CARIBBEAN PRImARy mATHEmATICS Workbook 5 - Macmillan ...
CARIBBEAN PRImARy mATHEmATICS Workbook 5 - Macmillan ...
CARIBBEAN PRImARy mATHEmATICS Workbook 5 - Macmillan ...
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<strong>CARIBBEAN</strong> Primary MATHEMATICS<br />
Second edition<br />
<strong>Workbook</strong> 5<br />
Laurie Sealy and Sandra Moore<br />
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<strong>Macmillan</strong> Education<br />
Between Towns Road, Oxford OX4 3PP<br />
A division of <strong>Macmillan</strong> Publishers Limited<br />
Companies and representatives throughout the world<br />
ISBN 978-230-401228<br />
Text © Laurie Sealy and Sandra Moore 2012<br />
Design and illustration © copyright <strong>Macmillan</strong> Publishers Limited 2012<br />
First published 2005<br />
This edition 2012<br />
All rights reserved; no part of this publication may be reproduced, stored<br />
in a retrieval system, transmitted in any form, or by any means, electronic,<br />
mechanical, photocopying, recording, or otherwise, without the prior<br />
written permission of the publishers.<br />
Designed by Oxford Designers and Illustrators<br />
Typeset by Orchard Publishing, South Africa<br />
Illustrated by Oxford Designers and Illustrators, Clive Goodyer and Tek-Art<br />
Cover design by Oxford Designers and Illustrators<br />
Printed and bound in Malaysia<br />
2016 2015 2014 2013 2012<br />
10 9 8 7 6 5 4 3 2 1<br />
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Contents<br />
<br />
Unit 1: Number<br />
1–4 Place value 5<br />
5–7 Value 7<br />
8–9 Expanded form 8<br />
10–11 Expanded numbers with<br />
regrouping9<br />
12 More expanded numbers with<br />
regrouping10<br />
13 Forming numbers 10<br />
Unit 2: Patterns, sequence and order<br />
1–3 Counting and ordering 11<br />
4–5 Patterns 12<br />
6 Revision 13<br />
Unit 3: Operations: addition and<br />
subtraction<br />
1 Pre-check 14<br />
2 Rounding number and money 14<br />
3 Addition practice 15<br />
4 Addition with regrouping 15<br />
5 Adding large numbers 16<br />
6 Subtracting large numbers 16<br />
7–8 Regrouping with zeros 17<br />
9 Adding and subtracting money 18<br />
10 Subtraction practice 18<br />
Unit 4: Decimals<br />
1–2 Place value: tenths 19<br />
3–4 Place value: hundredths 20<br />
5 Rounding decimals 21<br />
6–7 Value 21<br />
8 Ordering and comparing decimals 22<br />
9 Rounding money 22<br />
10 Adding and subtracting decimals 22<br />
11 Problem solving 23<br />
Unit 5: Multiplication<br />
1 Check 24<br />
2 Arrays 24<br />
3 Square numbers / Square roots 26<br />
4 Multiplying 2-digit numbers 26<br />
5 Multiplying 3-digit numbers 27<br />
6–7 Multiplying large numbers 27<br />
8 Multiples of 10 28<br />
9 Multiplying by 2-digit numbers 28<br />
10 Problem solving 29<br />
Unit 6: Division<br />
1 Factors 31<br />
2 Prime numbers 31<br />
3 Divisibility 31<br />
4 Basic division 32<br />
5 Using opposites: multiplying<br />
and dividing32<br />
6 Division speed tests 33<br />
7 Division with remainders 33<br />
8 Dividing larger numbers 34<br />
9 Division using zeros 35<br />
10 Using long division and zeros 36<br />
11 Division with money 36<br />
12 Dividing by 2-digit numbers 37<br />
13 Understanding remainders 38<br />
<br />
Unit 7: Fractions<br />
1 Least (Lowest) Common Multiple 39<br />
2 Greatest Common Factor (GCF) /<br />
Highest Common Factor (HCF) 39<br />
3 Fraction of a set 39<br />
4 Decimals and fractions 40<br />
5 Equivalent fractions 40<br />
6 Simplifying 41<br />
7 Estimating 41<br />
8 Improper fractions and mixed<br />
numbers41<br />
9 Comparing fractions 42<br />
10 Simple fraction addition 42<br />
11 Fractions subtracted from whole<br />
numbers42<br />
12 Whole numbers subtracted from<br />
mixed numbers 43<br />
13 Mixed numbers subtracted from<br />
whole numbers 43<br />
14 Subtracting fractions with the<br />
same denominator 43<br />
15 Subtracting fractions with unlike<br />
denominators 43<br />
16 Estimating and problem solving 43<br />
17 Adding mixed numbers 44<br />
18 Subtracting mixed numbers 44<br />
19 Strategies for problem solving 45<br />
20 Practice with fractions 45<br />
