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PR-1705IRE New Wave Mental Maths - 5th Class

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First published in 2002 by Prim-Ed Publishing

Revised 2017

Prim-Ed Publishing

Marshmeadows

New Ross

County Wexford

www.prim-ed.com

Copyright © Eddy Krajcar 2017

PR–1705

ISBN 978-1-92096-243-2

SAY

NO

TO

BULLYING!

NOBODY DESERVES TO BE BULLIED.

TELL AN ADULT YOU CAN TRUST.

This anti-bullying campaign is supported by the Irish Educational Publishers’ Association.

Review sample

Copyright Notice

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

5th Class 978-1-92096-243-2 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 978-1-92096-243-2 5th 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

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths v


MONDAY

TUESDAY

Week 1

1. 02:00 hours = 2 a.m. 2 p.m.

2. 450 + 350 =

3. Is 1 3 4 closer to 1 or 2?

4. 30 × 70 =

5. Which is better value for money?

6 apples for 75c 4 apples for 45c

6. 50 × 30 =

7. Complete the table using 4, 5 and 6.

Prime

Composite

8. 1 2 > 1 3 True False

9. 3 Yes 8 No

Regular

Hexagon

Irregular

Pentagon

10. Tick which you would use to measure this book.

ruler

metre stick

11. Complete the table using , , and

Line of Symmetry

Horizontal Vertical

12. Write the numeral ten thousand.

13. How many cm?

14. Tick the larger.

15. 2 2 = 2 × 2 =

16. Tick the smaller. 10,001 10,100

17. Draw a line of symmetry. Is it

vertical?

1

2

horizontal?

18. €5.00 + €2.50 + €1.25 = €

19. 5 80 =

1

4

1. 08:00 hours = 8 a.m. 8 p.m.

2. Is 2 4 5 closer to 2 or 3?

3. €4.25 + €1.50 + €3.25 = €

4. Is this angle acute? obtuse?

5. 650 + 725 =

6. 50 × 70 =

7. Which is better value for money?

9 sweets for 60c 5 sweets for 40c

8. Complete the table using 9, 10 and 11.

Prime

9. This is a

Composite

triangular pyramid.

triangular prism.

rectangular prism.

10. Write the numeral twelve thousand and ten.

11. 3 2 = × = 9

12. Tick the larger.

5

8

13. Tick which you would use to measure a hurling field.

metre stick

14. 490 – 240 =

15. This is a

3

4

trundle wheel

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rectangle.

parallelogram.

rhombus.

16. 1 2 > 1 6 True False

17. 40 × 70 =

18. Tick the smaller. 15,050 15,055

19. 8, 16, 24, 32, , 48

20. 800 – 395 =

20. Is this angle acute? right?

2 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. 15:00 hours = 3 a.m. 3 p.m.

2. Which is better value for money?

8 bananas for 50c 4 bananas for 20c

1. 18:00 hours = 6 a.m. 6 p.m.

2. Write the numeral twenty thousand and twenty.

Week 1

3. Is 3 3 10 closer to 3 or 4?

4. 950 + 475 =

5. Draw a 90° turn clockwise.

3. Draw a 180° turn clockwise.

6. 90 × 50 =

7. €3.05 + €2.20 + €4.55 = €

8. Is this angle acute? reflex?

9. Tick the prime number.

13 14 15

10. Tick which you would use to measure a door.

ruler metre stick

11. Write the numeral twenty-one thousand and one.

12. A wizard’s potion was 600 m of apple juice and

500 m of lemon juice. Colour the total.

13. 5 2 = × =

14. 30 × 80 =

15. Tick the larger.

16. Tick the smaller. 30,401 3,401

17. 850 – 225 =

18. 1 2 < 1 5 True False

19. 30 + 30 + 30 + 6 =

20. 6 96 =

1

3

4

6

4. Is 2 2 3 closer to 2 or 3?

5. 650 + 705 =

6. 4 2 = × =

7. Tick the prime number.

15 16 17

8. 920 – 760 =

9. 210 – 70 =

10. 3 Yes 8 No

Regular

Hexagon

Irregular

Octagon

11. Tick which you would use to measure the playground.

metre stick

12. 90 × 30 =

trundle wheel

13. Which is better value for money?

9 drinks for 75c 12 drinks for 95c

14. How long? cm

15. €10.10 + €2.60 + €4.25 = €

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16. Tick the larger.

17. Tick the smaller. 54,910 54,009

18. 1 4 > 1 2 True False

19. Is this angle

reflex?

obtuse?

20. 5 × 89 × 2 =

3

9

3

6

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 3


PROBLEM-SOLVING

FRIDAY REVIEW

Week 1

Monday

1. Conor had 5 times more 20c coins than Alex.

Conor had €4. How many 20c coins did Alex

have?

2. 1 3 of the pencils in a jar are red and the

remaining 10 are green. How many are red?

Tuesday

1. Lucy and Mia read 9 books in a week. Mia read

twice as many as Lucy. How many books did

Mia read?

2. One quarter of the 24 books on a market stall

were science books and the rest were adventure

stories. How many adventure books were there?

Wednesday

Lines of Symmetry

Triangle

0 Scalene

1. Equilateral

2. Isosceles

Thursday

6

5

1. The chance of landing on a prime number is

in 6.

1

4

2. The chance of landing on a composite number is

in 6.

1. 07:00 hours =

7 a.m.

7 p.m.

2. 850 + 750

=

3. 70 × 30 =

4. Which is better value for

money?

5. 20 × 70 =

8 sweets for 40c

5 sweets for 30c

6. Draw a 90° turn clockwise.

7. 230 – 80 =

8. Tick which you would use

to measure a pen.

cm

9. Tick the larger.

2

5

km

3

4

10. Measure this line.

cm

11. €6.00 + €2.50 + €1.20

= €

12. 3 Yes 8 No

13. 4 2 =

Regular

Irregular

Hexagon

Pentagon

14. Is this angle

obtuse?

reflex?

15. Does or have a

vertical line of symmetry?

16. Write the numeral fifteen

thousand and ten.

17. This is a

18. Is 2 3 4 closer to 2 or 3?

19. This is a

rectangle.

parallelogram.

rhombus.

20. Tick the smaller.

12,250

12,520

21. 42 ÷ 3 =

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2

3

22. 410 – 70 =

23. Complete the table using

7, 8, 9, 13, 14 and 15.

Prime

24. Is this angle

obtuse?

acute?

Composite

25. 1 2 > 1 4 True False

.

4 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. 04:00 hours = 4 a.m. 4 p.m.

2. Tick the larger. 12,041 1,241

3. 860 + 320 =

4. 3 Yes 8 No

Regular

Hexagon

5. 40 × 90 =

Irregular

Pentagon

6. Which is better value for money?

5 pens for 60c 4 pens for 45c

7. Write the numeral eleven thousand, one hundred

and one.

8. Is 9 3 4 closer to 9 or 10?

9. Draw a 270° turn clockwise.

10. 41 ÷ 5 = r

11. 10 2 = 10 × =

12. 1 10 > 1 2 True False

13. How many sides has a heptagon?

14. Tick the prime numbers. 2 3 4

15. A clock hand rotated from 12 to 12. This is equal to

°.

16. €6.35 + €2.05 + €1.50 = €

17. This is a

rhombus.

trapezium.

parallelogram.

18. Tick the smaller.

3

5

1

2

1. 14:00 hours = 2 a.m. 2 p.m.

2. €2.25 + €3.15 + €4.20 = €

3. 40 × 80 =

4. 955 + 702 =

5. Tick the larger. 60,007 60,700

6. Write the numeral seventy-three thousand, one

hundred and eleven.

7. Which is better value for money?

6 balls for 40c 5 balls for 30c

8. Draw a 270° turn clockwise.

9. 4 2 = × = 16

10. Tick the prime numbers. 5 6 7

11. 53 ÷ 5 = r

12. 50 × 60 =

13. Is 8 4 5 closer to 8 or 9?

14. Tick which you would use to measure your sock.

trundle wheel

ruler

15. A clock hand rotated from 12 to 6. This is °.

Review sample

16. 1 3 > 1 8 True False

17. How many sides has a decagon?

18. Is this angle

reflex?

obtuse?

19. 600 – 350 =

20. 60 × 30 =

Week 2

19. 890 – 475 =

20. 30 × 40 =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 5


WEDNESDAY

THURSDAY

Week 2

1. 10:00 hours = 10 a.m. 10 p.m.

2. How many sides has a nonagon?

3. 845 + 620 =

4. Tick which you would use to measure your teacher.

metre stick

trundle wheel

5. Write the numeral ninety-two thousand one hundred.

1. 17:00 hours = 5 a.m. 5 p.m.

2. This is a .

3. 560 + 825 =

4. €10.50 + €4.25 + €2.70 = €

6. 3 Yes 8 No

Regular

Hexagon

7. 5 2 = × 5 =

Irregular

Octagon

8. Which is better value for money?

3 pears for 25c 5 pears for 50c

9. Tick the prime number. 7 8 9

10. Draw a 180° turn clockwise.

11. Is this angle

reflex?

right?

12. 88 ÷ 5 = r

13. Round 3.8 (nearest whole).

14. Tick the larger. 54,045 45,054

15. Tick the smaller.

16. 40 × 60 =

17. 4 5 < 1 10 True False

18. This is a/an

scalene triangle.

isosceles triangle.

equilateral triangle.

19. €10.20 + €4.05 + €2.75 = €

20. 900 – 550 =

3

4

3

8

5. Tick the smaller.

6. Which is better value for money?

3 toys for €2

7 toys for €5

4

5

7. Tick the prime number. 10 11 12

8. Write the numeral ninety-seven thousand and nine.

9. 6 2 = × =

10. Draw a 90° turn clockwise.

11. 720 – 645 =

12. Is this angle

reflex?

obtuse?

13. Round 7.2 (nearest whole).

14. This triangle is a/an

scalene triangle.

Review sample

isosceles triangle.

equilateral triangle.

15. Tick which you would use to measure a path.

trundle wheel

ruler

16. Tick the larger. 84,205 84,520

17. 20 × 90 =

18. 79 ÷ 5 = r

19. 2 8 > 3 7 True False

9

10

20. 800 – 455 =

6 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

HORSE STABLES NUMBER OF HORSES

A ‘Bridle’ 150

B ‘Stirrup’ 275

C ‘Colt’ 300

1. 15:00 hours = 3 a.m.

3 p.m.

2. Tick the larger.

48,035

15. 37 ÷ 5 =

r

16. Round 8.6 (nearest

whole).

Week 2

1. How many more horses does Colt stables have

than Bridle stables?

2. The total of the 3 stables is .

Tuesday

What is the distance between

1. Sealy and Dunlee? km

2. Sealy and Bevan? km

Sealy Dunlee

55 KM 110 KM

Bevan

Wednesday

45 KM

1. Jess downloaded 324 MB of her holiday

photos. Each photo was 3 MB. How many

photos were there?

2. Seán downloaded 3 apps with a total size of

140 MB. One app was 50 MB, the other two

were of equal size. What was the size of one of

the equal-sized apps?

MB

48,305

3. 750 + 320 =

4. A third of the pencils in

a jar were green. The

remaining 8 were red.

How many were green?

5. 50 × 90 =

6. Which is better value for

money?

3 pens for 45c

2 pens for 25c

7. Is 8 1 3 closer to 8 or 9?

8. A nonagon has

sides.

9. Tick the prime numbers.

3 5 9

10. 700 – 250 =

11. 1 3 < 1 7

True

12. Is this angle

obtuse?

reflex?

13. 6 2 = 6 ×

14. This is a/an

False

17. 30 × 8 =

18. Write the numeral twentyseven

thousand, one

hundred and one.

19. €4.35 + €2.20 + €2.15

= €

20. This is a

rhombus.

parallelogram.

trapezium.

21. Draw a 180° turn

clockwise.

22. 800 – 550 =

23. This is a

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Thursday

1. A chef baked 3 different 2-D shaped cakes with

a total of 17 corners. What 2-D shapes could

there have been?

trapezium.

rhombus.

parallelogram.

24. Tick the smaller.

3

6

1

4

2. 6 7 8

+ 2 5

9 7 3

scalene triangle.

equilateral triangle.

isosceles triangle.

25. 5 × 58 × 20

=

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 7


MONDAY

TUESDAY

Week 3

1. 09:00 hours = 9 a.m. 9 p.m.

2. 620 + 890 =

3. Draw a 180° turn clockwise.

1. 19:00 hours = 7 a.m. 7 p.m.

2. 950 + 425 =

3. €20.20 + €5.65 + €3.45 = €

4. Tick the smallest.

5

8

3

4

2

3

4. Tick the smallest.

8

9

5. Round 9.7 (nearest whole).

6. Which letter has horizontal symmetry?

7. Write the numeral thirty-seven thousand, one

hundred and nine.

8. 0.7, 0.8, 0.9, , 1.1

9. Name this 3-D shape.

10. Complete the table using 2, 3, 4, 5, 6, 7, 8 and 9.

11. 5 × 90 =

Prime

12. 69 ÷ 6 = r

13. 1 2 = × =

14. 130 cm = 1. m

2

6

Composite

15. 0.2 < 0.7 True False

16. Which is better value for money?

6 books for €30

10 books for €45

17. €20.35 + €2.20 + €5.75 = €

18. Colour 4 m in one colour and

add 7 m with another colour.

The total is m .

19. 840 – 765 =

3

5

5. Round 8.5 (nearest whole).

6. 85 ÷ 6 = r

7. 10 2 = × =

8. 5 × 49 × 200 =

9. Perimeter of a square with 7-cm sides

= cm

10. Draw a 90° turn clockwise.

11. Write the numeral seventy-nine thousand, one

hundred and nineteen.

12. 7 × 80 =

13. 0.2, 0.4, 0.6, 0.8,

14. 2 equilateral triangles are joined at A and B. They

make a

pentagon. rhombus. rectangle.

15. 930 – 840 =

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16. 25% =

17. Which is better value for money?

1

2

3 pies for €25

4 pies for €30

18. 0.1 < 0.8 True False

19. 3 5 + 1 5 =

20. 75 – = 50

A

1

4

B

1

25

20. 50% =

1

2

5

100

1

4

8 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. 22:00 hours = 10 a.m. 10 p.m.

2. 500 + 700 + 900 =

3. Tick the smaller. 3,333 33,030

4. Draw a 5th line of symmetry.

3

2

4

1

2

1 4

5. Draw a 270° turn clockwise.

6. 38 ÷ 6 = r

7. Tick the prime numbers. 11 13 15

8. 2 2 = × =

9. Which is better value for money?

4 toys for €30

5 toys for €35

10. Round 9.3 (nearest whole).

11. Perimeter = m

3 m

7 m

12. Write the numeral ninety-four thousand and nineteen.

13. 1, , 0.8, 0.7, 0.6

14. Is this angle

right?

15. 6 × 60 =

acute?

16. An architect drew a wall plan.

What length is a?

3

m

17. €20.50 + €15.25 + €3.30 = €

1. 07:00 hours = 7 a.m. 7 p.m.

2. 20% =

1

3

20

100

100

20

3. 15:00 hours = 3 a.m. 3 p.m.

4. 900 + 350 + 550 =

5. Round 4.6 (nearest whole).

6. 73 ÷ 6 = r

7. Tick the prime numbers. 12 13 17

8. Which is better value for money?

10 sweets for 30c 7 sweets for 20c

9. Is this angle

reflex?

obtuse?

10. Draw a 6th line of symmetry.

11. 3 2 =

1 2

5 3

4

4

3 5

2 1

12. Write the numeral sixty-two thousand and one.

13. 50 × 8 =

14. What shape is this?

15. 0.3, 0.6, 0.9,

16. Name one quadrilateral shape.

Review sample

7 m 8 m

a

25 m

(Not to scale)

17. €15.05 + €6.20 + €4.90 = €

Builders’ Lunchtime Food Survey

sushi

50

pizza

pasta

Week 3

18. Name this 3-D shape.

18. How many builders were asked?

19. How many had pasta?

19. 40% =

4

10

1

4

40

10

20. 01:00 hours = 1 a.m. 1 p.m.

20. Tick the smaller. 5,003 55,030

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 9


PROBLEM-SOLVING

FRIDAY REVIEW

Week 3

Monday

1. The difference between 2 numbers is 3. Their

product is 40. The two numbers are

and .

2. 101, 91, 82, 74, 67, , 56

1. 20:00 hours = 8 a.m.

2. Round 8.7 (nearest

whole).

8 p.m.

14. €3.60 + €2.45 + €4.10

= €

15. This is a

.

Tuesday

3. 39 ÷ 4 =

Euro €

6

5

4

3

2

1

0

Pete’s Savings

Week 1 Week 2 Week 3 Week 4

1. Pete walks home some days and saves his bus

and after-school snack money. Which week did

he spend his savings?

2. Which week did he not save or spend money?

Wednesday

1. The bus departs every

minutes.

2. With the same time interval,

when is the next bus due

after 8.24 a.m.?

Thursday

1. An architect designed an

auditorium. Row A has 25

seats. Each row has 25 more

seats than the previous row.

What is the seating capacity?

2.

7 4 8

– 2 9

5 0 9

Bus Departures

7.56 a.m.

8.03 a.m.

8.10 a.m.

8.17 a.m.

8.24 a.m.

10 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class

r

4. 520 + 990

=

5. 00:00 hours = 12 a.m.

12 p.m.

6. Perimeter = m

9 m

7. 5 × 39 × 200

=

8. Tick the smaller.

2

3

9. 0.1 < 0.3

True

10. This is a

11. 50 × 7 =

2

5

2 m

False

12. Tick the prime number.

12 13 15

13. Which is better value for

money?

5 books for €20

7 books for €35

.

16. 940 – 575 =

17. Draw another 2 lines of

symmetry.

1

4

3

2 1

18. 750 – 320 =

19. 25% = 25

100 =

2

3

4

20. The difference between

2 numbers is 3. Their

product is 28. The

numbers are

1

and .

21. Write the numeral ninetyone

thousand and eleven.

22. Draw a 90° turn

anticlockwise.

Review sample

23. 10 2 =

24. 0.2, 0.4, 0.6, 0.8,

25. A quadrilateral must have

sides.


MONDAY

TUESDAY

1. 9 a.m. = 09:00 hours 21:00 hours

2. 5,450 + 225 =

3. Is this angle

right?

obtuse?

4. 60 + 50 + 600 =

5. 15:00 hours = p.m.

6. 29 ÷ 7 = r

7. Write the numeral ninety-nine thousand and ninetynine.

8. Round 8.6 (nearest whole).

9. 6 2 =

10. Which unit would you use to measure a pencil?

cm

11. 30 × 8 =

12. A square has 4

m

acute angles.

right angles.

13. A decagon is a 2-D polygon that has sides.

14. 1,030 > 1,029 True False

15. What is the next prime number after 5?

16. 2.5, 2.8, , 3.4

17. Draw a 90° turn anticlockwise.

1. 4 a.m. = 04:00 hours 16:00 hours

2. 50 × 90 =

3. 13:00 hours = p.m.

4. Round 12.2 (nearest whole).

5. 3,420 + 535 =

6. 40 ÷ 7 = r

7. 800 ÷ 10 =

8. Which improper fraction is shaded?

5

3

9. 6 84 =

5

2

10. What is the next prime number after 7?

11. 1,129 < 1,103 True False

12. 7 × 90 =

13. 17, 14, 19, 16, 21, , 23

14. This is an isosceles triangle. Draw the line of

symmetry.

15. 855 – 450 =

16. Which unit would you use to measure your

classroom?

Review sample

mm

m

17. €20.00 – €13.20 = €

18. €20.35 + €5.20 + €6.15 = €

Week 4

19. Which has a horizontal and vertical line of symmetry?

18. 5 70 =

19. €10.00 – €7.80 = €

20. Complete the multiples of 4.

20. Which is better value for money?

8 sweets for 30c

5 sweets for 20c

4

24

52

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 11


WEDNESDAY

THURSDAY

Week 4

1. 2 p.m. = 02:00 hours 14:00 hours

2. 3,435 + 529 =

3. 10 110 =

4. Round 14.6 (nearest whole).

5. Complete the multiples of 3.

3

1. 10 p.m. = 10:00 hours 22:00 hours

2. 5,565 + 340 =

3. This is a

4. Which improper fraction is shaded?

4

3

3

2

.

6. 53 ÷ 7 = r

7. 0.7, 0.8, 0.9, , 1.1

8. 5 2 =

9. 900 + 800 + 90 =

10. Name this 3-D shape.

11. A rectangle has 4

right angles.

reflex angles.

45

12. Which unit would you use to measure the distance

between Galway and Limerick?

m

13. 7,000 ÷ 10 =

km

14. What is the next prime number after 11?

15. €15.15 + €15.20 + €6.80 = €

16. Will this shape tessellate?

17. 75% =

3

4

18. Which is better value for money?

19. 503 – 88 =

5 stickers for 30c

3 stickers for 15c

3

5

3

10

20. 0.5 > 1 True False

5. 96 ÷ 8 =

6. 80% =

7. 4 2 =

8

100

8. 48 ÷ 7 = r

9. A triangle has 3

right angles.

acute angles.

8

10

10. What is the next prime number after 19?

11. Is this angle

acute?

reflex?

12. Write the numeral ninety-nine thousand, nine

hundred and nine.

Review sample

13. 1 > 0.9 True False

14. 60 × 70 =

15. 18:00 hours = p.m.

16. , 0.9, 0.8, 0.7

17. 1 4 kg = g

18. A heptagon has sides.

19. 305 – 7 =

20. 1 2 < 1 3 True False

3

5

12 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

60 m 60 m 60 m

Shop 1

Shop

2

Shop

3

Retail Avenue

Shop 4

1. Which shop has the largest floor area?

2. Which shop has the smallest floor area?

Tuesday

1. Complete the pattern.

1,750

15 m

, 1,150 , 1,300 , 1,450 , 1,600 ,

2. A chef puts icing on a quarter of 36 cupcakes.

How many don’t have icing?

Wednesday

1. There are degrees

between 2 consecutive

numbers on a clock face.

2. The angle of each minute

hand is:

30° × 5 30° ÷ 5 30° + 5

1. 7 p.m. =

2. 53 ÷ 6 =

07:00 hours

19:00 hours

3. 6,420 + 565

=

r

4. Is this angle

acute?

right?

5. This is a

6. 40 × 8 =

7. Which unit would you

use to measure the

distance from Cork to

Waterford?

m

8. 1,040 > 1,038

True

9. 5,000 ÷ 10 =

10. €20.00 – €13.50

= €

11. A rectangle has 4

12. 7 98 =

right angles.

obtuse angles.

km

False

13. Which improper fraction

is shaded?

4

3

9

4

12

4

.

15. 700 + 40 + 80

=

16. 0.7, 0.8, 0.9,

17. 945 – 730 =

18. Write the numeral

eighty-one thousand, five

hundred and fifteen.

19. Which is better value for

money?

4 cakes for 24c

6 cakes for 35c

20. Draw a 270° turn

anticlockwise.

21. 3 Yes 8 No

60% = 60

100

=

=

=

6

10

3

5

6

20

22. A chef puts icing on a

quarter of 24 cupcakes.

How many don’t have

icing?

23. 1 > 0.7

Review sample

Thursday

Two boys timed their race from the classroom

door to the end of the building.

1. The school record is 6:90. Tom is still

seconds behind the record.

True

False

24. Which has a vertical

and horizontal line of

symmetry?

25. €20.45 + €7.15 + €9.20

= €

Week 4

2. The time difference between Matt and Tom is

seconds.

14. 1 4 km = m

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 13


MONDAY

TUESDAY

Week 5

1. 6 a.m. = 06:00 hours 18:00 hours

2. 6,345 + 2,072 =

3. What pyramid has 4 triangular faces?

1. 7 p.m. = 07:00 hours 19:00 hours

2. 3,405 + 2,328 =

3. 1,000 + 500 + 600 =

4. Round 8.4 (nearest whole).

4. Expand 20,020.

5. 3 1 4 = 3.

5. Round 7.3 (nearest whole).

6. Which mixed number is shaded?

2 1 4 1 3 4 1 1 4

7. 30 ÷ 8 = r

8. 4 3 4 = 4.

9. 7 2 = × =

10. 5, 25, 30, 50, 55, , 80

11. Write the numeral ninety-seven thousand and eleven.

12. 1,209 > 1,199 True False

13. This shape has a

vertical

horizontal

diagonal

line of symmetry.

14. What is the next prime number after 13?

15. 40 × 60 =

16. Tick which scales you would use to weigh a person.

kitchen scales

17. This shape has 8

acute angles.

obtuse angles.

bathroom scales

6. 42 ÷ 8 = r

7. Which mixed number is shaded?

3 1 4 2 1 4 2 3 4

8. Tick which scales you would use to weigh an apple.

kitchen scales bathroom scales

9. This is a

10. How many vertices does a triangular

prism have?

11. What is the next prime number after 7?

12. 3, 7, 12, 18,

13. Which unit would you use to measure the playground?

mm m km

14. Will a square tessellate?

15. 870 – 90 =

16. An architect drew a wall plan.

What is the length of a?

17. Write the numeral eighty-three thousand and five.

18. €20.00 – €17.50 = €

19. 04:00 hours = a.m./p.m.

20. Complete the multiples of 5.

m

.

a

4 m 4 m

Review sample

13 m

(Not to scale)

18. 21:00 hours = p.m.

19. €20.00 – €14.10 = €

10

20. 3,000 ÷ 10 =

55

14 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Which diagram shows 3 2 ?

A

B

1. 8 p.m. = 08:00 hours 20:00 hours

2. 80 + 800 + 500 =

3. What 3-D shape is this?

Week 5

2. 700 + 40 + 800 =

3. 2,680 + 3,275 =

4. Round 9.7 (nearest whole).

5. Tick which scales you would use to weigh a school bag.

kitchen scales

6. Will a circle tessellate?

7. 50 ÷ 8 = r

bathroom scales

8. This is a .

9. 1,055 < 1,060 True False

10. 9,000 ÷ 10 =

11. 100, 90, 70, 40,

12. 5 1 2 = 5.

13. Which improper fraction is shaded?

5

3

14. 70 × 80 =

6

5

15. Write the numeral sixty-three thousand and fifty-five.

16. Name this 2-D shape.

4. Which diagram shows 5 2 ?

A

5. How many faces has Question 3’s shape?

6. 70 ÷ 8 = r

7. 1 4 = 3 6 True False

8. 7,402 + 1,257 =

9. 0.3, 0.6, 0.9, , 1.5

10. Tick which scales you would use to weigh cherries.

kitchen bathroom

11. 50% =

1

4

1

2

12. Which unit would you use to measure your fingernail?

mm m km

13. Which mixed number is shaded?

3 1 3 2 2 3 2 1 3

14. Draw a 90° turn clockwise.

Review sample

15. 20:00 hours = a.m./p.m.

16. Will an equilateral triangle tessellate?

B

1

5

17. 25% =

1

4 2 1 2

17. Write the numeral seventy thousand, five hundred

and five.

18. 3 4 = 2 10 True False

19. Which is prime: 9, 11 or 22?

20. 00:30 hours = a.m./p.m.

18. 5 130 =

19. 1 1 2 = (improper fraction)

20. 0.7 > 1 True False

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 15


PROBLEM-SOLVING

FRIDAY REVIEW

Week 5

Monday

1. Which tessellation is not working for a regular

hexagon?

A B C

1. 4 p.m. = 04:00 hours

16:00 hours

2. Round 9.2 (nearest whole).

13. 20 × 80

=

14. 0.9 > 1 True False

15. Colour 1 1 2 .

2. Conor had 5 times more money saved than

Charlie. Conor had €100. How much did

Charlie have?


Tuesday

1. Lil downloaded 438 MB of photos. Each photo

was 3 MB in size. How many photos were there?

2. A cloud data company charges €3.50 for 1 GB.

What is the cost of 8 GB?


Wednesday

During each full week of November, Alex practised

his guitar three times a week for 45 minutes.

1. How many times did he practise?

2. What was the total number of hours he played

his guitar in November?

hours

Thursday

1. A fast train can travel at 500 kilometres

per hour. How long would it take to travel

1,500 km?

2. 250 km?

3. 5,362 + 2,154

=

4. How many vertices has a

square-based pyramid?

5. 100, 80, 60, 40,

6. What pyramid has 4

faces?

7. 70 + 500 + 400

=

8. Draw the 2 diagonal lines

of symmetry.

9. Will a circle

tessellate?

10. Which diagram shows

6 2 ?

A

C

11. 7 2 =

B

12. An architect drew a wall

plan. What is the length

of a?

12 m

m

a

3 m 6 m

(Not to scale)

16. Draw a 90° turn clockwise.

17. 1 GB of cloud data costs

€2.50. The cost of 6 GB is

€ .

18. Write the numeral sixtynine

thousand and ninety.

19. 3 2 10 = 3.

20. Which would you use to

weigh a potato?

kitchen scales

bathroom scales

21. A square has 4

obtuse angles.

right angles.

22. €20.00 – €18.50

Review sample

= €

23. Which unit would you use

to measure a maths book?

cm

m

24. Which is the prime

number?

9 10

11 12

25. Which fraction equals

25%?

1

2

1

4

1

5

16 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. 04:00 hours = a.m.

2. 7,450 + 3,265 =

3. Colour the mixed number 3 1 3 .

1. 13:00 hours = p.m.

2. Write the numeral.

Week 6

4. 3 1 3 as an improper fraction is .

5. 90 + 70 =

6. Round 5,467 (nearest 10).

7. 3 1 2 = (improper fraction)

8. Which unit would you use to weigh a dog?

g

kg

9. Jane is 10 years old. Jack is 12. Jim’s age is twice

Jane’s age, less half of Jack’s. What is Jim’s age?

10. 3, 8, 13, 18, , 28

11. 5 3 = (mixed number)

12. 0.3 > 0.2 > 0.1 True False

13. 6 1 2 = m

14. 9,000 ÷ 90 =

15. Which fraction is 25%?

1

2

1

25

16. €50.00 – €30.50 = €

17. Draw a 90° turn anticlockwise.

18. 7 100 = r

1

4

19. Complete the multiples of 6.

3. This triangular prism has

edges.

4. Round 11.3 (nearest whole).

5. 400 + 3,000 + 800 =

6. 0.8 > 0.10 True False

7. Colour the improper fraction 8 3.

8. 8 3 as a mixed number is .

