in

Ireland and 10.20 a.m. in

France. What is the time

difference?

16. The painting was bought

for €200. It was later sold

for a profit of 15%, or

€ .

Week 36

1. The length of the car is 4,800 mm.

What is the scale of the drawing?

1 mm = mm

2. A tennis racket costs €60. A club had 20 new

members. How much change from €1,500 would

there be if new rackets were purchased for the

new members?

€

Tuesday

0 0.25 0.50 0.75 1.0

1. Circle the chance of landing on 2.

2. Place a dot on the chance of landing on 5.

Wednesday

1. The surface area of this cube is

54 cm 2 . The volume is

cm 3 .

2. The surface area

of this cube is cm 2 .

The volume is cm 3 .

Thursday

1. Work out the missing angles.

a = ° b = ° c = °

2. Colour the congruent triangles

within the pentagon.

(Hint: congruent means having

exactly the same shape and size)

36°

108°

8 c m

108°

36°

36° 36°

2. Simplify 42

48 .

3. 5.6 ÷ 0.8 =

4. 1 4 × 1 5 =

5. A stack of 50c coins

= €18.50. How many coins?

6. A 3-D shape has ten 5-cm

by 1-cm faces. What is the

shape’s surface area?

cm 2

7. 2,070 mm = m

The time difference is

9. + 4 – + 2 =

10. 5, 5 1 4 , 5 3 4 , 6 1 2 ,

hours.

11. 4 × = 2 × 6

12. 8.3 + 0.7 =

13. What is the perimeter of a

regular hexagon with

10-cm sides?

14. 1,000 × 0.005 =

15. There are 0.6 euro to

1 Canadian dollar. How

many euro would you

exchange for 20 Canadian

dollars?

€

8 MARCH

04:30

9 MARCH

04:30

17. Complete the formula:

diameter = ×

18. Write in descending order.

0.32 15%, 2.1

, ,

19. 7 3 m = 7 3

1,000

= 7.

20. If you were cycling at

36 km/h, how far would

you travel in 10 minutes?

21. Which would you use to

measure the weight of an

apple?

22. 9 =

g kg t

23. What is the simplified ratio

of boys to girls if there are

80 girls and 40 boys?

Review sample

24. 3 4 × 3 9 =

25. Write the numeral 1.05

million.

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 109

MONDAY

TUESDAY

Week 37

Enlarge this line by 3:1.

2. Which would you use to measure the amount of orange

juice in a glass?

3. Write the numeral 2.05 million.

1. 2 3 > 1 2 True False

2. The chance of rolling an odd number on a dice is

0%. 50%. 100%.

Reduce this line by 2:1. mm

4. 4.8 + 0.8 =

4. A 3-D shape has ten 2-cm by 2-cm faces.

What is the shape’s surface area?

cm 2

5. Name this shape.

6. 8

10 = 0.

7. 29 ÷ 0.5 =

8. 10 one hundred thousands, 10 ten thousands,

and 10 tens equals

9. There are 6 euro to 10 Australian dollars. How many euro

would you exchange for 50 Australian dollars?

€

10. Which would you use to measure the height of a house?

mm cm m km

11. 14.07 m = mm

12. Complete the formula: diameter = ×

13. Which digit in 103.465 is in the hundredths place?

14. Write 3 1 3 as an improper fraction.

15. 4

10 of an hour = minutes

16. What is the average of the test scores 80, 35 and 35?

17. 6.5 ÷ 0.5 =

5. 5 , 50 , 500 , 5,000 ,

7. Plot the coordinates

(3,5), (5,2) and (1,2).

Join them in order.

What shape have you drawn?

8. 1 2 × 8 10 =

9. A 3-D shape has ten 1-cm by 3-cm faces.

What is the shape’s surface area?

10. 6 + 1,000 + 60,000 =

cm 2

11. Write 19 3 as a mixed number.

12. 19.356 kg = g

13. Write the numeral 5.01 million.

14. 3 5 of an hour = minutes

15. 2 10 = 0.