Unit 8: Geometry<br />
1 Lines 46<br />
2 Angles 46<br />
3 Measurement of angle 47<br />
4 Triangles 47<br />
5 Flat shapes (2D) 48<br />
6 Describing movement 49<br />
7 Circles 49<br />
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8 Lines of symmetry 50<br />
9 Solid (3D) shapes 51<br />
10 Nets of solid shapes 52<br />
11 Enrichment: Coordinates on a grid52<br />
12 Perimeter: review 53<br />
13 Perimeter problem solving 53<br />
14 Review of area 54<br />
15 Calculating area 54<br />
16 More area problems 55<br />
17 Right-angled triangles 56<br />
18 Volume 57<br />
19 Enrichment: Paths and borders,<br />
compound shapes 58<br />
Unit 9: More decimals<br />
1 Multiplying a decimal number by<br />
a whole number 59<br />
2 Multiplying decimal numbers by<br />
decimal numbers 59<br />
3 Problem solving 60<br />
4 Dividing decimal numbers by<br />
a whole number 60<br />
5 Adding zeros to the dividend 61<br />
6 Problem solving: dividing decimal<br />
numbers61<br />
7 Multiplying and dividing decimals<br />
by 10, 100, 1000 62<br />
8 Metric conversions 62<br />
9 Metric conversions with decimal<br />
numbers62<br />
Unit 10: Measurement<br />
1 Length 63<br />
2 Longer lengths 63<br />
3–5 Working with units of length 63<br />
6–7 Practice with longer units<br />
of length 64<br />
8 Mass 65<br />
9 Converting between units of mass 65<br />
10–11 Capacity 66<br />
12 Converting between units of<br />
capacity66<br />
Unit 11: More fractions<br />
1 Multiplying fractions 67<br />
2 Multiplying fractions and whole<br />
numbers / mixed numbers 67<br />
3 Cancelling 67<br />
4 Sketching strategy for problem<br />
solving68<br />
5 Dividing fractions 69<br />
6–7 Multiplying and dividing fractions<br />
practice69<br />
Unit 12: Percent, ratio and proportion<br />
1 Writing percents 71<br />
2–3 Percents and decimals 71<br />
4–5 Percent, decimals, fractions 72<br />
6 Finding a percent of an amount 72<br />
7 Changing fractions to percents 73<br />
8 Practice 73<br />
9 Discount 74<br />
10 Discount problem solving 75<br />
11 Wages and salaries problem<br />
solving75<br />
12 Simple interest problem solving 76<br />
13 Ratio 76<br />
14 Simplifying ratios 76<br />
15 Proportion 77<br />
16 Ratio problem solving 78<br />
17 Practical use of proportion 78<br />
18 Working with scale 79<br />
19 Ratio/percent/fraction problem<br />
solving80<br />
20 Mixed problem solving 81<br />
Unit 13: Measurement: time<br />
1–2 Units of time 82<br />
3 Enrichment: 24-hour clock 83<br />
4 Elapsed time 83<br />
5 Calculating time 83<br />
6 Practising elapsed time 84<br />
7 Practice 84<br />
Unit 14: Data, statistics and probability<br />
1 Finding the mean 85<br />
2 Working with the total 85<br />
3 Bar graphs 86<br />
4 Circle graphs / interpreting data 87<br />
5 Probability 88<br />
6 Venn diagrams 89<br />
Review 190<br />
Review 291<br />
Review 392<br />
Review 493<br />
Review 594<br />
Review 695<br />
Review 796<br />
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Unit 1: Number<br />
1 Place value (Use with 1.1 A)<br />
Write the following as number words.<br />
1 40 _____________________________________________________________<br />
2 7000 _____________________________________________________________<br />
3 300000 _____________________________________________________________<br />
4 800 _____________________________________________________________<br />
5 200000 _____________________________________________________________<br />
6 50000 _____________________________________________________________<br />
7 2700 _____________________________________________________________<br />
8 59000 _____________________________________________________________<br />
9 260000 _____________________________________________________________<br />
10 1000000 _____________________________________________________________<br />
2 Place value (Use with 1.1 B)<br />
Write the place value of the underlined digit.<br />
1 64 _____________________________________________________________<br />
2 240 _____________________________________________________________<br />
3 2380 _____________________________________________________________<br />