9. 60% = 6 10 True False

10. 701 – 80 =

11. Tick the smaller.

12. Which diagram matches 4 2 ?

B

A

3

4

13. Which unit would you use to weigh a packet of crisps?

g

14. 4 100 =

Review sample

kg

15. Draw a 180° turn clockwise.

7

8

C

6

48

20. Which is heavier: 1 kg or 100 g?

90

16. €50.00 – €31.50 = €

17. 5,000 ÷ 50 =

18. 00:10 hours = a.m./p.m.

19. Will a semicircle tessellate?

20. Which is longest?

2 m 200 cm 2.05 m

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 17


WEDNESDAY

THURSDAY

Week 6

1. 11:00 hours = a.m.

2. Which diagram shows 6 2 ?

B

A

C

1. 20:00 hours = p.m.

2. Tick the larger.

3. This shape is a

1

5

3

6

.

3. Which is longer: 3 km or 2,900 m?

4. 1 2 > 1 3 > 1 4 True False

5. What type of pyramid is shown?

6. How many faces on the shape above?

7. 5,425 + 2,383 =

8. Which is lighter: 150 g or 15 kg?

9. 2 , 22 , 222 , 2,222 ,

10. €1.00 – €0.25 = c

11. 3,000 ÷ 100 =

12. 3 100 = r

13. The 5 angles in this pentagon are

11. The chance of rolling a 5 on a 6-sided dice is

right angles.

obtuse angles.

14. 37 ÷ 9 = r

15. 60% = 3 5 True False

14. 6 100 = r

16. Draw a 270° turn clockwise.

15. Find the whole number when 1 2 is 12.

16. 3,000 – 145 =

17. €50.00 – €33.50 = €

18. Colour 12 m in 3 equal colours.

4. 1 8 < 1 7 < 1 6 True False

5. 500 + 800 + 2,000 =

6. How many faces has the shape in Question 3?

7. The 8 angles in this octagon are

acute.

obtuse.

8. 40 × 20 =

9. 3 1 10 = (improper fraction)

10. Which is prime: 9, 19 or 90?

in .

12. 8, 17, 26, 35, , 53

13. 80,000 ÷ 100 =

Review sample

17. 10 3 = (mixed number)

18. Colour 24 m in 3 equal colours.

19. 4 3 = (mixed number)

19. Which is shortest: 3 m, 0.3 km or 30 cm?

20. 6 1 5 = (improper fraction)

20. Round 10.6 (nearest whole).

18 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Which cake was the

boys’ least favourite?

2. True or false? Only

one 5th Class was

asked about their favourite cakes.

5th Class Favourite Cakes

Flavour Boys Girls

Lemon 5 8

Chocolate 13 10

Orange 4 8

Vanilla 6 4

1. 07:00 hours =

a.m.

2. 6,570 + 2,465

=

3. Which multiple of 6 is

missing from 6 to 60?

15. A triangular pyramid has

vertices.

16. Round 9.8 (nearest

whole).

Week 6

A

3 × 8

4 × 6

24 Hexagon

B

Tuesday

5 2

25

1 m

100 cm

1. 5th Class created a huge poster filled with

maths facts. Each square is 2 m by 2 m.

What is the perimeter?

2. Without using a ruler, calculate the length from

A to B in a clockwise direction.

1. Draw the 7th row.

2. Draw the 6th row.

250 m Cafe

100 m Gifts

300 m Bus Bay

Wednesday

Thursday

m

Waterfall 250 m

Picnic Area 80 m

1. A group walked from the gift shop to the cafe

and rested at the picnic area.

How many metres did they walk?

2. Another group left the picnic area, visited the

waterfall and waited at the bus bay.

How far did they walk?

m

18 24 6 60 54

42 12 30 36

4. Draw the 6th row.

5. 11 4 = (mixed number)

6. 4 2 3 = (improper fraction)

7. 70 × 60 =

8. 5,000 ÷ 50 =

9. 7, 16, 25, 34,

10. €50.00 – €27.50

= €

11. Write the numeral.

12. 0.8 > 0.2 > 0.3

True

13. Which is longer?

14. 40% = 4 10

False

4 km 3,700 m

True

False

17. Will a rectangle

tessellate?

18. 402 – 145 =

19. Colour 21 m in 3 equal

colours.

20. 9 1 2 = m

21. Colour the mixed number

2 2 3.

22. 500 + 6,000 + 400

Review sample

m

m

=

23. 83 ÷ 10 =

24. Which is the lightest?

10 kg

100 g

1 kg

25. This shape is a

r

hexagon.

pentagon.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 19


MONDAY

TUESDAY

Week 7

1. 06:00 hours = a.m.

2. 5 1 3 = (improper fraction)

3. 997 + 1,006 =

4. 2,000 ÷ 100 =

5. 2 2

10 = 2.

6. Round 8 5 7 (nearest whole).

7. 0.4, 0.8, 0.6, , 0.8, 1.2, 1

8. 8.4 + 3.2 =

9. Name a quadrilateral.

10. Perimeter of a square with 5-cm sides

= cm

11. 1,352 > 1,359 True False

12. 300 × 4 =

13. Which scales would you use to weigh a banana?

kitchen

bathroom

14. The angles in this triangle are

right and acute.

right and obtuse.

15. Write these numbers from smallest to largest.

16. 300 ÷ 30 =

2,000 20,000 200

, ,

Write the chance of rolling the following

numbers on a dice.

17. 6 = in

18. An odd number = in

19. A number higher than 4 = in

20. An even number less than 3 = in

1. 09:30 hours = a.m.

2. 955 + 2,005 =

3. Perimeter of a square with 6-cm sides = cm

4. 3 3 5 = (improper fraction)

5. 7.5 + 2.4 =

6. Round 9 3 4 (nearest whole).

7. 84 ÷ 10 = r

8. Which diagram matches 9 2 ?

A

9. A cube has vertices.

10. This is a .

11. 40 × 8 =

12. Write these numbers from smallest to largest.

45,010 54,010 45,100

13. 3 4 kg = g

B

, ,

14. The shape in Question 10 has 7 angles, which are all

obtuse.

reflex.

15. Draw a 180° turn clockwise.

16. 7.5 + 4.3 =

Review sample

17. Circle the temperature of positive 3.

3 °C 13 °C –3 °C

18. Which would you use to weigh a bag of potatoes?

g

kg

19. Complete the table using 3, 7, 9 and 12.

Odd

Even

Prime

20. 5 2 10 = (decimal) 5.

Composite

20 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. 11

12 – 4 12 =

2. 998 + 3,004 =

3. Perimeter of rectangle = cm

2 cm

5 cm

5 cm

2 cm

1. 22:45 hours = p.m.

2. Perimeter of triangle = cm

3 cm

Week 7

4. 2 4 6 = (improper fraction)

5. A decagon has sides.

6. 99 ÷ 10 = r

7. 200 , 500 , 1,000 , 1,700 ,

8. Draw the other 2 lines of symmetry.

9. Write these numbers from smallest to largest.

16,025 16,052 16,005

10. 4 120 =

11. 400 ÷ 40 =

12. 92 × 20 × 5 =

, ,

13. Tick the composite number.

3 4 5

14. 6 3 10 = (decimal) 6.

15. This is a net for a pyramid. prism.

3. 10.2 + 5.6 =

4. 3 5 10 = (decimal)

5. 3 3 4 = (improper fraction)

6. The angles in a square are all angles.

7. 2 3 =

6

8. 40 + 5,000 + 8,000 =

9. Tick the composite number. 7 9 11

10. Will an oval tessellate?

11. Which would you use to weigh a bicycle?

g

kg

12. 1,404 < 1,400 True False

13. 6 × 60 =

14. This is a/an

scalene triangle.

isosceles triangle.

15. 200 × 5 =

16. Write these numbers from smallest to largest.

23,050 23,500 23,005

, ,

17. 500 × 6 =

Review sample

16. 1 – 0.1 =

17. 23:59 hours = a.m./p.m.

18. Round 16.3 (nearest whole).

18. 1 – 0.2 =

19. Draw horizontal or vertical lines of symmetry.

19. 2 1 2 kg = g

20. Circle the temperature of positive 5.

–5 °C 5 °C 55 °C

20. Circle the temperature of negative 6.

6 °C –16 °C –6 °C

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 21


PROBLEM-SOLVING

FRIDAY REVIEW

Week 7

Monday

1. What is the time pattern?

2.

Tuesday

Menu

Water......................€1.50

Orange juice.............€2.50

Apple juice...............€1.75

1. Liam had €2. Which drink did Liam buy if he

had 25c change?

2. Conor bought 2 identical juices and a water for

€5. Which juice did he buy?

Wednesday

What number is

1. 150 units and 22 hundreds?

2. 5,480 tens and 6 hundreds?

Thursday

1. 18:20 hours

= p.m.

2. 996 + 1,007 =

3. 8.6 + 2.3 =

4. 3 5 9 = (improper fraction)

5. 200 × 8 =

6. Draw the 5th line of

symmetry.

2

3

4

1

4

1

3

2

7. Write these numbers

from smallest to largest.

45,027

45,702

450

8. This is a

9. 1 – 0.3 =

10. Tick which scales you

would use to weigh some

grapes.

kitchen

bathroom

11. 5 kg = g

12. The chance of rolling a

‘3’ on a dice is

in .

.

13. The chance of rolling an

even number on a dice is

in .

14. Circle the temperature of

negative 5.

5 °C –15 °C –5 °C

15. 200 ÷ 10 =

16. 400 , 1,200 ,

800 , 1,600 ,

17. Tick the composite

number.

5 6 7

18. 87 × 2 × 5 =

19. Draw mark lines to show

that this is an isosceles

triangle.

20. Round 9 4 5 (nearest

whole).

21. 2,000 ÷ 20 =

22. 9 89 =

Review sample

1. The pattern of the auditorium seating

continues. How many seats will there be in

Row 4?

23. Perimeter of a square

with 4-cm sides

= cm

24. Write the 4 prime

numbers < 10.

r

, ,

,

2. How many seats will there be in Row 7?

25. Draw vertical or horizontal

lines of symmetry.

V B

22 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. 16:20 hours = p.m.

2. This is a net of a .

1. 23:30 hours = p.m.

2. Which is longest?

400 mm 0.5 m 90 cm

Week 8

3. 12.7 + 6.2 =

3. 10.4 + 5.3 =

4. 1, and 4 are factors of 4.

5. Write as an improper fraction.

6. 70% = 0. =

100

7. €20.25 + €5.75 + €8.20 = €

8. 82 ÷ 4 = r

9. Tick the composite number.

5 12 13

10. 8 2 = 8 + 8 8 × 8 8 × 2

11. 200 ÷ 20 =

12. Write these numbers from smallest to largest.

50,750 50,570 50,007

13. Perimeter = m

14. 200 × 9 =

, ,

3 m

15. 9,997 , 9,998 , 9,999 ,

16. Is 6 a multiple of 2?

17. The angles in an octagon

are all

18. 2 1 2 = (decimal)

8 m

19. A cube has faces.

angles.

20. Circle the temperature of positive 10.

10 °C 1 °C –10 °C

4. 4 2 5 = (improper fraction)

5. 1, 2, and 8 are factors of 8.

6. 37 ÷ 4 = r

7. Write these numbers from smallest to largest.

100,000 100 10,000

8. Draw a letter with a

horizontal line of

symmetry.

9. Which is better value

for money?

6 apples for 35c

9 apples for 45c

, ,

10. A square-based pyramid has vertices.

11. 0.5, , 1.5, 2.0, 2.5

12. Tick the composite number.

17 19 20

13. Is 3 a multiple of 9?

14. Complete the multiples of 4 from 40.

Review sample

40

15. 7 × 70 =

16. 5 3 5 = (improper fraction)

17. 500 × 6 =

92

18. 2 3 > 1 2 True False

19. 0. = 40

100 = %

76

20. Circle the temperature of negative 7.

7 °C 17 °C –7 °C

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 23


WEDNESDAY

THURSDAY

Week 8

1. 10:25 hours = a.m.

2. 8

10 – 2 10 =

3. 15.4 + 2.6 =

4. 600 × 7 =

5. 2 7 5 = (improper fraction)

6. 1, 2, and 6 are factors of 6.

7. 48 ÷ 4 =

8. 30% =

100

= 0.

9. Round 15.4 (nearest whole).

10. Complete the multiples of 7.

7

84

70

11. Write these numbers from smallest to largest.

17,050 1,750 117,050

12. Perimeter = m

, ,

4 m

7 m

13. 5

10 < 1 5 True False

14. 2.5, , 3.5, 4.0, 4.5

15. A heptagon is a 2-D shape that has sides.

16. Draw a 270º turn clockwise.

17. 6 1 3 = (improper fraction)

18. Is 15 a multiple of 5?

19. 0.5 km = m

20. Will a tessellate?

1. 11

12 – 5 12 =

2. 12.3 + 10.8 =

3. 1, 2, , 8 and are factors of 16.

4. 16:45 hours is a quarter to .

5. 7 2 3 = (improper fraction)

6. Is 20 a multiple of 10?

7. 1,505 > 1,550 True False

8. 90% = 0. =

100

9. Round 12.5 (nearest whole).

10. This is a net of a .

11. How many vertices has a triangular pyramid?

12. 1.5, 2.0, 2.5, , 3.5

13. 1,111 < 1,101 True False

14. Draw a 270° turn clockwise.

15. 4 3 10 = (decimal)

16. 8.9 m = 8 m 90 cm = mm

17. 7 , 70 , , 7,000 , 70,000

Review sample

18. A nonagon is a 2-D shape that has sides.

19. Perimeter = m

5 m

5 m

5 m

20. Circle the temperature of negative 12.

–12 °C –2 °C –21 °C

24 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Which rhombus shows the correct lines of

symmetry?

1. 17:35 hours =

p.m.

2. This is a net of a

14. Draw a 270° turn

clockwise.

Week 8

4

2

2

0

.

15. A square-based pyramid

has

A

B

2. Ava and Tia read 12 books in a week. Ava read

twice the number of books as Tia. How many

books did Ava read?

C

Tuesday

1. Luci downloaded 540 MB of her photos. Each

photo was 3 MB. How many photos were there?

2. A chef baked four 2-D shaped cakes and counted

14 corners. What shapes could there be?

Wednesday

1. The difference between 2 numbers is 0. Their

product is 16. The 2 numbers are

2.

and .

Thursday

1. The cloud data company charges €4.50 for

1 GB. What is the cost of 12 GB?


3 8 9

+ 4

4 3 4Review

D

3. 17:45 hours is a quarter

to .

4. 1,055 > 1,505

True

5. Perimeter

= m

6 m

False

3 m

6. 8 3 10 = (decimal)

7. 10.4 + 6.2

=

8. 1, 2, 4, and 16 are

factors of 16.

9. 35

100 = 0.

= %

10. 1,101 > 1,099

11. 8 2 =

True

False

12. A fast train can travel at

500 km per hour. What

distance has it travelled

after 1 hour?

km

13. 2 2 3 = (improper fraction)

edges.

16. 9 , ,

900 , 9,000

17. 2 km 300 m =

. km

18. €30.20 + €5.85 +

€2.60 = €

19. Which triangle is shown?

isosceles

20. 6 × 60 =

21. 0.2 km =

22. 9 10 – 3 10 =

23. 2 m 80 cm

sample

2. A fast train can travel at 500 kilometres per

hour. How long will it take to travel 750 km?

m

scalene

= mm

24. Write these numbers

from smallest to largest.

70,274

70,742

70,427

25. 9 100 =

r

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 25


MONDAY

TUESDAY

Week 9

1. 09:30 hours = a.m.

2. 12.3 + 13.5 =

3. 75 + = 101

4. 3 4 5 = (improper fraction)

5. What is the perimeter? m

1. 21:30 hours = p.m.

2. 0.3 , 3 , 30 , , 3,000

3. 8.6 + 2.8 =

4. 1, 2, and 10 are factors of 10.

5. 4 4 10 = (improper fraction)

7 m

8 m

7 m

6. 0.8 > 1 True False

7. How many pairs of parallel lines has a square?

8. 10 2 =

9. This quadrilateral is known as a

10. 3, 8, 13, , 23

11. A class was organised into groups of 4. There were 7

groups. How many children?

12. 300 × 8 =

13. Write these numbers from largest to smallest.

5,072 5,702 5,002

, ,

14. The angles in this triangle are all

angles.

15. Write the temperature negative 5. °C

16. 8 160 =

17. Complete the multiples of 8.

8

96

18. 400 ÷ 40 =

19. 1, and 9 are factors of 9.

.

80

20. A triangular-based pyramid has edges.

6. Write these numbers from largest to smallest.

30,250 3,250 30,520

, ,

7. 0.4 < 1 True False

8. Is 12 a multiple of 3?

9. How many vertical lines has a rectangle?

10. This is a

rhombus.

kite.

parallelogram.

11. 10 205 = r

12. 8 10 – 3 10 =

13. 600 × 6 =

14. What is the perimeter? m

15. Draw a 270° turn anticlockwise.

Review sample

16. 1 1 4 kg = g

17. Write the temperature positive 4. °C

18. 83 ÷ 7 = r

19. The chance of landing on a 4? in

1

3

20. A square-based pyramid has edges.

4

4

2

3

5 m

5 m

5 m

5 m

26 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. 19:49 hours = p.m.

2. 73 ÷ 6 = r

3. 7.5 + 5.7 =

1. 14:25 hours = p.m.

2. 18.2 + 21.7 =

3. Tick the composite number. 7 11 14

Week 9

4. 3 4 > 1 True False

5. This is a net of a

4. 1 3 < 1 True False

5. What is the lowest composite number?

6. 5 1 4 = (improper fraction)

6. 16 =

2

7. Write these numbers from largest to smallest.

64,905 46,905 64,059

8. 300 × 9 =

9. 2,400 = 8 ×

, ,

10. Draw a 90° turn clockwise.

11. Tick the composite number. 21 23 19

12. 10 kg = g

13. 60 + = 130

14. 1, 2, 3, , 6 and 12 are factors of 12.

15. 0.8, , 1.6, 2.0, 2.4

16. This is a

triangular prism.

rectangular pyramid.

triangular pyramid.

17. Is 9 a multiple of 2?

18. What is the perimeter? m

3 m 3 m

.

7. 4 = m

8. 200 × 10 =

9. 400, 800, 500, 900, 600,

10. The chance of landing on an odd number is

in .

4

11. 1,300 > 1,333 True False

3

5

12. The area of a courtyard 4 m by 4m is m 2 .

4 m

2

4 m

13. 3.5 km = m

14. 55 + = 110

15. Draw the 5 lines of symmetry.

Review sample

Write the chance of rolling the

following numbers on a dice.

16. 5 = in

1

3 m

3 m

3 m

19. 3 1 8 = (improper fraction)

20. Write the temperature negative 10. °C

17. An even number = in

18. A number lower than 5 = in

19. An odd number higher than 2

= in

20. A 4 or a 6 = in

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 27


PROBLEM-SOLVING

FRIDAY REVIEW

Week 9

Monday

1. Tick which of the following

would calculate the angle

size between each

consecutive number.

360° × 12 360° ÷ 12

12 ÷ 360°

2. In square units, what is the

area of the shaded shape?

Tuesday

1. With which class is the

zoo most popular?

2. Which 2 classes combined

visited the zoo 14 times?

and

Wednesday

1. A trainee architect was given this measuring

tape. Work out the missing measurements.

A = mm B = mm

C = mm D = mm

80 90 300 10 20 30 40

A B C D

2. A cube was cut in half diagonally,

into the shape below. The new 3-D

shape has

faces and

Thursday

No. of Children

1. This magic square has the sum

of 15 in all directions. Fill in

the missing numbers (1–9).

Remember you can only use

each number once.

2. Fill in the magic square. Each

direction should total 15.

Number of Visits to

the Zoo in a Year

10

8

6

4

2

0

1st 2nd 3rd 4th 5th 6th

Class

corners.

8

5 7

4 2

6 2

1 5 9

3

1. 22:45 hours =

2. 12.5 + 15.4 =

p.m.

3. 90 + = 145

4. How many pairs of

parallel lines has a

rectangle?

5. 9 10 – 2 10 =

6. The chance of landing on

an odd number is

1

in .

3

2

7. Tick the composite

number.

8. 2 1 4 kg

7 9 11

= g

9. A class of 30 is arranged

into groups of 6. How

many groups?

10. 400 × 7 =

11. Write these numbers

from largest to smallest.

8,025

8,520

8,502

12. How many faces has a

tetrahedron?

13. 4 92 =

14. A = mm

90 1000

A

15. Write the temperature

negative eight.

°C

16. 3 = m

17. The factors of 12 are

1, , , ,

and 12.

18. 4 2 9 = (improper fraction)

19. Draw a 180° turn

clockwise.

20. 21 6 = (mixed number)

21. This is a .

22. Perimeter = m

Review sample

6 m

9 m

6 m

23. 4 5 < 1 True False

24. Draw the vertical and

4 diagonal lines of

symmetry.

25. Is 16 a multiple of 4?

28 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. 08:35 hours = a.m./p.m.

2. 8.5 + 12.7 =

3. 60 + = 135

4. 1 4 km = m

5. Draw the 6 lines of symmetry.

1. 13:05 hours = a.m./p.m.

2. 16.3 + 3.7 =

3. Is 16 a multiple of 3?

4. 105 ÷ 10 = r

5. 95 + = 150

6. 3, 6, 12, 24,

Week 10

6. 50, 100, 150, , 250

7. 1.1 < 0.9 True False

8. Tick the composite number. 8 11 17

9. The angles in a pentagon are all

angles.

10. Is 12 a multiple of 4? Yes No

11. 50% = 0.5 = 100

12. 900 ÷ 90 =

13. A2, B10, C50,

14. This is a net of a

15. 1, 2, , 4, , 8, 12 and 24 are factors of 24.

16. 500 × 6 =

17. 50% of 20 =

18. 8 99 = r

17. How many pairs of parallel lines has a rectangle?

19. Colour to show the mixed number of 1 5 6.

.

7. 81 =

2

8. Perimeter = m

9. 50% of 100 =

4 m

5 m

10. Complete the multiples of 9.

99

18

72

11. 8 2 3 = (improper fraction)

4 m

12. 20% = 0.5 True False

13. Write these numbers from largest to smallest.

72,050 7,205 72,500

, ,

14. AZ, BY, CX,

15. Draw a 180º turn clockwise.

16. 2.1 > 2 True False

Review sample

20. Draw a 90º turn clockwise.

18. 9 10 + 3 10 =

10

= (mixed number)

19. 5 8 10 = (decimal)

20. 2 × 82 × 50 =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 29


WEDNESDAY

THURSDAY

Week 10

1. 17:55 hours = a.m./p.m.

2. 25.5 + 12.3 =

3. + 60 = 190

4. 9 3 5 = (improper fraction)

1. 22:10 hours = a.m./p.m.

2. 11.4 + 12.6 =

3. Complete the multiples of 10.

10

5. This is a .

110

6. 122 ÷ 10 = r

7. 15, 30, 45, , 75

8. How many vertical lines has a regular octagon?

9. 3 3 4 = (decimal)

10. 1, 3, and 15 are factors of 15.

11. 1 > 3 10 True False

12. AA, AC, AE, AG,

13. 180 ÷ 10 =

14. Is 22 a multiple of 4? Yes No

15. 700 × 8 =

16. This shape is a

pentagonal prism.

pentagonal pyramid.

triangular prism.

17. The angles in a rectangle are all angles.

18. Tick the composite number. 5 6 7

19. How many edges has the shape in Question 16?

20. Write these numbers from largest to smallest.

43,725 43,257 43,275

, ,

4. Write these numbers from largest to smallest.

65,702 65,207 65,072

5. + 85 = 120

6. 2, 4, 8, 16, , 64

7. Colour to show 19 6 .

8. Perimeter = m

9. 75% = 0.75

True

, ,

False

10. Draw a 90º turn clockwise.

11. 1,089 < 1,088 True False

12. A1, A5, A10, A50, A100, , A1,000

13. How many pairs of parallel lines has a

regular hexagon?

14. 1 < 4 5 True False

15. Is 18 a multiple of 6?

16. 1,300 mm = m

17. 1, 2, and 14 are factors of 14.

18. 3 5 + 3 5 =

5

= (mixed number)

19. Circle the symmetrical letter.

F G H J R

20. Liam borrowed €5 off a friend. Liam now has:

€ + 5 € – 5

3 m 3 m

Review sample

3 m

3 m

3 m

3 m

30 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. 23:45 hours =

2. 6.8 + 7.5 =

a.m./p.m.

15. This is a net of a

.

Week 10

3. 105 + = 150

1. A farmer walks along the fence from A to B.

The distance is m.

2. The distance between each fence post is

m.

Tuesday

1. A wizard had 400 m of

prune juice. He used 100 m

to power up 4 magic wands.

How many magic wands could

he power up with 400 m ?

2. How far did the car travel from A to B?

m

Wednesday

1. A teacher cut 14 apples into halves. Each child

had a piece. There were 3 pieces left. How

many children were in the class?

2. How much time has passed from A to B?

hours

A

Date: 17th April

Time: 03:00

B

Date: 18th April

Time: 01:00

Thursday

1. Complete the magic square so

2

the answer is 15 in all

5

directions.

8 4

2. The difference between 2

numbers is zero. Their product is 36. What are

the numbers?

and

4. How many pairs of parallel

lines has

a hexagon?

5. Tick the composite

number.

6. 8 100 =

r

17 19 21

7. Complete the multiples

of 9.

63, , , 90

8. The angles in a

rectangle are all

9. 190 ÷ 10 =

angles.

10. 2 7 6 = (improper fraction)

11. Which is symmetrical?

12. 2 × 78 × 50

=

13. 26 3 = (mixed number)

14. Name this shape.

16. AC, AF, AI,

17. 4, 8, 16, , 64

18. 50% of 10 =

19.

5 hours before

20. 8 10 + 6 10 =

10

= (mixed number)

21. Name this shape.

22. How many faces has the

shape in Question 21?

23. Write these numbers

from largest to smallest.

Review sample

84,950

84,509

8,450

24. 900 × 5

=

25. The factors of 8 are

17th April

05:00

Now

1, , and 8.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 31


MONDAY

TUESDAY

Week 11

1. Write 3 a.m. in 24-hour time. hours

2. The factors of 4 are , and .

3. 85 + = 170

4. 800 ÷ 100 = 8

800 ÷ 10 = 80

800 ÷ 1 = 800

800 ÷ 0.1 =

5. 6 1 2 = (improper fraction)

6. 2

10 = 0. = %

7. 8 + 2 = × 5

8. 5 300 =

9. Area = (L × W) = cm 2

10. Perimeter = cm

11. 0.7, 0.8, 0.9, , 1.1

12. Simplify 4 6 .

13. This is a .

14. 80 × 90 =

15. The value of the 3 in 3,278 is

3,000. 30,000.

16. 360, 369, , 387

17. 7

10 + 5 10 =

10

= .

6 cm

Write the chance of pulling the following coloured

marbles from the bag.

3 cm

1. Write 9 a.m. in 24-hour time. hours

2. 1% = 1

100 = 0.

3. Is 14 a multiple of 7?

4. 20 ÷ 10 = 2

20 ÷ 1 = 20

20 ÷ 0.1 =

5. 1 1 3 = (mixed number)

6. 4 =

2

7. 17 + 3 = 8 +

8. How many degrees has a right angle? °

9. Circle the number negative 2.

10. This is a net of a

11. 9,009 > 9,090 True False

12. What are the outcomes of tossing 2 coins?

, ,

,

13. This shape is a .

Review sample

14. 90 + = 210

15. 50% of 100 =

.

16. 20 × 70 =

17. 50% = 0.75 True False

18. A blue = in

19. An orange = in

20. A non-green marble = in

18. Simplify 9 12 .

19. 1 2 > 1 3 True False

20. 8 10 +

10

= 1 7 10

32 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Write 5 p.m. in 24-hour time. hours

2. 9 2 =

3. The factors of 6 are , ,

and .

4. 6 + 4 = 2 ×

5 m

1. Write 8 p.m. in 24-hour time. hours

2. 10% = 10

100 = 0.

3. Area (L × W) = m 2

4. Perimeter = m

5. 8 10 = 0.

6 m

5 m

Week 11

5. Area (L × W) = m 2

6. Perimeter = m

7. 5 10 = 0.

8. Is this angle likely to be 45º or 90º? °

9. 300 ÷ 10 = 30

300 ÷ 1 = 300

300 ÷ 0.1 =

10. This shape is a .

11. 3 2 5 = (improper fraction)

12. 50% of 60 =

13. How many pairs of parallel lines in

a parallelogram?

14. Write a prime number between 1 and 10.

15. 25% = 0.

16. The value of the 2 in 23,000 is 20,000. The place

value is

thousands.

17. Circle the number positive 2.

18. Simplify 8 10 .

ten thousands.

3 m

6. Is 21 a multiple of 4?

7. 4 2 =

8. Is 610 divisible by 5?

9. The angles in an isosceles triangle

are all

angles.

10. This rectangular number is .

11. Colour to show 1,700 m .

12. 18, 24, 30, 36, , 48

13. Write a composite number between 1 and 10.

14. This is a .

15. This is a net of a

Review sample

16. + 80 = 125

17. 25% of 100 =

18. 15 4 = (mixed number)

19. Circle the number negative 4.

.

19. What is the probability of picking a Jack from a pack

of 52 playing cards?

out of

20. 8 + 5 = 20 –

20. 9,995 , 9,997 , 9,999 ,

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 33


PROBLEM-SOLVING

FRIDAY REVIEW

Week 11

Tennis

Football

Hockey

Monday

5th Class After-school Sports

0

4 8 12 16

1. The total number of children surveyed was

.

2. There were more children who

played football than tennis.

Tuesday

0 12 cm 13 14 15 16 17

A B C D

What is the distance from

1. B to D? A to C?

2. C to D? A to D?

Wednesday

1. Matt and Alex read 15 books in a week. Alex

read twice as many books as Matt. How many

books did Matt read?

2. Mia and Erin read 12 books in a week. Mia

read 3 times as many books as Erin. How many

books did Mia read?

1.

5 8 9

+ 7

1 , 2 6 4

Thursday

1. Write 7 p.m. in 24-hour

time.

hours

2. The factors of 8 are

, ,

and .

3. 65 + = 140

4. 10% = 10

100 = 0.

5. 70 × 90 =

6. 7 + 8 = 3 ×

7. How many degrees has a

right angle?