16. What is the perimeter

of this pentagon?

Draw to show a

rotation of 270° clockwise.

17. The circumference of a circle is approximately

2 3 4 times longer than the diameter.

0 1 2 3 4 5

Review sample

9 mm

18. 1 2 × 4 10 =

19. A triangular prism has

faces. edges. vertices.

18. At 28 km/h, what is the distance travelled in 15 minutes?

19. Circle –6 on the number line.

20. This is a net of a

20. (4 × 5) – 8 =

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

WEDNESDAY

THURSDAY

1. 12,051 m =

2. 3.6 ÷ 0.3 =

3. 4 1 10 , 4 3 10 , 4 7 10 , 5 3 10 ,

4. 90 + 70,000 + 4,000 =

5. There are 7 euro to 1,000 Japanese yen. How many euro

would you exchange for 5,000 Japanese yen?

1. Write the numeral 4.01 million.

2. 4.8 ÷ 1.2 =

3. 8 10 × 1 4 =

4. There are 0.6 euro to 1 Canadian dollar. How many euro

would you exchange for 10 Canadian dollars?

€

Week 37

€

5. 4 9 × 3 8 =

6. 4 5 > 0.79 True False

7. Complete the formula:

area of a square = ×

8. How many edges has a pentagonal pyramid?

9. 3 4 × 2 3 =

10. When this net is assembled, the cube will have a surface

area of cm 2 .

11. How many more millilitres are needed

to fill the jug?

12. y = °

13. 4 5 × 1 2 =

14. The time is 2.15 p.m. in Ireland and 3.15 p.m. in Spain.

What is the time difference?

15. 1% = 0.

16. Tick the largest.

17. 1.3 + 0.7 =

18. 1 3 = %

19. What is the floor area of a room 8 m by 6 m?

m 2

4 cm

20. Plot the coordinates

(1,3), (4,3), (4,1) and (1,1).

What shape have you drawn?

4 cm

75º y

6. 49 =

7. How many degrees has a triangle? °

8. Can an oval and a circle tessellate?

9. 5 3 = 5 × 5 × 5 =

10. The next 3 multiples of 8, from 64, are

, and .

11. 11, 15, 20, 26, , 41

12. Area = m 2

13. Perimeter = m

14. 3.25 = %

15. 12 – 0.7 =

16. 4.1, 8.2, 16.4,

17. Write the composite numbers from 11 to 20.

, , , , and

18. Tick the heaviest.

4 × 7,000 g

3 × 9,000 g

6 × 4,000 g

Review sample

19. 2.09 + 0.01 =

20. What is the average of the following numbers?

3, 5, 4, 7, 9, 4 and 3

4 m

5 m

9 m

3 m

4 m

1 m

0 1 2 3 4 5

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 111

PROBLEM-SOLVING

FRIDAY REVIEW

Week 37

Monday

A B C

3 9

1. Which spinner has the best chance of landing on a 3?

2. Write the chance, as a percentage, of each spinner

landing on a number less than 5.

A = %

B = %

C = %

12 MARCH

5.00 P.M.

Tuesday

Wednesday

1. The volume of this storage box

is 60 m 3 . The height is

2. The volume of this storage

box is 120 m 3 . The height is

36 HOURS

LATER

2 2 DAYS

EARLIER

2 JUNE

9.30 P.M.

4 m

3 m 4 m

6 m

1. Double 4.07.

2. Which would you use to

measure the amount of tea

in a mug?

3. 2.4 ÷ 0.5 =

How many more millilitres

are needed to fill this jug?

5. 90,000 + 3 + 600 =

6. What is the simplified ratio

of teachers to pupils if there

are 10 teachers and 320

pupils?

7. 0, 1, 1, 2, 3, 5, 8,

8. Which would you use to

measure the length of a

book?

9. 20 one hundred thousands

and 20 ten thousands

10. Which digit is the tenth

in 63.045?

14. The next 3 multiples of 7,

from 49, are

15. 4 10 × 1 2 =

, and .

