Cambridge Primary Mathematics Packed with activities, including counting, matching and estimating, these workbooks help your students practise what they have learnt. Specific exercises develop thinking and working mathematically techniques. Focus, Practice and Challenge exercises provide clear progression through each topic, helping learners see what they’ve achieved. Ideal for use in the classroom or for homework.
• Activities take an active learning approach to help learners apply their knowledge to new contexts • Three-tiered exercises in every unit get progressively more challenging to help students see and track their own learning • Varied activity types keep learners interested • Write-in for ease of use • Answers for all activities can be found in the accompanying teacher’s resource
PL E
CAMBRIDGE
Primary Mathematics Workbook 1
For more information on how to access and use your digital resource, please see inside front cover.
resources for the Cambridge Primary Maths curriculum framework (0096) from 2020
✓ H as passed Cambridge International’s rigorous quality-assurance process
✓ Developed by subject experts ✓ For Cambridge schools worldwide
Completely Cambridge Cambridge University Press works with Cambridge Assessment International Education and experienced authors to produce high-quality endorsed textbooks and digital resources that support Cambridge teachers and encourage Cambridge learners worldwide. To find out more visit cambridge.org/ cambridge-international
Registered Cambridge International Schools benefit from high-quality programmes, assessments and a wide range of support so that teachers can effectively deliver Cambridge Primary.
SA
✓ P rovides learner support as part of a set of
M
This resource is endorsed by Cambridge Assessment International Education
Cherri Moseley & Janet Rees
Visit www.cambridgeinternational.org/primary to find out more.
Second edition
Digital access
Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
LE
CAMBRIDGE
P
Primary Mathematics Workbook 1
S
A
M
Cherri Moseley & Janet Rees
Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
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
LE
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. www.cambridge.org Information on this title: www.cambridge.org/9781108746434 © Cambridge University Press 2021
First published 2014 Second edition 2021
P
This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press.
20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Printed in ‘country’ by ‘printer’
A catalogue record for this publication is available from the British Library
M
ISBN 978-1-108-74643-4 Paperback with Digital Access
Additional resources for this publication at www.cambridge.org/9781108746434
A
Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. Information regarding prices, travel timetables, and other factual information given in this work is correct at the time of first printing but Cambridge University Press does not guarantee the accuracy of such information thereafter.
S
NOTICE TO TEACHERS IN THE UK It is illegal to reproduce any part of this work in material form (including photocopying and electronic storage) except under the following circumstances: (i) where you are abiding by a licence granted to your school or institution by the Copyright Licensing Agency; (ii) where no such licence exists, or where you wish to exceed the terms of a licence, and you have gained the written permission of Cambridge University Press; (iii) where you are allowed to reproduce without permission under the provisions of Chapter 3 of the Copyright, Designs and Patents Act 1988, which covers, for example, the reproduction of short passages within certain types of educational anthology and reproduction for the purposes of setting examination questions.
Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
Contents
Contents 1.1 1.2 1.3 1.4 1.5
Numbers to 10
Counting sets of objects Say, read and write numbers to 10 Comparing numbers Number words Odd and even numbers
2 Geometry 2.1 3D shapes 2.2 2D shapes
M
3 Fractions
P
1
5
LE
How to use this book
3.1 Fractions
4 Measures 4.1 Length
A
5 Working with numbers to 10 5.1 Addition as combining 5.2 Subtraction as take away
S
6 Position 6.1 Position
7 Statistics 7.1 Sets 7.2 Venn diagrams
8 17 20 24 27
30 37 43 49 56 63 70 79 89
3 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
Contents
8 Time 8.1 Time
97
9 Numbers to 20
10 Geometry (2) 10.1 3D shapes 10.2 2D shapes
11 Fractions (2)
P
11.1 Halves
12 Measures (2)
12.1 Mass and capacity 12.2 How do we measure?
M
13 Working with numbers to 20
A
13.1 Addition by counting on 13.2 Subtraction by counting back 13.3 Using the number line 13.4 Money
14 Statistics (2)
14.1 Venn diagrams, Carroll diagrams and pictograms 14.2 Lists, tables and block graphs
15 Time (2)
S
105 108 118
LE
9.1 Counting to 20 9.2 Counting, comparing, ordering and estimating 9.3 Number patterns
15.1 Time
16 Position, direction and patterns 16.1 Position, direction and patterns
125 133 144 156 162 170 176 181 186 189 197 210 218
4 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
How to use this book
How to use this book
LE
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.