°

8. 16 =

2

9. 700 ÷ 100 = 7

700 ÷ 10 = 70

700 ÷ 1 = 700

700 ÷ 0.1 =

10. Area = m 2

7 m

2 m

11. Perimeter of the above

rectangle

= m

12. What shape?

15. Is this angle likely to be

100°?

45°?

10°?

16. This is a net of a

17. This rectangular number

18.

is .

6 9 3

+ 1 8

8 7 1

19. What are the chances

of picking a King from a

pack of 52 playing cards?

20. Simplify 6 9 .

out of

21. 50% of 30 =

22. The place value of the 4

in 4,789 is

23. The chance of selecting a

green is

Review sample

in .

.

.

2. What is the rotation, in degrees, from 12 to 4?

°

13. 1 2 < 1 3 True False

14. Circle the number

negative 3.

24. 3 4 5 = (improper fraction)

–5 –4

–3 –2 –1

0

1

2

3

4

5

25. 4 10 = (decimal)

34 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Write 6 a.m. in 24-hour time. hours

2. The factors of 8 are , , and .

3. Area (L × W) = cm 2

4. Perimeter = cm

6 cm

3 cm

1. Write 6 p.m. in 24-hour time. hours

2. Circle the multiples of 5.

15 20 32

3. 5 600 =

Week 12

5. Circle the multiples of 2.

4 7 10

4. 25 =

2

5. Is 24,000 divisible by 5?

6. 4 10 = 0.

7. 3 2 4 = (improper fraction)

8. Colour the mixed number of 3 1 2 .

9. + 25 = 150

10. 50% of 40 =

11. Is 725 divisible by 5?

12. 60% = 0.

13. What 2-D shape?

12. 18 4 = (mixed number)

13. Can a circle tessellate?

14. 4 =

2

14. This is a net of a

15. 500 × 60 =

.

16. Write the numeral twenty-three point seven.

17. Tick which angle is likely to be 45º.

6. 6 10 = 0.

7. 20% = = 0.2

100

8. Area (L × W) = cm 2

9. Perimeter = cm

10. Colour the improper fraction of 8 3.

11. Circle the number negative 4.

15. Simplify 16

Review sample

A B C

16. 6 + 3 = 3 ×

17. + 65 = 130

20 .

7 cm

4 cm

18. Circle the number negative 5.

18. 25% of 40 =

19. 4 × 100 = 400

19. 3 + 5 = 4 × b, therefore b =

20. Simplify 5 10 .

4 × 99 =

4 × (100 – 1)

20. The place value of the 6 in 672,000 is

.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 35


WEDNESDAY

THURSDAY

Week 12

1. Write 11 a.m. in 24-hour time.

hours

2. The factors of 9 are , and .

3. The angles in a pentagon are all

4. Simplify 6 9 .

5. 5 × 100 = 500

5 × 99 =

5 × (100 – 1)

6. 1 8 + 4 8 =

7. 5% = 5

100 = 0.

8. Circle the multiples of 3.

angles.

9 12 16

9. 4

10 = 0.

10. What is the perimeter? m

8 m

11. 95 + = 160

12. 49 =

2

13. 25% of 100 =

2 m

5 m

6 m

14. Write the numeral seventy-four point nine.

15. 2 4

10 = (improper fraction)

16. Will this shape tessellate?

17. 7 + y = 3 × 5, therefore y =

18. 700 × 40 =

19. 50 ÷ 10 = 5

50 ÷ 1 = 50

50 ÷ 0.1 =

20. What is the probability of picking any red coloured

card from a deck of 52 playing cards?

1. Write 10 p.m. in 24-hour time. hours

2. The angles in an octagon are all

3. 130 + = 200

4. Area = cm 2

5. 5 8 + 2 8 =

6. 3 10 = 0.

angles.

7. What are the chances of picking any black coloured

card from a pack of 52 playing cards?

out of

8. The factors of 10 are , , and .

9. 200 ÷ 100 = 2

200 ÷ 10 = 20

200 ÷ 1 = 200

200 ÷ 0.1 =

10. 10% of 80 =

11. 1 4 + 1 4 =

12. % = 2

100 = 0.02

13. 6 × 100 = 600

6 × 99 =

6 × (100 – 1)

14. Write the numeral one hundred and sixteen point

five.

Review sample

15. 8 + = 3 × 4

16. Circle the multiples of 4.

6 8 16

17. This is a net of a

18. 1 2 < 1 5 True False

19. The value of the 7 in 73,200 is .

20. Circle the number positive 2.

10 cm

.

5 cm

out of

36 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

5

4

3

2

1

0

Monday

5th Class – Coins Found in School Bags

€2 €1 50c 20c 10c 5c 2c 1c

1. Which coins are not present?

, , and

2. What is the total amount found in the bags?


Tuesday

A landscaper is designing a garden makeover.

= lawn

= paving

Scale = 25 m 2

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

2. The maximum width of the paving is

m.

Wednesday

1. A fast train travels at 400 km per hour.

How far does it travel each 1 4 hour?

km

2. How far can it travel in a

fifth of an hour?

km

1. Write 11 a.m. in 24-hour

time.

hours

2. + 45 = 105

3. 7 10 = (decimal)

4. 25% of 40 =

5. 400 × 30 =

6. Simplify 12

20 .

7. Circle the multiples of 3.

12 20 15

8. 8 + = 4 × 4

9. 3 2 =

10. The value of the 7 in

72,100 is

11. The factors of 9 are

, and .

12. Each corner angle

= °

13. 60% = 0.

14. 7 × 100 = 700

7 × 99 =

7 × (100 – 1)

15. 300 ÷ 100 = 3

.

17. 1 2 > 1 5

True

False

18. % = 4

100

19. What are the chances of

picking a black coloured

card from a pack of 52

playing cards?

out of

20. A fast train travelled

200 km in half an hour.

How fast was it going?

21. This is a net of a

km per hour

22. 2 4 6 = (improper fraction)

23. Tick which angle is likely

to be 90°.

Review sample

Thursday

1. A tetromino is four squares joined by at least

one edge. Draw the other 4 tetrominoes.

24. Colour 4 1 2.

.

Week 12

300 ÷ 10 = 30

2. Colour the tetromino with the shortest

perimeter.

300 ÷ 1 = 300

300 ÷ 0.1 =

16. Write the numeral fiftysix

point five.

25. Circle the number

negative 4.

-5 -4 -3 -2 -1

0

1

2

3

4

5

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 37


MONDAY

TUESDAY

Week 13

1. Write 8 a.m. in 24-hour time. hours

2. Round 87 to the nearest 10.

3. A decagon has sides.

4. The factors of 15 are , , and .

1. Write 7 p.m. in 24-hour time. hours

2. Area = m 2

3. Perimeter = m

4. 2 + = 6 + 8

7 m

5 m

5. 8 × 100 = 800

8 × 10 = 80

5. Circle the multiples of 5.

5 51 15

8 × 1 = 8

8 × 0.1 = 0.

6. 20 6 = (mixed number)

7. Is 1.01 closer to 1 or 2?

8. Write the numeral three hundred point five.

9. 200 + = 450

10. What is the probability of picking a Queen from a

pack of 52 playing cards?

11. 10% of 90 =

12. 1

100 = 0.

out of

13. What is the value of 49 tens, 110 units and 12

hundreds?

14. Perimeter = m

15. The place value of the 5 in 530,000 is

16. Write these decimals from smallest to largest.

0.5 0.75 0.25

, ,

17. Which is likely to be 10°?

7 m

6 m

.

4 m

6. Is 1.82 closer to 1 or 2?

7. 4 × 100 = 400

4 × 10 = 40

4 × 1 = 4

4 × 0.1 =

8. 80 × 50 =

9. What is the rectangular number?

10. The angle between the

clock hands is °.

11. 0.25 = %

12. 5,432 + 507 =

13. Tick the prime number.

6 17 22

14. What shape?

Review sample

15. Write these decimals from smallest to largest.

16. 4 × 9 =

0.3 0.6 0.03

, ,

18. Does a regular hexagon have

parallel lines?

19. 20 – = 10 – 5

20. Simplify 12

20 .

17.

5

100 = 0.

18. 25% of 40 =

19. 620 + = 900

20. Will a rectangle tessellate?

38 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Write 2 a.m. in 24-hour time. hours

2. 1 3 > 1 2 True False

3. 4 10 +

10

= 1 3 10

4. 20 – = 4 + 5

5. Liam bought 4 packets (250 g) of crisps. The total

weight was

6. 8 × 3 × 3 =

g.

7. Is 1.49 closer to 1 or 2?

8. Write the numeral nine hundred and sixty point four.

9. Is 1.51 closer to 1 or 2?

10. 25 × 2 × 2 =

11. 9

100 = 0.

12. Which is likely to be 60°?

13. Simplify 4 12 .

14. The factors of 21 are

, , and .

15. + 340 = 500

16. Tick the shape that can tessellate.

17. 5 2 =

18. Write these decimals from smallest to largest.

0.2 0.8 0.22

, ,

19. 5 2 3 = (improper fraction)

20. This 8 × 3 grid makes the rectangular number of

.

1. Write 11 p.m. in 24-hour time. hours

2. Area = L × W = m 2

3. Perimeter = m

4. Write these decimals from smallest to largest.

0.75 0.56 0.8

5. 7 × 3 × 3 =

, ,

6. The value of the 8 in 86,900 is .

7. Is 1.55 closer to 1 or 2?

8. 20 – = 7 + 9

9. 1 4 of 1 kg = g

10. A clock hand moves from 12 to 3.

It moves °.

11. Circle the multiples of 7.

14 28 22

12. 3

100 = 0.

13. 50% =

100

= 0.5

14. This is a net of a

15. 25 + 25 + 25 + 25 =

Review sample

16. Simplify 10

15 .

17. 40 × 60 =

18. 10% of 50 =

19. 7 × 100 = 700

7 × 99 =

7 × (100 – 1)

20. What type of triangle?

6 m

.

3 m

Week 13

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 39


PROBLEM-SOLVING

FRIDAY REVIEW

Week 13

Monday

5 m 3 m

3 m

4 m

3 m

a

1. The length of side a is m.

1. Write 10 p.m. in 24-hour

time.

hours

2. 2 3 > 1 2 True False

3. Round 93 to the nearest

10.

14. 80 × 60

=

15. 10% of 70 =

16. What shape is this?

2. What is the perimeter of this irregular octagon?

m

1. Colour 2,100 m as

3 equal colours.

2.

Tuesday

Wednesday

1. The difference between two numbers is 1. Their

product is 20. The 2 numbers are

and .

2. Ethan had saved 10 times more than Liam.

Ethan had €80. What had Liam saved?


9 0 9

– 5 5

3 6 4

1. Draw Row 6.

4. The factors of 14 are

, ,

and .

5. Is 1.8 closer to 1 or 2?

6. Which is likely to be 10°?

7. 5 2 =

8. Write the numeral seven

hundred point seven.

9. 400 + = 750

10. What is the angle rotation

from 9 to 10?

1° 30°

90° 360°

11. 30 – = 7 + 18

12. What is the rectangular

number?

17. Write these decimals from

smallest to largest.

0.8 0.2 0.4

, ,

18. 4 10 = (decimal)

19. Colour 2,400 m as 3

equal colours.

20. Does a square have

parallel lines?

21. 0.65 = %

22. Area = m 2

Review sample

Thursday

7 m

3 m

23. What is the perimeter of

the above rectangle?

m

24. 6,341 + 258

2. Write the value of 150 units and 36 tens.

13. 7 × 3 × 3 =

=

25. Will an oval

tessellate?

40 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Write 05:00 hours in 12-hour time.

2. The radius of a circle is 2 cm. What is the diameter?

cm

3. Write the numeral six hundred and eighty point two.

1. Write 10:00 hours in 12-hour time.

2. Area = m 2

3. Perimeter = m

4. Round 4.75 (nearest whole).

3 m

4 m

Week 14

5. 60 × 10 = 600

4. 6,304 – 8 =

60 × 1 = 60

5. Round 2.02 (nearest whole).

6. 4 2 =

7. Write these decimals from smallest to largest.

0.25 0.2 0.5

8. 50% of 60 =

, ,

9. Which could be 10°?

10. What is the probability of picking an Ace from a pack

of 52 playing cards?

11. 7

100 = 0.

out of

12. 10 ÷ 2 = 4 +

13. Area = m 2

14. Perimeter = m

15. 500 ÷ 100 = 5

500 ÷ 10 = 50

500 ÷ 1 = 500

500 ÷ 0.1 =

16. Simplify 5 20 .

10 m

3 m

60 × 0.1 =

6. 9,998 + 6 =

7. Simplify 6 12 .

8. What shape has 7 sides?

9. 20 ÷ 2 = 2 ×

10. 2 × 25 × 2 =

11. 2

100 = 0.

12. The radius of a circle is 5 cm. What is the diameter?

cm

13. This is a .

14. The place value of the 9 in 932,200 is

15. 4 × 3 × 3 =

16. How many make up €2?

Write the chance of pulling the following coloured

counters from a bag.

Review sample

.

17. What 2-D shape will you see in

the cut section?

18. The factors of 22 are

, , and .

19. 8 4 5 = (improper fraction)

20. The value of the 6 in 164,900 is .

17. Blue = in

18. Yellow = in

19. Red = in

20. The chance of not picking a yellow is

in .

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 41


WEDNESDAY

THURSDAY

Week 14

1. Write 13:00 hours in 12-hour time.

2. The radius of a circle is 6 cm. What is the diameter?

cm

3. 2,307 – 9 =

4. Round 8.99 (nearest whole).

1. Write 23:00 in 12-hour time.

2. Simplify 4 10 .

3. This is a .

4. Write the numeral three hundred and two point nine.

5. This is a net of a .

6. 0.9 = 99% True False

7. Write the numeral two hundred and ninety-seven

point five.

8. 8,001 – 7 =

9. Circle the multiples of 3.

24 5 33

10. 30 ÷ 2 = 5 ×

11. 40 × 100 = 4,000

40 × 10 = 400

40 × 1 = 40

40 × 0.1 =

12. The angle between the clock

hours 5 and 6 is °.

13. 8

100 = 0.

14. 10 × 100 = 1,000

10 × 99 =

10 × (100 – 1)

15. 9,994 + 7 =

16. Area = m 2

17. 25% of 60 =

18. 6% = 0.

19. Write these decimals from the smallest to the largest.

0.7 0.3 0.07

, ,

20. What is the probability of picking any King or Queen

out of a pack of 52 playing cards?

out of

5. The factors of 18 are

, , , , and .

6. 900 × 10 = 9,000

900 × 1 = 900

900 × 0.1 =

7. 40% = 0.

8. The radius of a circle is 8 cm. What is the diameter?

cm

9. What shape has 9 sides?

10. Area of rectangle = 40 cm 2

Half of the area (triangle) = cm 2

11. 35 8 = (mixed number)

12. Circle the multiples of 8.

84 80 88

13. 10% of 60 =

14. Which line of symmetry?

vertical horizontal

15. The angles in a square are all .

16. 9

100 = %

17. Write these decimals from smallest to largest.

0.05 0.5 0.55

, ,

18. The area of a square with 5-cm sides = cm 2

19. 600 ÷ 100 = 6

600 ÷ 10 = 60

600 ÷ 1 = 600

600 ÷ 0.1 =

20. Round 304 to the nearest 10.

T

Review sample

= 1 m 2

10 cm

4 cm

42 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. 6,000 = 60 ×

600 = 60 ×

60 = 60 ×

2. Colour to show 7 4 + 3 4

= (mixed number)

1. Write 14:00 hours in

12-hour time.

2. The radius of a circle

is 5 cm. What is the

diameter?

cm

14. What shape?

15. 4

100 = 0.

16. This is a net of a

.

Week 14

Tuesday

1. 1 4 of the 40 boys at football practice wore

coloured boots. What percentage of boys didn’t

wear coloured boots?

%

2. How many boys wore coloured boots?

Wednesday

1. Write as a number sentence.

A bike rack held 12 bikes. Each bike had 5 ‘go

fast’ stickers. How many stickers altogether?

2. A quarter of the stickers were red. How many

stickers were not red?

Thursday

1. What is the area of this irregular hexagon?

2. What is the

perimeter?

m 2

m

3. 50% of 80 =

4. Round 143 to the nearest

10.

5. The factors of 21 are

6. 3 2 =

7. 18 ÷ 2 = 4 +

8. Simplify 8 10 .

, ,

and .

9. 1 4 of the 24 class

members had toast for

breakfast. What number

didn’t have toast?

10. What shape has 9 sides?

11. Round 3.03 (nearest

whole).

12. In 233,033 the value of

the 2 is

13. Write these decimals

from smallest to largest.

0.5 0.55 0.3

, ,

.

17. Area = cm 2

3 cm

3 cm

18. 25 8 = (mixed number)

19. 100 × 9 = 900

99 × 9 =

(100 – 1) × 9

20. What is the probability of

picking any Jack from a

deck of playing cards?

out of

21. What 2-D shape will you

see in the cut section?

Review sample

22. 0.85 = %

23. Perimeter = m

12 m

24. 900 × 0.1 =

2 m

25. Circle the multiples of 4.

= 1 m 2

28 34 40

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 43


MONDAY

TUESDAY

Week 15

1. Write 08:00 hours in 12-hour time.

2. Write the numeral one thousand, six hundred and

two point nine.

3. How many acute angles in an equilateral triangle?

1. Write 17:00 hours in 12-hour time.

2. Circle the multiples of 9.

45 54 55

3. 15 × 25 × 4 =

4. Is 1.43 closer to 1.4 or 1.5?

5. The radius of a circle is 4 cm. What is the diameter?

4. Is 1.08 closer to 1.00 or 1.10?

5. 9,997 + 7 =

6. 0.7 = %

7. 8 × 25 × 4 =

8. 180 – = 90

9. Six 250-g packs of jelly beans = g

10. 5 900 =

11. 70 × 90 =

12. 10,000 – 10 =

13. This angle is likely to be

45°. 10°. 80°.

14. 40 – 10 = 3 × b, therefore b =

15. The place value of the 2 in 245,670 is

16. 100% =

100

= 1

17. The area of triangles A, B and C = cm 2

A

10 cm

C

B

4 cm

18. The factors of 25 are , and

.

19. 0.03 > 0.1 True False

20. What type of triangle?

.

cm

6. 100 – = 65

7. Write the numeral ten thousand, two hundred and

two point seven.

8. Simplify 10

9. 1 2 = 2 4 =

20 .

10. 1.25 = %

11. This is a net of a

12. 6 2 =

13. What is the probability of picking a King, Queen or

Jack from a pack of 52 playing cards?

out of

14. The protractor reading

Review sample

at A is °.

15. At B is °.

16. Write these decimals from smallest to largest.

0.6 0.3 0.9

17. 10,000 – 50 =

18. 10% of 90 =

19. 60 – 20 = 5 ×

, ,

20. Is 7, 9 or 15 prime?

.

44 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Write 20:00 hours in 12-hour time.

2. The factors of 24 are

, , , , , ,

and .

1. Write 15:00 hours in 12-hour time.

2. This is a net of a

.

3. 25% of 80 =

Week 15

3. 120 – = 80

4. 18

100 = 0.

5. The value of the 4 in 439,000 is .

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

cm

7. Is 1.77 closer to 1.7 or 1.8?

8. The perimeter of this square

= cm

9. Simplify 2 10 .

10. This angle is most likely to be

45°. 10°. 80°.

11. 0.25 = %

12. Round 803 to the nearest 10.

13. 1 3 =

9

14. 25.2 + 16.4 =

15. This rectangular number is .

16. What type of triangle?

17. Write these decimals from smallest to largest.

0.2 0.02 0.25

18. 9 × 3 × 2 =

, ,

19. What 3-D shape has 7 faces, 15 edges and 10

vertices?

3 cm

20. 0.2 > 0.09 True False

4. What is the probability of picking a spade from a

pack of 52 playing cards?

out of

5. Is 1.24 closer to 1.2 or 1.3?

6. 10

100 = 0.

7. 2,000 , 200 , 20 ,

8. The radius of a circle is 12 cm. What is the diameter?

cm

9. 100 – 20 = 40 ×

10. The protractor reading

at A is °.

11. At B is °.

12. 8 × 100 = 800

8 × 99 =

8 × (100 – 1)

13. 145 – = 90

14. What 2-D shape will you see

in the cut section?

15. 0.83 = %

Review sample

16. Simplify 15

17. 5 400 =

20 .

18. Circle the multiples of 8.

46 64 48

19. Is 3 4 equivalent to 6 8 ?

20. Draw a 180° turn clockwise.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 45


PROBLEM-SOLVING

FRIDAY REVIEW

Week 15

1. How many children

did not visit a

hairdresser?

Monday

2. Which had more visits?

3 and 4 visits

4 and 5 visits

5 and 6 visits

Tuesday

1. A cake was cut into quarters. After separating

the slices, what was the total perimeter of the 4

cake pieces?

2.

cm

3 1 2 hours later:

1. Complete the table.

Wednesday

€10 10

€2 10

50c 10

Number Total €

2. Share €100 evenly into 8 piles. The amount in

each pile is

€ .

No. of Children

Thursday

1. How many packets of crisps?

5th and 6th Classes – Number of

Visits to a Hairdresser in a Year

16

14

12

10

8

6

4

2

0

0 1 2 3 4 5 6 7

No. of Visits

1. Write 21:00 hours in

12-hour time.

2. 70 × 90

=

3. Round 849 to the nearest

10.

4. 4 2 =

5. 5 700 =

6. Is 1.07 closer to 1 or

1.1?

7. 1 = %

8. 120 – = 70

9. 0.02 > 0.1

True

False

10. How many packets are in

the box?

11. How many acute angles

has an equilateral

triangle?

13. 0.8 = %

14. 40 – 20 = 5 ×

15. The value of the 6 in

632,113 is

16. The protractor reading at

A is

°.

17. 4 × 100 = 400

4 × 99 =

4 × (100 – 1)

18. The factors of 18 are

, , ,

, and

.

19. The radius of a circle

is 7 cm. What is the

diameter?

cm

20. 8 × 3 × 3 =

Review sample

21. 3 5 + 3 5 =

5

.

= 1 1 5

22. 0.05 = %

23. 3,000 , 300 , 30 ,

3 ,

2. How many cats are there?

School Pet Survey

Cats

Fish

Birds

Dogs

60

12. This angle is likely to be 24. Circle the multiples of 6.

10°.

42 30 16

90°.

25. Simplify 9 12 .

45°.

46 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Write 7.30 a.m. in 24-hour time. hours

2. 70 – = 45

3. This is a .

1. Write 4.15 a.m. in 24-hour time. hours

2. 8,007 – 8 =

3. Simplify 4 8 .

4. Is 2.89 closer to 2.8 or 2.9?

Week 16

5. 140 – = 45

4. Is 2.06 closer to 2 or 2.1?

5. Write the numeral five hundred and fifty-five point

seven.

6. 8,005 – 9 =

7. 29 7 = (mixed number)

8. Which fraction is equivalent to 3 5?

1

2

3

10

9. This angle is likely to be

6

10

45°. 15°. 95°.

10. 500 , 50 , 5 ,

11. 12

100 = 0.

12. 8 × 3 × 3 =

13. Area = m 2 3 m

14. 200 = 40 ×

15. Simplify 8 12 .

16. The radius of a circle is 8 cm. What is the diameter?

cm

17. This is a .

2 m

6. 4 8 = 12

7. Round 147 to the nearest 10.

8. What 2-D shape will you see in

the cut section?

9. Bill earns €10 per hour. How much will he earn in

5 hours? €

10. The protractor

reading at A is °.

11. The place value of the 0 in 202,312 is

12. 80 ÷ 10 = 8

80 ÷ 1 = 80

80 ÷ 0.1 =

13. 140% = 1. = 140

100

14. True or false?

15. What is the probability of

picking a club from a pack

of 52 playing cards?

out of

16. The radius of a circle is 10 cm. What is the diameter?

cm

800 g

400 g

Review sample

.

1 kg

200 g

18. Write these decimals from largest to smallest.

0.6 0.4 0.9

, ,

19. The value of the 7 in 780,000 is .

20. 0.1 > 0.09 True False

17. Tick which you would use to measure the capacity of

an egg cup.

m

18. A square-based pyramid has faces.

19. 5 720 =

20. 4, 7, 13, 25, 49,

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 47


WEDNESDAY

THURSDAY

Week 16

1. Write 7.20 p.m. in 24-hour time. hours

2. Write these decimals from largest to smallest.

0.03 0.33 0.3

, ,

1. Write 10.45 p.m. in 24-hour time. hours

2. The radius of a circle is 15 cm. What is the diameter?

cm

3. This is a

3. 25% = 0.

4. Is 2.53 closer to 2.5 or 2.6?

4. 900 – = 490

.

5. Area = m 2

6. Perimeter = m

7. 30

100 = 0.

8. How many obtuse angles has a pentagon?

9. 7

100 = 0.

10. This angle is likely to be

11. 7 2 =

90°. 100°. 180°.

12. Siobhán earns €12 per hour.

How much will she earn in 5 hours? €

13. 5 4 7 = (improper fraction)

14. 500 – = 150

15. 8

12 – 2 12 =

16. This is a

17. 3 5 + 8 5 =

rectangular prism.

pentagonal pyramid.

pentagonal prism.

5

= (mixed number)

18. This is a net of a .

8 m

5 m

5. 9 × 3 × 3 =

6. Is 2.47 closer to 2.4 or 2.5?

7. Tick which you would use to measure the capacity of

a bath.

m

8. Simplify 6 8 .

9. 99

100 = %

10. This is a

11. 0.08 > 0.04 True False

12. 4 5 + 4 5 =

5

13. 10,000 – 100 =

= (mixed number)

14. Write these decimals from largest to smallest.

0.7 0.17 0.71

, ,

15. What quadrilateral has 4 lines of symmetry?

Review sample

16. Patrick earns €15 per hour.

How much will he earn in 5 hours? €

17. 200 = 40 ×

18. How many right angles has a hexagon?

.

19. 50 × 10 = 500

19. A triangular-based pyramid has faces.

20. 200 = 50 +

50 × 1 = 50

50 × 0.1 =

20. 600 × 50 =

48 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Write the missing numbers onto the number

line.

0 1.25

2. A bag holds 8 red, 2 blue and 10 green marbles.

What is the chance of selecting a green marble?

in

Tuesday

1. A = 100 × 2.5 kg B = 100 × 250 g

Colour.

A

2. A = 1 4 of 120 kg B = 30 × 1.5 kg

Colour.

A

B

Wednesday

1. A racing car completed 20 laps of a 2.5-km

track. What was the total distance covered?

km

2. A vase held 24 flowers. A quarter were roses.

The rest were an equal amount of tulips and

daisies. How many tulips were there?

B

1. Write 7.30 p.m. in

24-hour time.

hours

2. 41 7 = (mixed number)

3. 80 – = 25

4. This is a

5. Is 2 4 equivalent to 3 6 ?

6. The radius of a circle

is 8 cm. What is the

diameter?

7. 160

cm

100 = 1.6 = %

8. Is 2.79 closer to 2.7 or

2.8?

9. Write these decimals

from largest to smallest.

0.2 0.45 0.4

, ,

10. Round 354 to the nearest

10.

11. 25% = 0.

.

15. Kelly earns €15 per hour.

How much will she earn

in 4 hours?


16. A = 10 × 4.5 kg

B = 10 × 450 g

A

17. This is a net of a

18. 500 × 30 =

19. What are the chances of

picking any spade from a

pack of 52 playing cards?

out of

20. 10,000 – 150

=

21. Tick which you would use

to measure the capacity

of a cup.

m

22. 4, 7, 13, 22, 34,

23. A square-based pyramid

Review sample

has

B

faces.

.

Week 16

Thursday

12. How many obtuse angles

has a hexagon?

70 80 90 700 10 20 30

B

1. A = mm

2. B = mm

A

13. 4

100 = (decimal)

14. Which fraction is

equivalent to 2 5?

1

2

4

5

5 m

7 m

24. Area = m 2

25. Perimeter = m

4

10

2

10

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 49


MONDAY

TUESDAY

Week 17

1. Write 8.25 a.m. in 24-hour time. hours

2. 300, 30, 3, 0.3,

3. This is a net of a

.

1. Write 10.45 a.m. in 24-hour time. hours

2. The diameter of a circle is 16 cm. What is the radius?

cm

3. Round 747 to the nearest 10.

4. Round 4.83 (nearest whole number).

5. Fiona earns €14 per hour. How much will she earn in

4 hours?


6. 150 – = 90

7. Simplify 14

20 .

8. 8 5 + 7 5 =

5 =

9. Colour to show 750 m .

10. Tick which you would use to

measure the capacity of a barrel.

m

11. 90 ÷ 10 = 9

90 ÷ 1 = 90

90 ÷ 0.1 =

12. 70 + 80 = 30 ×

13. 3 6 =

2

14. Write these decimals from largest to smallest.

0.25 0.5 0.52

, ,

15. 0.03 = %

16. Complete the factors of 18.

1, 2, 3, , , 18

17. Draw an arrow at 100°.

18. 80 × 80 =

19. The place value of the 8 in 876,530 is

20. People put the following coins in a charity box. Circle

the coin that was put in most frequently.

€2 10c €2 50c €1

.

4. Simplify 15

18 .

5. 7 × 100 = 700

7 × 99 =

7 × (100 – 1)

6. 2 × = 100

7. Round 4.77 (nearest whole number).

8. Will an equilateral

triangle tessellate?

9. €10.35 + €5.05 + €4.20 = €

10. What is the probability of picking an 8 of diamonds

from a pack of 52 playing cards?

11. 8 2 =

out of

12. Sam earns €11 per hour. How much will he earn in 6

hours?


13. The coloured 10 × 10 grid shows the decimal

Review sample

180°


14. 5 890 =

15. 0.25 = %

16. 4 + 17 = 7 ×

17. 200 – = 3

.

18. Write these decimals from largest to smallest.

0.6 0.06 0.66

19. 50% of 50 =

, ,

20. 43 8 = (mixed number)

50 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Write 3.20 p.m. in 24-hour time. hours

2. Simplify 10

12 .

3. Kate earns €16.50 per hour. How much will she earn

in 3 hours? €

4. Write four hundredths as a decimal.

5. The place value of the 4 in 327,400 is

6. The diameter of a circle is 20 cm. What is the radius?

cm

7. Round 3.62 (nearest whole number).

8. 10 2 =

9. 4 × 100 = 400

4 × 99 = 4 × (100 – 1)

= 400 –

= 396

10. 9,909 + = 10,000

11. This angle is

0°. 180°. 360°.