16. There are 6 euro to

10 Australian dollars.

How many euro would you

exchange for 20 Australian

dollars?

€

17. Tick the longest.

0.3 m

1,200 mm

40 cm

18. Which would you use to

measure the weight of

a leaf?

g kg t

19. Write 21 6 as a mixed number.

20. Write the numeral

7.05 million.

21. Tick the largest.

House

for sale

22. The sign has

sides.

Review sample

23. What is the average of the

following shoe sizes?

12, 8, 9 and 11

Thursday

1. What percentage is shaded blue? %

2. What percentage is

shaded orange? % unshaded? %

11. 3 2 10 = %

12. Draw a 90º rotation

clockwise.

13. Enlarge line by 5:1.

7 m

8 m

5 m

12 m

24. Area = m 2

25. Perimeter = m

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

MONDAY

TUESDAY

1. 3 ÷ 0.3 =

2. 6 × 8 =

3. 60 mm = 0. m

4. Which would you use to measure the amount

of yogurt in a small pot?

5. What is the place value of the 3 in 2.3 million?

6. 1 2 × 2 10 =

7. How many vertices has a cube?

8. 4.05 + 0.85 =

9. (500 ÷ 25) ÷ 4 =

10. 2.7 + 0.9 =

11. There are 7 euro to 1,000 Japanese yen. How many euro

would you exchange for 2,000 Japanese yen?

€

12. Which would you use to measure the coastline of Ireland?

mm cm m km

13. 900 , 2,700 , 8,100 ,

14. The painting was bought for €200.

It was later sold for a profit of

15%. What was the selling price?

€

15. 750 m = 3 4 =

16. Tick which you would use to measure the weight of a car.

g kg t

17. Name this 3-D shape.

Painting

Request

A Vertical pic

to go with this

green page.

1. 90 × 8 = 720, 89 × 8 =

2. Calculate the shaded area.

m 2

3. 2.09 + 0.77 =

4. 4.89 km = m

5. 15% + 2 5 + 0.05 = %

6. 8.2 + 0.8 =

7. 1 3 × 3 4 =

8. 650,000 + = 1,000,000

9. What is the place value of the 9 in 3.09 million?

10. 1.8 ÷ 0.6 =

11. Complete the formula:

area of a rectangle =

12. 63 is a multiple of 9. True False

13. 2 ÷ 1 4 =

14. , 0.99, 0.98, 0.97

15. Decrease €400 by 80%.

16. 1 2 × 1 4 =

Average Toothbrushing Times for 7- to 11-Year-Olds

17. At which age did

boys spend less

time brushing?

Review sample

18. At which age

did girls start

brushing less?

Brushing Time (seconds)

135

120

105

4 m

9 m

2 m

6 m

Week 38

18. 50 × a = 300, so a =

19. 95% of €100.00 = €

20. What is the lowest common denominator of 3 4 and 2 10 ?

19. At which age did boys

start brushing the longest?

20. At which age did girls start brushing the longest?

8 9 10 11

Age

Boys

Girls

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 113

WEDNESDAY

THURSDAY

Week 38

1. How many thousands in one million?

2. Which would you use to measure the amount of water

in a watering can?

3. 4.5 ÷ 0.9 =

4. 6.04 + 0.79 =

5. What is the place value of the 2 in 2.45 million?

6. 102 – 42 =

7. 6

10 × 1 2 =

8. There are 0.6 euro to 1 Canadian dollar. How many euro

would you exchange for 5 Canadian dollars?

€

9. Which spinner has a 50% chance

of landing on 4?

10. Which spinner has a 0.25 chance

of landing on 2?

11. Which would you use to measure the length

of a pencil case?

mm cm m km

12. 2.02 km = m

13. Write the missing angle.

14. 100 × 1.05 =

15. Colour to –3 °C on the thermometer.

16. The diameter of a circle is 3 cm.

Therefore, the circumference is

approximately

cm.

17. If a whiteboard is 5 m long and

1.2 m wide, what is its area?