P
You might not need to work on all three parts of each exercise. You will also find these features:
Important words that you will use.
A
M
Step-by-step examples showing a way to solve a problem. There are often many different ways to solve a problem.
S
These questions will help you to develop your skills of thinking and working mathematically.
5 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
Thinking and Working Mathematically
LE
Thinking and Working Mathematically There are some important skills that you will develop as you learn mathematics.
P
Specialising is when I test examples to see if they fit a rule or pattern.
M
Characterising is when I explain how a group of things are the same.
S
A
Generalising is when I can explain and use a rule or pattern to find more examples. Classifying is when I put things into groups and can say what rule I have used.
6 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
Thinking and Working Mathematically
LE
Critiquing is when I think about what is good and what could be better in my work or someone else’s work.
P
Improving is when I try to make my maths better.
S
A
M
Conjecturing is when I think of an idea or question linked to my maths.
Convincing is when I explain my thinking to someone else, to help them understand. 7
Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1
Numbers to 10
1.1 Counting sets of objects
LE
Exercise 1.1
estimate
Focus
set
total
Count each set of animals. Say the numbers out loud.
S
A
M
P
1
how many
Talk to a partner or carer about how you counted each set of animals.
8 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.1 Counting sets of objects
2
Put 1 object in each space.
LE
Count them.
Put the same objects into different spaces. Count again. Did you count to the same number each time? Match each set to the correct number.
P
3
M
2
S
A
3 5 7
9 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
4
How many animals are there?
Estimate
P
Count
Count
S
A
M
Estimate
LE
Estimate then count.
10 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.1 Counting sets of objects
Practice 5
Draw the correct number of animals in the last two rows.
LE
1
2
3
P
4
6
A
7
M
5
S
8
9
10
11 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
6 Put 1 object in each space.
Count them.
LE
Put the same objects into different spaces. Count again.
Did you count to the same number each time?
7 Which domino has 7 spots?
Draw a ring around the correct domino.
P
Estimate then count.
Estimate
Count
S
A
M
8 How many animals are there?
12 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.1 Counting sets of objects
Count
LE
Estimate
Here are the domino patterns for 6, 7, 8 and 9.
S
A
9
M
Challenge
Count
P
Estimate
Design a domino pattern for 10.
13 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
Worked example 1
LE
Look at each of the sets below.
P
7
I see a set of 3 and a set of 4.
We are both correct. There are 7 stars, we just see different sets.
S
A
M
I see a set of 3 and two sets of 2.
14 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.1 Counting sets of objects
10 Look at each of the sets below. Can you see smaller sets inside each set?
LE
Draw a ring around the smaller sets you notice.
P
6
7
M
8
10
S
A
Talk to a partner or carer about what you see. Ask them what they see.
15 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
S
A
M
P
LE
11 Estimate then count.
Estimate
Estimate
Estimate
Estimate
Estimate
Estimate
Estimate
Count
Count
Count
Count
Count
Count
Count
16 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.2 Say, read and write numbers to 10
1.2 Say, read and write numbers to 10 Exercise 1.2 Focus 1
order
point
track
Say each number. Point to it on the number track. Start here
Finish here
2
3
4
5
6
7
8
9
10
P
1 2
count
LE
between
Colour the squares on this number track. Colour the 1, 4, 7 and 10 squares red.
M
Colour the 2, 5 and 8 squares green. Colour the 3, 6 and 9 squares blue. 1
3
4
5
6
7
8
9
5
6
7
8
9
10
Write the missing numbers.
A
3
2
2
3
4
S
Talk to a partner or carer about how you found the missing numbers. What did they do?
17 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
Practice 4 Count to 10.
Write the missing numbers. 1
3
5
2
4
7
9
LE
6
8
10
5 Where is the mistake in this number track? Circle it. 3
4
5
6
8
9
10
alk to a partner or carer about how you found the mistake. What did T they do?
M
2
P
1
5
7
9
6 Write the number that comes after.
S
A
3
18 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.2 Say, read and write numbers to 10
Challenge 7 What are the mistakes in this number track? Circle them. 1
7
3
5
6
2
8
9
10
4
10
8
3
P
LE
8 Write the number that comes before.
9 Write the missing numbers. 4
M
2
9
A
7
8
3
10
S
7
6
Talk to a partner or carer about how you found the missing numbers. Ask them what they did or would do.
