Year 6 Maths SATs Targeted Practice Workbook

Year 6 Maths

SATs Targeted Practice Workbook

with online quizzes

Contents Starter test .................................................................................................................................................... 4 Number and place value Place value ..................................................................................................................................................... 12 Negative numbers ........................................................................................................................................ 14 Rounding ......................................................................................................................................................... 16 Prime, square and cube numbers ............................................................................................................. 18 Addition, subtraction, multiplication and division (calculations) Order of operations .................................................................................................................................... 20 Mental calculations ...................................................................................................................................... 22 Written addition and subtraction ............................................................................................................ 24 Common factors and multiples ................................................................................................................ 26 Written multiplication ................................................................................................................................. 28 Written division ............................................................................................................................................ 30 Mixed problems ............................................................................................................................................ 32 Progress test 1 .......................................................................................................................................... 34 Fractions, decimals and percentages Equivalent fractions ..................................................................................................................................... 38 Fractions of amounts .................................................................................................................................. 40 Adding and subtracting fractions ............................................................................................................. 42 Multiplying fractions .................................................................................................................................... 44 Dividing fractions ......................................................................................................................................... 46 Improper fractions and mixed numbers ................................................................................................. 48 Percentages ................................................................................................................................................... 50 Fraction, decimal and percentage problems ......................................................................................... 52 Ratio and proportion Ratio................................................................................................................................................................. 54 Scale factor..................................................................................................................................................... 56 Unequal sharing............................................................................................................................................. 58 Progress test 2 .......................................................................................................................................... 60 Algebra Equations ........................................................................................................................................................ 64 Formulae ........................................................................................................................................................ 66 Sequences........................................................................................................................................................ 68 Measurement Units of measurement ................................................................................................................................ 70 Imperial and metric units............................................................................................................................ 72

2 27895_P001_003.indd 2

07/04/2025 15:09

Contents Audio test 2 Perimeter and area....................................................................................................................................... 74 Area of triangles and parallelograms...................................................................................................... 76 Geometry – properties of shapes 2-D shapes – triangles, polygons and circles ....................................................................................... 78 2-D shapes – quadrilaterals ..................................................................................................................... 80 3-D shapes and nets .................................................................................................................................... 82 Volume ............................................................................................................................................................ 84 Progress test 3 .......................................................................................................................................... 86 Geometry – position and direction Missing angles ............................................................................................................................................... 90 Angle problems ............................................................................................................................................. 92 Coordinates ................................................................................................................................................... 94 Translations ................................................................................................................................................... 96 Reflections ...................................................................................................................................................... 98 Statistics Bar charts ...................................................................................................................................................... 100 Line graphs .................................................................................................................................................... 102 Pie charts ........................................................................................................................................................ 104 The mean ....................................................................................................................................................... 106 Progress test 4 .......................................................................................................................................... 108 Answers ........................................................................................................................................................ 112 Progress test charts ............................................................................................................................... 128

ACKNOWLEDGEMENTS The author and publisher are grateful to the copyright holders for permission to use quoted materials and images.

All illustrations and images are © Shutterstock. com and © HarperCollinsPublishers Every effort has been made to trace copyright holders and obtain their permission for the use of copyright material. The author and publisher will gladly receive information enabling them to rectify any error or omission in subsequent editions. All facts are correct at time of going to press.

Without limiting the exclusive rights of any author, contributor or the publisher, any unauthorised use of this publication to train generative artificial intelligence (AI) technologies is expressly prohibited. HarperCollins also exercise their rights under Article 4(3) of the Digital Single Market Directive 2019/790 and expressly reserve this publication from the text and data mining exception.

Published by Collins An imprint of HarperCollinsPublishers 1 London Bridge Street London SE1 9GF HarperCollinsPublishers Macken House, 39/40 Mayor Street Upper, Dublin 1, D01 C9W8, Ireland © HarperCollinsPublishers Limited 2025 ISBN 9780008727895 First published 2025 10 9 8 7 6 5 4 3 2 1 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of Collins.

British Library Cataloguing in Publication Data.

A CIP record of this book is available from the British Library.

Publisher: Fiona McGlade Author: Katherine Pate Contributor: Frances Naismith Project manager and editorial: Chantal Addy Cover design: Sarah Duxbury Inside concept design: Ian Wrigley Text design and layout: Rose & Thorn Creative Services Ltd Artwork: Shutterstock and Collins Production: Bethany Brohm Printed in India

Contents 27895_P001_003.indd 3

3 07/04/2025 15:09

Common factors and multiples Challenge 1 1 W rite the first 5 multiples of 8.

1 mark

2 a) Write all the factors of 28.

b) Write all the factors of 40.

c) Write all the common factors of 28 and 40.

3 marks

3 Circle all the multiples of 3 in this grid.

101

102

103

104

105

106

107

108

109

110

2 marks

Challenge 2 1 Write all the common factors of 24 and 32.

1 mark

2 a) Write the first ten multiples of 5.

b) Write the first ten multiples of 4.

c) Write two common multiples of 4 and 5.

3 marks

3 a) Write all the common factors of 8 and 6.

b) Write the first three common multiples of 8 and 6.

2 marks

26 27895_P012_037.indd 26

27/03/2025 11:07

4 Circle the numbers that are divisible by 9 and also by 4.

8

18

36

49

54

94

108 2 marks

5 I think of a prime number greater than 5.

The number is a factor of 39 and of 52.

What is my number?

