Mahir PBD KSSR Year 6 - Maths

PBD

Subject / Year 4 5 6 WRC496932 PELANGI

Bahasa Melayu
English
Matematik
Pentaksiran Year Mathematics
PBD Bilik Darjah 6 Sains

Science

SEMAKAN Sejarah
KSSR Pendidikan Islam Pentaksiran
Pelajaran Jawi PBD
Pendidikan Jasmani dan
Pendidikan Kesihatan PBD Bilik Darjah
Mathematics



The PBD series is specifically published to assist pupils excel in Pentaksiran Year
Bilik Darjah (PBD). Therefore, the contents of this series incorporate quality practices and
evaluations as well as complement assessment requirements outlined by Malaysia’s
Ministry of Education. 6
The contents of this series are designed and written based on the Dokumen Standard
Kurikulum dan Pentaksiran (DSKP) and the latest textbook. All practices in this series are Mathematics Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
systematically arranged with extra features provided to help pupils master the lessons.

Elements such as Higher Order Thinking Skills (HOTS), Pembelajaran Abad Ke-21 (PAK-21) • PBD Worksheets SEMAKAN
and i-THINK are integrated where necessary to enhance pupils’ understanding of the KSSR
syllabus and the elements. • Based on DSKP and Textbook
Digital initiatives such as Online Quick Quiz, Info and HOTS are also included to enable
teaching and learning to be more interactive and interesting. • Smart Revision

• PAK-21 Activity

• Summative Assessment
Mathematics
• Complete Answers
Year 6




Leow Yong Wei
www.PelangiBooks.com

• Kedai Buku Online • Perpustakaan Online •
✔ PdPR-friendly ✔ Google Classroom-friendly

W.M: RM9.35 / E.M: RM9.65 Extra!
WRC496932 ?
ISBN: 978-967-2779-80-3
Digital Materials INFO HOTS ONLINE QUICK QUIZ

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01.indd 1 28/02/2022 8:51 AM

CONTENTS








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Rekod Pencapaian Pentaksiran Murid iii – iv

UNIT 1 Whole Numbers and Operations 1


Online Quick Quiz QR code 26

UNIT 2 Fractions, Decimals and Percentages 28

Online Quick Quiz QR code 49

UNIT 3 Money 51

Online Quick Quiz QR code 72

UNIT 4 Time 74

Online Quick Quiz QR code 83

UNIT 5 Measurement 85

Online Quick Quiz QR code 94

UNIT 6 Space 96

Online Quick Quiz QR code 107

UNIT 7 Coordinates, Ratio and Proportion 109


Online Quick Quiz QR code 120

UNIT 8 Data Handling and Likelihood 122

Online Quick Quiz QR code 131

Year-End Assessment 133 – 148


Answers A1 – A8










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00a Cont Mahir PBD MM Y6 (2022)_pii.indd 2 01/03/2022 2:28 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages Date:
2 Theme: Numbers and Operations

Fractions, Decimals and


Percentages


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SMART RevisiON


1. Divide any fractions for two numbers involving proper fractions, whole numbers and mixed
numbers.
5
1
4
2
11pt (a) 4 ÷ 2 = ÷ 2 (b) 1 ÷ = × Alternative
1
= 5 5 1 change ÷ to × 3 5 3 2 Butterfly method
2
2
4
5
_____________ = × 1 invert the divisor = 1 2 1 × 5
10 pt 5 2 1 6 ÷ = 3 × 2
3
5
1 2 simplify the
= = = 5
2
_____________ 5 fraction 6
8 pt
= – 1
2
1
9
5
4
4
3
(c) 1 ÷ 3 = ÷ convert mixed (d) 2 ÷ = × 5
5 5 1 number to 2 5 2 4
9 3 1 improper fraction 25 convert improper
= × = fraction to mixed
5 3 1 8 number
1
= 3 = 3 3
5 8 8 25
– 24
1
3
7
2
1
(e) 2 ÷ 1 = ÷ 7 (f) 4 ÷ = 4 × 7
3 5 3 5 7 3
7 1 5 4 × 7
= × = whole number × numerator
3 7 1 3
= 5 1 = 28 9
3 3 5 3 3 28
2 – 3 1 – 27
= 1 2 = 9 1
3 3





