New Maths Champion · terbesar (FPB), kelipatan persekutuan, dan kelipatan persekutuan terkecil (KPK) dari dua bilangan berkaitan dengan kehidupan sehari-hari 3.3 Menjelaskan dan

New Maths Champion is an updated edition of the successful Singapore primary maths series Maths Champion, with 100% alignment to the latest Indonesian syllabus (Kurikulum 2013). Drawing from extensive research and feedback from educators and students, this series strengthens mathematical conceptual understanding to meet the needs of educators and students.

The Workbook complements the Textbook and uses a variety of questions and word problems for reinforcement, testing and consolidation of concepts.

Practice reinforces essential mathematical concepts, skills and problem-solving strategies.

Revision integrates topics, concepts and strands to provide complete consolidation.

New Maths Champion comprises• Textbook• Workbook• Teacher’s Guide

ISBN 978-981-01-6889-6

Exclusive distributor:

081314387121email: [email protected] Dr Fong Ho Kheong • Chelvi Ramakrishnan • Gan Kee Soon

Singapore Methodology with 100% alignment to the Indonesian

syllabus (Kurikulum 2013)

© 2011 Marshall Cavendish International (Singapore) Private Limited

© 2014 Marshall Cavendish Education Pte Ltd.

This English edition is licensed to Mentari Books.

Exclusively distributed in Indonesia by:

MENTARI BOOKS

Rukan Sentra Niaga Puri Indah

Block T1 – 14, Puri Indah

West Jakarta 11610

Tel: (021) 5890 1900

: 0855 888 1948

Fax: (021) 5890 0818

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Website: www.mentarigroups.com

First published 2012

Second edition 2018

First reprinted 2019

All rights reserved.

© 2018, Marshall Cavendish Education Pte Ltd. This English edition licensed to

Mentari Books. All rights reserved. No part of this publication may be reproduced or

transmitted in any form or by any means, or stored in any retrieval system of any

nature without the prior written permission of Marshall Cavendish Education Pte Ltd.

New Maths Champion Workbook 4

Aligned with Indonesian syllabus (Kurikulum 2013)

Preface

is specially designed to meet the requirements of Kurikulum 2013 for Primary 1 to

Primary 6 in Indonesia. The topic coverage in each level is arranged to address all the basic

competencies (Kompetensi Dasar) of the level prescribed in the syllabus. This series uses

the Singapore approach to teaching mathematics, which is internationally recognised as one

of the best in the world.

uses Concrete-Pictorial-Abstract (CPA) approach, which is proven to be a very

effective method. The content development of each topic matches the child’s developmental

age and is carefully designed in spiral progression. Extra contents marked with (*) are

added to maintain this spiral progression.

The Workbook complements the Textbook and uses a variety of questions and word

problems for reinforcement, testing and consolidation of concepts.

commits to nurture young Indonesians to be efficient problem solvers who are

competent to face the changing world in the future.

Be a maths champion!

The well-structured

questions in each Practice

serve to reinforce the

concepts, skills and

problem-solving strategies

and help to test students’

understanding.

Each Revision integrates topics and concepts to provide complete consolidation of the contents covered.

58 Fractions (1)Chapter 4

Find the missing numerators or denominators.

16

= 12

17

= 2

45

= 10

35

= 6

23

= 12

34

= 12

Andi is good at fractions!

He can write more than one fraction.

Helphimfindthemissingnumeratorsanddenominators.

Tofindanequivalentfraction,multiply the numerator and the denominator by the same number!

a

c

e

b

d

f

3

4

14

= 8

= 3

3

= 612

= 24

25

= 6

= 12

27

= 14

= 21

a

c

b

d 57Fractions (1)Chapter 4

Write the missing numerators, denominators and fractions.

is equivalent to 1—2

2

=

2

21—2

is equivalent to 2—3

3

=

3

92—3

x

x

x

x

.

.

Find the missing numerators and denominators.