12. 250 – = 199

13. 28 × 25 × 4 =

14. 1 > 3 4 > 0.5 True False

15. Write in ascending order.

2 0.02 0.2

, ,

The pictogram shows the weather forecast.

M Tu W Th F Sa Su

.

1. Write 6.35 p.m. in 24-hour time. hours

2. Tick which you would use to measure the capacity of

a fish tank. m

3. What change from €2? c

4. 501 – = 300

5. Round 3.33 (nearest whole number).

6. Is 2 10 equivalent to 4 10 ?

7. People put the following coins in a charity box. Which

coin was put in most frequently?

50c 10c 5c €2 50c 20c

8. 70 × 10 = 700

70 × 1 = 70

70 × 0.1 =

9. 10,000 – 5,000 = 1,000 × b, therefore b =

10. This is a

11. The diameter of a circle is 18 cm. What is the radius?

cm

12. 0.09 < 1 2 < 0.03 True False

13. 0.4 = %

14. Which fraction is coloured?

36

10

36

100

15. 6 3 10 = (improper fraction)

16. Write these decimals from largest to smallest.

0.5 0.25 0.52

Review sample

17. 542 × 3 =

, ,

3

6

.

€1.85

Week 17

16. How many days will have cloud?

17. Will it rain for more than half the week?

18. Which day will probably be the warmest?

19. Will it snow?

20. Which day has lightning been forecast for?

18. What is the probability of picking a King, Queen or

Jack of hearts from a pack of 52 playing cards?

out of

19. Write in descending order.

0.3 3 0.03

, ,

20. Draw a 270° turn anticlockwise.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 51


PROBLEM-SOLVING

FRIDAY REVIEW

Week 17

8 m

Monday

16 m

24 m

1. The length of A = m

2. The length of B = m

1.

Tuesday

5 m

2. A farmer planned his tree plantings.

What is the total area covered by trees?

m 2

A A A

A O A O A

A O A O A

A O A O A

A A A

Scale

A

B

= 25 m 2

A = 2 ash trees

O = 3 oak trees

Wednesday

1. To land on a 2, Spinner(s)

A has a better chance.

B has a better chance.

A and B have an equal chance.

3

5

1 4

8

2

6

7

A

2. A litre of milk is €1.45. What change will you

receive from €2?

1.

2.

Fold paper

in half.

c

Fold

Cut

shape.

6

3

Thursday

2

5

Unfold. Draw

new shape.

1

4

B

1. Write 5.25 p.m. in

24-hour time.

2. 9 2 =

hours

3. The length of A

= cm

20 cm

30 cm

4. 120 – = 70

5. 0.29 = %

6. Jim earns €16 per hour.

How much does he earn

in 4 hours?


7. Tick which you would use

to measure the capacity

of a paddling pool.

m

8. 9 + 9 = 3 ×

9. 5 690 =

10. This angle is

0°. 180°.

360°. 90°.

11. 1 > 3 10 > 0.1

True

A

False

12. A litre of milk is €1.50.

What change from €10?


13. Is 3 4 equivalent to 2 3 ?

14. 7 3 4 = (improper fraction)

15. What 2-D shape

will you see in

the cut section?

16. 50 × 80 =

17. People put the following

coins in a charity box.

Which coin was put in

most frequently?

50c €2 €2

10c 50c 50c

18. Write in ascending order.

3 0.03 0.3 33

19. Colour 0.34

, , ,

20. The chance of picking

any King or Queen from a

pack of 52 playing cards is

out of .

21. Draw an arrow at 120°.

180°

22. 0.08 = %

Review sample

9:30 3 1 2 hours later :

9:30 3 1 2 hours before :

23. Write these decimals from

largest to smallest.


0.7 0.75 0.5

, ,

24. If you are paid €8.50 an

hour, how many hours do

you need to work to earn

€42.50?

25. 36 × 25 × 4

=

52 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Write 16:25 in 12-hour time.

2. 3 × = 24

3. People put the following coins in a charity box. Which

coin was put in most frequently?

1. Write 10:40 in 12-hour time.

2. 6 2 =

3. 9 × = 45

4. Circle the equivalent fraction to 1 4 .

Week 18

20c 5c €1 5c €1 €2 5c 10c

4. Write in ascending order.

5. Simplify 6 9 .

7 0.7 0.07 7.7

, , ,

6. Round 8.22 (nearest whole number).

7. Draw the diagonal lines of symmetry.

8. James earns €14.50 per hour. How much will he earn

in 4 hours?


9. The decimal shaded is .

10. 57

10 = (mixed number)

11. 140 – = 80

12. Circle the equivalent fraction to 1 2 .

3

4

5

10

13. , 9, 90, 900

14. The place value of the 3 in 532,000 is

15. The diameter of a circle is 22 cm. What is the radius?

cm

16. Write the prime numbers between 11 and 20.

, , and

17. Round 109 to the nearest 10.

18. 900 – 300 = + 300

19. 15.5 – 12.2 =

20. 17,000 – 9,500 =

2

3

.

1

2

2

8

5. People put the following coins in a charity box. Which

coin was put in most frequently?

20c €1 €2 20c 10c €2 20c

6. Round 7.11 (nearest whole number).

7. 4% = 0.

8. What 2-D shape will you see in the

cut section?

9. Simplify 9 12 .

10. Draw as a 270° turn clockwise.

11. Tick which you would use to measure the capacity of

a cereal bowl. m

12. 14.8 – 6.5 =

13. A tetrahedron has vertices.

14. What is the probability of picking a King, Queen, Jack

or Ace of diamonds from a pack of 52 playing cards?

out of

15. 1, 4, 9, 16, , 36

16. €50.00 – €35.40 = €

17. 20 ÷ 10 = 2

Review sample

20 ÷ 1 = 20

20 ÷ 0.1 =

18. Write these decimals from largest to smallest.

0.4 0.04 0.44

, ,

19. 800 – 500 = 100 ×

20. Write in descending order.

8 8.8 0.8 0.08

3

6

, , ,

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 53


WEDNESDAY

THURSDAY

Week 18

1. Write 05:05 in 12-hour time.

2. × 3 = 21

3. 18.8 – 11.5 =

4. Round 6.49 (nearest whole number).

1. Write 19:50 in 12-hour time.

2. 10 2 =

3. 6 × 0.1 =

6 × 10 = 60

5. Area = m 2

6. Perimeter = m

7 m

5 m

6 × 100 = 600

4. Round 3.94 (nearest whole number).

7. 100

100 = (whole number)

8. Round 5,221 to the nearest 10.

9. A cuboid has vertices.

10. This is a .

11. 50 × 80 =

12. The value of the 4 in 641,000 is

13. Children in a dance class were the following ages.

Which age occurs most frequently?

.

8 7 9 7 7 9 8

14. 10% = 0.

15. The diameter of a circle is 30 cm. What is the radius?

cm

16. Write these decimals from largest to smallest.

0.02 0.22 0.2

, ,

17. – 75 = 120

18. What 2-D shape?

5. 10,000 – 25 =

6. × 4 = 28

7. 9 10 = (decimal)

8. Circle the equivalent fraction to 3 4 .

4

6

6

10

9. 15 ÷ 5 = ÷ 10

10. This 3-D shape is a

11. Emily earns €15.25 per hour. How much will she earn

in 5 hours?


12. Tick which you would use to measure the capacity of

a garden pond. m

13. 30 × 700 =

14. The angle between the clock hours

7 and 8 is °.

15. 1 or 2 lines of symmetry?

Review sample

16. 19.6 – 5.5 =

17. Simplify 15

20 .

18. €50.00 – €31.40 = €

19. Will a square and a rectangle

tessellate together?

.

6

8

19. 4 5 6 = (improper fraction)

20. Write the composite numbers between 11 and 20.

, , , , and

20. 200 ÷ 10 = 20

200 ÷ 1 = 200

200 ÷ 0.1 =

54 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Colour with 3 colours. 600 m ,

500 m and 700 m .

2. What is the remaining capacity?

1.

2.

m

9 3 5

– 2 1

6 8 4

7 3

+ 3 9

1 , 0 9 8

Tuesday

Wednesday

3

1. The total area of

A and B

3

= cm 2

2. The difference between

the 2 coloured areas is

cm 2 .

6 cm

Thursday

There are 9 packets (250 g each) in the box of crisps.

A

A

2

2

B

= 1 cm 2

6 cm

1. Write 19:55 in 12-hour

time.

2. , 5, 50, 500

3.

4. 10,000 – 75

=

5. What are the chances

of picking any red card

from a deck of 52 playing

cards?

6. 600 – 400

= 150 +

out of

7. Round 7.38 (nearest

whole).

8. A tetrahedron

has

9. 18,000 – 6,500

=

6 5 3

– 4 7

1 7 4

vertices.

10. 3 × = 21

11. 30 ÷ 10 = 3

30 ÷ 1 = 30

30 ÷ 0.1 =

12. 150 – = 90

15. The diameter of a circle is

6 cm. What is the radius?

16. Simplify 8 12 .

17. 30 × 90

=

cm

18. 49, 36, 25, , 9, 4, 1

19. Write in descending

order.

0.8 8 0.08 80

20. This is a

, ,

,

21. A dozen eggs cost €6.50.

How many dozen can you

buy with €32.50?

22. A square-based pyramid

Review sample

has

edges.

23. Round 308 to the nearest

10.

.

Week 18

1. The total weight of the box of crisps is

. kg.

2. Using only the weights below, work out how

many of each will have to be added to Box A to

balance the scales.

1 kg × 500 g ×

250 g ×

13. Children in a drama group

were the following ages.

6, 7, 5, 7, 6, 8, 7, 7

Which age occurs most

frequently?

14. Circle the equivalent

fraction to 1 4 .

3

10

2

8

4

10

24. has a

vertical

horizontal

diagonal

line of symmetry.

25. 16.5 – 7.2 =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 55


MONDAY

TUESDAY

Week 19

1. Write 18:25 in 12-hour time.

2. 2.25 + 3.31 =

3. This angle is likely to be

45°. 135°. 180°.

1. Write 21:20 in 12-hour time.

2. A = °

3. B = °

4. 5.05 – 2.94 =

4. A bowl had 1 kg of crisps. After a party there was

350 g left. What weight had been consumed?

g

5. 5 × = 40

6. Circle the equivalent fraction to 1 3 .

2

4

7. 20 ÷ 4 = ÷ 10

8. Round 9.96 (nearest whole number).

9. (3 × 4) + 5 =

10. 7.3 – 2.1 =

11. 41 × 4 × 25 =

2

6

12. Complete the factors of 12.

13. 15% = 0.

1 12

14. 45 – 10 = 5 × k, therefore k =

15. 9

100 = 0.

2

3

16. €50.00 – €23.60 = €

17. Which fraction is coloured?

8

1

8

10

20

100

18. Children in a dance class were the

following ages. Which age occurs most frequently?

2

8

5. 7 × = 35

6. (5 × 2) + 8 =

7. Round 9.82 (nearest whole number).

8. Simplify 16

20 .

9. 18.5 – 14.2 =

10. Draw another 3 lines of symmetry on the square.

11. Add the value of 91 tens and 10 tens.

12. 32 ÷ 8 = 40 ÷

13. How many degrees has this angle? °

14. Write the decimals from largest to smallest.

15. 7% = 0.

16. 1

100 = 0.

0.7 0.77 0.07

, ,

17. Kevin earns €19.20 per hour. How much will he earn

in 3 hours?

Review sample


18. Draw the lines of symmetry.

12 10 13 11 12 14

19. 150 – = 90

20. 0.4 > 1 2 True False

19. 34 7 = (mixed number)

20. The diameter of a circle is 16 cm. What is the radius?

cm

56 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Write 04:55 in 12-hour time.

2. 7.24 + 2.31 =

3. 200 ÷ 10 = 4 ×

4. × 8 = 64

5. (3 × 5) + 4 =

1. Write 08:35 in 12-hour time.

2. Mary earns €17.20 per hour. How much will she earn

in 4 hours?


3. 40 ÷ 8 = 20 ÷

4. (2 × 10) + 7 =

Week 19

6. Circle the equivalent fraction to 2 3 .

4

6

7. Round 10.43 (nearest whole number).

8. Simplify 10

15 .

9. 19.7 – 10.5 =

10. Draw another line of symmetry on the circle.

11. 8 2 =

12. Write as an improper fraction.

13. The mixed number is .

14. 10

100 = 0.

4

8

15. Tick which you would use to measure the capacity of

a dustbin. m

16. What is the probability of picking an Ace or a King

from a pack of 52 playing cards?

out of

17. 199 – = 98

4

10

5. 28.5 – 12.4 =

6. Round 10.56 (nearest whole number).

7. 5 4 9 = (improper fraction)

8. × 4 = 24

9. Draw another line of symmetry on the rectangle.

10. Draw a 90° turn anticlockwise.

11. 4 2 =

12. 6.14 + 2.74 =

13. 3 5 + 1 5 =

14. 20 × 600 =

15. Write in ascending order.

3.3 0.3 0.33 30

, , ,

16. The diameter of a circle is 18 cm. What is the radius?

Review sample

cm

17. What decimal is coloured?

18. Round 3,456 to the nearest 10.

19. 10,000 – 250 =

20. Write these decimals from largest to smallest.

0.5 0.25 0.52

18. 10 × = 70 + 30

19. Simplify 4 12 .

20. 11% = 0.

, ,

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 57


PROBLEM-SOLVING

FRIDAY REVIEW

Week 19

Monday

1. What is the coloured area?

m 2

2. What is the perimeter

of the coloured area?

m

= 1 m 2

1. Write 21:45 in 12-hour

time.

2. 3.14 + 4.63 =

3. 60 × 80

=

15. 10,000 – 750

=

16. Write in ascending order.

2.2 20.2 0.2 22

, ,

,

1. Match the angles.

Tuesday

90° 60° 120°

2. Draw an E at approximately 45°.

Wednesday

= 1 m 2

1. The area of the yellow squares = m 2

2. The area of the orange squares = m 2

Thursday

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1. In millimetres, what is the difference in length

between the 2 pencils?

mm

2. What is the total length of the 2 pencils?

mm

4. 5

100 = 0.

5. 5 × = 35

6. What is the coloured

area?

58 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class

m 2

= 1 m 2

7. Circle the fraction

equivalent to 2 3 .

1

4

8. 7 2 = 7 ×

=

4

6

9. (9 × 2) + 2 =

5

9

10. What is the perimeter

of the coloured area in

Question 6?

11. 0.4 < 1 2

True

m

12. 8.5 – 2.4 =

False

13. Round 2,334 to the

nearest 10.

14. 30 ÷ 5 = × 1

17. 34 8 = (mixed number)

18. €50.00 – €42.60

= €

19. Perimeter = m

9 m

11 m

9 m

20. Match the angles.

60° 90° 120°

21. 10,000 – 500

=

22. How many degrees has

this angle?

Review sample

°

23. Children in a karate class

were the following ages.

Which age occurs most

frequently?

10 11 9 8 9 10 9

24. 170 – = 110

25. Jessica earns €18.30 per

hour. How much will she

earn in 3 hours?


MONDAY

TUESDAY

1. Write 6.25 p.m. in 24-hour time.

2. 1 4 + 2 4 =

hours

3. 26.8 – 14.2 =

4. (5 × 10) + 2 =

5. The diameter of a circle is 12 cm. What is the radius?

cm

6. Round 19.97 (nearest whole number).

7. 4 900 =

8. 0.01 = %

9. Use or

= .

A = 40 × 10 g

A

10. 1 2 kg = g

11. Roll a dice. The chance it will land on a ‘6’ is

12. 8 × 4 × 3 =

13. This angle is

in .

1

2

kg

< 90°. > 90°. = 90°.

14. has lines of symmetry.

15. Circle the equivalent fraction to 2 6 .

6

10

16. 4, 8, 16, 32,

3

8

17. Draw a 90° turn clockwise.

1

3

1. Write 17:50 in 12-hour time.

2. 4 232 =

3. Simplify 5 20 .

4. 9 2 =

5. 2 10 = (decimal)

6. 85 9 = (mixed number)

7. 9 × 4 × 3 =

8. has lines of symmetry.

9. 1 = %

10. The diameter of a circle is 14 cm. What is the radius?

11. 2 5 + 2 5 =

cm

12. (4 × 4) + 6 =

13. 5 × = 40

14. What are the chances of picking a red card from a

deck of 52 playing cards?

out of

The pictogram shows the types of transport that drove by

during 5 minutes. (Each symbol represents 5.)

Review sample

15. How many buses went by?

16. How many cars went by?

17. How many more cars than

lorries went by?

CARS

LORRIES

BUSES

BIKES

Week 20

18. 15 went by.

18. Draw the other 2 lines of symmetry

on the equilateral triangle.

19. 50 × 60 =

19. Which form of transport was there most of?

20. Which form of transport was there fewest of?

20. 10,000 – 11 =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 59


WEDNESDAY

THURSDAY

Week 20

1. Write 4.15 a.m. in 24-hour time.

hours

2. 1 3 + 1 3 =

3. (3 × 5) + 10 =

1. Write 21:05 in 12-hour time.

2. 7 2 =

3. Colour 1,500 m equally with 2 colours.

4. The radius of a circle is 8 cm. What is the diameter?

cm

5. 6 × 6 × 2 =

6. 35.3 – 15.2 =

7. Round 19.03 (nearest whole number).

8. Area = m 2 8 m

9. 55 + 45 =

4 m

10. Draw a dot on the angle < 90°.

11. Toss a coin. The chance it will land on a ‘head’ is

in .

12. 0.7 < 0.08 True False

13. 7 × = 49

14. Draw the 2 other lines of symmetry.

15. 4 496 =

16. This is a

17. Circle the equivalent fraction to 1 5 .

2

10

18. Colour as 0.05.

19. €50.00 – €18.75

= €

2

8

20. 165 – = 95

3

12

.

4. Circle the equivalent fraction to 1 4 .

1

8

5. (9 × 5) + 6 =

3

12

6. Round 19.36 (nearest whole number).

7. Draw another line of symmetry on the oval.

8. 12 2 =

9. 2 8 + 3 8 =

10. Mark as an isosceles triangle.

11. 7 4 7 = (improper fraction)

12. 48.5 – 12.4 =

13. 3 1 4 kg = g

14. Draw a 180° turn clockwise.

Review sample

15. Roll a dice. The chance it will land on an even number

is in .

16. Is symmetrical?

17. Simplify 15

18 .

18. 450 – = 310

19. Colour as 0.95.

20. €50.00 – €24.75

= €

2

6

60 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

0

FRIDAY REVIEW

Monday

1. Flip, slide or rotate the tetrominoes in A to fit B.

A

B

1. Write 7.05 p.m. in

24-hour time.

2. 0.6 > 0.08

hours

16. 2% = 0.

17. 3, 6, 12, 24,

18. Draw another line of

symmetry on the square.

Week 20

True

False

2. A litre of milk is €2.35. What is the change

from €5?


Tuesday

1. The angle at A = °

170

180

160

150

140

2. The angle at B = °

130

130

120

110

100

90

A

90

B

Wednesday

1. Liam delivered letters to 500 letter boxes. He

was paid €5 for every 25 letter boxes. What did

he earn for this delivery?


2. 100,000 , 99,990 , 100,010 ,

100,000 , 100,020 ,

80

70

60

50

50

40

30

20

10

3. 4 180 =

4. Draw a 180° turn

clockwise.

5. 1 3 + 1 3 =

6. 27.9 + 14.2 =

7. 8 2 = 8 ×

=

8. 4 10 = 0.

9. (5 × 6) + 8 =

10. What are the chances

of picking a 3, 5, 7 or 9

from a pack of 52 playing

cards?

out of

11. The diameter of a circle is

8 cm. What is the radius?

cm

12. Write one prime number

between 15 and 20.

13. 9 × 3 × 3 =

19. 6 × = 42

20. 4 3 6 = (improper fraction)

21. Liam is paid €5 for every

50 letter drops. If he

delivers 1,000 letters

how much will he earn?


22. The chance of landing on

a prime number is

9

7

23. 50 × 60

Review sample

=

in .

2

5

3

24. – 25 = 140

25. Colour 250 m in one

colour and 500 m in

another.

1.

2.

Thursday

4 1 2 hours later

4 1 2 hours before

14. 2 1 4 kg = g

15. Circle the equivalent

fraction to 4 8 .

1

12

4

10

2

4

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 61


MONDAY

TUESDAY

Week 21

1. Time? (24-hour)

2. Write the numeral five hundred

thousand and fifty.

3. 99,995 + 6 =

4. 1 2 of 80 =

5. 17 5 = (mixed number)

6. 4 1.2 =

7. A square has 2 4 6 lines of symmetry.

8. 27.31 + 12.64 =

9. (4 × 5) + 6 =

10. Colour 1 4.

11. 19 + 11 + 19 + 11 =

12. Roll a dice. The chance it will land on an odd number

is in .

13. Write these fractions from smallest to largest.

3

6

14. 4 × 80 × 25 =

1

3

, ,

15. Is 2 6 equivalent to 2 3 ?

16. 90 – = 45

17. This is a net of a

18. The area of a rectangle 6 cm by 3 cm

= cm 2

19. Children in an art class were the following ages.

Which age occurs most frequently?

5

6

.

1. Time? (24-hour)

2. 1 4 of 80 =

3. 99,997 + 4 =

4. 2 5 + 1 5 =

5. 950 + 350 =

6. Write the numeral one hundred thousand and ten.

7. Which is better value for money?

3 apples for 15c

4 apples for 24c

8. Draw a 180° turn clockwise.

9. This 2-D shape is a

10. Claire earns €17.20 per hour. How much will she

earn in 3 hours?


11. 0.3 × 9 =

12. 10 2 =

13. 6 × = 42

14. 25.6 – 12.1 =

15. Perimeter = cm

Review sample

2 cm

2 cm

4 cm

2 cm

2 cm

4 cm

16. 28 is a multiple of 4. True False

17. 8 6.4 =

18.

1

4 kg

19. Colour 4 10 .

1

4 kg

1

4 kg = g

.

14 12 15 14 13 15 14

20. A nine-sided shape is a .

20. Write these decimals from smallest to largest.

0.8 0.08 0.5

, ,

62 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Time? (24-hour)

2. 99,992 + 8 =

3. 0.6 × 7 =

4. 6 2 = × =

5. A rectangle has 2 4 6 lines of symmetry.

1. Time? (24-hour)

2. 99,995 + 9 =

3. The angle between the clock

hours 11 and 1 is

°.

4. 1 4 of 120 =

Week 21

6. 40 + 10 = 5 ×

7. 94.7 – 63.1 =

8. If the diameter of a circle is 2 cm, what is its radius?

9. 1 7 + 3 7 =

10.

cm

11. Colour an extra 3 m .

= m

12. Write these fractions from smallest to largest.

1

2

1

4

, ,

13. €20.25 + €2.40 + €5.05 = €

14. 48 + 12 + 12 + 48 =

15. Simplify 6 9 .

16. This is a net of a

17. 9 × = 27

6

8

.

5. (6 × 3) + 4 =

6. If the diameter of a circle is 5 cm, what is its radius?

7. 3 9 + 1 3 =

cm

8. 85.5 – 24.2 =

9. 29 + 31 + 29 + 31 =

10. Perimeter = m

11. Simplify 10

12. 11 2 =

15 .

13. Write the numeral one hundred thousand and three.

14. A 7-sided shape is a .

15. 5 × = 40

The bar chart shows sales of books for the first three

months of two consecutive years.

Number of Books

Review sample

300

250

200

150

100

50

0

Jan

Yr 1

Jan

Yr 2

Feb

Yr 1

3 m

Feb

Yr 2

4 m

5 m

Mar

Yr 1

1 m

16. How many books were sold in February Yr 1?

1 m

4 m

Mar

Yr 2

18. What are the missing factors of 24?

1, 2, , , 6, , 12 and 24

19. Area of a rectangle 7 cm × 3 cm. cm 2

20. The angle between the

clock hours 11 and 12 is

°.

17. 200 books were sold in January Yr 1. When else were

200 books sold?

18. How many more books were sold in January Yr 2

than January Yr 1?

19. When was the least amount of books sold?

20. Were more books sold in Yr 1 or Yr 2?

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 63


PROBLEM-SOLVING

FRIDAY REVIEW

Week 21

Monday

1. What is the value of 15 hundreds, 45 tens and

105 units?

2. 14 thousand = tens

1. Time? (24-hour)

14. Colour 7 10 .

15. Colour an extra 12 m .

Name

Tuesday

Game Points

W25A 298,509

Slamdunk 298,808

Lidlock5 296,990

1. Which gamer is closest to 300,000 points?

2. W25A scored an extra 2,000 points. What is his

new score?

Wednesday

1. Which value shows a decrease in savings?

+€100 €12 –€8

2. Evan bought headphones for €49. Evan had

€40 and his older brother Matt paid the extra

€9. Who is now –€9?

Use

or

= .

Thursday

1. A = 40 × 10 g B = 30 × 15 g

A

2. A = 5 kg B = 5 × 800 g

A

2. 1 4 of 100 =

3. Write the numeral one

hundred thousand and

eleven.

4. 34.25 + 23.71

=

5. 0.3 × 5 =

6. 39 + 21 + 49 + 31

=

7. Is 1 4 equivalent to 3 12 ?

8. 6 × = 24

9. 1 4 + 1 2 =

10. Perimeter = cm

4 cm

2 cm

2 cm

5 cm

3 cm

2 cm

11. Headphones at €35 were

bought by Evan. He had

€25 and Eva paid the extra

€10. Complete the table.

Shop

Evan

Eva

+€ –€

12. An equilateral triangle has

2 3 6

lines of symmetry.

13. 3 3 5 = (improper fraction)

16. 11 2 = 11 ×

=

17. 6 × = 36

18. (2 × 3) + 8 =

19. Simplify 10

12 .

20. 19 5 = (mixed number)

21. Colour 1 5 .

22. Roll a dice. The chance it

will land on a number less

than 3 is

23. 60 + 30 = 9 ×

in .

Review sample

B

B

24. Write these fractions from

smallest to largest.

1

2

4

5

, ,

3

12

25. Children in a drama class

were the following ages.

9 8 10 8

8 10 9

Which age occurs most

frequently?

64 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Time? (24-hour)

2. 99,992 + 9 =

3. Toss a coin.

The chance it will land on a ‘tail’

1. Time? (24-hour)

2. An equilateral triangle has

2 3 6 lines of symmetry.

Week 22

is in .

4. 1

100 = (decimal)

5. How many faces has a pentagonal prism?

6. 3 8 + 4 8 =

7. 1 3 of 90 =

8. Colour 3 4 of the grid.

9. 81.63 + 14.25 =

10. 7 × = 49

11. 0.8 × 5 =

12. (3 × 5) + 6 =

13. Perimeter = cm

14. The place value of the 7 in 24.7 is

tenths.

15. 8 ÷ = 2

hundredths.

16. Suzy earns €14.50 per hour. How much will she earn

in 4 hours?


17. This is a net of a

18. Complete the factors of 16.

1 16

2

4

19. Kelly has the following coins in her purse. Which coin

occurs most frequently?

3 cm

3 cm

5 cm

.

1 cm

2 cm

4 cm

3. 99,993 + 8 =

4. Write these fractions from largest to smallest.

1

2

2

8

, ,

5. 9 × = 36

6. Write the numeral one hundred thousand one

hundred.

7. 0.6 × 5 =

8. The diameter of a circle is 7 cm, so the radius

is

cm.

9. Area = m 2

10. The clock hand moved from

12 to 3. It rotated °.

11. 70 ÷ 10 = 7

70 ÷ 1 = 70

70 ÷ 0.1 =

12. 11 2 =

13. 4 × a = 40 + 40, therefore a =

14. How many faces has a

square-based pyramid?

Review sample

15. What shape is this?

16. 18 ÷ = 6

17. 2 3 of 90 =

18. + 20 = 140

19. 5 5.0 =

7 m

4 m

3

4

10c 5c 20c €1 50c 20c 20c

20. 8, 18, 13, 23, 18,

20. Colour 1 5 .

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 65


WEDNESDAY

THURSDAY

Week 22

1. Time? (24-hour)

2. 99,994 + 9 =

3. Diameter is 3 cm,

so the radius is cm.

1. Time? (24-hour)

2. 99,996 + 7 =

3. A regular pentagon has

2 5 10 lines of symmetry.

4. Roll a dice. The chance it will land on a number

higher than 4 is in .

5. 1 2 + 2 6 =

6. Simplify 12

15 .

7. Write the numeral one hundred thousand, one

hundred and ten.

8. 64.32 + 25.46 =

9. David has the following coins in his pocket. Which

coin occurs the most frequently?

€1 50c €2 50c 10c 2c

10. This is a net of a

11. Perimeter = cm

4 cm

.

2 cm

12. 16 + 34 + 26 + 44 =

13. 5 × = 50

14. 5

100 = (decimal)

15. 6 4.2 =

4 cm

2 cm

16. Round 760 to the nearest 100.

17. 20 ÷ = 2

18. The clock hand moved from

4 to 6. It rotated °.

19. 3 + 17 + 23 + 27 =

4 cm

20. Write these decimals from largest to smallest.

0.5 0.25 0.75

, ,

4. 2 3 of 60 =

5. 0.3 × 10 =

6. 1,000 – 150 – 150 =

7. Write these fractions from largest to smallest.

4

6

1

3

, ,

8. The place value of the 9 in 18.9 is

tenths.

9. 70 ÷ = 10

10. Draw a 90° turn clockwise.

hundredths.

11. Jeremy earns €16.40 per hour. How much will he

earn in 4 hours?


12. (9 × 5) + 5 =

13. 11 2 =

14. Which instrument would you use to measure a field?

trundle wheel ruler

Review sample

15. This angle is

acute.

16. 765 – 234 =

17. 30 + 80 = 50 +

18. Simplify 15

20 .

19. 40 ÷ 10 = 4

40 ÷ 1 = 40

40 ÷ 0.1 =

20. 11

12 – 2 12 =

obtuse.

8

9

66 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. 5 children counted out their coloured pencils.

What was the average?