© Penerbitan Pelangi Sdn. Bhd. 28






02 Mahir Math Yr6 (2022).indd 28 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

2. Convert any decimals to percentage of more than 100% and vice versa.

(a) Convert 3.1 to percentage. (b) Convert 245% to decimal.
Method 1: Method 1:
3.1 = (3.1 × 100)% 245% = 245
= (3.1 0 × 100)% 100
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= 310% = 245 ÷ 100

= 2.45
Method 2:
3.1 = 3 1 Method 2:
10 245% = 1 00 + 1 00 + 45
2
= 1 31 × 100 % 100 100 100
10
= (31 × 10)% = 2 + (45 ÷ 100)
= 310% = 2.45



3. Determine the values for percentage up to more than 100% from the quantity in decimals and vice
versa.


(a) 70% × 2.4 = 70 × 2.4 (b) 365% × 8.7 = 365 × 8.7
100 100
= 0.7 × 2.4 = 3.65 × 8.7
= 1.68 = 31.755

2
. 4 1 decimal place . 6 5 2 decimal places
3
× 0 . 7 1 decimal place × 8 . 7 1 decimal place
1 6 8 2 5 5 5
+ 0 0 0 + 2 9 2 0 0
1 . 6 8 2 decimal places 3 1 . 7 5 5 3 decimal places

0.5 5 2.55 25.5 5.1
(c) × 100% = × 100% (d) × 100% = × 100%
0.8 8 0.5 5
= 62.5% = 5.1 × 100%
Move the decimal = 510%
point. The number
of movement for
the upper and
lower number is
the same.










INFO




29 © Penerbitan Pelangi Sdn. Bhd.






02 Mahir Math Yr6 (2022).indd 29 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages


PBD MODULE ›› DSKP Practice


2.1 Fractions Textbook 61 – 67
11pt Performance Level (PL) Achieved Not yet achieved
1
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= PL 2: Explain steps in solving number sentences of basic operations and
2
_____________ mixed operations, with and without brackets.
10 pt PL 3: Solve basic operations and mixed operations number sentences
1 and justify answer.
=
2
_____________ 1. Solve the following divisions. LS 2.1.1 PL 2 PL 3
8 pt
= – 1
2 1 2 3
(a) ÷ 2 (b) ÷ 4 (c) ÷ 6
2 3 4
3
1
2
= × 1 = × 1 = × 1
2 2 3 4 4 6
= 1 = 2 = 3
4 12 24
= 1 = 1
6 8



1 2 1 2 3 1
(d) ÷ (e) ÷ (f ) ÷
4 5 9 3 8 4
1
1
3
= × 5 = × 3 = × 4
4 2 9 2 8 1
= 5 = 3 = 12
8 18 8
1 1
= = 1
6 2


2 2 1
(g) 1 ÷ 3 (h) 4 ÷ 5 (i) 9 ÷ 7
3 7 3
5
= × 1 = 30 × 1 = 28 × 1
3 3 7 5 3 7
= 5 = 30 = 28
9 35 21
6 1
= = 1
7 3





Teacher’s Signature: Date:


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02 Mahir Math Yr6 (2022).indd 30 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 2: Explain steps in solving number sentences of basic operations and
mixed operations, with and without brackets.
PL 3: Solve basic operations and mixed operations number sentences
and justify answer.

2. Solve the following divisions. LS 2.1.1 PL 2 PL 3
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3
2
(a) 8 ÷ (b) 9 ÷ (c) 10 ÷ 1 3
4 3 5
4 3 8
= 8 × = 9 × = 10 ÷
3 2 5
= 32 = 27 = 10 × 5
3 2 8

= 10 2 = 13 1 = 50
3 2 8
1
= 6
4

2
1
5
(d) 3 ÷ 2 (e) 1 ÷ 5 (f ) 7 ÷ 1
9 3 6 9 3 6
29 2 11 5 22 1
= ÷ = ÷ = ÷
9 3 6 9 3 6
= 29 × 3 = 11 × 9 = 22 × 6
9 2 6 5 3 1