4 3400 _____________________________________________________________<br />
5 27408 _____________________________________________________________<br />
6 720 _____________________________________________________________<br />
7 31005 _____________________________________________________________<br />
8 73963 _____________________________________________________________<br />
9 335008 _____________________________________________________________<br />
10 907030 _____________________________________________________________<br />
Unit 1: Number 5<br />
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3 Place value (Use with 1.1 C)<br />
Fill in the missing numbers.<br />
1 234 ___ hundreds ___ tens ___ ones<br />
2 2068 ___ thousands ___ hundreds ___ tens ___ ones<br />
3 3704 ___ thousands ___ hundreds ___ tens ___ ones<br />
4 55421 ___ ten thousands ___ thousands ___ hundreds ___ tens ___ ones<br />
5 6470 ___ thousands ___ hundreds ___ tens ___ ones<br />
6 27308 ___ ten thousands ___ thousands ___ hundreds ___ tens ___ ones<br />
7 1810 ___ thousands ___ hundreds ___ tens ___ ones<br />
8 6654 ___ thousands ___ hundreds ___ tens ___ ones<br />
9 90740 ___ ten thousands ___ thousands ___ hundreds ___ tens ___ ones<br />
10 62875 ___ ten thousands ___ thousands ___ hundreds ___ tens ___ ones<br />
Challenge<br />
Write the place value of each digit.<br />
a 2 567 300 __________________________________________________________<br />
b<br />
2 004 560 220 __________________________________________________________<br />
4 Place value (Use with 1.1 D)<br />
Write the following using numerals.<br />
1 sixty-three ______________<br />
2 seven hundred and four ______________<br />
3 two thousand, two hundred ______________<br />
4 four thousand, nine hundred and twenty ______________<br />
5 fourteen thousand ______________<br />
6 six hundred and thirteen ______________<br />
7 one thousand and ten ______________<br />
8 eighty-five thousand ______________<br />
9 thirty-five thousand, nine hundred and ninety-two ______________<br />
6<br />
10 seven hundred and eighty-six thousand, one hundred and two ______________<br />
Unit 1: Number<br />
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Challenge<br />
a What whole number comes after 111111? ______________<br />
b What whole number comes before 1000000? ______________<br />
c What whole number comes before 2000000? ______________<br />
5 Value (Use with 1.2 A)<br />
Write the value of the underlined digit.<br />
1 623 ______________<br />
2 4070 ______________<br />
3 310 ______________<br />
4 1004 ______________<br />
5 14500 ______________<br />
6 2940 ______________<br />
7 24720 ______________<br />
8 15300 ______________<br />
9 6941 ______________<br />
10 68005 ______________<br />
6 Value (Use after 1.2 A)<br />
Write the value of the underlined digit.<br />
1 342 ______________<br />
2 7500 ______________<br />
3 58002 ______________<br />
4 600325 ______________<br />
5 33330 ______________<br />
6 335000 ______________<br />
7 56920 ______________<br />
8 224800 ______________<br />
9 56500 ______________<br />
10 990427 ______________<br />
7 Value (Use with 1.2 B)<br />
Write the value of each digit.<br />
Example 7032 = 7000 + 30 + 2<br />
1 264 = _____________________________________________________________<br />
2 32 = _____________________________________________________________<br />
Unit 1: Number 7<br />
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3 9044 = _____________________________________________________________<br />
4 290 = _____________________________________________________________<br />
5 71423 = _____________________________________________________________<br />
6 9070 = _____________________________________________________________<br />
7 324 = _____________________________________________________________<br />
8 92958 = _____________________________________________________________<br />
9 750361 = _____________________________________________________________<br />
10 206603 = _____________________________________________________________<br />
8 Expanded form (Use with 1.3 A)<br />
Write the following in expanded form.<br />