1. Time? (24-hour)

16. The value of 4 in 15.4 is:

4

0.4

Week 22

8 24 11 7 15

17. 32 ÷ = 4

2. What is the value of 35 tens and 15 hundreds?

Tuesday

1. What is the value of each graduation?

2. Colour 3,200 m .

Wednesday

1. Liam has 10 coins in his pocket. 4 coins

are dated 2014, 3 coins 2013, 2 coins 2016

and 1 coin 2012. What chance has Liam of

pulling out a coin dated prior to 2014?

in

2. What chance has he of pulling out a 2016

coin?

1.

2.

in

Thursday

3 , 5 7 8

+ 6 , 4

1 0 , 4 2 1

1 , 5 5 7

– 1 1

1 , 3 7 6

2. What is the value of 27

tens and 27 hundreds?

3. 99,997 + 8

4.

=

5. 4 9 + 3 9 =

6. 70 + 80 = 50 ×

7. 24.25 + 12.71

=

8. 6 × 0.5 =

9. 4, 13, 31, 58,

10. 11

12 – 3 12 =

11. 7 × = 28

12. 2 3 of 60 =

13. 6 + 14 + 36 + 44

=

14. Round 683 to the nearest

100.

15. Perimeter = cm

5 cm

3 , 8 3

+ 7 , 2 9

1 1 , 2 0 2

6 cm

5 cm

18. Lucy has the following

coins in her purse.

Which coin occurs most

frequently?

€1 €2 20c

10c €2 1c

19. Area = m 2

8 m

20. Colour 1 4 .

3 m

21. Write these fractions

from largest to smallest.

1

5

7

10

, ,

22. 6

100 = (decimal)

23. 954 – 320 =

24. 90 ÷ 10 = 9

Review sample

90 ÷ 1 = 90

90 ÷ 0.1 =

25. The clock hand moved

from 3 to 6. It rotated

°.

1

2

3 cm

3 cm

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 67


MONDAY

TUESDAY

Week 23

1. Time? (24-hour)

2. 5 2 =

3. The angles in all triangles

add up to °.

4. 5 22.0 =

1. Time? (24-hour)

2. 7.5 cm = mm

3. 99,998 + 6 =

4. 12 + 8 + 32 + 8 =

5. 64 ÷ = 8

5. Square = lines of symmetry

6. 99,997 + 5 =

7. Colour 0.42.

8. 5 × 0.4 =

9. 2 5 + 4 10 =

10. 27 ÷ = 9

11. 3

100 = 0.

12. Simplify 18

21 .

13. Write these fractions from largest to smallest.

4

9

14. €50.00 – €9.45 = €

2

3

2

6

, , ,

15. Diameter is 9 cm, so the radius is cm.

16. 16.25 + 32.07 =

17. Which letter shape is not symmetrical?

A E F C

18. Perimeter = cm

3 cm 3 cm

3

6

6. Write the numeral six hundred and one thousand,

one hundred and ten.

7. 2, 3, 5, 8, 12, , 23

8. The clock hand from

9 to 12 rotates °.

9. 29 5 = (mixed number)

10. This is a net of a

11. Use or

A = 5 × 4 g

= .

12. The place value of the 5

in 16.5 is

tenths. hundredths.

13. Denis has the following coins in his pocket. Which

coin occurs the most frequently?

2c 5c 2c 10c €2 €1

14. Colour 2 4 6 =

15. This angle is likely to be

6

45°. 135°. 20°.

16. Sarah earns €120 per day. How much does she earn

in 5 days? €

1

4 kg

A

Review sample

.

3 cm 3 cm

3 cm

19. Area of a floor 4 m by 6 m = m 2

20. 1,000 – 250 – 150 =

17. (2 × 7) + 5 =

18. 526.5 – 402.3 =

19. 80 × 900 =

20. What is the place value of the 2 in 325,790?

68 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Time? (24-hour)

2. 99,994 + 7 =

3. 1,000 – 35 – 65 – 45 – 55

=

4. A regular pentagon

1. Time? (24-hour)

2. Diameter is 8 cm, so the radius

is cm.

3. Colour 2 5.

Week 23

has

lines of symmetry.

5. What are the chances of picking a spade from a deck

of 52 playing cards?

out of

6. The atlas was €29,

now it costs € .

7. 2 6 + 1 3 =

8. 12.63 + 24.91 =

9. 5 42.5 =

10. Megan earns €140 per day. How much does she earn

in 5 days? €

11. 8 × 0.5 =

12. Perimeter = m

13. 3 4 of 60 =

14. 1 2 > 1 3 True False

15. Colour 1 5.

16. What is the diameter of a circle if the radius is 14 cm?

cm

17. Write these fractions from smallest to largest.

3

4

7

8

1 m

1

2

3 m

50%

5 m

2 m

2 m

1

12

3 m

4. 3 × = 4 × 6

5. Write in ascending order.

0.1 0.9 0.01 0.09

6. 99,995 + 8 =

, , ,

7. 5 2 9 = (improper fraction)

8. Isosceles triangle = lines of symmetry

9. 11 2 =

10. Draw a 90° turn anticlockwise.

11. 4 5 of 100 =

12. 9

100 = 0.

13. Round 6,712 (nearest 100).

14. This is a net of a

The bar chart shows

rainfall for the last

three months of two

consecutive years.

Review sample

15. How much rain fell in November of Year 1?

16. Which month saw the lowest

rainfall?

17. Which month saw the highest

rainfall?

.

, , ,

18. The place value of the 5 in 16.25 is

tenths. hundredths.

19. 25 × 90 × 4 =

20. 20,000 – 9 =

18. Which dates had 4 cm of rain?

and

19. How much rain fell altogether in October?

20. Which year had the heaviest rainfall?

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 69


PROBLEM-SOLVING

FRIDAY REVIEW

Week 23

Monday

1. Celia had 4 times as many 50c coins as Jess.

Celia had €12. How many 50c coins did Jess

have?

1. Time? (24-hour)

14. Mark earns €130 per day.

How much does he earn

in 5 days? €

15. 3 × = 9 × 4

2. A strawberry farm had 7,200 plants in total.

One field had 18 rows of 200 plants; the other

field had 9 rows of

plants.

Tuesday

129 mm 139 mm A B

What is the measurement at

1. A? mm

2. B? mm

Wednesday

1. A chef prepared 36 pancakes to be shared

equally among 12 customers. Which number

sentence matches the number of pancakes per

customer?

36 – 12 = 24 36 ÷ 12 = 3

36 + 12 = 48 36 × 12 = 432

2. What are the outcomes of tossing 2 coins?

1.

H,H

8.00 p.m.

20th May

, , ,

2. The angles in a triangle

add up to 180°.

True False

3. Rectangle =

lines of symmetry

4. 36 ÷ = 6

5. Bronte had 5 times as

many 20c coins as Liz.

Bronte had €20 of 20c

coins. How many 20c

coins did Liz have?

6. Perimeter = cm

1 cm

3 cm

3 cm

1 cm

1 cm

1 cm

1 cm

3 cm

7. The place value of 8 in

22.58 is

tenths. hundredths.

8. 3 4 of 80 =

9. 0.8 × 4 =

10. Which angle is this likely

to be?

90° 120°

5° 45°

11. Colour 2 5.

16. Use or

= .

A = 5 × 125 g

3

4 kg

A

17. This is a

net of a

18. 25 × 80 × 4

=

19. Write these fractions

from smallest to largest.

3

9

2

3

20. 42.54 + 16.08

=

21. (4 × 5) + 10 =

22. 754.8 – 203.2

=

23. 8, 10, 13, 17,

24. Colour 2 2 3 =

5

6

, ,

Review sample

Thursday

hours later

1.30 a.m.

21st May

,

3

1

9

.

2. There is a Hidden Town and it’s halfway to

Dublin. What should the sign show?

Dublin 330 km

Hidden

Town

km

12. As a decimal, the coloured

section is 0. .

13. 3 5 + 2 10 =

25. The history book was

€32, now it costs

€ .

50%

HISTORY

70 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Time? (24-hour)

2. 99,994 + 7 =

3. 10

50 = 100

4. Angle A = °

10:35 (a.m.)

1. Time? (24-hour)

8:52 (p.m.)

2. The clock hand from

1 to 5 rotates °.

3. 2 5 of 60 =

4. 2.5 × 4 =

Week 24

60°

60°

5. Diameter is 5 cm, so the radius is cm.

6. 28,808 – 10 =

7. Place value of the 1 in 641,390

=

8. 5 × 0.6 =

9. 1 4 + 4 8 =

10. Write 10.30 p.m. in 24-hour time.

11. 10

100 = 0.

12. €50.00 – €31.45 = €

13. 12 2 =

14. 2 3 of 300 =

15. 9 + 11 + 29 + 31 =

hours

16. Round 1,770 (nearest hundred).

17. Use or

A

= . A = 8 × 250 g

A

2 kg

5. The place value of the 0 in 24.05 is

tenths. hundredths.

6. 99,995 + 8 =

7. 4 10 = 0.

8. 100,000 – 5 =

9. 4 × 9 × 3 =

10. Which letter is not symmetrical?

B G K T

11. 55 + 45 + 115 =

12. The number before 19,000 is .

13. 43,107 – 10 =

14. Is this a net of a cube?

15. Draw a 270° turn clockwise.

16. Angles A and B

are or = 90°?

Review sample

17. Write the numeral three hundred and three thousand

and thirty.

18. Perimeter = m

A

B

18. Write these fractions from smallest to largest.

1

2

6

10

1

5

2 m

2 m

4 m

, ,

19. 1,000 – 175 – 125 =

20. 24 7 = (mixed number)

1 m

19. 3 29.4 =

20. 5.02 + 10.96 =

6 m

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 71


WEDNESDAY

THURSDAY

Week 24

1. Time? (24-hour)

2:30 (a.m.)

2. Diameter is 7 cm, so the radius is cm.

3. 10,000 – 110 =

4. Mark earns €145 per day. How much does he earn in

5 days? €

1. Time? (24-hour)

12:20 (p.m.)

2. The number before 11,100 is .

3. Angle A = °

A

5. 9 ÷ = 3

6. 99,997 + 9 =

7. 11 × 0.9 =

8. Can a hexagon tessellate?

9. Round 1,904 to the nearest 100.

10. Which unit would you use to weigh an apple?

g kg

11. 7 × 100 = 700

7 × 99 =

7 × (100 – 1)

12. Write these fractions from largest to smallest.

2

3

1

6

13. 20, 14, 23, 17, 26,

3

9

, , ,

14. Write the numeral eight hundred and twelve

thousand, two hundred and ten.

15. 2 5 + 4 10 =

16. Colour 3 5 of the grid.

17. 4 32.8 =

18. 7 3 4 = (improper fraction)

19. What are the chances of picking an Ace from a deck

of 52 playing cards?

out of

20. Angle A = °

11

12

4. 3 × 3.2 =

50° 50°

5. 1,000 – 175 – 175 – 175 =

6. 99,999 + 3 =

7. 38,804 – 9 =

8. Write the numeral nine hundred and eleven

thousand, one hundred and ten.

9. 7 2 =

10. 1 4 kg = g

11. Simplify 18

24 .

12. €50.00 – €48.40 = €

13. 11

12 – 6 12 =

14. How many square metres of carpet would you need if

your classroom was 9 m by 8 m?

Review sample

45°

15. 8 2 =

m 2

16. 100, 81, 64, , 36

17. The place value of the 9 in 33.39 is

tenths. hundredths.

18. 24 ÷ = 4

19. What are the chances of picking a 10 out of a pack

of 52 playing cards?

out of

90° A

20. Perimeter of a hexagon, with each side 6 cm?

cm

72 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Packets of crisps were boxed.

How many packets in the

500 g box?

2. Write the values in ascending order.

5 × 100 5 × 0.1 5 × 10

, ,

Tuesday

1. Write the values in descending order.

70 ÷ 0.1 70 ÷ 10 70 × 1

, ,

2. What is the perimeter? cm

10 cm

8 cm

1. The headphones

were €290,

6 cm

Wednesday

now they cost € .

2. Use or

= .

A = 10 × 0.1 kg B = 10 × 100 g

A

Thursday

4 cm

1. The sum of 2 numbers is 15. Their product is

56. What are the 2 numbers?

and

2. The sum of 2 numbers is 13. Their product is 36.

What are the 2 numbers?

and

50%

B

500 g

20 g

1. Time? (24-hour)

12:50 (a.m.)

2. 40

50 = 100

hrs

3. Angle A = º

45°

A

4. 1 3 + 3 9 =

45°

5. The value of the 4 in

472,195

=

6. 1,000 – 175 – 175

=

7. Round 2,982 (nearest

hundred).

8. 11 × 0.8 =

9. 8 3 4 = (improper fraction)

10. €50.00 – €27.45

= €

11. Write these fractions

from smallest to largest.

3

8

1

2

12. 5 32.5 =

13. 3.5 × 4 =

1

4

, ,

14. 29 + 21 + 39 + 41

=

15. 72,104 – 10

=

,

1

12

16. The length of A is

5 m

m.

3 m 8 m

17. 70 + = 10 2

A

18. The value of 5 in 24.65 is:

0.5

0.05

19. Sarah earns €160 per

day. How much does she

earn in 5 days?


20. Draw the 4 diagonal lines

of symmetry.

21. 3 × 99

= 3 × ( – 1)

=

22. Use or

= .

A = 7 × 250 g

1

A 2 4

Review sample

kg

23. 43 9 = (mixed number)

24. Perimeter = m

3 m

4 m

3 m

6 m

3 m

4 m

25. A room is 8 m by 4 m.

How many square metres

of floor space?

m 2

Week 24

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 73


MONDAY

TUESDAY

Week 25

1. Time? (24-hour)

2. Angle A = °

3. 2 8 + 3 6 =

4. 3 4 of 12 =

5. 99,998 + 7 =

6. 6 × 0.7 =

7. Colour 72

100 .

8. 35,505 – 9 =

9. The clock hand from

8:20 (a.m.)

3 to 7 rotates °.

10. 1% = 0.

11. 3 67.2 =

12. Simplify 9 12 .

13. How many lines of symmetry?

14. 7

100 = 0.

15. Perimeter = cm

4 cm

16. This book was €10, now it costs € .

1001011010100101010101001001011101011010111

01010101010101001001000110110101010010100

1001000100011001011010100101010101001001

0111010110101110101010101010100100100011011

0101010010100100100010001100101101010010

1010101001001011101011010111010101010101010

50%

5 cm

30°

2 cm

1 cm

A

70°

3 cm

1. Time? (24-hour)

2. 64 ÷ = 8

3. Luke earns €125 per day. How much does he earn in

5 days? €

4. Round 9,384 (nearest thousand).

5. Draw a 270° turn anticlockwise.

6. 100 – 25 – 25 – 25 =

7. Diameter is 6 cm, so the radius is cm.

8. 15

100 = 0.

9. This is a net of a

10. Write in descending order.

0.15 15 1.05 1.5

, , ,

11. The place value of the 8 in 24.85 is

tenths. hundredths.

12. 50% of = 9

13. 2 3 of 9 =

14. 10 × 40 = 400

10 × 4 = 40

10 × 0.4 =

15. This book was €50, now it costs € .

16. Angle A = °

40°

10:15 (p.m.)

The pie chart shows pets owned by 5th Class pupils.

.

50%

Review sample

1 cm

A

70°

HOW

to

a

BUILD

DRONE

0100100011011010101001010010010001000110

0101101010010101010100100101110101101011101

01010101010100100100011011010101001010010

01000100011001011010100101010101001001011

1010110101110101010101010100100100011011010

1010010100100100010001100101101010010101

0101001001011101011010111010101010101010010

0100011011010101001010010010001000110010

11010100101010101001001011101011010111010101

17. What 2-D shape would you see in

the cross-section?

18. (10 × 4) + 8 =

19. 50% of = 20

20. 17 × 25 × 4 =

dogs

fish

cats

17. 5 pupils own dogs. How many own cats?

18. How many own fish?

19. How many own dogs and fish?

20. How many pets altogether?

74 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. Time? (24-hour)

2. 2 4 + 3 10 =

12:05 (a.m.)

3. The value of the abacus is .

1. Time? (24-hour)

12:10 (p.m.)

2. How many degrees is this angle likely to be?

90° 135°

18° 45°

Week 25

3. 50

100 = %

4. Simplify 4 8 .

5. 99,999 + 5 =

6. 29,909 – 10 =

7. (8 × 5) + 8 =

8. What is the diameter of a circle, if the radius is 3.5 cm?

9. 6 20 =

40

10. 3% = 0.

cm

11. Colour 1,800 m .

12. 10,000 – 350 – 450 =

13. 6 70.2 =

14. 12

100 = 0.

15. 0, 11, 23, 36, 50,

16. What type of triangle is this?

isosceles equilateral scalene

17. 50% of = 50

18. 24.06 + 53.92 =

19. The book was €80,

now it costs € .

20. Round 338,960 (nearest thousand).

4. Write the number before 12,000.

5. 99,997 + 9 =

6. 1 3 + 4 12 =

7. Round 9,035 to the nearest 1,000.

8. 1 2 < 1 5 True False

9. 80 ÷ = 10

10. This triangle is

scalene.

isosceles.

11. Write the numeral four hundred and forty thousand

and four.

12. Parallelogram = lines

of symmetry

13. 12.93 + 25.24 =

14. Draw the vertical and horizontal lines of symmetry.

Review sample

25%

15. Half of 90 = 5 × a, therefore a =

16. 12 2 =

17. Diameter is 8 cm, so the radius is cm.

18. 50% of = 7

19. €50.00 – €30.80 = €

20. The value of the abacus is .

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 75


PROBLEM-SOLVING

FRIDAY REVIEW

Week 25

10 m

Scale 10 m

Monday

Fruit Tree Park

Key

1. What is the perimeter of the paving?

m

2. What is the area of the swings and

climbing towers? m 2

Tuesday

= apple tree

= pear tree

= lawn

= paving

= swing

= climbing

tower

1. If there are 12 apple trees for each 100 m 2 ,

how many apple trees are in the park?

2. A lawnmowing contractor charges €2 per

10 m 2 . How much will it cost to cut all the

grassed area?


Wednesday

1. A contractor charges €2 for every 10 m length

to trim the lawn edges. What is the total price

for the edges to be cut?


2. What is the chance of

randomly selecting a King?

in

1

4

1

4

1

kg 4 kg

1

kg 2 kg

Thursday

1. Which weight will balance the scales?

1 kg 1 1 4 kg 1 1 2 kg

2. What will be the total weight on the scales

when it is balanced?

kg

1. Time? (24-hour)

12:05 (a.m.)

hrs

2. Angle A = º

A

90°

45°

3. 5, 11, 18, 26,

4. Simplify 8 16 .

5. 3 6 + 3 12 =

6. Round 25,010 to the

nearest 100.

7. (5 × 6) + 8 =

8. 50% of = 8

9. €50.00 – €20.80

= €

10. Jessica earns €155 per

day. How much does she

earn in 5 days?


11. The difference between

2 numbers is 2. Their

product is 80. The

numbers are

and .

12. The value of the abacus is

13. 4% = 0.

14. 9 2 =

15. The book

was €15,

now it costs

€ .

.

16. 1 2 < 1 4

True

False

17. Name this shape.

18. The clock hand rotates

19. 24.06 + 15.28

=

° from 9 to 1.

20. Draw the 2 lines of

symmetry.

21. Half of 70 = 5 ×

22. 10 × 0.7 =

23. What 2-D shape can you

see in the cross-section?

Review sample

50%

at

dogs

fish

cats

hamsters

24. 6 pupils own cats. How

many own hamsters?

25. How many pets

altogether?

76 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Time? (24-hour)

2. 6 × 9 × 2 =

3. 0.1 = %

4. 35 = 1 2 of

11:10 (p.m.)

1. Time? (24-hour)

2. Angle A = °

5:20 (a.m.)

A

Week 26

5. Diameter = 9 cm, Radius = cm

60°

60°

6. 10 × 170 =

7. A tetrahedron has faces.

8. Draw a 180° turn clockwise.

9. 5, 10, 30, 120,

10. 5 23.5 =

11. Write the number after 9,999.

12. How many vertices has a triangular prism?

13. If you picked one of these letters out of a hat, what

are the chances of picking an E?

out of

R E E Y R C

14. (7 × 5) + 10 =

15. Which prime number is also the only even prime

number?

The pie chart shows the eye colours of 5th Class pupils.

blue

green

brown

grey

3. 0.01 = %

4. 10,005 – 8 =

5. 0.4 + 0.04 =

6. Round 75,152 to the nearest 1,000.

7. 3 5 of 20 =

8. (18 ÷ 2) + 1 =

9. 25% of 20 =

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

11. 24 ÷ = 6

12. 7 10 = 0.

13. The value of 20 coins and 20 coins.


14. The book was €49, now it

costs € .

15. 1 4 = %

16. Colour 4 5 .

50%

HISTORY

Review sample

16. 6 pupils have green eyes.

How many pupils have blue eyes?

17. How many pupils have blue eyes

and green eyes?

18. How many pupils have brown eyes?

19. How many pupils have grey eyes?

20. How many more pupils have

brown eyes than green eyes?

17. Is symmetrical?

18. 16.85 + 12.92 =

19. Which temperature is coldest?

0 °C –3 °C 1 °C

20. Four pizza halves are whole pizzas.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 77


WEDNESDAY

THURSDAY

Week 26

1. Time? (24-hour)

2. (14 ÷ 2) + 3 =

3. 25% of 100 =

4. 10,007 – 9 =

12:35 (a.m.)

1. Time? (24-hour)

2. 0.7 + 0.07 =

12:10 (p.m.)

3. Round 17,563 to the nearest 1,000.

5. The sum of 10 coins and 10 coins

= €

6. 2,900 × 10 =

7. 29 = 1 2 of

8. You need to order new carpet for your classroom,

which measures 8 m by 7 m. How much carpet?

m 2

9. 3 4 = %

10. 0.9 + 0.09 =

11. 12 ÷ = 6

12. Perimeter = m

4 m

2 m

2 m

5 m

13. Suzy earns €180 per day. How much does she earn in

5 days?


14. The number after 150,999 is .

15. 4 82.8 =

16. Which letter is symmetrical?

3 m

F G E N

17. How many degrees? °

2 m

4. (9 ÷ 3) + 3 =

5. 4 10 of 70 =

6. 3 4 = 0.

7. 10,002 – 9 =

8. 400 ÷ 40 =

9. 17 4 = (mixed number)

10. 25% of 40 =

11. 0.04 > 0.4 True False

12. 4 10 = 0.

13. The place value of the 9 in 28.039 is

hundredths.

14. 4 4 7 = (improper fraction)

thousandths.

15. What is the place value of the 0 in 210,144?

16. 47 × 25 × 4 =

17. 1 4 km + 1 2 km = m

18. Angle A = °

Review sample

55°

70°

19. Six pizza halves are whole pizzas.

A

18. The value of the 3 in 24.035 is

0.003 0.03

20. If you stack triangles flat on top of one another, what

3-D shape will you make?

19. Four 3 4 pizza pieces are whole pizzas.

20. 9.65 – 3.24 =

78 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. A strawberry farm had 8,400 plants in total.

There were 7 rows of 600 plants and 14

rows of

plants.

2. What is the value of 15 ten thousands, 20

thousands and 15 hundreds?

Tuesday

Race times for two 60-m sprinters.

What is the time difference between

1. A to B? – seconds

2. B to A? + seconds

Wednesday

Race times for two 60-m sprinters.

What is the time difference between

1. A to B? + seconds

2. B to A? – seconds

Thursday

1. The difference between 2 numbers is 3. Their

product is 54. The numbers are

2. Draw Row 4.

and .

Row 1

1. Time? (24-hour)

12:50 (a.m.)

2. (9 × 7) + 7 =

3. 4 10 of 90 =

4. Draw a 180º turn

anticlockwise.

5. Write in descending

order.

hrs

0.13 0.02 0.3 0.05

6. 0.5 + 0.05 =

, ,

,

7. Write the number before

100,000.

8. 0.02 = %

9. 9,008 – 9

=

10. Angle A = º

60°

60° A

11. Balance the scales.

A = 3 5 kg

B =

A

A

A

A

g

B

13. 0.09 > 0.1

True

14. (24 ÷ 4) + 4 =

15. The value of 15

coins and 15


16. 0.09 + 0.9 =

17. 25% of 80 =

False

18. 32 ÷ = 8

coins.

19. The place value of the 5

in 14.025 is

hundredths.

20. Colour 3 5.

thousandths.

21. How many degrees?

º

22. If you stack pentagons

flat on top of each other,

what 3-D shape will they

make?

Review sample

23. If you have 4 red marbles

and 5 blue marbles in a

jar, what are the chances

of picking a red marble?

out of

24. Eight pizza halves are

Week 26

Row 2

Row 3

12. Which temperature is

coldest?

–4 °C 0 °C

2 °C –3 °C

equal to

pizzas.

whole

25. What 3-D shape has 1

flat face and 1 curved

surface?

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 79


MONDAY

TUESDAY

Week 27

1. The average of these numbers is .

8 9 7 8

2. (10 ÷ 2) + 6 =

3. Write in ascending order.

3 0.3 30 0.03

, , ,

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

cm

5. 0.12 = %

6. 20% of 50 =

7. 42 + 28 + 32 + 38 =

4 cm

8. Ben earns €140 per day. How much does he earn in

10 days?


9. 0.2 + 0.05 =

10. 500 ÷ 50 =

11. 12,101 – 9 =

12. Simplify 4 12 .

13. What 2-D shape can you see in

the cross-section?

14. 56.29 – 42.07 =

15. 77

10 = (mixed number)

1. The average of these numbers is .

3 4 5 2 6

2. Round 96,520 to the nearest 1,000.

3. 71, 51, 81, 61, 91,

4. 1,000 – 10 – 90 – 100 =

5. The number after 199,999 is .

6. 24% = 0.

7. 42 ÷ = 7

8. 4 A 7 B D 9 H are placed in a hat. What are the

chances of picking a letter from the hat?

9. Colour 40%.

10. Simplify 3 12 .

out of

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

cm

12. 0.4 + 0.07 =

13. 4.5 × 5 =

14. 2 3 – 1 3 =

15. 60 × 80 =

16. 60 × 800 =

Review sample

3 cm

17. Write the prime numbers between 10 and 20.

, , and

16. 3 4 =

12

17. Which is warmest?

0 °C –2 °C 1 °C

18. Colour 2 3 8 .

18. Six pizza thirds are whole pizzas.

19. The sum of the angles in a triangle is °.

20. 950 + 950 =

19. 67.54 – 23.23 =

20. Which is better value for money?

6 apples for 48c 5 apples for 45c

80 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. The average of these numbers is .

7 4 5 6 3

2. What is the diameter of this circle? cm

6 cm

6 cm

1. The average of these numbers is .

12 10 8 9 11

2. Round 9,997 (nearest hundred).

3. (45 ÷ 5) + 2 =

Week 27

3. 99,993 + 8 =

4. 7,200 × 10 =

5. Round 105,220 to the nearest 1,000.

6. (21 ÷ 3) + 4 =

7. 5 6 of 36 =

8. 6 + 0.4 + 0.02 =

9. Simplify 9 12 .

10. 85.75 – 14.23 =

11. Colour 60%.

12. 9 4 A Z 2 7 B are placed in a hat. What are the

chances of picking a number from the hat?

13. 3 4 =

16

14. 8 2 =

15. 3 4 – 1 4 =

out of

16. What is the clock hand

angle from 1 to 2? °

17. 10 2 =

18. Ten pizza fifths are whole pizzas.

19. The abacus =

4. 20% of 10 =

5. Mary earns €155 per day. How much does she earn

in 10 days?


6. The place value of the 8 in 23.458 is

hundredths.

7. 3 8 of 40 =

8. 95.64 – 72.41 =

9. 4 × 47 × 25 =

10. 6.2 × 3 =

11. 24 ÷ 8 = 12 ÷

12. 0.04 × 8 =

13. 9 10 – 4 10 =

14. Colour 0.4.

15. Is this angle

obtuse?

reflex?

thousandths.

16. Write six hundredths as a decimal.

17. The clock hand from 7 to 11 rotates °.

Review sample

18. 90 ÷ = 9

19. 0.8 + 0.4 =

20. €10.50 + €5.40 + €6.05 = €

20. 2 3 =

15

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 81


PROBLEM-SOLVING

FRIDAY REVIEW

Week 27

5

4

3

2

1

0

Monday

1 2 3 4 5

1. What is the coloured area?

square units

2. What is the coloured perimeter?

units

Tuesday

1. Sam delivered 1,500 letters. His rate was €5 for

every 150 letters. What did he earn?


2. Balance the scales.

A = 1 1 4 kg B = g

A

A

A

A

B

Wednesday

1. Dee downloaded 480 MB of photos. Each photo

was 3 MB. How many photos were there?

2. The sum of 2 numbers is 15. The product of the

same numbers is 56. What are the 2 numbers?

1.

21st April

07:00

and

Thursday

12 hours later

2. What is the value of 12 hundreds, 20 tens and

15 units?

24 HReview

1. The average of these

numbers is

.

2 4 3 5 1

2. (9 ÷ 3) + 9 =

3. 20% of 100 =

4. Jack earns €125 per day.

How much does he earn

in 10 days?


5. 5 6 of 24 =

6. Write in ascending order.

5 0.05 10 0.1

7. 7 + 0.3 + 0.09

=

8. 3,600 × 10

=

9. 6 2 =

, ,

10. Balance the scales.

,

A = 350 g

B =

A

A

A

A

kg

11. Nine pizza thirds are how

many pizzas?

12. What is the value of 15

hundreds and 30 tens?

13. The angles in a triangle

add up to how many

degrees?

B

14. Round 104,950 to the

nearest 1,000.

15. 63 ÷ = 7

16. 90,007 – 9

=

17. 43

10 = (mixed number)

18. Which is better value for

money?

8 apples for €4

6 apples for €2.40

19. The place value of the 0

in 23.502 is

tenths.

20. 3.5 × 5 =

hundredths.

thousandths.

21. 400 ÷ 40 =

22. Colour 0.3.

23. The chance of landing on

a prime number is

11

12

13

24. 4 5 – 1 5 =

in .

3 9

7

5

2

25. What is the perimeter of

the square?

sample

cm

6 cm

º

82 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. The average of these numbers is .

8 10 5 15 12

2. 99,998 + 8 =

3. Angle A = °

1. The average of these numbers is .

19 22 18 20 21

2. Colour 4 5 .

Week 28

45°

3. 5% = 0.

4. Colour 70%.

5. 3 4 of 40 =

6. 6 × 0.05 =

A 45°

7. Write the numeral nine hundred and nine thousand,

nine hundred and ninety-nine.