60°

+5°

+4°

+3°

+2°

+1°

0°

–1°

–2°

–3°

–4°

–5°

1. 1 2 × 4 5 =

2. How many hundreds in one million?

3. Area = m 2

4. Perimeter = m

5. 1

100 > 1 5 True False

6. 8, 8 1 3 , 9, 10, 11 1 3 ,

7. 5 20 m = 5

1,000 = 5.

8. What is the place value of the 8 in 3.78 million?

9. y = °

10. (700 ÷ 25) ÷ 4 =

11. Complete the formula: diameter =

12. Tick which you would use to measure the weight

of a pencil.

g kg t

13. A pentagon's angles add up to

°.

14. How many vertices has

a pentagonal prism?

15. Draw a dot on coordinates (3,5), (5,5), (5,3) and (3,3).

Join them in order.

16. 2 3 of 12 =

17. 64 =

18. How many faces has a cube?

y 35°

What shape have you

drawn?

Review sample

13 m

6 m

5 m

6 m

3 m

4 m 4 m

m 2

18. What is the whiteboard’s perimeter?

19. The LCD of 1 8 and 1 10 is .

20. 6.4 ÷ 0.8 =

19. 6 + 4 × 5 =

20. 4 km + 300 m = m

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. €50.00 was divided between Adam and Aisling in

the ratio 7:3. How much did each child get?

Adam: € Aisling: €

2. The ratio of boys to girls in a school is 4:5. If there

are 200 boys, how many

(a) girls are in the school?

(b) pupils attend the school altogether?

Tuesday

A B C

1. Which spinner has the

best chance of landing on a 7?

6 5

2. Write the chance, as a percentage, of each spinner

landing on an odd number.

A = %

B = %

C = %

Wednesday

1. This new car park allocated 250 m 2

for 10 cars. How many cars can be

parked in this car park?

2. The cost to pave the car park is

€250,000 per hectare. How much

will it cost to pave the car park?

€

Thursday

1. 100,000 20,000 ×

10,000 ×

5,000 ×

2,500 ×

200 m

1. (900 ÷ 25) ÷ 4 =

2. 80 mm = cm

3. 70 × 6 = 420

69 × 6 =

4. 3, 8, 13, 18,

5. 2.7 ÷ 0.3 =

6. 4.06 + 0.67 =

7. What is the value of the 4 in

2.46 million?

What is the length of

this sign?

9. There are 6 euro to

10 Australian dollars.

How many euro would

you exchange for 30

Australian dollars?

€

10. Write 5 3 6 as an improper

fraction.

11. Which would you use to

measure the capacity of a

tablespoon?

12.

2,400 mm

Painting Request

A Horizontal pic please.

This painting was bought

for €200 and later sold

for a 60% profit.

What was the profit?

14. y = °

15. The LCD of 1 5 and 1 4

is .

16. What is the perimeter

of this regular pentagon?

17. 3 4 × 1 3 =

18. Name this shape.

19. Complete the formula:

area of a rectangle

20. 390,000 +

= 1,000,000

21. A tank holds 1,000 . If

it is 85% full, how many

litres is it holding?

22. If a whiteboard is 1.5 m

long and 2 m wide, what

is its area?

m 2

23. Each angle in a square has

Review sample

100 m

40 mm

°.

24. How many hundreds in

one million?

25. Draw a dot on the

coordinates (0,3), (3,5)

and (4,1). What 2-D shape

have you drawn?

60º y

Week 38

2. 100 1,000 ÷

10,000 ÷

100,000 ÷

1,000,000 ÷

€

13. 6.1 + 0.9 =

0 1 2 3 4 5

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 115

MONDAY

TUESDAY

Week 39

1. 5.5 ÷ 1.1 =

2. 1.01 > 1.11 True False

3. Enlarge this line by 3:1. mm

4. Round 12.567 to two decimal places.

5. A hexagon's angles

add up to °.