1 1628 = _____________________________________________________________<br />
2 89754 = _____________________________________________________________<br />
3 468 = _____________________________________________________________<br />
4 31890 = _____________________________________________________________<br />
5 44320 = _____________________________________________________________<br />
6 3650 = _____________________________________________________________<br />
7 40760 = _____________________________________________________________<br />
8 52004 = _____________________________________________________________<br />
9 29660 = _____________________________________________________________<br />
10 70074 = _____________________________________________________________<br />
Challenge<br />
Write the number.<br />
a 4000000 + 40000 + 400 + 4 = ______________<br />
b 2000000000 + 20000000 + 200000 + 2000 + 20 = ______________<br />
8<br />
Unit 1: Number<br />
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9 Expanded form (Use with 1.3 B)<br />
Change these numbers from expanded form to standard form.<br />
1 2000 + 300 + 10 + 8 = ___________<br />
2 400 + 70 + 9 = ___________<br />
3 6000 + 200 + 90 + 3 = ___________<br />
4 40000 + 1000 + 500 + 6 = ___________<br />
5 30000 + 9000 + 40 = ___________<br />
6 60000 + 300 = ___________<br />
7 7000 + 500 + 80 = ___________<br />
8 200 + 3 = ___________<br />
9 5000 + 60 = ___________<br />
10 90000 + 7000 + 20 = ___________<br />
10 Expanded numbers with regrouping (Use with 1.3 C)<br />
Fill in the missing numbers to make each expanded form correct.<br />
1 675 = _______ hundreds + 7 tens + 5 ones<br />
2 572 = _______ hundreds + 17 tens + 2 ones<br />
3 984 = 9 hundreds + 7 tens + _______ ones<br />
4 3328 = 3 thousands + _______ hundreds + 12 tens + 8 ones<br />
5 97002 = 9 ten thousands + 6 thousands + _______ hundreds + 2 ones<br />
6 5249 = _______ thousands + 12 hundreds + 4 tens + 9 ones<br />
7 7553 = 7 thousands + 5 hundreds + _______ tens + 3 ones<br />
8 14709 = 1 ten thousand + 4 thousands + _______ ones<br />
9 46500 = _______ thousands + 5 hundreds<br />
10 305290 = _______ ten thousands + 5 thousands + 2 hundreds + 9 ones<br />
11 Expanded numbers with regrouping (Use with 1.3 D)<br />
Write the number.<br />
1 300 + 40 + 50000 + 8000 = ______________<br />
2 9 + 20000 + 600 = ______________<br />
3 40 + 9000 + 6 = ______________<br />
4 10000 + 200 + 3 + 6000 + 10 = ______________<br />
5 7000 + 6 + 200 + 50 = ______________<br />
Unit 1: Number 9<br />
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12 More expanded numbers with regrouping (Use with 1.4 A and 1.4 B)<br />
Write the standard form. (Hint: In questions 1, 6 and 9, underline each group of<br />
numbers between the plus signs to make them easier.)<br />
1 5 × 10 000 + 1 × 1000 + 4 × 100 = ______________<br />
2 60 000 + 400 = ______________<br />
3 (5 × 10 000) + (7 × 100) + (3 × 10) + (9 × 1) = ______________<br />
4 40 000 + 1 = ______________<br />
5 (9 × 1000) + (6 × 10) = ______________<br />
6 7 × 1000 + 8 × 10 + 4 × 1 = ______________<br />
7 300 000 + 10 000 + 4000 + 200 + 30 = ______________<br />
8 (7 × 10 000) + (4 × 1000) = ______________<br />
9 2 × 100 000 + 4 × 10 000 + 6 × 10 + 5 × 1 = ______________<br />
10 800 000 + 6000 + 500 + 20 + 5 = ______________<br />
13 Forming numbers (Use with 1.5)<br />
For each question, use all these four numbers. 7, 3, 6, 4<br />
1 Make the greatest possible number. ______________<br />
2 Make the smallest possible number. ______________<br />
3 Make the largest odd number. ______________<br />
4 Make the largest even number. ______________<br />
5 Make the smallest odd number. ______________<br />
6 Make the smallest even number. ______________<br />
For each question, use all these four numbers. 8, 1, 2, 9<br />
7 Make the largest odd number. ________________________<br />
8 Make the smallest even number. ________________________<br />
9 Make the smallest odd number. ________________________<br />
10 Make the largest even number. ________________________<br />
10<br />
Unit 1: Number<br />
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