New Maths Championnature without the prior written permission of Marshall Cavendish Education Pte Ltd. New Maths Champion Workbook 6 Aligned with Indonesian syllabus (Kurikulum 2013)

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]

Singapore Methodology with 100% alignment to the Indonesian

syllabus (Kurikulum 2013)

Dr Fong Ho Kheong • Gan Kee Soon • Chelvi Ramakrishnan

© 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

E-mail: [email protected]

Website: www.mentarigroups.com

First published 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 6

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.

37Order Of OperationsChapter 3

Find the value of each of the following. Write down each step.

9 × 6 ÷ 2 = 25 × 3 ÷ 5 =

Step 1: Step 1:

Step 2: Step 2:

200 ÷ 10 × 3 ÷ 5 = 250 ÷ 5 ÷ 10 × 2 =

Step 1: Step 1:

Step 2: Step 2:

Step 3: Step 3:

3

a b

c d

Find the value of each of the following. State the order of operations.

Order

30 × 2 × 5 = × ×

6 × 10 ÷ 5 =

28 ÷ 7 × 4 =

40 ÷ 8 ÷ 5 =

20 ÷ 10 × 8 ÷ 2 =

120 ÷ 12 ÷ 2 × 16 =

4

a

b

c

d

e

f 36 Order Of OperationsChapter 3

3 Order Of Operations

Order Of Operations1Practice

Find the value of each of the following. State the order of operations.

Order

12 + 14 + 9 = + +

60 + 18 – 7 =

26 – 12 + 7 =

70 – 15 – 49 =

23 + 16 – 7 + 12 =

15 – 12 + 17 – 6 =

2

a

b

c

d

e

f

Find the value of each of the following. Write down each step.

18 – 11 – 4 = 26 + 8 – 19 =

Step 1: Step 1:

Step 2: Step 2:

12 + 16 – 9 + 3 = 58 – 23 + 11 – 6 =

Step 1: Step 1:

Step 2: Step 2:

Step 3: Step 3:

1

a b

c d

18 – 11 = 7

154 Revision 2

The maths test scores of 20 students in Primary 6D is shown below.

The maximum score for the test is 10.

6 8 6 5 7

6 8 7 8 9

7 6 6 9 5

7 6 5 8 9

Complete the table below based on the above data.

What is the mean score of the maths test?

What is the mode score of the maths test?

23

Test score Number of students

5

6

7

8

9

a

b

c

144 Revision 2

2Section AChoose the correct answer for each question.

Write its number in the brackets provided.

1 Find the circumference of the circle. (Take π = 3.14)

(1) 3.14 cm (2) 6.28 cm

(3) 31.4 cm (4) 62.8 cm ( )

10 cm

2

3

The net of a solid is made up of a circle and and a sector of a circle.

What is the solid?

(1) A sphere (2) A cone

(3) A cylinder (4) A prism ( )

Identify the solid shown below.

(1) Prism (2) Pyramid

(3) Cuboid (4) Cube ( )

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.

ContentsNegative Numbers

Practice 1 Understanding Negative Numbers 7 Practice 2 Addition Involving Negative Numbers 10 Practice 3 Subtraction Involving Negative Numbers 13 Practice 4 Multiplication Involving Negative Numbers 15 Practice 5 Division Involving Negative Numbers 17

1Chapt rChapterChapter

Fractions* Practice 1 Four Operations With Fractions 19 Practice 2 Dividing By A Proper Fraction 21 Practice 3 Word Problems 29


Order Of Operations Practice 1 Order Of Operations 36 Practice 2 Word Problems (1) 47 Practice 3 Word Problems (2) 51


3.3 Menjelaskan dan melakukan operasi hitung campuran yang melibatkan bilangan cacah, pecahan dan/atau desimal dalam berbagai bentuk sesuai urutan operasi

4.3 Menyelesaikan masalah yang berkaitan operasi hitung campuran yang melibatkan bilangan cacah, pecahan dan/atau desimal dalam berbagai bentuk sesuai urutan operasi

Circles Practice 1 Parts Of A Circle 54 Practice 2 Circumference Of A Circle 58 Practice 3 Perimeter Of A Semicircle And A Quadrant 62 Practice 4 Area Of A Circle 68

4Chapt rChapterChapter3.4 Menjelaskan titik pusat, jari-jari, diameter, busur, tali busur, tembereng, dan juring

