, DK LONDON
Senior editor Sarah MacLeod
Senior art editor Samantha Richiardi
Project editors Edward Aves, Ben Morgan
Editor Alexandra Di Falco
Illustrators Adam Brackenbury, Gus Scott
Managing editors Rachel Fox, Lisa Gillespie
Managing art editor Owen Peyton Jones
Production editor George Nimmo
Production controller Laura Andrews
Jacket designer Akiko Kato
Jackets design development manager Sophia MTT
Publisher Andrew Macintyre
Art director Karen Self
Associate publishing director Liz Wheeler
Publishing director Jonathan Metcalf
Authors Belle Cottingham, John Farndon, Tom Jackson,
Ben Morgan, Michael Olagunju, Jenny Skene, Karl Warsi
Consultant Karl Warsi
DK DELHI
Senior editor Anita Kakar
Project art editor Sanjay Chauhan
Editors Aashirwad Jain, Sonali Jindal
Art editor Sonakshi Singh
Assistant art editor Aparajita Sen
Senior picture researcher Surya Sankash Sarangi
Picture research manager Taiyaba Khatoon
Senior managing editor Rohan Sinha
Managing art editor Sudakshina Basu
Senior DTP designer Vishal Bhatia
DTP designer Nityanand Kumar
Pre-production manager Balwant Singh
Production manager Pankaj Sharma
Jacket designer Juhi Sheth
Senior jackets designer Suhita Dharamjit
Jackets DTP designer Rakesh Kumar
Design head Malavika Talukder
Editorial head Glenda R Fernandes
First published in Great Britain in 2021 by
Dorling Kindersley Limited
DK, One Embassy Gardens, 8 Viaduct Gardens,
London, SW11 7BW
The authorised representative in the EEA is Dorling Kindersley Verlag GmbH,
Arnulfstr 124, 8036 Munich, Germany
Copyright © 2021 Dorling Kindersley Limited
A Penguin Random House Company
10 9 8 7 6 5 4 3 2 1
001-322042-June/2021
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: 978-0-2414-7095-4
Printed and bound in China
www.dk.com
This book was made with Forest Stewardship Council™ certified paper –
one small step in DK’s commitment to a sustainable future.
For more information go to www.dk.com/our-green-pledge
002-003_Imprint.indd 2 04/02/2021 15:04
, s u p e r s i m p le
M ATH S
THE ULTIMATE BITESIZE STUDY GUIDE
2
x
c b 2
3
3n
a2 9tu 3
x y
2
c
2 2
ab
y 4b
−5 c
002-003_Imprint.indd 3 27/01/21 5:47 PM
, Contents Angles and shapes
30 Angles
31 Angle facts
Number and arithmetic 32 Angles and parallel lines
34 Measuring and drawing angles
10 Introducing numbers 35 Symmetry
11 Decimals 36 Properties of triangles
12 Written addition and subtraction 37 Properties of quadrilaterals
13 Adding and subtracting decimals 38 Properties of polygons
14 Negative numbers 39 Angles in a triangle
15 Multiplying and dividing by 40 Angles in a quadrilateral
10, 100, and 1000 41 Exterior angles of a polygon
16 Methods of multiplication 42 Interior angles of a polygon
18 Methods of division 43 Properties of a circle
20 Mental addition and subtraction 44 Practice question: Working with angles
21 Mental multiplication and division
22 Powers of numbers
23 Factors and multiples Fractions, decimals,
24 Prime numbers and percentages
25 Prime factorization
26 Common factors and multiples 46 Fractions
28 Order of operations 47 Improper fractions and mixed numbers
48 Comparing fractions
49 Adding and subtracting fractions
50 Fraction of an amount
51 Multiplying fractions
52 Dividing fractions
54 Percentages
55 Fractions, decimals, and percentages
56 Percentage of an amount
57 Mental percentage calculations
a 58 Finding the percentage change
b 59 Percentage increase and decrease
d 60 Reverse percentages
61 Growth and decay
c 62 Compound interest
63 Recurring decimals
64 Recurring decimals and fractions
004-008_Contents.indd 4 27/01/21 1:48 PM