1. 2.009 < 2.07 True False

2. 1, 4, 9, 16, 25,

3. Kate scored 7 10 in a spelling test. Write this as a percentage.

4. A stack of 2.5-kg bags of salt weighed 200 kg.

How many bags of salt were there?

6. 1 2 + 1 4 =

7. 750 g = 3 4 kg = 0. kg

8. 407 m = 0. km

9. 5 2 =

10. 42,500 m = km

11. Write 17 7 as a mixed number.

12. 4% = 0.

13. Which would you use to measure the amount of cough

syrup in a bottle?

14. There are 7 euro to 1,000 Japanese yen. How many euro

would you exchange for 3,000 Japanese yen?

€

15. Parts of the USA are 6 hours behind GMT. If it is 2.15 p.m.

in London, what time is it in the USA?

16. At 36 km/h, how far can you travel in 1 1 2 hours?

17. Which would you use to measure the length of the

playground?

mm cm m km

18. If you normally earn €10.00 per hour and do 5 hours

overtime at time and a half, how much should you earn?

€

19. 650, 500, 350,

20. Round 25.4378 to three decimal places.

5. 29,000 mm = m

6. Reduce the line by 6:1.

7. 0.4 × 0.3 =

8. 8 10 – 5 10 =

9. (3 × 4) + 2 =

10. y =

11. What type of triangle?

12. 245 m = 245

1,000

13. – 6 + – 2 =

14. 0.3 × 0.9 =

15. 4 5 + 5% + 0.1

16. At 100 km/h, how

17. Write in ascending

337

18. A stack of 20c

How many coins

19. Perimeter =

20. Area =

= 0.

far can

order.

coins has

the

cm 2 y

minutes?

300

km km

= %

you travel in 30

996

a value of €12.80.

in stack?

6 c m

7 c m

60° 60°

Review sample

5 c m

2 c m

3 c m

5 c m

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

WEDNESDAY

THURSDAY

1. 4 10 + 6 10 =

2. 3.9 ÷ 1.3 =

3. Circle the largest.

50% of 30 75% of 24 40% of 25

1. Halve 1 2 .

2. Write the missing angle.

3. 80 × 8 = 640,

60º

120º

60º

Week 39

4. 1.65 m = cm

5. 75% = 3 4 = 0.

6. 6.007 > 6.069 True False

7. ÷ 5 = 30

8. What is the size of Angle a? °

9. If 2 kilograms of apples cost €5.00, how much would

8 kilograms cost?

€

10. 7.95 – 2.04 =

11. Reduce the line by 4:1. mm

12. 4 + – 8 =

13. Jane scored 84% in a flute exam. Write this as a decimal.

14. A triangular prism = faces

15. 9 18 = 27

16. Tick the 3-D shape that has 6 faces, 12 edges

and 8 vertices.

17. Tick which you would use to measure the distance from

Cork to Dublin.

mm cm m km

18. 70% = 0.07 True False

19. 11 2 – 5 2 =

20. 1 2 = % = 0.

a 45 º

79 × 8 =

78 × 8 =

4. How many tenths in 1?

5. x

Enlarge the line x y by 2:1 =

6. There are 0.6 euro to 1 Canadian dollar. How many euro

would you exchange for 3 Canadian dollars?

€

7. Which would you use to measure the weight of

a banana?

8. 12 2 =

g kg t

9. 1.4 × 0.4 =

10. 10 – (18 ÷ 2) =

11. What is the volume of this fish tank?

m 3

12. 2 m 15 cm = 2 15

100 m = 2. m

13. Write 155

1,000 as a decimal.

14. 75% = 0.

Review sample

15. 3.004 < 3.330 True False

16. 3.3, 6.6, 9.9 Rule =

17. Write in descending order.

0.5 m

2 11 1 1 2

, ,

3 m

18. Which is better value for money?

500 g coffee for €2.50

1 kg coffee for €4.50

19. a + 1 = 1,000,000, so a =

20. 2.8 ÷ 1.4 =

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 117

PROBLEM-SOLVING

FRIDAY REVIEW

Week 39

Monday

1. 250 people went to a hurling match. 1 5 of these

were children. Adults paid €10, while children paid

half that price. How much did this group pay?