13

= 1 x 43 x 4 =

16

= 1 x 26 x 2 =

45

= 4 x 25 x 2 =

34

= 3 x 34 x 3 =

More Equivalent Fractions: Short Cut3Practice

1

a

b

a

c

b

d

2

123Revision 1

Thefigurebelowismadeupof 10similarsquares.Whichof thefollowing

showsthepercentageof theareaof thefigurethatisshaded?

(1) 70% (2) 30%

(3) 3% (4) 7% ( )

Whatisthefirstcommonmultipleof 12and8?

(1) 22 (2) 24

(3) 36 (4) 48 ( )

Section B

Readthequestionscarefully.Writeyouranswersinthespaceprovided.

Giveyouranswersinthecorrectunits.

Writefortythousandandsixteeninnumerals.

Answer:_________

Arrangethefollowingnumbersinorder.Beginwiththesmallest.

6407, 19 999, 6047, 20 005

Answer:_________________________________________________

Whatisacommonfactorof 24and15?

Answer:_________

Findthesumof 4059and8672.Thenroundoff theanswertothenearest100.

Answer:_________

15

16

17

18

19

14

121Revision 1

Choose the correct answer for each question.

Write its number in the brackets provided.

1000 more than 37 568 is .

(1) 36 568 (2) 37 468

(3) 37 668 (4) 38 568 ( )

The value of 13 thousands 4 tens and 8 ones is .

(1) 1348 (2) 10 348

(3) 13 048 (4) 13 480 ( )

In the number 83 415, the digit 3 is in the place and its value is .

(1) ten thousands, 3000 (2) thousands, 30 000

(3) thousands, 3000 (4) hundreds, 300 ( )

Round off 415 to the nearest 100 and then multiply the answer by 6.

(1) 400 (2) 420

(3) 2400 (4) 2490 ( )

Whatisthesumof thefirsttwomultiplesof 6?

(1) 3 (2) 6

(3) 12 (4) 18 ( )

Divide 5613 by 7. The remainder is .

(1) 1 (2) 6

(3) 18 (4) 81 ( )

Section A

1

2

3

4

5

6

1

Using This Book

This book has some special features. Find out what they are for and use them to help you learn as you use this book.

Kompetensi Dasar

Kompetensi Dasar

3.4 Menjelaskan faktor dan kelipatan suatu bilangan

3.5 Menjelaskan bilangan prima

3.6 Menjelaskan dan menentukan faktor persekutuan, faktor persekutuan terbesar (FPB), kelipatan persekutuan, dan kelipatan persekutuan terkecil (KPK) dari dua bilangan berkaitan dengan kehidupan sehari-hari

4.4 Mengidentifikasi faktor dan kelipatan suatu bilangan

4.5 Mengidentifikasi bilangan prima

4.6 Menyelesaikan masalah yang berkaitan dengan faktor persekutuan, faktor persekutuan terbesar (FPB), kelipatan persekutuan, dan kelipatan persekutuan terkecil (KPK) dari dua bilangan berkaitan dengan kehidupan sehari-hari

3.3 Menjelaskan dan melakukan penaksiran dari jumlah, selisih, hasil kali, dan hasil bagi dua bilangan cacah maupun pecahan dan desimal

4.3 Menyelesaikan masalah penaksiran dari jumlah, selisih, hasil kali, dan hasil bagi dua bilangan cacah maupun pecahan dan desimal

Whole Numbers (1)

Contents

1Chapt rChapterChapter


3Chapt rChapterChapter Factors And Multiples

Whole Numbers (2)

Practice 1 Factors 40 Practice 2 Multiples 42 Practice 3 Prime Numbers 44 Practice 4 Finding The Highest Common Factor (HCF)

By Prime Factorisation 47 Practice 5 Finding The Lowest Common Multiple (LCM)