Senior editor Sarah MacLeod
Senior art editor Samantha Richiardi
Project editors Edward Aves, Ben Morgan
Editor Alexandra Di Falco
Illustrators Adam Brackenbury, Gus Scott
Managing editors Rachel Fox, Lisa Gillespie
Managing art editor Owen Peyton Jones
Production editor George Nimmo
Production controller Laura Andrews
Jacket designer Akiko Kato
Jackets design development manager Sophia MTT
Publisher Andrew Macintyre
Art director Karen Self
Associate publishing director Liz Wheeler
Publishing director Jonathan Metcalf
Authors Belle Cottingham, John Farndon, Tom Jackson,
Ben Morgan, Michael Olagunju, Jenny Skene, Karl Warsi
Consultant Karl Warsi
DK DELHI
Senior editor Anita Kakar
Project art editor Sanjay Chauhan
Editors Aashirwad Jain, Sonali Jindal
Art editor Sonakshi Singh
Assistant art editor Aparajita Sen
Senior picture researcher Surya Sankash Sarangi
Picture research manager Taiyaba Khatoon
Senior managing editor Rohan Sinha
Managing art editor Sudakshina Basu
Senior DTP designer Vishal Bhatia
DTP designer Nityanand Kumar
Pre-production manager Balwant Singh
Production manager Pankaj Sharma
Jacket designer Juhi Sheth
Senior jackets designer Suhita Dharamjit
Jackets DTP designer Rakesh Kumar
Design head Malavika Talukder
Editorial head Glenda R Fernandes
First published in Great Britain in 2021 by
Dorling Kindersley Limited
DK, One Embassy Gardens, 8 Viaduct Gardens,
London, SW11 7BW
The authorised representative in the EEA is Dorling Kindersley Verlag GmbH,
Arnulfstr 124, 8036 Munich, Germany
Copyright © 2021 Dorling Kindersley Limited
A Penguin Random House Company
10 9 8 7 6 5 4 3 2 1
001-322042-June/2021
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: 978-0-2414-7095-4
Printed and bound in China
www.dk.com
This book was made with Forest Stewardship Council™ certified paper –
one small step in DK’s commitment to a sustainable future.
For more information go to www.dk.com/our-green-pledge
002-003_Imprint.indd 2 04/02/2021 15:04
, s u p e r s i m p le
M ATH S
THE ULTIMATE BITESIZE STUDY GUIDE
2
x
c b 2
3
3n
a2 9tu 3
x y
2
c
2 2
ab
y 4b
−5 c
002-003_Imprint.indd 3 27/01/21 5:47 PM
, Contents Angles and shapes
30 Angles
31 Angle facts
Number and arithmetic 32 Angles and parallel lines
34 Measuring and drawing angles
10 Introducing numbers 35 Symmetry
11 Decimals 36 Properties of triangles
12 Written addition and subtraction 37 Properties of quadrilaterals
13 Adding and subtracting decimals 38 Properties of polygons
14 Negative numbers 39 Angles in a triangle
15 Multiplying and dividing by 40 Angles in a quadrilateral
10, 100, and 1000 41 Exterior angles of a polygon
16 Methods of multiplication 42 Interior angles of a polygon
18 Methods of division 43 Properties of a circle
20 Mental addition and subtraction 44 Practice question: Working with angles
21 Mental multiplication and division
22 Powers of numbers
23 Factors and multiples Fractions, decimals,
24 Prime numbers and percentages
25 Prime factorization
26 Common factors and multiples 46 Fractions
28 Order of operations 47 Improper fractions and mixed numbers
48 Comparing fractions
49 Adding and subtracting fractions
50 Fraction of an amount
51 Multiplying fractions
52 Dividing fractions
54 Percentages
55 Fractions, decimals, and percentages
56 Percentage of an amount
57 Mental percentage calculations
a 58 Finding the percentage change
b 59 Percentage increase and decrease
d 60 Reverse percentages
61 Growth and decay
c 62 Compound interest
63 Recurring decimals
64 Recurring decimals and fractions
004-008_Contents.indd 4 27/01/21 1:48 PM