€

2. On a map, an 8-mm line represents a distance of

1.5 m. How long will the line on the map be if it

is to represent 9 m?

Tuesday

1. Colour 0.6 × 0.6. The total

coloured portion is

2. Colour 0.8 × 0.4. The total

coloured portion is

Wednesday

1. The sum of two numbers is 20. The difference

between the two numbers is 4. The numbers are

and .

2. The product of two numbers is 54. The difference

between the two numbers is 3. The numbers are

and .

1. 7.7 ÷ 1.1 =

2. 7 2 =

3. How many faces has an

octagonal prism?

4. Round 16.5087 to three

decimal places.

5. Which has more faces:

a triangular prism or a

tetrahedron?

6. Which would you use to

measure the amount of

coffee in a mug?

7. A stack of 25-kg bags of

flour weighed 500 kg. How

many bags were there?

8. 5 1 4 km = m

9. A stack of 20c = €23.60.

How many coins are in

the stack?

10. 250 g = 1 4 kg =

0. kg

11. 9 10 = %

12. 1 3 + 2 6 =

13. 5.5 > 5.097

True

False

14. Sally scored 8 10 in a maths

test. Write this as a

percentage.

15. The sum of angles in

a hexagon =

16. 0.5 × 0.3 =

17.

Angle a = °

18. 8 9 – 3 9 =

19. The volume of the fish tank

is m 3 .

3.5 m

20. Circle the larger.

75% of 32 25% of 100

21. Which 3-D shape has

5 faces, 9 edges and

6 vertices?

22. If you are cycling at

32 km/h, how far can

you travel in 15 minutes?

23. Write 15 4 as a mixed number.

24. How many tenths in 1?

25. Angle a = °

a 50 º

Review sample

Thursday

1. Two parts of this square are missing.

What fraction of the perimeter is missing?

2. Double the shape above. What fraction of the

perimeter is missing?

4 m

90° 45°

2 m

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

MONDAY

TUESDAY

1. 1.6 ÷ 0.2 =

2. (300 ÷ 25) ÷ 1 =

3. 4

10 × 1 2 =

What is the diameter of each circle?

5. 5 km + 400 m = km

6. A car costs €10,000 plus 20% VAT.

What is the total price? €

7. Parts of Africa are 2 hours behind GMT. If it is

8.30 a.m. in London, what time is it in Africa?

8. (8 3) 6 = 30

9. A stack of 20-kg rice bags weighed 1,500 kg.

How many bags of rice were there?

10. 7 + – 4 =

11. Which is a 7-sided polygon: a heptagon or a hexagon?

12. 0.8 × 0.3 =

13. 5 m 40 cm = 5 40

100 m = 5. m

14. Simplify the ratio. 3:15 = 1:

15. How many tenths in 2?

16. 6 2 =

6 m

17. Draw the axes of symmetry

on the hexagon.

18. 3, 10, 17, 24,

3 m

19. Is 24 a multiple of 2 and 3?

20. To fill this jug, it needs m more.

1. A shape has six 2-cm by 4-cm faces.

What is the shape’s surface area? cm 2

2. Write the numeral 6.5 million.

3. 8.2 + 0.8 =

4. What is the surface area

of this cuboid?

cm 2

5. 1 3 of an hour is minutes.

6. There are 6 euro to 10 Australian dollars. How many euro

would you exchange for 5 Australian dollars?

€

7. A car is travelling at 50 km/h. How far does it travel

in 2 1 2 hours?

8. What will I pay for a €60 coat if there is a

33 1 3 % reduction? €

9. 2 , 20 , 200 , , 20,000

10. 80 + 700 + 8,000 =

11. – 4 + + 7 =

12. Round 18.0765 to three decimal places.

13. 1 m + 45 cm = m

14. Rotate 270º clockwise.

Review sample

15. At 60 km/h, how long will it take to travel 1 km?

minute(s)

16. (400 ÷ 25) ÷ 4 =

17. The place value of the 8 in 48,250 is .

4 c m

3 c m

9 c m

3 c m

Week 40

itres

18. 5a + 10 = 20, so a =

19. 8.5 + 1.5 =

20. 600 m = 6 10 = 0.