By Prime Factorisation 50

Practice 1 Multiplication By A 1-Digit Number 25 Practice 2 Multiplication By A 2-Digit Number 28 Practice 3 Division By A 1-Digit Number 32 Practice 4 Word Problems 36

Practice 1 Numbers To 100 000* 9 Practice 2 Place Value* 11 Practice 3 Comparing Numbers Within 100 000* 13 Practice 4 Rounding Off Numbers To The Nearest Ten 15 Practice 5 Rounding Off Numbers To The Nearest

Hundred 19 Practice 6 Estimation 23

Kompetensi Dasar

3.2 Menjelaskan berbagai bentuk pecahan (biasa, campuran, desimal, dan persen) dan hubungan di antaranya

3.3 Menjelaskan dan melakukan penaksiran dari jumlah, selisih, hasil kali, dan hasil bagi dua bilangan cacah maupun pecahan dan desimal

3.7 Menjelaskan dan melakukan pembulatan hasil pengukuran panjang dan berat ke satuan terdekat

4.2 Mengidentifikasi berbagai bentuk pecahan (biasa, campuran, desimal, dan persen) dan hubungan di antaranya

4.3 Menyelesaikan masalah penaksiran dari jumlah, selisih, hasil kali, dan hasil bagi dua bilangan cacah maupun pecahan dan desimal

4.7 Menyelesaikan masalah pembulatan hasil pengukuran panjang dan berat ke satuan terdekat

3.1 Menjelaskan pecahan-pecahan senilai dengan gambar dan model konkret

4.1 Mengidentifikasi pecahan-pecahan senilai dengan gambar dan model konkret

Kompetensi Dasar





Fractions (1)

Fractions (2)

Decimals

Percentage

Practice 1 Numerator And Denominator 53 Practice 2 Understanding Equivalent Fractions 55 Practice 3 More Equivalent Fractions: Short Cut 57 Practice 4 Comparing And Ordering Fractions 61

Practice 1 Mixed Numbers 65 Practice 2 Improper Fractions 71 Practice 3 Conversion Of Fractions 75 Practice 4 Fraction Of A Set 79 Practice 5 Word Problems 83 Practice 6 Rounding Off And Estimation Of Fractions 86

Practice 1 Understanding Tenths 89 Practice 2 Understanding Hundredths 93 Practice 3 Understanding Thousandths 97 Practice 4A Comparing Decimals 101 Practice 4B Comparing Decimals 105 Practice 5 Fractions And Decimals 107 Practice 6 Rounding Off Decimals 109 Practice 7 Rounding Off The Measurement Of Length

And Mass 115 Practice 8 Estimation Of Decimals 117

Practice 1 Per Cent 119

Revision 1 123

Kompetensi Dasar

Kompetensi Dasar

3.12 Menjelaskan dan menentukan ukuran sudut pada bangun datar dalam satuan baku dengan menggunakan busur derajat

4.12 Mengukur sudut pada bangun datar dalam satuan baku dengan menggunakan busur derajat

3.10 Menjelaskan hubungan antar garis (sejajar, berpotongan, berhimpit) menggunakan model konkret

4.10 Mengidentifikasi hubungan antar garis (sejajar, berpotongan, berhimpit) menggunakan model konkret



Angles

Lines And Angles

Practice 1 Naming Angles 130 Practice 2 Measuring Angles 131 Practice 3 Drawing Angles To 1800 134 Practice 4 8-point Compass* 138

Practice 1 Perpendicular Lines 140 Practice 2 Parallel Lines 146 Practice 3 Angles On A Straight Line 152 Practice 4 Angles At A Point 156 Practice 5 Vertically Opposite Angles 160

Kompetensi Dasar

3.8 Menganalisis sifat-sifat segibanyak beraturan dan segibanyak tidak beraturan

4.8 Mengidentifikasi segibanyak beraturan dan segibanyak tidak beraturan

10Chapt rChapterChapter Polygons Practice 1 Polygons 165 Practice 2A Angels Of A Triangle* 167 Practice 2B Right-angled Triangles* 169 Practice 2C Isosceles Triangles* 171 Practice 2D Equilateral Triangles* 173 Practice 3A Squares, Rectangles, And Parallelograms* 176 Practice 3B Rhombuses* 179 Practice 3C Trapeziums* 181

