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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: contact@mentaribooks.comwww.mentarigroups.com
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: contact@mentaribooks.com
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
2Chapt rChapterChapter
Order Of Operations Practice 1 Order Of Operations 36 Practice 2 Word Problems (1) 47 Practice 3 Word Problems (2) 51
3Chapt rChapterChapter
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
6Chapt rChapterChapter
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
7Chapt rChapterChapter
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
5Chapt rChapterChapter
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
9Negative NumbersChapter 1
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
10 Negative NumbersChapter 1
–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
11Negative NumbersChapter 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
12 Negative NumbersChapter 1
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
13Negative NumbersChapter 1
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
14 Negative NumbersChapter 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
15Negative NumbersChapter 1
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
–
16 Negative NumbersChapter 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
17Negative NumbersChapter 1
–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?
18 Negative NumbersChapter 1
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
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