6th Class 978-1-92096-244-9 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 119

WEDNESDAY

THURSDAY

Week 40

1. Write the numeral 3.025 million.

2. There are 7 euro to 1,000 Japanese yen. How many euro

would you exchange for 4,000 Japanese yen?

€

3. The angles in a triangle are 75º and 80º.

What is the 3rd angle? º

4. A stack of 25-kg bags of flour weighed in at

2,000 kg. How many bags of flour were there?

5. The total cost of 3 pens is 48c. What is the average

cost of one pen?

6. Draw a net of a tetrahedron.

7. A circle is divided into quarters.

How many degrees has

each quarter?

8. 50 , 500 , , 50,000

9. 8.7 + 1.3 =

10. Tick the larger.

20% of 100 50% of 50

11. School starts at 8.50 a.m. and finishes at 2.35 p.m. How

many hours and minutes is the school day?

hours

12. 1.7 × 0.3 =

minutes

13. 8 km + 700 m = km

14. If you cycled your bike for 15 minutes and travelled 7 km,

what speed were you travelling?

km/h

15. 0.01 < 0.1 True False

16. 2,000 + 90 + 500 =

17. 4 2

10 = (decimal)

18. What is the shaded area?

19. Simplify 15

18 .

m 2

8 m

2.5 m

4 m

1. Which letter is the opposite face of

2. + 7 – – 5 =

3. Double 5.5 =

4. 7.2 ÷ 0.9 =

5. 1 2 × 2 10 =

6. 4 kg 55 g = 4 55

1,000 kg = 4. kg

7. 2 5 =

8. 7.3 + 1.7 =

9. The time is 9.30 a.m. in Ireland and 2.30 p.m. in India on

the same day. What is the time difference?

10. 1,000 × 0.005 =

11. Draw a dot on the coordinates (2,4), (3,4), (4,3), (4,2),

(3,1), (2,1), (1,2) and (1,3). Join them in order.

What shape have

you drawn?

12. Which digit in the decimal 5.067 is in the hundredths

place?

13. Volume =

m 3

14. There are 2 fish for

every 2 m 3 of water.

How many fish in the

tank?

15. 8, 16, 32, 64,

16. 0.5 < 1 True False

17. 20 + 900 + 3,000 =

18. Simplify 15

20 .

19. 87 1 2 % = 7 8 = 0.

2 m

20. Convert the speed of travelling 12 km in

6 minutes to km/h.

2 m 4 m

Review sample

20. 5y = 300, so y =

km/h

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

PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Colour 1,800 m in 3 equal

colours.

2. Row A has 15 seats. Each row has 10 more

than the previous row. What is the total seating

capacity?

Tuesday

1. Which letter is opposite C?

2. Which letter is opposite A?

Wednesday

A landscape architect created a garden plan.

1. What percentage of the garden will be paved?

POOL

PAVING

GRASS

25 m 2

2. What will be the perimeter of the pool?

C D A

Thursday

1. What fraction of the garden will be grass?

STAGE

A B C D

1. Parts of the USA are 6 hours

behind GMT. If it is 2.30 p.m.

in London, what time is it in

the USA?

2. 24 ÷ 0.2 =

3. 6 10 × 1 2 =

4. A car costs €20,000

plus 20% VAT. What is

the total price?

€

5. How many degrees has a

triangle?

6. 3 6 10 = (decimal)

Rotate 450° clockwise.

What is the radius of one

of the circles?

9. 3.05 > 3 1 10

True

False

10. Which would you use to

measure the length of a bus?

11. 0.8 × 0.4 =

12. – 7 – + 2 =

18 m

13. Simplify the ratio.

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