Kompetensi Dasar

Kompetensi Dasar

3.9 Menjelaskan dan menentukan keliling dan luas persegi, persegi panjang, dan segitiga serta hubungan pangkat dua dengan akar pangkat dua

4.9 Menyelesaikan masalah berkaitan dengan keliling dan luas persegi, persegipanjang, dan segitiga termasuk melibatkan pangkat dua dengan akar pangkat dua

3.11 Menjelaskan data diri peserta didik dan lingkungannya yang disajikan dalam bentuk diagram batang

4.11 Mengumpulkan data diri peserta didik dan lingkungannya dan menyajikan dalam bentuk diagram batang

11Chapt rChapterChapter Area And Perimeter Practice 1 Square Centimetres (cm2) 183 Practice 2 Square Metres (m2) 185 Practice 3 Area Of A Rectangle And A Square 187 Practice 4 Perimeter And Area 193 Practice 5 More Area Of A Rectangle And A Square 197 Practice 6 More Perimeter Of A Rectangle And A Square 199 Practice 7 Base And Height Of A Triangle 201 Practice 8 Finding The Area Of A Triangle 203 Practice 9 Composite Figures 207 Practice 10 Word Problems 212

12Chapt rChapterChapter Bar Graphs Practice 1 Making Bar Graphs With Scales 217 Practice 2 Reading And Interpreting Bar Graphs 224

Revision 2 228

9Whole Numbers (1)Chapter 1

1 Whole Numbers (1)

Numbers To 100 000*1Practice

Write the numbers in numerals.

seventy-two thousand, four hundred and sixty

seventy thousand, eight hundred and twenty-three

sixty-two thousand, four hundred and eighteen

ninety-seven thousand and four hundred

thirty thousand and eleven

Write the numbers in words.

56 548

12 021

70 009

40 807

Count on and fill in the blanks.

81 000, 82 000, 83 000, ,

30 000, 40 000, 50 000, ,

10 000, 15 000, 20 000, ,

1

2

3

a

c

b

d

a

c

a

e

b

d

b

c

10 Whole Numbers (1)Chapter 1

Fill in the blanks with the missing words and digits for each number.

Example

thousand, five and twelve 251 two hundred

sixty-one thousand and 1001

twenty-four , three hundred and ten 243 0

forty-five thousand, hundred and six 4 206

thirty-six thousand, one hundred and 36 89

Make a 5-digit number using all the cards shown for each of the following.

Do not start with the digit ‘0’.

5 7 2 0 9

An odd number:

An even number:

A number with zero in the hundreds place:

A number beginning with the greatest digit:

A number with 2 in the tens place and 5 in the ones place:

A number ending with 7:

2

4

5

a

a

c

c

b

b

d

d

f

e


In 71 486,

the digit 7 is in the place.





What do the digits in 65 239 stand for?

The digit 6 stands for .





Place Value*2Practice

1

2

The value of the digit 1 is 100. The digit 4 is in the hundreds place.

The value of the digit 5 is 50. The digit 2 is in the ten thousands place.

The value of the digit 3 is 3. The digit 9 is in the tens place.

The value of the digit 4 is 40 000. The digit 0 is in the ones place.

The value of the digit 2 is 2000. The digit 5 is in the thousands place.

The number is . The number is .

Form the numbers using the clues below.3

a

a

c

c

b

b

d

d

e

e


In 52 814,

the digit 4 stands for ones.


the digit in the ten thousands place is .

the value of the digit 8 is .

the digit is in the thousands place and its value is .

Fill in the blanks.

72 439 = 7 ten thousands + thousands +

4 hundreds + 3 tens + 9 ones

99 088 = 9 ten thousands + 9 thousands +

hundreds + 88 ones

Fill in the blanks.