19 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
1.3 Comparing numbers Exercise 1.3
compare
equal
fewer
more
same
1
Compare the sets.
LE
Focus
M
P
Tick ✓ the set that has fewer counters.
Talk to a partner or carer about how you know. Compare the dominoes.
A
2
S
Tick ✓ the domino that has more spots.
20 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.3 Comparing numbers
3
Compare the sets.
LE
Tick ✓ the sets that have the same number of objects.
4
P
Practice Compare the dominoes.
5
M
Draw a ring around the domino that has the most spots.
Compare the sets.
S
A
Draw a ring around the set that has fewer counters.
21 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
6 Compare the sets. Tick ✓ the sets that have an equal number of objects.
LE
7 Compare the sets. Complete the sentences.
There are
There are
A
M
P
There are more
are fewer
than than
so there .
S
8 Look at question 7.
How many more circles than stars?
How many fewer stars than circles?
9 Write a number that is greater than 9.
22 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.3 Comparing numbers
10 Write a number that is fewer than 7.
Talk to a partner or carer about how you answered questions 9 and 10.
Challenge
Complete the sentences.
5 is more than 4.
LE
11 Compare the sets.
is fewer than
 .
P
12 Compare the sets.
Complete the sentences.
9 is more than 7 and 8.
is fewer than
M
and
 .
13 Write a number that is more than 5 and fewer than 9. Talk to a partner or carer about how you chose your number.
A
14 Complete the sentences comparing 3 and 5. Use more, fewer, less or greater. 3 is
S
5 is
than 5. than 3.
23 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
1.4 Number words Exercise 1.4 Focus Draw a ring around the number word that matches the set.
LE
1
two
three
four
five
six
five
six
seven
eight
nine
ten
S
A
M
P
one
24 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.4 Number words
2 We write 0, zero if there are no objects. Draw a plate with zero biscuits on.
Practice
LE
3 Write the missing number words. 2
3
P
1
two 7
six
5
four
M
6
4
8
9
10
eight
9
nine
S
A
4 Look at this picture for 9.
Draw a picture like this for 7.
25 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
5 Complete the number word track. Look at page 20 for the number word spellings. zero
one
eight
LE
Challenge
6 Write the missing number words.
Talk to a partner or carer about how you found the missing words.
P
7 Number word puzzles.
Complete the number words. v
n
M
s
A
v
f
r
n
S
w
e
o
26 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.5 Odd and even numbers
1.5 Odd and even numbers Exercise 1.5
even
odd
pair
pattern
Focus
LE
Look at the gloves.
A
M
P
1
How many gloves are there? Is that an odd or even number?
odd / even
S
How do you know?
27 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1 Numbers to 10
2
Look at the socks. How many socks are there? Is that an odd or even number? odd / even
LE
How do you know?
Practice Odd or even?
P
3
Draw a ring around the correct word.
M
4
5
odd / even
6
7
odd / even
odd / even
A
odd / even
Talk to a partner or carer about how you know if a number is odd or even. Ask them what they know about odd and even. Draw a ring around the correct word in each sentence.
S
4
9 is an odd / even number. 10 is an odd / even number. Use some cubes to check. Were you correct?
28 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
1.5 Odd and even numbers
5 Draw an odd number of socks on the ten frame. Make it easy to see that there is an odd number of socks.
LE
Challenge
6 How can you describe an odd number?
P
How can you describe an even number?
M
Are there any numbers that are odd and even?
Why?
A
S
7 Zero is an even number but you cannot put 0 cubes into twos.
Why is 0 an even number?
29 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2
Geometry
Exercise 2.1
3D
Focus 1
LE
2.1 3D shapes cube
cylinder
edge
face
sphere
Draw a ring around the correct label.
curved / flat surface
M
P
face / edge
face / edge
A
Worked example 1
S
Will each shape roll?
30 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2.1 3D shapes
Continued will not roll
LE
will roll
2
M
P
Does it have only flat faces? A flat face won’t roll but it will slide.
Draw a ring around the shapes that have only flat faces.
S
A
Choco Biscuits
Will each object roll? Draw lines to the correct circle.
will roll
will not roll
31 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2 Geometry
Practice Colour the spheres blue, the cubes yellow and the cylinders green.
S
A
M
P
LE
3
32 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2.1 3D shapes
M
P
LE
4
Colour the spheres
A
yellow.
Colour the cylinders
S
Colour the cubes
Draw a ring Draw a square
blue. green.
around the curved edges. around the at faces.
