Contents
Foreword .................................. 71 Numbers
Number symbols.................... 10
Place value ............................. 12
Sequences and patterns ........ 14
Sequences and shapes ......... 16
Positive and negative
numbers ............................. 18
Comparing numbers ............ 20
Ordering numbers ............... 22
Estimating .............................. 24
Rounding ............................... 26
Factors ................................... 28
Multiples ................................ 30
Prime numbers ..................... 32
Prime factors ........................ 34
Square numbers ................... 36
Square roots .......................... 38
Cube numbers ...................... 39
Fractions ................................ 40
Improper fractions and
mixed numbers ................. 42
Equivalent fractions ............... 44
Simplifying fractions ............. 46
Finding a fraction of
an amount ......................... 47
Comparing fractions with
the same denominators .... 48
Comparing unit fractions ...... 49Comparing non-unit
fractions ............................. 50
Using the lowest
common denominator ....... 51
Adding fractions .................... 52
Subtracting fractions ............. 53
Multiplying fractions .............. 54
Dividing fractions .................. 56
Decimal numbers .................. 58
Comparing and ordering
decimals ............................ 60
Rounding decimals ................ 61
Adding decimals ................... 62
Subtracting decimals ............ 63
Percentages .......................... 64
Calculating percentages ....... 66
Percentage changes ............. 68
Ratio ...................................... 70
Proportion............................... 71
Scaling ................................... 72
Different ways to describe
fractions ............................. 742 Calculating
Addition ................................. 78
Adding with a number line ... 80
Adding with a number grid ... 81
Addition facts ........................ 82
Partitioning for addition ........ 83
Expanded column addition ... 84Senior editor Peter Frances
Senior art editor Mabel Chan
Editors Shaila Brown, Salima Hirani,
Sarah MacLeod, Steve Setford, Rona Skene
Designers Tannishtha Chakraborty,
Louise Dick, Alison Gardner, Mik Gates,
Tessa Jordens, Shahid Mahmood,
Peter Radcliffe, Mary Sandberg, Jacqui Swan,
Steve Woosnam-Savage
Illustrator Acute Graphics
Managing editors Lisa Gillespie, Paula Regan
Managing art editor Owen Peyton Jones
Senior producer, pre-production
Nikoleta Parasaki
Senior producer Mary Slater
Jacket editor Claire Gell
Jacket designers Mark Cavanagh,
Dhirendra Singh
Senior DTP designer Harish Aggarwal
Managing jackets editor Saloni Singh
Design development manager Sophia MTT
Publisher Andrew Macintyre
Art director Karen Self
Design director Phil Ormerod
Publishing director Jonathan Metcalf
First published in Great Britain in 2016 by
Dorling Kindersley Limited
80 Strand, London, WC2R 0RL
Copyright © 2016 Dorling Kindersley Limited
A Penguin Random House Company
10 9 8 7 6 5 4 3 2 1
001–192676–July/
All rights reserved.
No part of this publication may be reproduced,
stored in or introduced into a retrieval system,
or transmitted, in any form, or by any means
(electronic, mechanical, photocopying,
recording, or otherwise), without the prior
written permission of the copyright owner.
A CIP catalogue record for this book
is available from the British Library.
ISBN: 978-0-2411-8598-
Printed and bound in China
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