36 427 = 30 000 + + 400 + 20 + 7

17 503 = 10 000 + 7000 + + 3

45 080 = 45 000 +

20 000 + 6000 + 20 + 5 =

5 60 + 80 000 =

4

a

c

b

d

b

e

a

5

6

a

c

e

b

d


Circle the greater number. Circle the smaller number.

(i) 63 809 36 908 (i) 86 415 86 591

(ii) 45 638 8594 (ii) 60 960 69 999

Look at all the eight numbers above.

Which is the greatest number?

Which is the smallest number?

Arrange these numbers in order.

Begin with the smallest: 97 136, 79 631, 96 137

Begin with the greatest: 80 000, 9469, 81 074

Complete the number patterns.

12 540, 12 550, , , 12 580

39 860, , 41 860, , 43 860

, 10 349, 10 849, , , 12 349

Comparing Numbers Within 100 000*3Practice

1

2

3

a

a

a

c

b

b

b


(i) 1 step 24 000 (ii) 3 steps

For each of the following, use the number line in a and count

backwards in steps of 3000 from 50 000.

Then write the number that you land on.

(i) 6 steps (ii) 8 steps

Complete the number patterns.

39 580, 49 580, 59 580, ,

96 500, 86 500, 76 500, ,

25 000, 20 000, 15 000, ,

7500, 8500, 9500, ,

93 308, 94 313, 95 318, ,

Fill in the blanks.

10 000 more than 56 821 is .

is 50 000 less than 79 895.

is 3000 more than 48 200.

2000 less than 18 563 is .

For each of the following, use the number line below and count

forward in steps of 4000 from 20 000. Then write the number that

you land on. The first one has been done for you.

| I I I I I I I l l | I I I I I I I l l | I I I I I I I l l |20 000 30 000 40 000 50 000

4

5

6

b

d

a

a

b

c

1 landed on 24 000

after 1 step.

a

c

e

b

d

32 000


Use the number line to answer Question 1 .

Mark each of the following numbers with a cross (x) on the number line

above.

48 35 26

Round off each number to the nearest ten. Next, circle it on the number

line above. Then fill in the blanks in the statements below.

Example

12 is nearer to than to .

It is rounded off to the nearest ten.

12 is when rounded off to the nearest ten.






10 20

10

12

10 20 30 40 50 60

Rounding Off Numbers To The Nearest Ten4Practice

1

10 20

…

a

c

b


2500 2510

For each of the following, look at the digits in the tens place.

Then fill in the blanks.

Example

37 falls between and .

86 86 falls between and .




30 40

Mark each number in the table with a cross (x) on the number line.

Round off each number to the nearest ten and circle it on the number line.

Then fill in the last column of the table.

Number line Write using ≈

Example 315

87

769

1996

2501

310 315 320

80 90

760 770

1990 2000

315 ≈ 320

Number

2

3

a

c

b

d

a

c

b

d


Complete the table below.

NumberRounded off to

the nearest tenWrite using ≈

80 78 ≈ 80

15

34

217

697

1995

3728

Round off each number to the nearest ten.

Look at the letter and the digit in the tens place of each of your answers

above. Then match the letters to the digits below.

You will find the name of the second largest city in Indonesia.

The name of the city is

. 1 5 9 2 9 4 9

Example78

S

4518 ≈ B 6285 ≈ A

9014 ≈ U 3003 ≈ I

8549 ≈ R 45 137 ≈ Y

16 032 ≈ S 17 563 ≈ G

4

5

a

c

e

b

d

f


In a to c , the amounts given are rounded off to the nearest ten.

For each, find the greatest and smallest values of the amount before it

was rounded off.

Use the number line if necessary – you will need to put in the values on

the number line first before marking out the possible numbers.

Example

Daniel bought about 280 cm of rope.

The greatest length of rope he could have bought is .

