We are working with Cambridge Assessment International Education towards endorsement of this title. Cambridge Primary Cambridge Primary Mathematics Packed with activities, including puzzles, ordering and matching, this workbook helps your students practise what they have learnt. Specific questions develop thinking and working mathematically skills. Focus, Practice and Challenge exercises provide clear progression through each topic, helping learners to start at a level that matches their confidence.
Ideal for use in the classroom or for homework. CAMBRIDGE 9781108760027 Wood and Low Primary Maths Workbook Stage 4 CVR C M Y K Primary Mathematics • Practice activities to help learners apply their knowledge to new contexts • Three-tiered exercises in every unit get progressively more challenging to provide all learners with appropriate points to access the topic Mathematics • Varied question types keep learners interested • Write-in for ease of use • Answers for all questions can be found in the accompanying teacher’s resource For more information on how to access and use your digital resource, please see inside front cover. Workbook 4 Workbook 4 Mary Wood & Emma Low This resource is endorsed by Cambridge Assessment International Education Completely Cambridge ✓ Provides learner support as part of a set of Cambridge University Press works with Cambridge resources for the Cambridge Primary Mathematics Assessment International Education and experienced curriculum framework (0096) from 2020 authors to produce high-quality endorsed textbooks and digital resources that support Cambridge teachers ✓ Has passed Cambridge International’s and encourage Cambridge learners worldwide. rigorous quality-assurance process To find out more visit cambridge.org/ ✓ Developed by subject experts cambridge-international ✓ For Cambridge schools worldwide Registered Cambridge International Schools benefit from high-quality programmes, assessments and a wide range of support so that teachers can effectively deliver Cambridge Primary.org/primary to find out more.
Second edition Digital access Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title. CAMBRIDGE Primary Mathematics Workbook 4 Mary Wood & Emma Low Original material © Cambridge University Press 2021.
This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title. University Printing House, Cambridge CB2 8BS, United Kingdom One Liberty Plaza, 20th Floor, New York, NY 10006, USA 477 Williamstown Road, Port Melbourne, VIC 3207, Australia 314–321, 3rd Floor, Plot 3, Splendor Forum, Jasola District Centre, New Delhi – 110025, India 79 Anson Road, #06–04/06, Singapore 079906 Cambridge University Press is part of the University of Cambridge. It furthers the University’s mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.org Information on this title: www.org/9781108760027 © Cambridge University Press 2021 This publication is in copyright.
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are working with Cambridge Assessment International Education towards endorsement of this title. Contents Contents How to use this book 5 Thinking and Working Mathematically 6 1 Numbers and the number system 8 1.1 Counting and sequences 8 1.2 More on negative numbers 14 1.3 Understanding place value 18 2 Time and timetables 24 2.2 Timetables and time intervals 30 3 Addition and subtraction of whole numbers 34 3.1 Using a symbol to represent a missing number or operation 34 3.2 Addition and subtraction of whole numbers 39 3.3 Generalising with odd and even numbers 45 4 Probability 50 4.1 Likelihood 50 5 Multiplication, multiples and factors 58 5.1 Tables, multiples and factors 58 5.1 2D shapes and tessellation 71 6.2 Fractions as operators 88 8 Angles 92 8.2 Acute and obtuse 97 8.3 Estimating angles 101 3 Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title.
Contents 9 Comparing, rounding and dividing 106 9.1 Rounding, ordering and comparing whole numbers 106 9.2 Division of 2-digit numbers 110 10 Collecting and recording data 115 10.1 How to collect and record data 115 11 Fractions and percentages 123 11.1 Equivalence, comparing and ordering fractions 123 11.2 Percentages 129 12 Investigating 3D shapes and nets 136 12.1 The properties of 3D shapes 136 12.2 Nets of 3D shapes 141 13 Addition and subtraction 147 13.1 Adding and subtracting efficiently 147 13.2 Adding and subtracting fractions with the same denominator 152 14 Area and perimeter 157 14.1 Estimating and measuring area and perimeter 157 14.2 Area and perimeter of rectangles 165 15 Special numbers 173 15.1 Ordering and comparing numbers 173 15.2 Working with special numbers 177 15.3 Tests of divisibility 183 16 Data display and interpretation 186 16.1 Displaying and interpreting data 186 17 Multiplication and division 198 17.1 Developing written methods of multiplication 198 17.2 Developing written methods of division 204 18 Position, direction and movement 209 18.1 Position and movement 209 18.2 Reflecting 2D shapes 217 Acknowledgements 225 4 Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title. How to use this book How to use this book This workbook provides questions for you to practise what you have learned in class.
There is a unit to match each unit in your Learner’s Book. Each exercise is divided into three parts: • Focus: these questions help you to master the basics • Practice: these questions help you to become more confident in using what you have learned • Challenge: these questions will make you think very hard. Each exercise is divided into three parts. You might not need to work on all of them.
Your teacher will tell you which parts to do. You will also find these features: Important words that you will use. Step-by-step examples showing a way to solve a problem. There are often many different ways to solve a problem.
These questions will help you develop your skills of thinking and working mathematically. 5 Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title.
Thinking and Working Mathematically Contents Thinking and Working Mathematically There are some important skills that you will develop as you learn mathematics. Specialising is when I choose an example and check to see if it satisfies or does not satisfy specific mathematical criteria. Characterising is when I identify and describe the mathematical properties of an object. Generalising is when I recognise an underlying pattern by identifying many examples that satisfy the same mathematical criteria.
Classifying is when I organise objects into groups according to their mathematical properties. 6 Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title.
Thinking and Working Mathematically Critiquing is when I compare and evaluate mathematical ideas, representations or solutions to identify advantages and disadvantages. Improving is when I refine mathematical ideas or representations to develop a more effective approach or solution. Conjecturing is when I form mathematical questions or ideas. Convincing is when I present evidence to justify or challenge a mathematical idea or solution.
7 Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title. 1 Numbers and the number system 1.1 Counting and sequences Worked example 1 The numbers in this sequence increase by 30 each time.
The sequence continues in the same way. Which number in the sequence is closest to 200? List the terms in the sequence. The next terms in the sequence are: +30 +30 +30 +30 +30 +30 +30 10 40 70 100 130 160 190 220 200 Work out which term is closest to 200. 190 220 Answer: 190 is closest to 200.
difference linear sequence negative number non-linear sequence rule sequence spatial pattern square number term term-to-term rule 8 Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title.1 Counting and sequences Exercise 1.1 Focus 1 Hassan shaded in grey these numbers on a hundred square. The numbers form a pattern.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 a What is Hassan’s rule for finding the next number? b What is the next number in his pattern? 2 The sequence 10, 16, 22,. continues in the same way. Write the next two numbers in the sequence. , 9 Original material © Cambridge University Press 2021.
This material is not final and is subject to further changes prior to publication. are working with Cambridge Assessment International Education towards endorsement of this title. 1 Numbers and the number system 3 The rule for a sequence of numbers is ‘add 3’ each time. The sequence continues in the same way.
Circle the numbers that are not in the sequence. 22 28 33 40 4 A sequence has the first term 2020 and the term-to-term rule is ‘add 11’. Write the first five terms of the sequence. , , , , 5 Write the next four terms in these linear sequences.