8. 15 fifths of pizza pieces are whole pizzas.

9. 72 + 48 =

10. Round 7,483 (nearest thousand).

11. 33,903 – 9 =

12. 90 × 100 = 9,000

90 × 99 =

90 × (100 – 1)

13. The numbers 1 to 21 are in a lotto drum. What are

the chances of you picking an even number?

out of

14. 32 ÷ 4 = 16 ÷

15. 3.52 × 5 =

16. 4 5 – 2 5 =

17. This is a net of a

.

4. The sum of 6 coins and 18 coins is

€ .

5. Product of 0.3 and 6 =

6. What is the length of side A? cm

7. 88.42 – 60.24 =

5 cm

A

8. If a tin of paint covers 28 m 2 of wall, how many

square metres are left to cover on a wall 8 m by 4 m?

9. 4 5 – 2 10 =

m 2

10. 49 ÷ = 7

11. Simplify 9 12 .

12. Write 20 hundredths as a decimal.

13. How many faces has a triangular prism?

14. Write as a number sentence.

4 rows of 8 chairs per row. How many chairs

altogether?

Review sample

15. 4 × 9 × 3 =

16. €50.00 – €30.25 = €

17. 10% of 100 =

18. Steven earns €140 per day. How much does he earn

in 10 days?

=

18. (36 ÷ 6) + 6 =

19. 10% of 50 =

20. 8% = (decimal)


19. 3, 6, 10, 15,

20. 7,500 + 8,500 =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 83


WEDNESDAY

THURSDAY

Week 28

1. The average of these numbers is .

8 7 10 9 6

2. 26,404 – 7 =

3. 2.55 × 3 =

4. 100 ÷ 10 = 80 ÷

5. 10,000 – 750 =

6. Sum of 0.8 and 4.1 =

7. 30 ÷ 10 = 3

30 ÷ 1 = 30

30 ÷ 0.1 =

8. 2 3 – 2 6 =

9. Write the numeral nine hundred and ninety thousand

and ninety.

10. (12 ÷ 3) – 2 =

11. 81 ÷ = 9

12. €50.00 – €23.75 = €

13. Colour 60%.

14. 99 9 = (whole number)

15. 10,000 + 25,500 =

The pie chart shows the hair colour of 5th Class pupils.

black

red

blonde

brown

16. 7 pupils have black hair. How many pupils have red

hair?

1. The average of these numbers is .

10 13 12 9 11

2. 99,995 + 6 =

3. This angle is likely to be

65°. 45°.

5°. 175°.

4. 39,907 – 8 =

5. 2 3 > 1 2 True False

6. Write the numeral nine hundred and nine thousand

and nine.

7. The angles in an equilateral triangle add up to

°.

8. 2,500 – 1,250 =

9. 0.3 + 0.06 =

10. How many wholes do nine thirds make?

11. 1 4 = %

12. 100

100 = (whole number)

13. Round 38,501 to the nearest 1,000.

14. (45 ÷ 9) + 7 =

15. Write the number after 189,899.

Review sample

16. 10% of 10 =

17. The place value of the 9 in 48.953 is

17. How many pupils have red hair or blonde hair?

tenths. hundredths. thousandths.

18. 3 4 kg = g

18. How many pupils have brown hair?

19. How many more pupils have brown hair than black

hair?

19. 3 × 80 =

20. 17:30 = a.m./p.m.

20. How many pupils altogether?

84 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

3 m

d

4 m

c

3 m

Monday

1. The length of a = m

e

b

a

Use:

b = e

c + d = b

a = b + e

2. What is the perimeter? m

Tuesday

1. Mila has saved 10 times more than Hugo. Mila

has €80. What has Hugo saved?


2. What is the radius of the circle? cm

8 cm

8 cm

Wednesday

1. A cyclist completed 10 laps of a 4.5 km circuit.

What was the distance in metres?

2.

8 4 6

– 2 4

5 6 2

m

Thursday

1. The 5th row will be × ,

× and × .

1st row

2nd row

3rd row

4th row

2. Old Town is a quarter of the way to Cork. What

should the distance be on the sign?

km

1. The average of these

numbers is

.

12 9 11 13 10

2. A cyclist completed 10

laps of a 6.5 km circuit.

What was the distance in

metres?

m

3. Angle A = º

A

90°

45°

4. This angle is likely to be

10°. 90°.

100°. 275°.

5. If a tin of paint can cover

20 m 2 , how many tins are

needed to cover a fence

50 m × 2 m?

6. 27,202 – 8

=

7. 5 fifths of pizza pieces

are how many pizzas?

8. The 5th row will have

9. 5 × 800

=

1st row

s.

2nd row

10. 76.84 – 23.56

=

3rd row

11. 2 3 > 2 9

True

12. 3 5 – 4 10 =

13. 3 4 of 40 =

14. (60 ÷ 6) + 10

=

15. 10% of 20 =

False

16. 64 ÷ = 8

17. 21:50 hours

= a.m./p.m.

18. Jenny earns €145 per

day. How much does she

earn in 10 days?


19. 7, 11, 19, 23, 31,

20. The angles in an isosceles

triangle add up to

º.

21. Write as a number

sentence.

6 rows of 7 chairs. How

many chairs altogether?

=

22. Colour 40%.

Review sample

Cork 420 km

Old

Town

km

23. The sum of 0.8 and 2.3

= .

24. €50.00 – €15.75

= €

25. The place value of the 0

in 24.075 is

tenths.

hundredths.

thousandths.

Week 28

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 85


MONDAY

TUESDAY

Week 29

1. The average of these numbers is .

5 3 4 2 6

2. Area = cm 2 2 cm

3. 7 × 0.03 =

2 cm

2 cm

1 cm

4 cm

4. What is the perimeter of a square with 7-cm sides?

cm

5. 99,992 + 9 =

6. Write the numeral nine hundred thousand and nine.

7. 3 × 3 × 3 =

8. 25 – 9 =

3 cm

9. The angles in a scalene triangle add up to

°.

10. 4.25 × 3 =

11. Write as a number sentence.

40 apples packed in 8 bags. How many in each bag?

12. 85.29 – 61.57 =

13. The place value of the 7 in 63.751 is

14. 6 2 =

tenths. hundredths. thousandths.

15. 3 4 of 1 m = cm

16. 5% of 100 =

17. This is a net of a

=

1. The average of these numbers is .

6 12 10 8 14

2. Four three-quarter pieces of cake are

whole cakes.

3. Radius = 5.2 cm, Diameter = cm

4. 0.05 + 0.4 =

5. 1 2 – 2 8 =

6. 3.25 × 4 =

7. 99

100 = (decimal)

8. If a tin of paint covers 20 m 2 , how many tins are

needed for a fence 50 m long and 2 m high?

9. Colour 80%.

10. 5% of 20 =

11. Abacus =

12. €20.00 – €12.40 = €

13. (80 ÷ 10) – 4 =

14. 880 – 440 =

15. 3 4 = %

16. 81,005 – 7 =

Review sample

17. 596 × 10 =

18. 7 25 =

100

18. Round 145,990 to the nearest 1,000.

.

19. The sum of 20 coins and 20 coins.


19. (27 ÷ 9) + 2 =

20. Is this a regular or irregular polygon?

20. This shape is a

.

86 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. The average of these numbers is .

5 6 3 7 9

2. 0.7 + 0.02 =

3. 5 6 – 1 3 =

4.

2

= 90 – 9

5. (100 ÷ 10) – 5 =

6. 9 p.m. = 09:00 hours 21:00 hours

7. The book was €40,

now it costs € .

8. Area = cm 2

9. Simplify 10

12 .

3 cm

1 cm

1 cm

5 cm

4 cm

10. Write as a number sentence.

6 bowls of ice cream, each with 3 scoops. How many

scoops in total?

11. The place value of the 0 in 25.806 is

tenths. hundredths. thousandths.

=

2 cm

12. Round 19,910 (nearest thousand).

13. 11 2 =

14. 1,350 + 620 =

15. 82,101 – 8 =

16. Colour 20%.

25%

17. Round 7,236 (nearest hundred).

1. The average of these numbers is .

8 9 7 6 10

2. Approximately how many degrees? °

135

90

45

180 0

3. Draw a 270° turn anticlockwise.

4. 99,996 + 7 =

5. 0.01 + 0.4 =

6. 3 4 of 80 =

7. Colour 49

100 on the grid.

8. Eight three-quarter pieces of cake are

whole cakes.

9. What 2-D shape has 9 sides?

10. 9 12 – 1 2 =

11. The value of 5 coins and 15 coins.

Review sample


12. 45% of 100 =

13. 25,000 × 10 =

14. 29 × 4 × 25 =

15. (32 ÷ 4) – 2 =

Week 29

18. 8 10 =

100

19. What is the next prime number after 5?

20. The angles in this hexagon are

acute. obtuse.

16. 14:15 hours = a.m./p.m.

17. 28,505 – 9 =

18. 7 + 8 + 6 =

19. 2 × 2 × 2 =

20. Which unit would you use to measure a pen?

cm m

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 87


PROBLEM-SOLVING

FRIDAY REVIEW

Week 29

Monday

1. Draw 3 4 of this square’s perimeter.

2. Mia removed two parts of

this square. What fraction

of the perimeter is missing?

2

4

2

6

2

8

2

10

Tuesday

1. Cheese costs €2.50 for 200 g. What is the cost

of 500 g?


2. A florist arranged 2 roses for every 3 tulips in a

vase. How many tulips were there if there were

30 flowers?

1.

Wednesday

3:45 p.m. 4 1 2 hours later :

2. Which is the correct total weight?

800 g 1,000 g

1,250 g 4,100 g

3,800 g 2,050 g

1. The average of these

numbers is .

6 9 12 3 0

2. What is the perimeter of a

square with 6-cm sides?

3. 99,999 + 7

=

cm

4. Mia removed 2 parts

of this rectangle. What

fraction of the perimeter

is missing?

5. Use 4, 5, 8 and 9 to make

17 across and down.

6. 0.9 + 0.03 + 2

=

7. 4.25 × 4 =

8. 2,500 – 1,150

=

9. The place value of the 5 in

29.045 is

tenths.

hundredths.

thousandths.

10. 5% of 60 =

11. 3 4 km = m

12. (24 ÷ 3) – 2 =

13. 500 × 8

=

14. Area = cm 2

3 cm

2 cm

2 cm

6 cm

2 cm

15. 39 × 4 × 25

=

16. 9 12 – 3 6 =

2 cm

2 cm

3 cm

17. Approximately how

many degrees?

90° 45°

110° 240°

18. 80 + 10.02

=

19. Draw an irregular

pentagon.

20. 7 p.m. is 07:00 hours

19:00 hours

21. Draw a 270° turn

anticlockwise.

22. 6,940 × 10

Review sample

Thursday

1. Draw a line through the rectangle to make a

quadrilateral and a triangle.

2. Use 4, 5, 6 and 9 to make 15 across and down.

=

23. Colour 70%.

24. The book

was €20,

now it costs

€ .

20%

25. Six thirds of a cake is how

many cakes?

88 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. The average of these numbers is .

1 2 3 0 4

2. 0.08 + 0.5 =

3. This is a net of a

1. The average of these numbers is .

20 10 15 30 5

2. 100,000 + 342,000 =

3. 2.75 × 4 =

Week 30

.

4. 5 × 12 × 200 =

4. 99,995 + 9 =

5. 16 apple quarters are whole apples.

6.

7. 10,000 – 3,500 =

8. 3 6 – 3 12 =

9. What 2-D shape can you see

in the cross-section?

10. 5.75 × 3 =

11. 10% of 70 =

12. 76.52 – 21.36 =

13. The place value of the 7 in 65.724 is

14. 7 × 0.3 =

tenths. hundredths. thousandths.

15. €50.00 – €29.00 = €

16. 2 × 2 × 3 =

€ Quantity Value

50 10

20 25

17. A floor is 5 m by 6 m. How many square metres of

tiles are needed to cover it?

m 2

Total €

18. Which letter is symmetrical?

J N Z V

5. 3 10 of 100 =

6. 0.2 = %

7. 4 kg + 3,000 g = kg

8. Kieran had €3 in coins. How many coins in

total?

9. Draw a 270° turn clockwise.

10. 8 10 – 2 5 =

11. 10% of 90 =

12. 1.2 × 5 =

13. Which angle is obtuse? a b

a

14. Write as a number sentence and solve it.

Add 60 apples to 70 apples.

15. €50.00 – €27.25 = €

Review sample

16. How many fifths in a whole?

17. 16,000 – 8,500 =

18. Simplify 6 9 .

19. Tick which shape’s angles add up to 180°.

b

=

19. Write the problem as a number sentence and solve it.

Kate has 35 stickers. She gives 7 to Tim.

20. 77 9 =

=

20. Area = m 2

1 m

7 m

10 m

2 m

3 m

3 m

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 89


WEDNESDAY

THURSDAY

Week 30

1. The average of these numbers is .

50 0 150 200 100

2. Write the number before 19,000.

3. Area = m 2

2 m

2 m

2 m

2 m

4 m

1. The average of these numbers is .

8 4 7 9 12

2. A tetrahedron has vertices.

3. 30 × 50 =

4. 5 × 9 × 200 =

5. 1,500 – 900 =

4. Write as a number sentence and solve it.

Jane shared 90 sweets among six people.

5. 6.45 × 2 =

6. 2 5 =

20

7. 98.25 – 23.61 =

8. The place value of the 8 in 36.008 is

tenths. hundredths. thousandths.

9. Which letter is not symmetrical?

Z A T K

10. 75% of 40 =

11. (25 ÷ 5) – 3 =

12. This angle is likely to be

13. Colour 3 10 .

80°. 90°. 60°. 100°.

14. Write the decimal eight tenths.

15. €50.00 – €31.00 = €

4 m

16. Which shape is a pentagon?

=

6. The value of the abacus is .

7. Write as a number sentence and solve it. Mike runs

100 metres 5 times. How far does he run altogether?

m = m

8. Write the number before 100,010.

9. 5 9 of 18 =

10. Use or

= .

1 kg

300 g

500 g

11. Eight pizza quarters make whole pizzas.

12. 3 4 – 3 8 =

13. 8.25 × 4 =

14. Circle the net that will make a cube.

Review sample

15. Simplify 5 20 .

17. Write 10.30 p.m. in 24-hour time.

hours

18. 15,000 – 4,500 =

19. How many degrees has a right angle? °

20. Write 2 a.m. in 24-hour time.

hours

16. €50.00 – €37.50 = €

17. 900 + 80 + 9 + 1,000 =

18. 3 × 3 × 3 =

19. 75% of 80 =

20. Share €90.00 among 6 people, where one receives

€30.00, and the others 5 equal amounts.

The others will receive € .

90 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

1. Colour 25%.

2. Colour 75%.

Monday

Tuesday

1. Balance the scales using 30 kg and 10 kg

weights.

A

2. Draw the other half

of this image.

B

Wednesday

1. Which tetromino has symmetry?

= 25 kg

= 30 kg

= 10 kg

2. An electric car travels 50 km on half an hour of

charge. How many kilometres is possible with

6 1 2 hours of charge?

km

1. What is the

size of the angle?

°

Thursday

2. Complete the pattern.

Line of symmetry

2 5 3 6 4 7

14 9 15 10 16 11

1. The average of these

numbers is .

16 4 8 12 0

2. 0.5 + 0.02 + 3

=

3. Write the number before

99,000.

4. This is a net of a

5. 50 × 40

=

6. 5

100 = 0.

7. Eight apple quarters are

how many apples?

8. What is the size of the

angle?

120 °

°

9. 5 × 0.03 =

10. 2 × 3 × 4 =

11. 4 6 – 1 3 =

12. 5.45 – 1.3 =

13. How many edges has a

square-based pyramid?

20 °

.

14. Draw a 90° turn clockwise.

15. 12,000 – 6,500

=

16. Write as a number

sentence and solve it.

Add 70 apples to 80

apples.

=

17. 79.28 – 52.63

=

18. 10% of 90 =

19. 4 9 of 27 =

20. 63 – 8 = + 40

21. Draw the other half.

Line of symmetry

22. 75% of 60 =

23. 36 × 5 × 200

Review sample

120 °

30 °

=

24. The value of the abacus is

25. A triangular prism

consists of 2 triangles

and

.

rectangles.

Week 30

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 91


MONDAY

TUESDAY

Week 31

1. 3 4 – 1 2 =

2. 2 1 4 km = m

3. Draw a 90° turn clockwise.

1. 7 8 – 1 4 =

2. Colour 60%.

3. 89.63 – 54.25 =

4. 0.02 + 0.04 =

5. 500 × 9 =

6. 6.432 + 1.203 + 2.264 =

7. 10 2 > 110 True False

8. 399,965 – 7 =

9. 73.85 – 21.42 =

10. Which is nearest to 90,000?

89,850 90,050 89,975

11. Write the numeral one hundred and ten thousand

and ten.

12. Share 36 apples among 6 boys.

13. 10% of €20 = €

14. Is this octagon regular or irregular?

15. 20% = 1 4 True False

16. What is the total value of 5 × €50, 5 × €20 and

5 × €10?


17. Area = cm 2

18. 5 × 0.8 =

19. A cube has vertices.

20. Complete the multiples of 6 from 60.

=

4. 999,997 + 4 =

5. 631,304 – 5 =

6. 1 5 + 3 5 =

7. Write the sum of €150 and €250 as a number

sentence.

€ € = €

8. Write the numeral one hundred and eleven thousand.

9. Draw a 90° turn clockwise.

A

10. What are the chances of picking a King or Jack from

a pack of 52 playing cards?

out of

11. 40 × 10 = 400

40 × 1 = 40

40 × 0.1 =

12. 1 4 of 80 =

13. Round 24.02 to the nearest whole number.

14. An equilateral triangle has equal sides.

Review sample

8 cm

5 cm

15. Which is symmetrical?

P N D

16. 12 a.m. = 00:00 hours 12:00 hours

17. 7 2 = (mixed number)

18. 1,550 + 350 =

19. Write the prime numbers


WEDNESDAY

THURSDAY

1. 6 10 – 2 5 =

2. 10% of €50.00 = €

3. The number before 100,100 is .

4. 32 5 = (improper fraction)

5. What shape is this?

6. 6.75 × 2 =

7. 20,000 – 7 =

8. If you stacked this shape, it would make a

prism.

9.

12

= 3 4

10. 7, 12, 9, 14, 11,

pyramid.

11. 4.032 + 4.635 + 8.232 =

12. Factors of 24.

1 2 3 4

24

13. Joseph has 500 football stickers. He gives 75 to Adam.

14. 7 10 of 90 =

15. 60 × 70 =

16. Draw another net for a cube.

=

1. 4 6 – 1 3 =

2. 99,973 + 7 =

3. Area = m 2

4. 0.8 + 0.01 =

5. 199,005 – 8 =

6. There are 20 chocolates per box. There are 6 boxes.

How many chocolates altogether?

7. The number after 1,399,999 is .

8. 11 2 =

9. 5.105 + 10.621 + 5.273 =

10. 10% of €80.00 = €

11. 1 2 < 1 4 True False

12. Colour 40°.

13. 90 × 100 = 9,000

90 × 10 = 900

90 × 0.1 =

14. 250 × 5 =

15. What 3-D shape has 2 triangles and 3 rectangles?

The timetable shows daily flights from Dublin to London.

Flight ZZ01 ZZ02 ZZ03 ZZ04

Depart Dublin 06:30 11:15 16:00 21:45

Arrive London 07:45 12:30 17:15 23:00

Review sample

16. How long does each flight take to complete the

journey?

1 m

=

6 m

2 m

1 m

5 m

Week 31

17. 15:20 hours = a.m./p.m.

18. Round 17,380 (nearest hundred).

19. The angles in an isosceles triangle are

acute.

right.

20. Which unit would you use to measure the distance

from Dublin to Cork?

m

km

17. Which flight takes off at 11.15 a.m.?

18. Which flight lands at 11 p.m.?

19. You need to be in London by 6 p.m.

Which flight should you take?

20. You need to be in London by 12 noon.

Will ZZ02 get you there in time?

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 93


PROBLEM-SOLVING

FRIDAY REVIEW

Week 31

Monday

1. Area = cm 2

2 cm

10 cm

14 cm

2 cm

4 cm

4 cm

1. 6 9 – 2 6 =

2. 4.75 × 3 =

3. Match the lines of

symmetry.

vertical

13. Area = cm 2

2 cm

3 cm

2 cm

3 cm 3 cm

1 cm

1 cm

9 cm

14. Perimeter = cm

15. 10% of €60

2. Perimeter = cm

1.

Tuesday

2. What is the perimeter of the rectangle?

cm

3 cm

3 cm

Wednesday

1. French cheese costs €3.50 per 250 g. What is

the cost of 3 4 kg?


12th April

20:30

2. What is the perimeter of the rectangle?

cm

4 cm

12 hours later

4 cm

4 cm

24 HR

horizontal

4. 0.9 + 2 + 0.01

=

5. 5 3 4 km = m

6. 998 × 3 =

7. 1 2 > 1 5

True

False

8. 2.103 + 3.522 + 4.274

=

9. Each radius is 2 cm.

What is the perimeter of

the square?

10. 2 3 of 27 =

cm

11. Match the angles.

= €

16. 70 × 800 =

17. Cheese costs €4.50 per

200 g. What is the cost of

4

5 kg?


18. 10 × 1,700

=

19. Draw a 90° turn

anticlockwise.

A

20. The value of the 7 in

714,323

=

21. The area of a wall 5 m by

2 m is

m 2 .

22. What is the total area of

the walls in a four-wall

room when each wall is

5 m by 2 m?

Review sample

Thursday

obtuse =

m 2

1. A florist arranged a vase with 3 roses for every

tulip. How many tulips were there if there were

32 flowers?

acute =

a

b

23. 12 p.m. =

00:00 hours

12:00 hours

2. 35 tens, 150 units and 25 hundreds is equal to

.

12. 20 × 0.1 =

24. 4 × 0.07 =

25. 32 × 25 × 4

=

94 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. 20% of €50 = €

2. 2.54 × 3 =

3. Colour 80%.

1. 50% of €50.00 = €

2. 999,993 + 8 =

3. 224 + 16 + 16 + 34 =

4. 3.92 × 3 =

Week 32

4. 999,992 + 9 =

5. Jeans cost €30. There is 10% off. The new price is

€ .

6. 189,001 – 7 =

7. Write the numeral one million.

8. 8 10 – 2 5 =

9. 5.45 × 2 =

10. 10% of €100 = €

11. 5 6.005 =

12. €100.00 – €20.50 = €

13. 3 4 of 36 =

14. 3 4 + 2 4 = 5 4 = (mixed number)

15. 43

100 = %

16. 3.00 × 0.03 =

17. Draw a 180° turn anticlockwise.

18. odd + even =

19. 0.07 + 0.2 =

20. What is the diameter and side length of the square?

5. 10 300 =

6. 268,808 – 10 =

7. Write the numeral one million one hundred.

8. Draw a 270° turn clockwise.

9. What 3-D shape has 4 triangles?

10. even + even =

11. €100.00 – €40.50 = €

12. 3 4 =

12

13. Which set has multiples of 3 and 4?

9, 12, 16 8, 12, 16

12, 24, 36 18, 24, 36

14. 5.402 + 6.253 + 7.314 =

15. Write in ascending order.

7 0.07 70 0.7

, , ,

Review sample

16. 4 5 of 40 =

17. 5% =

100

18. Simon has 48 toy cars. He gives 5 to Ahmed. How

many does Simon have left?

cm

=

2.5 cm

19. 4 5 + 4 5 =

5 =

20. Perimeter of a rectangular building 50 m by 45 m

= m

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 95


WEDNESDAY

THURSDAY

Week 32

1. 10% of €50 = €

2. If you ride your bike for a quarter of an hour and

travel 4 km, how far will you ride in 2 hours?

km

1. 5% of €50 = €

2. Draw a net of a triangular prism.

3. An isosceles triangle has equal sides.

4. 2 3 + 2 3 = =

5. even – odd =

6. 4.85 × 4 =

7. The number after 1,001,999 is .

8. €100.00 – €80.50 = €

9. Stacey has €12, John has €15 and Karen has €18.

How much altogether? Write as a number sentence.

€ € €

= €

10. This is a .

11. Area = m 2

12. 18 5 = (mixed number)

13. What is the value of

3 × €50, 3 × €20, 3 × €10 and 3 × €2?


14. 100,000 + 695,475 =

3 m

This timetable shows daily trains from Waterford to Dublin.

3 m

Train Departs Waterford Arrives Dublin

A 08:00 11:05

B 10:25 13:30

C 15:00 18:10

D 19:30 22:35

15. How long does Train A take?

1 m

9 m

16. Which train takes 3 hours 10 minutes?

17. Which train leaves Waterford at 3 p.m.?

18. Which train arrives in Dublin at 1.30 p.m.?

19. You need to be in Dublin by 3.30 p.m.

Which train should you take?

20. You need to be in Dublin by 5.30 p.m.

Does Train C get you there on time?

6 m

2 m

3. The number before 1,010,000 =

4. 3 4 of 48 =

5. 999,996 + 7 =

6. 63 ÷ 9 = 70 ÷

7. 32 = × 4

8. Jumpers cost €40. There is 25% off.

The new price is € .

9. 2 3 of 27 =

10. Write in descending order.

11. 9 12 – 3 6 =

12. Colour 4 10 .

13. 10 450 =

30 0.3 3.3 0.03

14. What shape is this?

, , ,

Review sample

15. There are 6 apples in each bag. There are 10 bags.

How many apples altogether?

16. 5 × 7 × 200 =

17. 1 4 + 3 6 =

18. 995,000 + 100,000 =

19. 15,000 – 6,500 =

20. What is the place value of the 8 in 7.8?

=

96 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. A flight from Dublin to Paris, one way, cost

€150. The return flight cost an additional €250.

What was the total cost of Dublin Paris

Dublin for a family of 4?


2. Sam baked 3 cakes with a total of 16 corners.

What 2-D shapes could there have been?

1. 20% of €60

= €

2. 5th Class has 32 pupils.

How many like funny

books?

5th Class

Favourite Book Genres

14. If you bought 2 of milk

at 90c per 500 m , how

much would it cost?


15. 3.412 + 2.035 + 1.432

=

16. 63

100 = %

Week 32

1. Draw the 6th row.

Tuesday

1st row

2nd row

3rd row

4th row

2. An Olympic swimmer completed a 5-km

morning session in a 50-m pool. How many

laps in total?

Wednesday

1. A group of 200 pupils were surveyed.

How many preferred spring?

2. How many liked summer and

winter?

Thursday

1. Hugo shone his torch in the dark to see what

time it was. Write the time in 24-hour format.

hours

5th Class

Favourite Seasons

spring

summer

winter

3. 990,000 + 100,000

=

4. Colour 60%.

5. 3 4 + 3 4 =

6. 70 × 90 =

7. 15,000 – 9,500

=

8. 9 10 – 1 5 =

9. 10 400 =

10. Which set has multiples

of 4 and 6?

12, 16, 18

12, 18, 24

12, 24, 36

12, 16, 28

11. The place value of the 3 in

2.3

=

12. 100 = 50 ×

Comedy Fantasy

Science

17. Write the numeral one

million, one hundred and

one.

18. 5 × 9 × 200 =

19. Write in ascending order.

9 0.09 0.9 0.19

20. 4.25 × 5 =

21. This is a

, ,

22. Area = m 2

3 m

9 m

,

12 m

3 m

3 m

6 m

23. Perimeter = m

Review sample

24. Draw a 90° turn

clockwise.

25. 29 6 = (mixed number)

.

2. What 4 coins can be used to make €2.90?

, , and

13. There are 15 sweets

in a packet. There are

5 packets. How many

sweets altogether?

=

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 97


MONDAY

TUESDAY

Week 33

1. +3, +2, , 0, –1, , –3

2. 999,997 + 5 =

3. 4 4 9 = (improper fraction)

4. Parvati has 12 books and Linda has 8 books. How

many altogether?

=

1. +6, +4, , 0, , –4, –6

2. 8 2 =

3. 1.1 × 5 =

4. 999,998 + 6 =

5. What 3-D shape has 4 triangles and 1 square?

5. 10,000 – 8 =

6. Round 18,042 (nearest hundred).

7. 9 × (70 + 30) =

8. A pair of shoes costs €40. There is 50% off. What is

the new price?


9. 10 500 =

10. 1 4 km = m

11. 12 × 60 =

12. 10,000 – 1,500 =

13. Draw a 270° turn anticlockwise.

14. Colour 2 5 .

15. The angles in a scalene triangle add up to

16. 800 × 8 =

°.

17. Area = m 2

1 m

6 m

6 m

1 m 1 m

2 m

3 m

2 m

1 m

1 m

6. Write the numeral one million, one hundred

thousand and ten.

7. 1 3 =

9

8. The place value of the 8 in 2.8 =

9. (80 + 20) × 17 =

10. 5,250 + 4,250 =

11. 10 650 =

12. 2.023 + 3.314 + 4.562 =

13. From 2 to 4 o’clock, the hand rotated

30°. 60°. 90°.

14. Is 720 divisible by 9?

15. This right angle has degrees.

Review sample

16. How many lines of symmetry has a square?

18. Perimeter = m

19. 17 7 cm = (mixed number)

20. 1,000,000 + 1,205,000 =

17. The number after 1,299,999 is .

18. 2 3 of 300 =

19. odd + odd =

20. 00:59 hours = a.m./p.m.

98 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. +15, +10, +5, , –5, , –15

2. 3 4 + 2 4 + 3 4 =

4 =

3. 40 × 8 =

4. 9 10 – 3 10 =

1. +12, , +4, , –4, , –12

2. The place value of the 6 in 2.36 is

.

3. Draw the lines of symmetry.

Week 33

5. There are 75 baked beans. Mum shares them equally

among 3 plates. How many baked beans are on each

plate?

6. 0.01 × 1.0 =

7. 109,909 – 10 =

8. The guitar was €600. There is 25% off.

It is now € .

9. Which scales would you use to weigh a dog?

kitchen scales

10. 4,350,100 + 1,000,000 =

11. 9 2 =

12. Draw a net of a triangular prism.

13. Colour 2,400 m .

14. 0.5 + 0.04 + 2 =

15. 600 × 7 =

=

bathroom scales

16. Which is coldest?

0 °C 2 °C –5 °C

17. Tick the larger number. 14,010 14,100

18. Write the composite numbers between 11 and 20.

, , , ,

and

19. 12,000 – 3,500 =

20. This angle has degrees.

4. 10.205 + 10.341 + 10.442 =

5. 4 5 – 1 5 =

6. 14:30 hours = a.m. p.m.