The smallest length of rope he could have bought is .

A pond collects about 390 ø of water in a week.

The greatest amount the pond could have collected is ø.

The smallest amount the pond could have collected is ø.

Intan runs about 750 m in half an hour.

The greastest distance she could have run is m.

The smallest distance she could have run is m.

Citra buys a chicken with a mass of 1830 g.

The greatest mass of chicken she could have bought is g.

The smallest mass of chicken she could have bought is g.

380 385 390 395

740 745 750 755

1820 1825 1830 1835

270 275 280 285

275 cm

284 cm

6

a

b

c


Use the number line to answer Question 1 .

Mark each of the following numbers with an arrow ( ) on the number line

above.

845 728 950 611 872

Round off each number to the nearest hundred. Next, circle it on the

number line above. Then fill in the blanks in the statements below.

Example


570 is when rounded off to the nearest hundred.

600 500

600

500 600 700 800 900 1000







Rounding Off Numbers To The Nearest Hundred5Practice

500 600

a

b

c

1

570


Fill in the boxes on the number line. Mark each number in the table with

a cross (x) on the number line. Round off each number to the nearest

hundred and circle it on the number line.

Then fill in the last column of the table.

For each of the following, look at the digits in the hundreds place.

Then fill in the blanks.

Example







300 400

Number Number line Write using ≈

400 450 500

300

Example450

330

450 ≈ 500

a

c

e

a

b

d

2

3


NumberRounded off to

the nearest hundredWrite using ≈

a 309

b 614

c 993

d 5008

e 6801

f 9712

g 7958


1600

2200

Number Number line Write using ≈

185

2204

1540

200

b

c

d

4


Find the greatest and smallest values for each of the following amounts

that are rounded off to the nearest hundred.

Example

A school has about 6500 pupils.

The greatest number of pupils could have been .

The smallest number of pupils could have been .

A lift carried about 900 kg of mass.

The greatest mass it could have carried is kg.

The smallest mass it could have carried is kg.

There are about 1800 kinds of beetles in the world.

The greatest number of beetles could be .

The smallest number of beetles could be .

Evi drove about 2300 km last month.

The greatest distance she could have driven is km.

The smallest distance she could have driven is km.


65496450

6

5

a

b

c

NumberRounded off to the nearest

ten hundred

a 96

b 219

c 494

d 6145

e 8892

f 9956


Round off each number to the nearest ten or hundred.

Then estimate the value of each of the following.

Example

763 + 36 ≈ +

=

238 + 98 ≈ +

=

846 – 94 ≈ –

=

8781 + 349 ≈ +

=

7259 – 972 ≈ –

=

Round off the first number to the nearest ten or hundred.

Then estimate the value of each of the following.

Example

64 x 6 ≈ x 6

=

41 x 8 ≈ x 8

=

638 x 4 ≈ x 4

=

800 40

840

60

360

Rounded off to the nearest

64 ≈ 60 ten

Rounded off to the nearest

763 ≈ 800

36 ≈ 40

hundred

ten

Estimation6Practice

1

2

a

b

a

b

c

d


Nadia orders 96 strawberry cupcakes.


She then orders 215 chocolate cupcakes.


Next, she orders 247 coffee cupcakes.


Finally, she orders 385 vanilla cupcakes.


The estimated order is cupcakes.

Does the store have enough cupcakes to meet Nadia’s order?

Estimate.

92 ÷ 9 ≈ ÷ 9

=

1975 ÷ 5 ≈ ÷ 5

=

A shop had 1000 cupcakes. Nadia orders the following flavours.

Round off the number of each flavour to the nearest hundred and

estimate the total order.

3

4

a

a

b

c

d

b

Documents

New Maths Champion · terbesar (FPB), kelipatan persekutuan, dan kelipatan persekutuan terkecil (KPK) dari dua bilangan berkaitan dengan kehidupan sehari-hari 3.3 Menjelaskan dan