3.5 Menjelaskan taksiran keliling dan luas lingkaran

4.4 Mengidentifikasi titik pusat, jari-jari, diameter, busur, tali busur, tembereng, dan juring

4.5 Menaksir keliling dan luas lingkaran serta menggunakannya untuk menyelesaikan masalah

3.1 Menjelaskan bilangan bulat negatif (termasuk menggunakan garis bilangan)

3.2 Menjelaskan dan melakukan operasi penjumlahan, pengurangan, perkalian, dan pembagian yang melibatkan bilangan bulat negatif

4.1 Menggunakan konsep bilangan bulat negatif (termasuk menggunakan garis bilangan) untuk menyatakan situasi sehari-hari

4.2 Menyelesaikan masalah yang berkaitan dengan operasi penjumlahan, pengurangan, perkalian, dan pembagian yang melibatkan bilangan bulat negatif dalam kehidupan sehari-hari

Kompetensi Dasar

Kompetensi Dasar

Kompetensi Dasar

Revision 1 78

3.6 Membandingkan prisma, tabung, limas, kerucut, dan bola

3.7 Menjelaskan bangun ruang yang merupakan gabungan dari beberapa bangun ruang, serta luas permukaan dan volumenya

4.6 Mengidentifikasi prisma, tabung, limas, kerucut, dan bola

4.7 Mengidentifikasi bangun ruang yang merupakan gabungan dari beberapa bangun ruang, serta luas permukaan dan volumenya

3.8 Menjelaskan dan membandingkan modus, median, dan mean dari data tunggal untuk menentukan nilai mana yang paling tepat mewakili data

4.8 Menyelesaikan masalah yang berkaitan dengan modus, median dan mean dari data tunggal dalam penyelesaian masalah

Surface Area And Volume Of Solids Practice 1 Solids 100 Practice 2 Nets Of Solids 104 Practice 3 Surface Area Of Solids 111 Practice 4A Volume Of Solids 114 Practice 4B Volume Of Solids 120 Practice 5 Volume Of Composite Solids 122


Mean, Median And Mode

Practice 1 Understanding Mean Or Average 127 Practice 2 Word Problems 133 Practice 3 Understanding Median 138 Practice 4 Understanding Mode 141


Kompetensi Dasar

Kompetensi Dasar

Area And Perimeter * Practice 1A Area And Perimeter Of Composite Figures 89 Practice 1B Area And Perimeter Of Composite Figures 91 Practice 1C Area And Perimeter Of Composite Figures 95


Revision 2 144

7Negative NumbersChapter 1

Look at the number line and fill in the boxes and blanks.

Which is greater, –9 or 3?

_______________ is greater than _______________.

Which is greater, –14 or 14?

_______________ is greater than _______________.

1

Write in numbers.

negative thirty–seven ____________

negative twelve ____________

negative ten ____________

negative three hundred and fifty ____________

Negative Numbers

Understanding Negative Numbers1Practice

a

b

a

b

c

d

1

2

200-20

100-10

3-9

8 Negative NumbersChapter 1

Which is smaller, –28 or –75?

_______________ is smaller than _______________.

c

Circle the smallest and underline the greatest numbers.

–25 –86 12 0

–6 –57 –70 –19

Arrange the numbers in increasing order.

27 , –17 , 37 , –7 , –70

_____________________________________________________

–68 , –8 , –60 , 0 , –16

_____________________________________________________

4

5

Compare. Fill in the blanks with > or <.

18 ___ 80 20 ___ –13

25 ___ –45 –39 ___ –57

–16 ___ –10 –71 ___ 0

38 ___ –50 64 ___ –64

3

a b

c d

e f

g h

a

a

b

b

1000-100


Arrange the numbers in decreasing order.

–52 , –20 , 520 , 0 , –25

_____________________________________________________

–13 , –301 , –130 , 30 , –3

_____________________________________________________

On the number line below, A represents –8 and C represents 22.

What numbers does B represent?

6

7

a

b

A B C


–5 + (–6) = _____

So, –5 + (–6) = _____ .

2

-1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1 -1

-1 -1 -1 -1 -1

Addition Involving Negative Numbers2Practice

–3 + 9 = ____

So, –3 + 9 = ____ .

1

-1 -1 -1

1 1 1 1 1 1 1 1 1

1 1 1 1 1 1


Find the missing number in each number sentence.

9 + (–6) = ___ 2 + ___ = –5

___ + (–1) = –15 –4 + ___ = 8

___ + 7 = 7 ___ + 5 = –2

–8 + ___ = –3 ___ + (–13) = –19

4

a b

c d

e f

g h

Add.

What is Indonesia’s national bird? Write the letters which match the answers

to find out.