7. Colour 60%.

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

thousand and ten.

9. There are 8 vases. There are 5 flowers in each vase.

How many flowers altogether?

10. This is a hedron.

11. Simplify 10

12 .

12. Which is the same value as 7,000 g?

70% of 10 g

70% of 10 kg

70% of 1 kg

13. 0.09 + 3 + 0.2 =

14. Draw A turned 180° clockwise.

Review sample

15. 3 4 of 36 =

A

16. Tick the smaller number. 35,210 35,201

17. Round 67,051 to the nearest 100.

18. (15 ÷ 3) + 5 =

19. (20 ÷ 4) – 2 =

20. Write as a number sentence.

200 apples, 50 bags of apples, 4 apples in a bag.

How many altogether?

=

=

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 99


PROBLEM-SOLVING

FRIDAY REVIEW

Week 33

Monday

1. What is the cost of flour at 60c per 500 g if you

buy 3 kg?


2. Row A has 20 seats. Each

row after has 20 more.

What is the seating capacity?

1. +6, +4, , 0, –2,

2. 8 10 – 2 10 =

, –6

3. 0.1 × 0.01 =

4. The place value of the 2 in

4.12 is

18. How many degrees has a

right angle?

19. Which is the top view?

º

Tuesday

1. Colour in 3 colours to show

2,400 m in equal capacity.

2. A class survey had nine boys,

each weighing 30 kg. A tenth boy

was added bringing the class total to

310 kg. What was the weight of the tenth boy?

kg

Wednesday

What do the apples weigh?

7

6

8

5

A

1. A = . kg

2. B = . kg

Thursday

Which is the top view?

1.

2.

0

kg

4

1

3

2

7

6

8

5

B

0

kg

4

1

3

2

5. Double 850.

6. A jacket costs €50. There is

50% off. The new price is

€ .

7. 3 4 + 1 4 + 3 4 =

8. 104,902 – 10

100 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class

=

9. 10 550 =

10. This angle has

degrees.

4

11. Which is the coldest?

3 °C –3 °C

0 °C 5 °C

12. Area = m 2

4 m

2 m

2 m

6 m

10 m

2 m

2 m

4 m

13. Perimeter = m

14. Halve 1,350.

15. 9,250 + 3,250

=

16. 0.9 + 0.03 + 6

=

17. If you bought 3,000 g

of walnuts at €1.00 per

100 g, the cost was

€ .

.

20. 2.341 + 2.106 + 2.452

=

21. 500 × 9

=

22. Write the numeral one

million, one thousand and

ten.

23. Draw the arrow to show

3,600 g.

Review sample

7

6

8

5

0

kg

24. 8 × (80 + 20)

=

25. 20:05 hours

= a.m./p.m.

4

1

3

2


MONDAY

TUESDAY

1. 25% of €100 = €

2. Write the numeral one million, one hundred and

eleven thousand, one hundred and eleven.

3. If coffee costs €2.00 per 100 g, how much will 1 kg

cost?


4. 10 2 =

5. 999,993 + 7 =

6. 1,000,000 + 1,175,000 =

7. 909,090 – 8 =

8. +12, +6, , –6,

9. This is a .

10. Sarah has 90 coins and Joshua has 45 coins.

How many altogether?

11. 20% of €20 = €

12. €100.00 – €17.50 = €

13. What is the radius of a circle if the diameter is 5 cm?

cm

14. Sum of 1,250 and 650 =

15. 278 + 22 + 38 + 32 =

16. 2 3 + 2 3 + 1 3 = =

17. This is an .

18. The hat was €30, now it costs € .

=

1. 25% of €20 = €

2. 505,050 – 7 =

3. How many 50c coins make up €10.00?

4. 2 1 3 < 1 1 3 True False

5. 999,995 + 8 =

6. 25, 50, 75,

7. 10 350 =

8. Draw a net of a triangular pyramid.

9. What are the chances of picking an even number

between 1 and 11?

out of

10. 2.022 + 4.513 + 2.453 =

11. If cheese costs €1.50 per 100 g, 2 kg will cost

€ .

12. 20% of €40.00 = €

13. €100.00 – €27.50 = €

14. Draw a 270° turn clockwise.

15. What is the radius of each circle?

Review sample

cm

6 cm

16. Round 2.37 (nearest whole number).

Week 34

10%

17. (24 ÷ 3) – 2 =

18. 6 7.206 =

19. Circle the symmetrical letter shape.

b N Q r E F

19. Halve 98 =

20. Round 157,034 to the nearest 1,000.

20. Double 38.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 101


WEDNESDAY

THURSDAY

Week 34

1. 25% of €80 = €

2. 999,997 + 9 =

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

hundred and nine.

4. 1 5 > 1 4 True False

1. 25% of €60 = €

2. 999,999 + 3 =

3. Area = 32 cm 2

Side a =

cm

4. Write the numeral one million, one hundred and one

thousand and five.

a

4 cm

5. 202,025 – 10 =

6. 100,000 + 955,000 =

7. +21, , +7, 0, , –14, –21

8. This shape is a

9. Which temperature is the coldest?

0 °C 4 °C –2 °C –7 °C 8 °C

10. Side A = cm

2.5 cm

11. What is the square’s perimeter? cm

12. The value of the abacus is .

13. 17,000 – 8,500 =

14. Louise ran 200 m three times. How far did she run

altogether?

m = m

15. 350 , 700 , 1,400 ,

16. Area = m 2

17. Perimeter = m

18. What is the probability of picking an odd-numbered

house in a street with houses numbered from 1 to 37?

out of

A

.

5. 3 5 =

20

6. 202,202 – 9 =

7. How many 50c coins make up €8.00?

8. 6 × 0 =

9. 20% of 80 =

10. Which is the same weight as 2,000 g?

10% of 2 kg

50% of 4 kg

10% of 200 g

11. The place value of the 3 in 12.032 =

12. +8, +6, , +2, 0, , –4, , –8

13. 5 1 4 < 19 4 True False

14. Simplify 9 12 .

15. 10 2 =

The pie chart shows favourite sports of 5th Class pupils.

Review sample

3 m

3 m

2 m

7 m

4 m

1 m

tennis

football

16. 24 children were surveyed.

How many liked tennis?

cricket

rugby

17. The least popular sport was .

18. How many children liked rugby?

19. How many more children liked rugby than football?

19. The book was €25, now it costs

€ .

20. 3 4 km = m

20%

20. How many more children liked football than cricket?

102 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Complete the patterns.

1.

2.

1

1

6

2

Monday

Tuesday

1. Draw a shape to show 3 4 of this square’s

perimeter.

2. Liam removed 2 parts of the

square. What fraction of the

perimeter is missing?

1

2

20

5

1

56

14

3

2

4

2

12

Wednesday

1. A cube has a corner cut away. What 2-D shape

is shown?

2. What 3-D shape is the

offcut?

Thursday

10

12

1. How many dried-out black markers did the

boys find?

2. Girls find?

9

8

2

22

21

5

52

13

13

3

30

8

17

5

1. 25% of €40

= €

2. 61,044 – 7

=

3. 400 , 900 , 1,400 ,

1,900 ,

4. 3 12 + 4 12 + 3 12 =

12

5. If chocolate costs €1.50

per 100 g, how much will

1 kg cost?


6. Circle the symmetrical

letter shape.

B G F

7. 5 100.5 =

8. +9, , +3, 0,

, –6, –9

9. Order the temperatures.

coldest

–3 °C 0 °C +3 °C

–5 °C +2 °C

10. 10 450 =

11. (42 ÷ 6) – 3 =

12. 20,000 – 8,500

=

13. How many 50c coins

make up €10.00?

14. This is a

warmest

.

15. Which is the same weight

as 4,000 g?

16. 9 × 0 =

10% of 4 kg

50% of 6 kg

100% of 4 kg

17. 2,375,000 + 1,000,000

=

18. 1 5 > 1 3 True False

19. 3 1 4 > 11 4 True False

20. 3.524 + 1.031 + 4.243

=

21. The abacus

=

22. Stacey ran 800 m four

times. How far did she

run altogether?

m

= m

The pie chart shows favourite

colours of 5th Class pupils.

yellow

Review sample

5th Class

Dried-out Markers Found in Pencil Cases

16

14

12

10

8

6

4

2

0

Blue Red Black Green Yellow

boy

girl

red

blue

23. 36 pupils were surveyed.

How many liked blue?

24. How many pupils liked

red and yellow?

25. How many pupils liked

yellow?

Week 34

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 103


MONDAY

TUESDAY

Week 35

1. 1 4 + 4 8 =

2. Write the numeral one million, one hundred and

eleven thousand, one hundred and eleven.

3. Toss a coin. The chance it will land on a ‘tail’ is

in .

4. 4.01 > 4.10 True False

5. 999,998 + 7 =

6. 0.02 + 0.5 + 3 =

7. 414,144 – 5 =

8. 14:52 hours = a.m. p.m.

9. Old price €80. Now it costs € .

50%

10. How many vertices on a pentagonal

pyramid?

11. 51.245 + 20.631 =

12.

2

= 25

13. Area = 36 m 2

Side c =

m

14. What is the perimeter of

this shape?

15. +30, +20, , 0, , –20, –30

16. 8 9.608 =

17. There are 10 vases, with 8 flowers in each. How

many flowers altogether?

m

18. Write in descending order.

0.03 5 0.09 2

=

, , ,

9 m

c

1. 2 6 + 3 9 =

2. Round 7.12 (nearest whole number).

3. 30% of €60.00 = €

4. 0.4 × 1.0 =

5. 999,999 + 5 =

6. 3 4 of 40 =

7. 515,105 – 10 =

8. Colour 80%.

9. 11 2 =

10. Draw a 270° turn anticlockwise.

11. 14,000 – 5,500 =

12. 15 9 – 7 9 =

13.

Coin

14. 5 × 16 × 200 =

15. 135° 45°

10° 180°

Number of

coins

The table shows film times at the cinema.

Film Show 1 Show 2 Show 3

Tree House 14:25 17:10 19:55

Spysrus 13:55 16:50 20:10

Wizards 14:15 17:50 20:25

16. Are all the times a.m. or p.m.?

17. What time does the latest show

start (in 12-hour time)?

18. What time does the earliest

show start (in 12-hour time)?

19. Which film starts at 5.10 p.m.?

Value

20c 6 €1.20

50c

Total €5.20

Review sample

19. Colour 40%.

20. Which film starts at 8.25 p.m.?

20. 72 ÷ 6 =

104 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. 3 6 + 3 12 =

2. 30% of €90.00 = €

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

thousand and eleven.

4. Colour 3 4 .

1. 2 5 + 4 10 =

2. 899,901 – 8 =

3. 21.704 + 34.963 =

4. If you gave 50c to 25 children, it is

€ in total.

Week 35

5. How many vertices on a triangular prism?

6. 217,117 – 9 =

7. 11 × 12 =

8. Abacus =

9. 6.002 < 6.020 True False

10. 7 × 6 = 1 2 of

11. The cost of 3 kg of cheese at €0.90 per 100 g.


12. The clock hand rotated from 4 to 6

is °.

13. 94.864 – 31.421 =

14. 10 460 =

15. €100.00 – €26.50 = €

16. Draw a net of a

square-based pyramid.

17. 4,106 × 10

=

5. 999,997 + 9 =

6. Draw all the lines of symmetry.

7. 12 2 =

8. 2 5 of 100 =

9. 6,904 × 10 =

10. 11 132 =

11. +7.5, , +2.5, , –2.5, , –7.5

12. 69 + 31 + 69 + 31 =

13. Area = m 2

14. Perimeter = m

15. If you ride your bike 12 km in 3 4 of an hour, how far

will you cycle in one hour?

km

16. €100.00 – €36.50 = €

17. Jack has 32 buckets. Jill has 18. How many buckets

altogether?

18. 56 ÷ = 7

19. Abacus =

=

6 m 1 m

Review sample

1 m

8 m

3 m

1 m

3 m

1 m

18. 2 × = 18

20. Write in ascending order.

19. The perimeter of

the square is cm.

20. 6 8 + 7 8 + 4 8 = =

r = 4.5 cm

1

4

1

2

1

3

, , ,

2

3

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 105


PROBLEM-SOLVING

FRIDAY REVIEW

Week 35

1. Colour 2,500 m .

Monday

2. What capacity is left in

the container?

m

1. 1 5 + 4 10 =

2. Write the numeral one

million, one hundred and

ten thousand and ten.

3. 8,305 × 10 =

13. 4 5 of 50 =

14. +18, +12, , 0,

–6, , –18

15. Mark as an

equilateral

triangle.

1. What size is angle b?

°

Tuesday

2. What is the angle rotation

from 12 to 5?

5° 25°

150° 180°

Wednesday

1. Bronagh read 120 pages of the 300-page

book, ‘101 Homework Excuses’ in 2 hours. If

she reads at the same rate, how long will it

take her to finish the book?

hours

2. Amy read 450 pages of a book in 5 hours. What

is her average number of pages read per hour?

Thursday

1. Join the dots to draw 2 cubes.

4. Complete.

Coin

Number

of coins

Value

20c 15 €3

50c

5. 20% of €80.00

6.

= €

9 = 1 3

Total €8.50

7. 21:30 hours =

a.m. p.m.

8. Old price €120, now

€ .

9. 324,113 – 9

=

10. Draw a net of a

tetrahedron.

25%

16. Round 7.92 (nearest

whole number).

17. Draw a cut

line to show

how to make

2 triangular

prisms.

18. Sam had 26 pies. He gave

12 to Colin. How many

pies has Sam got left?

=

19. 69.285 – 21.042

=

20. 3 12 + 1 12 + 3 12 =

21. If Bruno has a total of

€4.80 in his pocket, of

which €1.80 is in 20c

coins and the balance is

in 50c coins, how many

coins altogether?

Review sample

22. 54 ÷ = 6

23. Area = 21 m 2 , therefore

2. Join the dots to draw a 4-cube L-shape.

11. Colour 3 5 .

a =

m

a

7 m

Perimeter =

m

24. 8 × = 72

12. 26.092 + 51.346

=

25. The place value of the 3

in 2.43 is

.

106 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. 8 10 – 2 5 =

2. 8

100 = 0.

3. 5 + 0.3 + 0.08 =

4. 17 3 = (mixed number)

5. 808,088 – 9 =

6. What is the probability of rolling a 6 on a dice?

out of

7. The book was €45, now it costs € .

8. 1 4 kg = g

10%

A

TALL

STORY

9. How many edges has a tetrahedron?

10. (10 × 20c) + (5 × 50c) = €

11. The place value of the 0 in 2.05 is .

12. 1, 4, 9, 16,

13. What is this shape?

14. Mark the temperature –2 °C on the

thermometer.

15. 12 180 =

16. 63.015 + 24.948

=

17. Draw a net of a triangular pyramid.

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

1. 6 9 – 2 6 =

2. What is the number before 1,190,900?

3. 70

100 = %

4. Double 89.

5. 999,997 + 7 =

6. Simplify 21

24 .

7. 997,991 – 4 =

8. Draw a 90° turn clockwise.

e

9. Can hexagons tessellate?

10. There are 45 bones. If the bones are shared equally

among 9 dogs, how many bones will each dog have?

11. Colour to show 1,250 m .

12. 11 176 =

13. 1.2 < 1.99 True False

14. Colour 52%.

15. 800 ÷ 100 = 8

800 ÷ 10 = 80

Review sample

800 ÷ 1 = 800

800 ÷ 0.1 =

16. €100.00 – €87.50 = €

17. 100,000 × 10 =

=

Week 36

18. 7 × 100 = 700

7 × 99 =

19. 74.548 – 52.307 =

20. 50% of €70.00 = €

18. 1,000 , 1,225 , 1,450 ,

19. Tess earns €140 per day. How much will she earn in

5 days?


20. 50 + 70 + 90 =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 107


WEDNESDAY

THURSDAY

Week 36

1. 9

12 – 1 4 =

2. 3 4 =

12

3. Mark the temperature –4 °C on

the thermometer.

4. 25

100 = %

5. This is a net of a

6. 1 4 = m

7. Draw a 90° turn anticlockwise.

8. Share €80.00 among 5 people.

€ each

9. 50 + 49 + 41 + 48 + 42 =

10. Colour 20%.

11. Halve 230.

12. 15.634 + 82.309 =

13. 63.916 – 42.534 =

14. 50% of 32 =

15. 16,000 – 7,500 =

16. If you rode your bike for 15 minutes and travelled

9 km, how far will you travel in one hour?

km

17. 200,000 × 10 =

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

.

1. 3 4 – 2 4 =

2. What is this shape?

3. 70% of 1 km = m

4. 4 2.048 =

5. 1 > 5 10 > 0.49 True False

6. Conor has €250. He gives €85 to Mary.

How much does Conor have left?

€ € = €

7. 999,909 – 10 =

8. 45,000 × 10 =

9. 999,998 + 5 =

10. 0.2 × 5 =

11. 60 × 70 =

12. Mark the temperature +2 °C

on the thermometer.

13. 8,000 – 3,300 =

14. What is the chance of rolling an

even number with a dice?

in

The bar chart shows snowfall at a ski resort for the first 3

months of 2 consecutive years.

12 cm

9 cm

6 cm

3 cm

Review sample

0 cm

Jan

Yr 1

Jan

Yr 2

Feb

Yr 1

15. How much snow fell in

February, Year 2?

Feb

Yr 2

16. Which month saw the lowest snowfall?

17. Which month had 6 cm of snowfall?

Mar

Yr 1

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

Mar

Yr 2

cm

18. 5 2 9 = (improper fraction)

19. (7 × 20c) + (6 × 50c) = €

20. 5 1 5 > 24 5 True False

18. Which two dates had 9 cm of snowfall?

, Yr and , Yr

19. How much snow fell altogether

in January?

20. Which year had the most snow?

cm

108 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

A

4

3

2

1

3

3

Monday

B

1

3

C

2 3

3 3

3 3

3 5

1. Which 2 spinners have the same chance of

landing on a 3?

A and B A and C B and C

2. Which spinner has the best chance of landing

on a 1?

Number of Children

12

10

8

6

4

2

0

3

3

Tuesday

Number of Dentist Visits Last Year

0 1 2 3 4 5

Number of Visits

1. How many visited a dentist

twice last year?

2. In total, how many visited a

dentist at least once?

Wednesday

1. Chocolate was priced at €5.50 per 1 4 kg.

Callum paid €16.50. How many grams of

chocolate did he buy?

2.

g

9 9 5

+ 2 5

1 , 2 9 0

1. 9 10 – 2 5 =

2. 7

100 = 0.

3. 3 4 kg = g

4. Draw a 90° turn

anticlockwise.

E

5. 3 92.7 =

6. Colour 40%.

7. 600,002 – 7

=

8. 1, 4, 9, 16,

9. Double 139.

10. 999,998 + 7

=

11. 15,000 – 3,500

=

12. 700 ÷ 1 = 700

700 ÷ 0.1 =

13. Mark the

temperature

–4 °C on the

thermometer.

14. Join the dots

to draw 3

cubes.

15. 40% of €60.00

= €

16. 62.125 + 31.249

=

17. 12 168 =

18. 39.597 – 15.065

=

19. There are 42 carrots. If

the carrots are shared

equally among 6 rabbits,

how many carrots will

each rabbit get?

=

20. Mike earns €15.50 per

hour. How much will he

earn in 4 hours?


21. 80% of 1 km

= m

22. 80 + 90 + 20

=

23. 5 2 5 > 29 5

Review sample

Thursday

1. Which popcorn box can be made from this net?

A B C D

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

True

24. Colour 0.72.

False

Week 36

25. 300,000 × 10

2. What number is at A?

A

3,000 3,500

=

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 109


MONDAY

TUESDAY

Week 37

1. (15 ÷ 3) + 5 =

2. Write 5.50 p.m. in 24-hour time. hrs

3. 90 ÷ 10 = 9

90 ÷ 1 = 90

90 ÷ 0.1 =

4. If it costs €1.50 per metre to paint a white line on

the road, what is the cost of 10 km?


5. Write the number before 232,040.

6. Mark the temperature +4 °C on the

thermometer.

7. 12, 32, 52, 72,

8. 909,973 – 8 =

9. 16,000 × 10 =

10. Colour the sum of 1.2.

0.7

0.3

0.6

0.1

1.0

0.5

0.2

0.9

0.4

0.8

11. Colour the sum of 1.3 in a different colour.

12. Write the numeral one million.

13. Name a shape that tessellates.

14. 4 7 + 3 7 + 6 7 = =

15. 5,000,000 + 5,000,000 =

16. 800 × 50 =

17. A right angle has degrees.

18. Draw a diagonal line of symmetry on one of the shapes.

19. 15 180 =

20. €100.00 – €29.95 = €

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

1. (6 × 7) – 12 =

2. Which shape is an irregular hexagon?

A B C

3. What is the number after 535,009?

4. 421,711 – 5 =

5. Write 10 quarters as a mixed number.

6. 2 3 =

12

7. Which fraction is equivalent to 3 4 ?

1

2

8. This shape is a

4

10

9. Draw the lines of symmetry.

10. Area = 21 cm 2

Side d =

cm

.

9

12

11. What is the perimeter? cm

12. 999,993 + 8 =

13. 600 × 30 =

14. 50,000 × 10 =

15. Draw a 90° turn clockwise.

Review sample

16. (5 × 20c) + (7 × 50c) = €

17. €100.00 – €28.00 = €

18. Complete the factors of 24.

19. 94.841 – 22.614 =

1

2 12

3

20. 12 7 – 4 7 = =

6

d

3 cm

110 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. (24 ÷ 4) + 6 =

2. (4 × 20c) + (7 × 50c) + (3 × 10c) = €

3. 19 × 25 × 4 =

4. 888,888 – 9 =

5. Mark the temperature –1 °C

on the thermometer.

6. Which fraction is equivalent to 2 3 ?

4

3

6

9

4

12

7. Roll a dice. The chance it will land on an

even number is

in .

8. The bone was €60, now it costs € .

9. 12,000 – 8,500 =

10. 11 220 =

20%

11. Write the numeral ten million and ten thousand.

12. Round 17,711 (nearest 1,000).

13. 5 6 of 36 =

14. 800 + 500 + 900 =

15. 12 × 0.05 =

16. Area = m 2 2 m

4 m

2 m

2 m

2 m

2 m

4 m

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

1. (8 × 9) – 12 =

2. If the diameter is 10 cm, the radius is cm.

3. Draw a 180° turn clockwise.

4. 777 – 10 =

5. Which shape is an irregular octagon?

A B C

6. Mark the temperature –5 °C

on the thermometer.

7. Write 15 quarters as

a mixed number.

8. What is the average test score?

7 8 6

9. 80 × 90 =

10. Draw dots on the obtuse angles.

11. 3 8 of 24 =

12. 7 2.107 =

13. 800 + 400 + 2,000 =

14. What is the chance of picking a blue ball from a hat

with 5 blue and 5 red balls?

Review sample

15. 6 + 3 × 6 =

out of

16. Write in ascending order.

F

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

Week 37

6 m

1

5

1

2

1

9

1

10

17. Perimeter = m

, , ,

18. Share €10.00 of 50c coins among 5 people.

€ each

19. What is the average?

12 31 18 19

17. 8 2 =

18. 16:25 = a.m./p.m.

19. 900 – 325 =

20. Write the number before 1,100,000.

20. 10 + 5 × 6 =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 111


PROBLEM-SOLVING

FRIDAY REVIEW

Week 37

Monday

1. The weight of the

flour is g.

2. The cost of flour is

€3 per kg. What is the cost

of the flour on the scales?


Tuesday

1. A swimmer completed two sessions of a 3 1 2 km

set in a 50-m pool. How many laps in total?

2. 30 hundreds, 20 thousands and 15 ten

thousands is equal to

.

Wednesday

1. A jelly bean jar had 1 red jelly bean for every 5

non-red jelly beans. The jar had 36 jelly beans.

How many were red?

2. What is the angle

size? °

Thursday

Complete the pattern.

1. Draw to show the clock hands at the 5th

position in the pattern.

110 °

8

7

6

5

0

kg

4

1

2

3

20 °

1. (35 ÷ 7) + 10

=

2. Mark the

temperature

–3 °C on the

thermometer.

3. (5 × 50c) +

(6 × 20c) + (13 × 10c)

= €

4. Draw an irregular

hexagon.

5. 10,000 – 8,500

=

6. Siobhán has 120 beads.

She makes necklaces, each

with 20 beads. How many

necklaces are there?

=

7. 45, 90, 135,

8. Write 11 quarters as a

mixed number.

9. 3 8 of 16 =

10. Name one 2-D shape that

will tessellate.

13. The dog bone was €5, now

it costs € .

10%

14. Write 7.25 p.m. as 24-

hour time.

hrs

15. What is the average?

32 29 18 21

16. If it costs €2.00 per metre

to paint a blue line on the

road, what will 19 km cost?


17. This is a

18. 900 + 500 + 3,000

=

19. Draw a 90° turn clockwise.

20. Draw a diagonal line of

symmetry on one shape.

21. 63.245 + 21.372

Review sample

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

=

22. 71,072 × 10

.

11. Area = 28 cm 2

=

Perimeter = cm 23. 13 6 – 4 6 =

2. Draw to show the 7th

position in the pattern.

7 cm

12. 10 + 3 × 6 =

d

=

24. Roll a dice. The chance

it will land on an odd

number is

25. 90 ÷ 0.1 =

in .

112 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. Time (24-hour)? hrs

2. Halve 1,250.

3. What is the average age?

7 8 6 7

4. 5 + 6 × 3 =

5. 1,800 – 75 =

6. If you walked for an hour and covered 6 km, how far

did you walk every 10 minutes?

7. 404 – 6 =

km

8. 8 is approximately 6.99 or 7.99?

9. The value of the 2 in 23,115 is .

10. 3 × 0.3 =

11. Draw a 270° turn clockwise.

12. Which temperature is the coldest?

5 °C 8 °C –3 °C –7 °C 0 °C 4 °C

13. 84.954 – 62.570 =

14. Write as a number sentence and solve it.

A total of 32 apples, packed in 8 bags. How many

apples in each bag?

The timetable shows the lessons 5th Class pupils have on

a Monday.

Time Lesson Time Lesson

9.00 a.m. Geography 12.10 p.m. Maths

9.45 a.m. English 1.15 p.m. Lunch

11.00 a.m. Break 1.45 p.m. Art

11.15 a.m. Gaeilge 2.45 p.m. End of School

15. Which lesson starts at 09:45 hours?

16. Which lesson ends at 13:15 hours?

17. In 24-hour time, what time does art start?

hrs

18. In 24-hour time, what time does school finish?

hrs

19. Maths starts at 00:10 hours. 12:10 hours.

20. Which two lessons last for more than 1 hour?

=

10:25 (a.m.) 1. Time (24-hour)? hrs

2. Mark the temperature –2 °C

5:25 (p.m.)

on the thermometer.

3. What is the average test score?

30 25 25 20

4. Round 9.09 (nearest whole number).

5. 9 – 3 × 3 =

6. 1,500 – 35 =

7. 18 + 0.18 + 0.02 =

8. Draw a net of a cube.

9. What type of triangle is this?

10. 4 6 + 5 6 + 2 6 = =

11. 90,000 × 10 =

12. 10 950 =

13. 999,996 + 10 =

14. 40% of 2 km = m

15. The angle at b is °.

Review sample

40°

16. There are 60 chocolate chips. The chef divides them

equally among five cakes. How many in each cake?

17. 70 + 40 + 80 =

18. €100.00 – €82.50 = €

19. 3, 8, 14, 21,

20. Double 99.

=

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

Week 38

and

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 113


WEDNESDAY

THURSDAY

Week 38

1. Time (24-hour)? hrs

1. Time (24-hour)? hrs

12:30 (p.m.) 12:35 (a.m.)

2. 63.148 + 24.529

2. This is a

=

.

3. (9 × 20c) + (8 × 50c) = €

4. 299,051 – 6 =

5. Round 16,600 (nearest 1,000).

6. 300 ÷ 30 =

7. 11 330 =

8. 800 – 475 =

9. The painting was €300, now it costs € .

50%

OFF

ART!

10. 45% of 1 kg? g

11. (18 ÷ 2) + 3 =

12. 4 + 0.2 + 0.8 =

13. Which unit would you use to measure the capacity of

a bath?

14. 121 = 11 ×

m

15. 19,000 – 11,500 =

16. Children in a choir are the following ages. Which age

occurs most frequently?

10 8 9 10 9 11 9

17. Share €110.00 among 5 people.

€ each

18. Draw an irregular octagon.

3. Mark the temperature +4 °C

on the thermometer.

4. Colour to show 3 4 .

5. 59.625 – 23.382

=

6. 893,502 – 5 =

7. 1 4 of = 20

8. 0.3 + 0.7 =

9. 70 × 80 =

10. (15 × 20c) + (14 × 50c) = €

8 m

11. Area = m 2 2 m

6 m

2 m

12. Perimeter = m

2 m

4 m 2 m

6 m

13. If the radius of a circle is 27 cm, what is the

diameter?

cm

14. 3, 9, 15, 21,

15. 9 + 1 × 5 =

16. 9,000 – 2,900 =

17. 999,994 + 10 =

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

Review sample

19. Write the prime numbers between 10 and 20.

, , and

20. Write the number before 393,220.

18. €100.00 – €92.50 = €

19. 10 90.10 =

20. What is the average test score?

18 15 9

114 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

5

2

4

3

Monday

2

2

4

A B C

1. Which spinner has 2 as a 1 2 chance?

2. Which spinner has 2 as a 1 2 + 1 6 = 2 3 chance?

5

Tuesday

1. Which number, in all 3 spinners, has a 1 in 6

chance?

2. The sum of 2 numbers is 11. Their product is 30.

The numbers are and .

Complete the chart.

Wednesday

1.0 1 100%

0.5 50%

0.25

0 0%

3

4

Thursday

1. A landscape designer drew a garden plan.

What is the length of the straight line from

A to B?

A

3 m

m

2. 999,990 , 999,995 , ,

, 1,000,010

5

2

2

2

1. Time? (24-hour)

hrs

12:30 (a.m.)

2. Mark the

temperature

0 °C on the

thermometer.

3. Draw a 90° turn

clockwise.