= 87 = 99 = 132
18 30 3
5 3 = 44
= 4 = 3
6 10


1
2
(g) 5 ÷ 1 1 (h) 6 ÷ 1 5 (i) 4 9 ÷ 2 4
2 4 3 6 10 5
11 5 20 1 1 49 14
= ÷ = ÷ = ÷
2 4 3 6 10 5
= 11 × 4 = 20 × 6 = 49 × 5
2 5 3 1 1 10 14
= 44 = 120 = 245
10 33 140
2 7 3
= 4 = 3 = 1
5 1 1 4




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02 Mahir Math Yr6 (2022).indd 31 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

2.2 Decimals Textbook 68 – 72


Performance Level (PL) Achieved Not yet achieved
PL 2: Explain steps in solving number sentences of basic operations and
mixed operations, with and without brackets.
PL 3: Solve basic operations and mixed operations number sentences
and justify answer.
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3. Solve the following multiplications. LS 2.2.1 PL 2 PL 3

(a) 0.8 × 1.4 (b) 1.2 × 3.5 (c) 4.7 × 2.1
= 1.12 = 4.2 = 9.87

0 . 8 1 . 2 4 . 7
× 1 . 4 × 3 . 5 × 2 . 1
3 2 6 0 4 7
+ 8 0 + 3 6 0 + 9 4 0
1 . 1 2 4 . 2 0 9 . 8 7






(d) 6.8 × 4.7 (e) 0.19 × 1.4 (f ) 2.6 × 3.17
= 31.96 = 0.266 = 8.242

6 . 8 0 . 1 9 3 . 1 7
× 4 . 7 × 1 . 4 × 2 . 6
4 7 6 0 7 6 1 9 0 2
+ 2 7 2 0 + 1 9 0 + 6 3 4 0
3 1 . 9 6 0 . 2 6 6 8 . 2 4 2






(g) 4.08 × 8.4 (h) 10.85 × 5.2 (i) 3.45 × 1.84
= 34.272 = 56.42 = 6.348

4 . 0 8 1 0 . 8 5 3 . 4 5
× 8 . 4 × 5 . 2 × 1 . 8 4
1 6 3 2 2 1 7 0 1 3 8 0
+ 3 2 6 4 0 + 5 4 2 5 0 2 7 6 0 0
3 4 . 2 7 2 5 6 . 4 2 0 + 3 4 5 0 0
6 . 3 4 8 0







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02 Mahir Math Yr6 (2022).indd 32 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 2: Explain steps in solving number sentences of basic operations and
mixed operations, with and without brackets.
PL 3: Solve basic operations and mixed operations number sentences
and justify answer.

4. Solve the following divisions. LS 2.2.2 PL 2 PL 3
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(a) 2.7 ÷ 0.3 = (b) 1.12 ÷ 0.8 = (c) 1.674 ÷ 0.6 =

2.7 ÷ 0.3 1.12 ÷ 0.8 1.674 ÷ 0.6
2.79
= 27 ÷ 3 = 112 ÷ 80 = 16.74 ÷ 6

1.4
= 9 = 1.4 80 112.0 = 2.79 6 16.74
– 12

9 – 80 4.7
3 27 32.0 – 4.2
– 27 – 32.0 .54
0 .0 – .54
.00
(d) 0.979 ÷ 1.1 = (e) 1.815 ÷ 1.5 (f ) 16 ÷ 2.5 =
0.979 ÷ 1.1 1.815 ÷ 1.5 16 ÷ 2.5
0.89 1.21
= 9.79 ÷ 11 11 9.79 = 18.15 ÷ 15 15 18.15 = 160 ÷ 25
= 0.89 – 0 = 1.21 – 15 = 6.4 6.4

9.7 3.1 25 160.0
– 8.8 – 3.0 – 150
.99 .15 10.0
– .99 – .15 – 10.0
.00 .10 .0

(g) 0.084 ÷ 0.12 = (h) 1.656 ÷ 0.36 = (i) 4.41 ÷ 1.4 =
0.084 ÷ 0.12 1.656 ÷ 0.36 4.41 ÷ 1.4
3.15

= 8.4 ÷ 12 = 165.6 ÷ 36 = 44.1 ÷ 14 14 44.10
= 0.7 0.7 = 4.6 4.6 = 3.15 – 42
12 8.4 36 165.6 2.1
– 0 – 144 – 1.4
8.4 21.6 .70
– 8.4 – 21.6 – .70
.0 .0 .00


Tips
To divide a decimal number by a decimal number follow these 2 steps:
1 Convert the divisor to a whole number by moving the decimal point to the right.
2 Move the decimal point of the number divided by the number of movements in 1.