33 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2 Geometry
Use 3D shapes to build a house. Write how many of each shape you used. I used
6
cubes,
spheres and
cylinders.
Write the missing words. Choose words from the cloud.
edges
A sphere has a
LE
5
curved
faces
P
surface.
A cylinder has a curved surface and 2
faces.
do not roll.
M
Shapes with flat
flat
.
S
A
A cube has 12
34 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2.1 3D shapes
Challenge Write the name of the shape that each object looks like.
LE
7
sphere
cylinder
Draw a ring around the shapes in each row that are not the same shape as the one in the box.
S
A
8
M
P
cube
35 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2 Geometry
9
Are these sentences true or false? Draw a happy face for true and a sad face for false. True
False
A cube has 8 faces.
LE
A cylinder has 4 edges.
A sphere has 3 straight edges. A sphere has no flat faces.
P
A cylinder has a curved surface. A cube has 5 flat faces.
M
A cylinder has 2 flat faces.
S
A
All 3D shapes are flat.
36 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2.2 2D shapes
2.2 2D shapes Exercise 2.2
2D circle curved side square straight triangle
Focus
Draw a ring around the shapes that have curved sides.
LE
1
How many shapes have curves?
P
How many shapes do not have curves?
M
How many shapes have only straight sides?
How many shapes have straight sides and curves? 2
Look at the house.
A
Write the names of the shapes you can see. c
s
tr
S
How many triangles? How many squares? How many circles?
How many rectangles? 37 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2 Geometry
Draw a ring around all the 3D shapes.
S
A
M
P
LE
3
38 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2.2 2D shapes
Practice to help the children get home.
along the way.
S
A
M
P
Colour the
LE
4 Follow the
39 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2 Geometry
Colour the triangles green.
Colour the squares blue.
How many circles?
How many triangles?
How many squares?
M
P
LE
5 Colour the circles red.
A
6 Name these shapes.
S
7 Write the number of sides for each shape.
sphere
triangle
square
rectangle
40 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2.2 2D shapes
8
What shape am I? I have 4 straight sides. The sides are all the same length. I am a
.
two sides. I am a
LE
I have 4 straight sides. Two of the sides are longer than the other .
I have one curved side. I am a
.
I have three straight sides. The sides are all the same length. I am a
.
S
A
M
P
I have edges and faces. I am a 2D / 3D shape.
41 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
2 Geometry
Challenge 9 Some shapes fit together with no spaces. Use 5 squares and make 2 different patterns.
Fit the squares together in your pattern. Sketch your pattern.
S
A
M
P
LE
42 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
3
Fractions
Exercise 3.1
LE
3.1 Fractions equal
Focus Colour half of each shape.
2
This shape has two halves.
half
pair
part
P
1
fraction
M
This shape does not have two halves.
S
A
Draw 2 shapes that have two halves.
43 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
3 Fractions
Draw 2 shapes that do not have two halves.
LE
M
P
3 Draw the other half of this tree.
4 This shows one half of a square coloured in.
A
How else could you cut a square in half? Colour in half of each square below using a different way.
S
44 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
3.1 Fractions
Practice 5 Sofia bought 2 pizzas. She cut each pizza into 2 pieces.
Marcus took the biggest piece.
Draw a ring around the piece Marcus took.
Draw a ring around the correct answer.
Marcus took: half a pizza / more than half a pizza / less than half a pizza.
M
P
LE
S
A
6 Draw a ring around the picture in each row that shows two equal parts.
45 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
3 Fractions
7 Draw a ring around the part you would choose in each pair. Explain your choices to a parent or carer.  
LE
M
P
A
8 Has each shape been cut in half?
Draw a ring around yes or no.
S
yes / no
yes / no
yes / no
yes / no
46 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
3.1 Fractions
9 Draw a line on each shape to cut it in half. Colour half of each shape.
LE
10 Draw the other half of each shape.
P
11 Draw the other half of each picture.
A
M
12 Draw your own picture. Make sure both halves are the same.
S
47 Original material © Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
3 Fractions
Challenge
P
14 Colour half of this shape.
LE
13 Draw lines to cut each shape in half in a different way.
A
M
15 How many different ways can you halve a triangle?
S
16 How many different ways are there to halve a square?
Have you found all the ways?
I think there are 4 ways.
48 Original material Š Cambridge University Press 2020. This material is not final and is subject to further changes prior to publication.