4. 98.526 – 15.274

=

5. Share €210.00 among 4

people.

€ each

6. 80 + 50 + 70

=

7. 1, 4, 9, 16,

8. 900 – 370 =

9. Can an oval tessellate?

10. (15 × 50c) + (20 × 20c)

= €

11. Draw an irregular octagon.

12. There are 90 chocolate

chips. The chef divides

them equally among 6

cakes. How many in each

cake?

=

13. 8 is nearer 7.99 or 7.9?

14. The book was €20, now

it costs € .

How to party

like a

dragon

20%

15. 4 3 7 = (mixed number)

16. 10 + 0.08 + 0.3

=

17. 1 4 of = 8

18. (24 ÷ 2) – 6 =

19. Share €90.00 among 5

people.

€ each

20. 132 = 12 ×

21. How many edges has a

cube?

22. Children in a ballet class

are the following ages.

Which age occurs most

frequently?

Review sample

ROSES

B

DAISIES

DAISIES

3 m

GRASS

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

5 6 4 5

7 6 4 6

23. 8 + 2 × 5 =

24. 4,000 – 1,900

=

25. 10 100.10 =

Week 38

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 115


MONDAY

TUESDAY

Week 39

1. The average of these numbers is .

6 5 4 2 8

2. 4 3 7 = (improper fraction)

3. Mark the temperature –5 °C

on the thermometer.

4. Halve 1,700.

5. (11 × 20c) + (9 × 50c)

= €

6. 80 + 60 + 30 =

7. What is the value of the 1 in one hundred thousand?

8. Write the number before 271,200.

9. Area = m 2

10. Perimeter = m

11. 412,201 – 7 =

12. (27 ÷ 3) × 2 =

13. What is the length of a? cm

14. 18,000 – 11,500 =

a

5 cm

15. Round 1.56 (nearest whole number).

16. What is the angle size of

rotation from 11 to 3?

°

17. The chances of picking an odd number from cards

numbered from 10 to 22 is

out of .

18. A florist had 6 vases with 8 flowers in each. How

many flowers altogether? Write as a number

sentence.

=

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

9 m

4 m

1. The average of these numbers is .

11 14 13 10 12

2. 18 ÷ 3 = 2 ×

3. 84.529 – 21.371 =

4. 496 × 5 =

5. Write the number after 319,999.

6. Draw a hand on the scales to

show the weight of 2.75 kg.

7. 550 + 650 =

8. 150, 250, 350,

9. 6 + 0.03 + 0.8 =

10. Which is the correct pie chart?

A cafe recorded 20 drink orders.

Coffee

10

Juice

5

Tea

5

Tea

5

Juice

5

11. (11 × 50c) + (15 × 20c) = €

12. 600 – 250 =

Coffee

10

13. 3 1 3 > 9 3 True False

14. Which is better value for money?

Tea

5

Coffee

10

Juice

5

8 apples for 72c 9 apples for 80c

15. Draw a 90° turn anticlockwise.

3

16. 17:00 hours is p.m.

17. €12.35 + €5.20 + €2.42 = €

18. Complete the multiples of 7.

7

19. 8 5 – 4 5 =

42 70

8

0

1

7

6

2

3

5 4

Review samplekg

19. 460 + 340 =

20. The place value of the 3 in 6.23 is .

20. 2 3 =

12

116 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


WEDNESDAY

THURSDAY

1. The average of these numbers is .

20 25 10 30 15

2. The boat was €120, now it costs € .

25%

1. The average of these numbers is .

8 9 4 7 12

2. A baker bakes 120 loaves of bread. He bakes 85

more. How many altogether?

3. 23

100 = %

=

Week 39

3. Double 79.

4. 40 × 0.04 =

5. 0.7, 0.8, 0.9,

6. Mark the temperature +2 °C on the

thermometer.

7. 999,994 + 6 =

8. 0.04 + 8 + 0.9 =

9. Which unit would you use to weigh a sack of

potatoes? g kg

10. 4 1 2 = 10 2 True False

11. 2 3 of 99 =

12. 3 5 + 2 5 + 4 5 = =

13. If you buy 2, the

total cost is € .

14. 180 ÷ 20 =

15. 3 2 =

16. Draw a diagonal line of symmetry.

17. Which number is the larger?

25,520 25,502

18. 14

100 = %

€1.50

°

C

5 °

4 °

3 °

2 °

1 °

0 °

–1 °

–2 °

–3 °

–4 °

–5 °

4. 4 5 of 550 =

5. 60% of 200 =

6. 80 × 0.06 =

7. The length of the pencil is cm.

8 9 10 11 12

8. Complete the multiples of 8.

8

48 80

9. 4 2.080 =

10. This is a

11. 2,000 – 1,250 =

12. 3 5 + 2 5 + 4 5 = =

13. 15 × 3 =

14. Draw a 270° turn anticlockwise.

Review sample

15. 62,000 × 10 =

16. 8 + 2 × 8 =

17. The place value of the 2 in 39.652 is

tenths. hundredths. thousandths.

.

19. Area = cm 2 8 cm

3 cm

6 cm

3 cm

2 cm

20. Perimeter = cm

5 cm

1 cm

6 cm

18. 0.07 < 0.69 True False

19. Write eighteen quarters as a mixed number.

20. If you walked 6 km in one hour, how far did you walk

in 1 4 of an hour?

km

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 117


PROBLEM-SOLVING

FRIDAY REVIEW

Week 39

Monday

1. A fast train travelled 450 km during a non-stop,

2-hour journey. What was the speed of the

train?

km per hour

2. A cloud data company charges €5.50 for 2 GB

of data. What would be the cost of 10 GB?


What is the value of

Tuesday

1. the 2 in two hundred thousand?

2. the 5 in ten thousand and fifteen?

Number of Pupils

5

4

3

2

1

0

Wednesday

5th Class After-school Music Lessons

Tin

Whistle

Electric

Guitar

Piano

Violin

Girls

Boys

1. In total, how many boys are playing music after

school?

2. Which musical instrument is being taught the

most to boys?

Thursday

1. In total, how many girls are playing music after

school?

1. The average of these

numbers is .

9 12 10 8 6

2. 7 2 =

3. Halve 1,900.

4. 3 3 7 = (improper fraction)

5. (12 × 20c) + (10 × 50c)

= €

6.

prism

7. 90 × 70 =

8. × 5 = 35

9. Mark the

temperature

–3 °C on the

thermometer.

10. 32

100

= %

11. What is the value of 4 in

four hundred thousand?

12. 50 × 0.5 =

13. 94.835 – 23.492

=

14. The angle at b

= °

–1 °

–2 °

–3 °

–4 °

–5 °

16. An artist has 48

paintings. He paints

14 more. How many

altogether?

=

17. Draw the lines of

symmetry on this shape.

18. 3 4 = %

19. Draw a 180° turn

clockwise.

5

20. Write the composite

numbers between 11 and

20.

21. 8 10 – 2 10 =

, , ,

, and

22. Draw a net of a

tetrahedron.

Review sample

°

C

5 °

4 °

3 °

2 °

1 °

0 °

23. 120 – 90 =

24. 290 + 510 =

25. Draw a hand to show a

weight of 1.25 kg.

2. Does this graph show if a boy or girl is learning

two or more musical instruments?

15. Write 21 quarters as a

mixed number.

0

kg

3 1

2

118 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MONDAY

TUESDAY

1. (50 ÷ 10) + 6 =

2. Interpret the data in the table.

Which pie chart is correct?

Fruit

Favourite After-school Snack

Crisps

Cakes

Crisps

Fruit

Cakes

Cakes

15

10

25

Total 50

Crisps

Fruit

Cakes

3. Which is the warmest temperature?

7 °C –2 °C 0 °C

4 °C –5 °C 6 °C

4. Double 77.

5. Write the number before 100,000.

6. Halve 94.

7. 900 – 190 =

8. 70 + 90 + 80 =

9. 8 + 0.2 + 0.01 =

10. 35.81 – 12.65 =

11. 19,000 – 3,500 =

12. 4 × 0.05 =

13. What is the chance of landing

on an even number?

in

14. y + 9 = 50, therefore y =

15. 3.52 × 2 =

3

4

Crisps

Fruit

5

0

1

2

1. 9 12 – 3 6 =

2. 0.5 = %

3. 4 5 of = 20

4. 3 5 + 4 5 + 4 5 = =

5. 20,000 – 1,550 =

6. 400,000 × 10 =

7. 16.235 + 31.582 =

8. Draw a 180° turn clockwise.

9. Draw a diagonal line of symmetry.

10. 10 750 =

11. What is the average of 21, 19, 32 and 28?

12. The angles in all triangles add up to º.

13. Which expression equals 40?

30 – 20 × 2 (30 – 10) × 2

14. 75 + = 102

15. If you walk 2 km every 20 minutes , how far will you

walk in 2 hours?

km

16. 700 – 170 =

Review sample

17. Colour 4 5 .

Week 40

16. 71,000 × 10 =

17. Which has a vertical line of symmetry?

18. 70 × 0.02 =

18. 800 ÷ 20 =

19. 130 – 70 =

19. 100 × 100 =

20. 20

100 = %

20. 14:15 hours = a.m./p.m.

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 119


WEDNESDAY

THURSDAY

Week 40

1. The average of these numbers is .

10 11 8 9 12

2. Which temperature is the coldest?

3 °C –3 °C 0 °C 5 °C

1. 10 × 75,000 =

2. 3.5 × 5 =

3. Will an oval tessellate?

4. 28 × 4 × 25 =

3. 75 + 65 + 95 =

5. 40% of 90 =

4. 75.529 – 31.378 =

6. Which expression equals 30?

5. Write from smallest to largest.

3

4

6. 600 × 7 =

7

8

1

2

, , ,

7. 200 , 800 , 3,200 ,

8. 25 × 100 =

9. Write the multiples of 3.

3

1

12

42

10. What is the size of the angle at 3 o’clock? °

11. 9 108.027 =

12. 20,000 – 15,800 =

13. Round 5,872 to the nearest 10.

14. Circle the symmetrical letter shape.

a A b F

15. How many 20c coins are needed to make €5.00?

10 + 5 × 2 (10 + 5) × 2

7. What is the next prime number after 7?

8. 0.7 × 0.3 =

9. Round 6.75 to the nearest whole number.

10. What type of triangle?

80°

20°

80°

11. Is 21 prime? composite?

12. James earns €150 per day. How much will he earn in

10 days?


13. 4 × 300 =

14. Which is a net of a cube?

Review sample

15. Write from largest to smallest.

0.5 0.25 0.2 0.7

16. Draw a 90° turn clockwise.

17. (2 × 3) + 8 =

18. This is a .

19. Which type of triangle?

isosceles

equilateral

scalene

20. 0.03 × 8 =

60°

60°

60°

, , ,

16. 3 1 3 – 1 3 =

17. 100,000 + 997,000 =

18. 900 – 755 =

19. €5.25 + €0.75 = €

20. Write the numeral one million and ten.

120 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


PROBLEM-SOLVING

FRIDAY REVIEW

Monday

1. Complete the pattern. The clock hand rotates

60° in an anticlockwise direction.

2. Bob paid €4.50 for 750 g of flour. What does

1 kg cost?


Tuesday

1. Paul paid €3.40 for 3 4 of a pizza. What would

the whole pizza have cost?


2. Seán ate 6 chocolates. He paid €4 for the box.

What is the cost of the 6 chocolates he ate?


Fancy

Wednesday

1. Our sum is 17, our product is 72. The 2

numbers are and .

2. Our difference is 7, our product is 44. The 2

numbers are and .

8 in

a pack

1. (40 ÷ 4) + 5 =

2. Can a circle tessellate?

3. Which is the warmest

temperature?

8 °C 0 °C

–3 °C 5 °C

2 °C –1 °C

4. Name this triangle.

60°

60°

5. 80 + 60 + 70

=

6. The average of these

numbers is .

22 10 20 30 18

7. 4,121 × 10 =

8. 0.3 × 0.8 =

9. 800 ÷ 40 =

10. 80 – 20 × 4 =

11. 20,000 – 16,200

=

12. 3 5 of 60 =

13. 15:15 hours

= a.m./p.m.

16. 1 4 km = m

17. 10 × 50 =

18. What is the next

composite number after

15?

19. If the clock hand was

rotated 60° clockwise,

what number would it be

on?

20. 60 × 80

=

21. 2 3 of 18 =

22. 2 1 2 – 1 2 =

23. How many 50c coins

make up €5.00?

24. Our sum is 14, our

product is 45. The 2

numbers are

Review sample

25. 1,000,000 ,

1,000,500 ,

1,001,000 ,

1,001,500 ,

and .

Week 40

Thursday

1. 0.275 , 0.550 , 0.825 , , 1.375

2. 0.125 , , 0.375 , 0.500 , 0.625

14. Round 15.845 to the

nearest whole number.

15. 8 10 + 6 10 + 9 10

= =

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 121


MATHS FACTS

2 , 3 5 9 , 7 4 1

2 , 0 0 0 , 0 0 0

3 0 0 , 0 0 0

5 0 , 0 0 0

9 , 0 0 0

7 0 0

4 0

1

millions

hundred

thousands

Strand: Number

Place Value

ten

thousands

thousands hundreds tens units

2 3 5 9 7 4 1

units • tenths hundredths thousandths

0 • 2 5 8

Prime Numbers

A prime number is a number that can be divided

evenly by only 1 and itself.

For example:

2, 3, 5, 7, 11, 13, 17 and 19

Factors

A factor of a number is a number that will divide

evenly into that number.

For example:

The factors of 12 are 1, 2, 3, 4, 6 and 12.

Square and Rectangular Numbers

A square number is a number that

can form the shape of a square.

For example: 1, 4, 9, 16, 25, …

A rectangular number is a

number that can form the shape

of a rectangle.

For example: 6, 8, 10, 12, …

Composite Numbers

0 . 2 5 8

0 . 2

0 . 0 5

0 . 0 0 8

A composite number is a number that can be divided by

more than 1 and itself; i.e. it has more than 2 divisors.

For example:

4, 6, 8, 9, 10, 12, 14, 15, 16, 18 and 20

Multiples

A multiple of a number is that number multiplied by

other whole numbers.

For example:

The multiples of 5 are 5, 10, 15, 20, 25, 30, …

Review sample

9

6

Improper Fractions

11

4 , 9 5 , 7 2 , 4 3

The numerator (top number) is greater than the

denominator (bottom number).

Mixed Numbers

2 3 4 , 1 4 5 , 3 1 2 , 1 1 3

A whole number and a fraction.

122 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MATHS FACTS


table ÷ 2 quotient 2

1 × 2 = 2 2 × 1 = 2 2 ÷ 2 = 1 2 ÷ 1 = 2

2 × 2 = 4 4 ÷ 2 = 2

3 × 2 = 6 2 × 3 = 6 6 ÷ 2 = 3 6 ÷ 3 = 2

4 × 2 = 8 2 × 4 = 8 8 ÷ 2 = 4 8 ÷ 4 = 2

5 × 2 = 10 2 × 5 = 10 10 ÷ 2 = 5 10 ÷ 5 = 2

6 × 2 = 12 2 × 6 = 12 12 ÷ 2 = 6 12 ÷ 6 = 2

7 × 2 = 14 2 × 7 = 14 14 ÷ 2 = 7 14 ÷ 7 = 2

8 × 2 = 16 2 × 8 = 16 16 ÷ 2 = 8 16 ÷ 8 = 2

9 × 2 = 18 2 × 9 = 18 18 ÷ 2 = 9 18 ÷ 9 = 2

10 × 2 = 20 2 × 10 = 20 20 ÷ 2 = 10 20 ÷ 10 = 2


table ÷ 4 quotient 4

1 × 4 = 4 4 × 1 = 4 4 ÷ 4 = 1 4 ÷ 1 = 4

2 × 4 = 8 4 × 2 = 8 8 ÷ 4 = 2 8 ÷ 2 = 4

3 × 4 = 12 4 × 3 = 12 12 ÷ 4 = 3 12 ÷ 3 = 4

4 × 4 = 16 16 ÷ 4 = 4

5 × 4 = 20 4 × 5 = 20 20 ÷ 4 = 5 20 ÷ 5 = 4

6 × 4 = 24 4 × 6 = 24 24 ÷ 4 = 6 24 ÷ 6 = 4

7 × 4 = 28 4 × 7 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4

8 × 4 = 32 4 × 8 = 32 32 ÷ 4 = 8 32 ÷ 8 = 4

9 × 4 = 36 4 × 9 = 36 36 ÷ 4 = 9 36 ÷ 9 = 4

10 × 4 = 40 4 × 10 = 40 40 ÷ 4 = 10 40 ÷ 10 = 4


table ÷ 6 quotient 6

1 × 6 = 6 6 × 1 = 6 6 ÷ 6 = 1 6 ÷ 1 = 6

2 × 6 = 12 6 × 2 = 12 12 ÷ 6 = 2 12 ÷ 2 = 6

3 × 6 = 18 6 × 3 = 18 18 ÷ 6 = 3 18 ÷ 3 = 6

4 × 6 = 24 6 × 4 = 24 24 ÷ 6 = 4 24 ÷ 4 = 6

5 × 6 = 30 6 × 5 = 30 30 ÷ 6 = 5 30 ÷ 5 = 6

6 × 6 = 36 36 ÷ 6 = 6

7 × 6 = 42 6 × 7 = 42 42 ÷ 6 = 7 42 ÷ 7 = 6

8 × 6 = 48 6 × 8 = 48 48 ÷ 6 = 8 48 ÷ 8 = 6

9 × 6 = 54 6 × 9 = 54 54 ÷ 6 = 9 54 ÷ 9 = 6

10 × 6 = 60 6 × 10 = 60 60 ÷ 6 = 10 60 ÷ 10 = 6


table ÷ 8 quotient 8

1 × 8 = 8 8 × 1 = 8 8 ÷ 8 = 1 8 ÷ 1 = 8

2 × 8 = 16 8 × 2 = 16 16 ÷ 8 = 2 16 ÷ 2 = 8

3 × 8 = 24 8 × 3 = 24 24 ÷ 8 = 3 24 ÷ 3 = 8

4 × 8 = 32 8 × 4 = 32 32 ÷ 8 = 4 32 ÷ 4 = 8

5 × 8 = 40 8 × 5 = 40 40 ÷ 8 = 5 40 ÷ 5 = 8

6 × 8 = 48 8 × 6 = 48 48 ÷ 8 = 6 48 ÷ 6 = 8

7 × 8 = 56 8 × 7 = 56 56 ÷ 8 = 7 56 ÷ 7 = 8

8 × 8 = 64 64 ÷ 8 = 8

9 × 8 = 72 8 × 9 = 72 72 ÷ 8 = 9 72 ÷ 9 = 8

10 × 8 = 80 8 × 10 = 80 80 ÷ 8 = 10 80 ÷ 10 = 8

Strand: Number

Multiplication and Division Facts


table ÷ 3 quotient 3

1 × 3 = 3 3 × 1 = 3 3 ÷ 3 = 1 3 ÷ 1 = 3

2 × 3 = 6 3 × 2 = 6 6 ÷ 3 = 2 6 ÷ 2 = 3

3 × 3 = 9 9 ÷ 3 = 3

4 × 3 = 12 3 × 4 = 12 12 ÷ 3 = 4 12 ÷ 4 = 3

5 × 3 = 15 3 × 5 = 15 15 ÷ 3 = 5 15 ÷ 5 = 3

6 × 3 = 18 3 × 6 = 18 18 ÷ 3 = 6 18 ÷ 6 = 3

7 × 3 = 21 3 × 7 = 21 21 ÷ 3 = 7 21 ÷ 7 = 3

8 × 3 = 24 3 × 8 = 24 24 ÷ 3 = 8 24 ÷ 8 = 3

9 × 3 = 27 3 × 9 = 27 27 ÷ 3 = 9 27 ÷ 9 = 3

10 × 3 = 30 3 × 10 = 30 30 ÷ 3 = 10 30 ÷ 10 = 3


table ÷ 5 quotient 5

1 × 5 = 5 5 × 1 = 5 5 ÷ 5 = 1 5 ÷ 1 = 5

2 × 5 = 10 5 × 2 = 10 10 ÷ 5 = 2 10 ÷ 2 = 5

3 × 5 = 15 5 × 3 = 15 15 ÷ 5 = 3 15 ÷ 3 = 5

4 × 5 = 20 5 × 4 = 20 20 ÷ 5 = 4 20 ÷ 4 = 5

5 × 5 = 25 25 ÷ 5 = 5

6 × 5 = 30 5 × 6 = 30 30 ÷ 5 = 6 30 ÷ 6 = 5

7 × 5 = 35 5 × 7 = 35 35 ÷ 5 = 7 35 ÷ 7 = 5

8 × 5 = 40 5 × 8 = 40 40 ÷ 5 = 8 40 ÷ 8 = 5

9 × 5 = 45 5 × 9 = 45 45 ÷ 5 = 9 45 ÷ 9 = 5

10 × 5 = 50 5 × 10 = 50 50 ÷ 5 = 10 50 ÷ 10 = 5


table ÷ 7 quotient 7

1 × 7 = 7 7 × 1 = 7 7 ÷ 7 = 1 7 ÷ 1 = 7

2 × 7 = 14 7 × 2 = 14 14 ÷ 7 = 2 14 ÷ 2 = 7

3 × 7 = 21 7 × 3 = 21 21 ÷ 7 = 3 21 ÷ 3 = 7

4 × 7 = 28 7 × 4 = 28 28 ÷ 7 = 4 28 ÷ 4 = 7

5 × 7 = 35 7 × 5 = 35 35 ÷ 7 = 5 35 ÷ 5 = 7

6 × 7 = 42 7 × 6 = 42 42 ÷ 7 = 6 42 ÷ 6 = 7

7 × 7 = 49 49 ÷ 7 = 7 49 ÷ 7 = 7

8 × 7 = 56 7 × 8 = 56 56 ÷ 7 = 8 56 ÷ 8 = 7

9 × 7 = 63 7 × 9 = 63 63 ÷ 7 = 9 63 ÷ 9 = 7

10 × 7 = 70 7 × 10 = 70 70 ÷ 7 = 10 70 ÷ 10 = 7

Review sample


table ÷ 9 quotient 9

1 × 9 = 9 9 × 1 = 9 9 ÷ 9 = 1 9 ÷ 1 = 9

2 × 9 = 18 9 × 2 = 18 18 ÷ 9 = 2 18 ÷ 2 = 9

3 × 9 = 27 9 × 3 = 27 27 ÷ 9 = 3 27 ÷ 3 = 9

4 × 9 = 36 9 × 4 = 36 36 ÷ 9 = 4 36 ÷ 4 = 9

5 × 9 = 45 9 × 5 = 45 45 ÷ 9 = 5 45 ÷ 5 = 9

6 × 9 = 54 9 × 6 = 54 54 ÷ 9 = 6 54 ÷ 6 = 9

7 × 9 = 63 9 × 7 = 63 63 ÷ 9 = 7 63 ÷ 7 = 9

8 × 9 = 72 9 × 8 = 72 72 ÷ 9 = 8 72 ÷ 8 = 9

9 × 9 = 81 81 ÷ 9 = 9

10 × 9 = 90 9 × 10 = 90 90 ÷ 9 = 10 90 ÷ 10 = 9

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 123


MATHS FACTS

Strand: Number

Multiplication and Division Facts

1

8

1

9

1

12

1

6

1

5

1

4

1

12

1

3

1

9

1

8

1

12

10×

table ÷ 10 quotient 10

1 × 10 = 10 10 × 1 = 10 10 ÷ 10 = 1 10 ÷ 1 = 10

2 × 10 = 20 10 × 2 = 20 20 ÷ 10 = 2 20 ÷ 2 = 10

3 × 10 = 30 10 × 3 = 30 30 ÷ 10 = 3 30 ÷ 3 = 10

4 × 10 = 40 10 × 4 = 40 40 ÷ 10 = 4 40 ÷ 4 = 10

5 × 10 = 50 10 × 5 = 50 50 ÷ 10 = 5 50 ÷ 5 = 10

6 × 10 = 60 10 × 6 = 60 60 ÷ 10 = 6 60 ÷ 6 = 10

7 × 10 = 70 10 × 7 = 70 70 ÷ 10 = 7 70 ÷ 7 = 10

8 × 10 = 80 10 × 8 = 80 80 ÷ 10 = 8 80 ÷ 8 = 10

9 × 10 = 90 10 × 9 = 90 90 ÷ 10 = 9 90 ÷ 9 = 10

10 × 10 = 100 100 ÷ 10 = 10

1

2

1

6

0

1

9

1

12

1

5

1

8

1

4

1

4

Fractions

1

2

= 3 4 shaded

3

4 1

Equivalent Fractions

1

9

1

12

1

6

1

8

one whole 1

1

12

1

3

1

9

1

5

1

12

1

8

Review sample

1

6

1

4

1

9

1

12

1

8

1

9

1

12

1

5

1

2

1

6

1

12

1

8

1

3

1

9

1

4

1

12

1

5

1

6

1

8

1

9

1

12

1

10

1

10

1

10

1

10

1

10

1

10

1

10

1

10

1

10

1

10

Examples of Fractions, Decimals and Percentages

Fraction Decimal Percentage Fraction Decimal Percentage Fraction Decimal Percentage

1

1

1

2

0.5 50%

5

0.2 20%

8

0.125 12.5%

1

2

1

4

0.25 25%

5

0.4 40%

10

0.1 10%

2

3

1

4

0.5 50%

5

0.6 60%

100

0.01 1%

3

4

4

0.75 75%

5

0.8 80%

124 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MATHS FACTS

Strand: Algebra

Positive and Negative Numbers

–3 –2 –1 0 +1 +2 +3

Diameter

Radius

The Circle

diameter

radius

A line that divides a circle into half.

Half of a circle’s diameter from the

centre of the circle to the circumference.

2-D Shapes – Quadrilaterals

A quadrilateral is a shape with 4 sides and 4 angles.

The total of the angles is 360°.

square

4 equal length sides

4 right angles

rhombus

4 equal length sides

opposite angles are equal

rectangle

2 opposite sides

are equal

4 right angles

Strand: Shape and Space

parallelogram

2 pairs of sides

the same length

2 pairs of angles the

same size

trapezium

1 pair of parallel sides

3-D Shapes

2-D Shapes – Triangles

A triangle has 3 sides and 3 angles. The total of the

angles is 180°.

equilateral triangle

3 sides the same length

3 angles the same size

isosceles triangle

2 sides the same length

2 angles the same size

scalene triangle

No equal sides or angles

Other 2-D Shapes

circle semicircle oval

pentagon

5 sides

5 corners

hexagon

6 sides

6 corners

Review sample

octagon

8 sides

8 corners

cube

6 faces

12 edges

8 vertices

cuboid

6 faces

12 edges

8 vertices

cylinder

cone

sphere

shaped

like a

ball

triangular

prism

5 faces

9 edges

6 vertices

tetrahedron

(triangular-based pyramid)

4 faces

6 edges

4 vertices

square-based

pyramid

5 faces

8 edges

5 vertices

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 125


MATHS FACTS

Strand: Shape and Space

Example Nets of 3-D Shapes

cone

cuboid

cylinder

Horizontal

A line parallel to the horizon.

Vertical

A line which is at a right angle

to a horizontal line.

Parallel

Lines that are always the same

distance apart and have no

common points.

Acute

cube

Right

Lines

Angles

Perpendicular

A line at a right angle

to another line.

Obtuse

triangular

prism

tetrahedron

(triangular-based pyramid)

square-based

pyramid

Oblique

A line slanting from the

vertical to the horizontal.

Review sample

Reflex

An acute angle

has less than 90°.

A right angle has 90°.

An obtuse angle has

between 90° and 180°.

A reflex angle has between

180° and 360°.

126 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class


MATHS FACTS

Examples:

3 cm

2 cm

3 cm

2 cm

Unit

millimetre

centimetre

metre

kilometre

Strand: Measures

Length

Abbreviation

mm

cm

m

km

Area

10 mm = 1 cm

100 cm = 1 m

1,000 m = 1 km

The area of a rectangle can be found by applying the formula:

area = length x width

Area = L × W

Area = 3 cm × 2 cm

Area = 6 cm 2

6 m

1 m

Area = L × W

Area = 6 m × 1 m

Area = 6 m 2

The area of irregular shapes can be found by breaking the area into appropriate shapes;

for example, rectangles.

Unit

gram

kilogram

Weight

1,000 g = 1 kg

6 cm

8 cm

Abbreviation

g

kg

2 cm

Area = (L × W) + (L × W)

Area = (3 cm × 2 cm) + (6 cm × 2 cm)

Area = 6 cm 2 + 12 cm 2

Area = 18 cm 2

Money

Unit Abbreviation

cent

c

euro €

Review sample

100c = €1.00

Capacity

Unit

millilitre

litre

Abbreviation

m

1,000 m = 1

5th Class 978-1-92096-243-2 Prim-Ed Publishing – www.prim-ed.com New Wave Mental Maths 127


MATHS FACTS

9

10

8

21

22

20

11

23

19

7

12

24

18

6

1

13

17

5

Pictogram

24-hour Clock

A graph in which data is represented by pictures. One

picture could represent one unit or many.

= 2

Cupcakes Baked

14

16

15

Mon Tue Wed Thur

2

4

3

Strand: Measures

Time

a.m.

The time between midnight and

midday is a.m. time.

p.m.

The time between midday and

midnight is p.m. time.

Examples:

8 a.m. = 08:00 hours

8 p.m. = 20:00 hours

2.30 a.m. = 02:30 hours

2.30 p.m. = 14:30 hours

12.01 a.m. = 00:01 hours

11.59 p.m. = 23:59 hours

Strand: Data

Bar Graph

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

52 weeks = 1 year

365 days = 1 year

366 days = 1 leap year

Library Books Borrowed During Week 3

Review sample

Books Borrowed

50

40

30

20

10

0

1st

Class

2nd

Class

3rd

Class

Pie Chart

Chance

Dogs

1

2

1

8

Fish

1

4

Other

Pets in 5th Class

Cats

1

8

Dogs

20

Fish

10

Cats

5 5

Other

The likelihood of an event occurring.

Outcomes

Rolling a dice (1, 2, 3, 4, 5, 6)

Coin toss (head, tail)

An even number on a dice (3 in 6 or 1 in 2)

As fractions

As numbers

128 New Wave Mental Maths Prim-Ed Publishing – www.prim-ed.com 978-1-92096-243-2 5th Class