1 mark

Challenge 3 1 Write two common multiples of 2, 3 and 5. and

1 mark

2 Write all the common factors of 8, 16 and 20.

1 mark

3 I think of a number between 100 and 200.

My number is a factor of 600 and a multiple of 20.

What is my number?

1 mark

a perfect number, the sum of the factors (excluding the number itself) equals 4 In the number itself.

For example, the factors of 6 are 1, 2 and 3.

The sum of factors = 1 + 2 + 3 = 6 So, 6 is a perfect number.

Which of these is a perfect number?

14

28

32 1 mark

5 Tisha writes a list of common multiples of 3, 6 and 8.

What is the smallest number in Tisha’s list?

1 mark

How am I doing?

Total marks :

Addition, subtraction, multiplication and division (calculations) 27895_P012_037.indd 27

/ 20

27 27/03/2025 11:07

More practice

Progress test 1 1. The numbers in this sequence increase by the same amount each time.

130

180

230

2 marks

Write the missing numbers.

2. Write this number in figures. six million, four hundred and twenty-three thousand, five hundred and six 1 mark

3. Complete this multiplication grid.

×

5

9

6

42 72

9

9 marks

4. Write the number that is 100 less than 1010.

1 mark

5. Write these decimals in order, starting with the smallest.

0.23

0.02

0.3

0.032

0.203

smallest

0.003

largest 2 marks

6. Write the missing numbers in these boxes on the number line.

0 1000

3 marks

7. a) Write down all the factors of 36.

2 marks

b) Write all the common factors of 36 and 48.

2 marks

34 27895_P012_037.indd 34

27/03/2025 11:07

8. Work out: 1999 + 300 =

1 mark

9. Write the value of the digit 2 in each number. a) 32 456 b) 3765.2 c) 245 763

3 marks

10. In this number pyramid, each number is the difference between the two numbers above.

1426

875

Difference between 1426 and 875

301 3 marks

Complete the pyramid.

11. Circle every prime number in this list.

32

37

39

43

51

67

85

97

2 marks

12. Meghan puts eggs into boxes.

She has 340 eggs.

Each box holds 12 eggs. a) How many boxes can Meghan fill with eggs?

boxes b) How many eggs are left over?

eggs

2 marks

13. Write three common multiples of 6 and 10.

3 marks

14. At 2 pm the temperature is 8°C. At 9 pm the temperature is −5°C. Work out the difference between these two temperatures.

°C

Progress test 1 27895_P012_037.indd 35

1 mark

35 27/03/2025 11:07

15. Work out: 6+4×3–2=

1 mark

16. Work out: 12 200 – 1250 =

1 mark

17. Write the number 37 609 in words.

1 mark

18. Work out: 275 × 34 =

1 mark

19. Work out: 53 – 42 =

1 mark

20. Work out: 7 2702

1 mark

21. Circle every square number: 12

16

55

81

32

25

64

2 marks

22. Work out: 18.36 – 4.5 = 1 mark

23. Write the temperature that is 15 degrees lower than 6°C.

°C 24. Divide 132 by 5.

1 mark

Write the remainder as a fraction.

1 mark

25. Work out: (3 × 7 + (11 – 8)) ÷ 4 =

1 mark

36 27895_P012_037.indd 36

27/03/2025 11:07

26. Round 46 237.95: a) to the nearest whole number. b) to the nearest ten. c) to the nearest thousand. d) to the nearest ten thousand.

4 marks

27. There are 792 children in a school.

The children are put into classes of 24.

How many classes are there?

1 mark

28. 1 notepad costs £2.30 Write a calculation to estimate the cost of 82 of these notepads.

1 mark

2m

29. Tom wants to put LED lights all along the top of his bedroom walls.

Here is a plan of his bedroom.

1.75 m 3.2 m

Calculate an estimate of the length of LED lights Tom needs.

4.15 m

Give your answer to the nearest metre.

m

1 mark

30. A packet of stickers costs 89p.

Work out the cost of 75 packets of stickers.

£

1 mark

31. Mike cuts 3 metres of wood into 11 equal pieces.

Work out the length of one piece in centimetres, accurate to one decimal place.

cm

How am I doing?

Total marks :

Progress test 1 27895_P012_037.indd 37

1 mark

/ 58

37 27/03/2025 11:07

Area of triangles and parallelograms Challenge 1 1 Use the formula to work out the area of the triangle below. area of triangle =

base × height 2

4 cm

10 cm

cm2

1 mark

cm2

1 mark

2 Use the formula to work out the area of the parallelogram below. area of parallelogram = base × height 9 cm 6 cm

Challenge 2 1 Work out the area of each triangle. b)

a)

5 cm

6 cm 7 cm

7 cm

cm2

cm2

2 marks

2 Work out the area of each parallelogram. b)

a)

10 cm

6 cm 9 cm 11 cm

cm2

cm2

2 marks

76 27895_P064_089.indd 76

28/03/2025 15:39

3 The area of this parallelogram is 72 cm2.

12 cm

b

Work out the length of b, the base of the parallelogram. cm

1 mark

Challenge 3 1 Work out the area of each shape.

6 cm

a) 4 cm

5 cm

b) 8 cm 4 cm

5 cm

10 cm

cm2

cm2

2 marks

2 The area of this triangle is 28 m2.

h 8m

Work out the height, h, of the triangle. m

1 mark

cm2

1 mark

3 Work out the area of this shape.

7 cm 4 cm

4 cm

How am I doing?

Total marks :

Measurement 27895_P064_089.indd 77

/ 11

77 27/03/2025 11:11