____ A ____ A ____ ____ A ____ ____ - ____ A ____ ____ ____

3

18 + (–9) = ___ –3 + 3 = ___ 14 + (–20) = ___

–6 + (–7) = ___ 0 + (–12) = ___ –10 + 13 = ___

15 + (–8) = ___ 7 + (–6) = ___ –5 + 4 = ___

–4 + 2 = ___ 5 + (–8) = ___ –4 + (–6) = ___

H L J

G K E

V G E

N W O

–6 7 9–2 –3 –12 –1 1 0 3


Add.

X and Y are different numbers between –10 to 10.

Find the largest possible sum of X and Y.

Find the largest possible sum of X and Y if they have different signs.

Find the smallest sum of X and Y if they have different signs.

Find the smallest possible sum of X and Y.

5

6

53 + (–12) = _____ –45 + 78 = _____

0 + (–62) = _____ –33 + (–25) = _____

18 + (–89) = _____ –71 + 59 = _____

–144 + (–208) = _____ –157 + 157 = _____

a b

c d

e f

g h

a

b

c

d


Subtraction Involving Negative Numbers3Practice

Fill in the blanks.

the negative of 17 = ____ the negative of (–9) = ____

the negative of 35 = ____ the negative of (–16) = ____

1

a b

c d

5 – 7 = _____

So, 5 – 7 = ___ .

2

1 1 1 1 1

the negative of – 1 1 1 1 1 1 1

1 1 1 1 1

-1 -1 -1 -1 -1 -1 -1

1 1 1 1 1

-1 -1 -1 -1 -1 -1 -1

-1 -1


Subtract.

–5 – 7 = _____ + _____ –6 – 3 = _____ + _____

= _____ = _____

4 – (–5) = _____ + _____ –8 – (–4) = _____ + _____

= _____ = _____

–2 – (–10) = _____ + _____ –9 – (–9) = _____ + _____

= _____ = _____

3

a b

c d

e f

Subtract.

28 – 74 = _____ 38 – (–31) = _____

–45 – (–12) = _____ –51 – (–85) = _____

0 – (–69) = _____ –72 – (–104) = _____

208 – (–156) = _____ –219 – 219 = _____

–504 – (–504) = _____ 906 – 2189 = _____

4

a b

c d

e f

g h

i j


Multiplication Involving Negative Numbers4Practice

6 × (–3) = _____

6 × (–3) is the same as 6 groups of (–3).

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

6 × (–3) = ______ + ______ + ______ + ______ + ______ + ______

= ______

1

–5 × (–2) = _____

–5 × (–2) is the same as the negative of 5 groups of (–2).

–5 × (–2) = – ( ______ + ______ + ______ + ______ + ______ )

= – ( ______ )

= _______

2

-1 -1 -1 -1

-1 -1

-1 -1

-1 -1

–


Multiply.

7 × (–6) = ____ 5 × (–10) = ____

–13 × 4 = ____ –8 × (–12) = ____

–20 × (–18) = ____ –32 × 11 = ____

25 × (–48) = ____ –33 × (–51) = ____

–3 × 2102 = _____ –18 × (–457) = ____

3

a b

c d

e f

g h

i j

Find the missing number in each number sentence.

–7 × (–4) = ____ 5 × ____ = –30

____ × (–2) = –18 –8 × ____ = 8

6 ×____ = 0 9 × ____ = –72

____ × –1 = –20 –30 × ____ = –150

____ × -70 = 350 8 × ____ = –1000

4

a b

c d

e f

g h

i j


–36 ÷ 4 = ____

So, –36 ÷ 4 = ____ .

–24 ÷ (–3) = ____

So, –24 ÷ (–3) = ____ .

1

2

Division Involving Negative Numbers5Practice

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

-1 -1 -1

Divide –36 into 4 equal groups.

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

How many (–3)s are there in –24?


Divide by relating division to multiplication.

–18 ÷ 9 = ____ –30 ÷ (–3) = ____

25 ÷ (–5) = ____ –42 ÷ 7 = ____

–13 ÷ (–1) = ____ 48 ÷ (–4) = ____

52 ÷ (–2) = ____ –80 ÷ (–5) = ____

3

a b

c d

e f

g h

Divide.

96 ÷ (–3) = ____ –168 ÷ (–8) = ____

–4868 ÷ (–2) = ____ 4590 ÷ (–9) = ____

–3265 ÷ (–5) = ____ –5166 ÷ 7 = ____

3680 ÷ (–40) = ____ –5000 ÷ (–100) = ____

–6216 ÷ (–6) = ____ –6012 ÷ 9 = ____

4

a b

c d

e f

g h

i j

Documents

New Maths Championnature without the prior written permission of Marshall Cavendish Education Pte Ltd. New Maths Champion Workbook 6 Aligned with Indonesian syllabus (Kurikulum 2013)