Teacher’s Signature: Date:


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02 Mahir Math Yr6 (2022).indd 33 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

2.3 Percentages Textbook 73 – 79


Performance Level (PL) Achieved Not yet achieved
PL 2: Convert decimals to percentages more than 100% and vice versa.


5. Convert the following decimals to percentages. LS 2.3.1 PL 2
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(a) 0.07 (b) 0.6 (c) 0.12
= (0.07 × 100)% = (0.6 × 100)% = (0.12 × 100)%

= 7% = 60% = 12%







(d) 1.09 (e) 3.4 (f ) 7.58
= (1.09 × 100)% = (3.4 × 100)% = (7.58 × 100)%

= 109% = 340% = 758%









6. Convert the following percentages to decimals. LS 2.3.1 PL 2

(a) 4% (b) 90% (c) 36%

= 4% ÷ 100% = 90% ÷ 100% = 36% ÷ 100%
= 0.04 = 0.9 = 0.36







(d) 208% (e) 710% (f ) 542%

= 208% ÷ 100% = 710% ÷ 100% = 542% ÷ 100%
= 2.08 = 7.1 = 5.42









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02 Mahir Math Yr6 (2022).indd 34 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 3: Solve basic operations and mixed operations number sentences
and justify answer.
7. Solve the following additions of percentage. LS 2.3.2 PL 3


(a) 5% + 4% (b) 12% + 6% (c) 37% + 21%
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= 9% = 18% = 58%










(d) 9% + 8% (e) 26% + 7% (f ) 43% + 29%
= 17% = 33% = 72%













8. Solve the following subtractions of percentage. LS 2.3.2 PL 3

(a) 9% − 2% (b) 17% − 3% (c) 48% − 14%
= 7% = 14% = 34%










(d) 10% − 6% (e) 60% – 29% (f ) 91% – 35%

= 4% = 31% = 56%













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02 Mahir Math Yr6 (2022).indd 35 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 3: Determine values of percentages more than 100% of a given
quantity in decimals and vice versa.

9. Determine the values for percentage from the quantities in decimal. LS 2.3.3 PL 3

(a) 10% × 1.6 (b) 25% × 7.6 (c) 110% × 0.3
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= 10 × 1.6 = 25 × 7.6 = 110 × 0.3
100 100 100
= 0.1 × 1.6 = 0.25 × 7.6 = 1.1 × 0.3
= 0.16 = 1.9 = 0.33




(d) 230% × 7.6 (e) 40% of 18.5 (f ) 500% of 18.5

= 230 × 7.6 = 40 × 18.5 = 500 × 18.5
100 100 100
= 2.3 × 7.6 = 0.4 × 18.5 = 5 × 18.5
= 17.48 = 7.4 = 92.5







10. Find the values of percentage for each of the following. LS 2.3.3 PL 3


(a) 0.2 × 100% (b) 1.2 × 100% (c) 1.2 × 100%
0.5 1.6 0.4
2
= × 100% = 12 × 100% = 12 × 100%
5 16 4
= 40% = 75% = 300%





(d) 3.6 × 100% (e) 0.9 of 1.5 (f ) 6.75 of 4.5
1.5 = 0.9 × 100% = 6.75 × 100%

= 36 × 100% 1.5 4.5
15 9 675
= × 100% = × 100%
= 240% 15 450
= 60% = 150%






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02 Mahir Math Yr6 (2022).indd 36 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

2.4 Mixed operations Textbook 80 – 91


Performance Level (PL) Achieved Not yet achieved
PL 2: Explain steps in solving number sentences of basic operations and
mixed operations, with and without brackets.
PL 3: Solve basic operations and mixed operations number sentences
and justify answer.
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11. Solve the following mixed operations. LS 2.4.1 PL 2 PL 3


1
2
(a) 3 + 1.8 − 2.47 = (b) 10 − 4 + 3.18 =
2 5
Lakukan operasi dari kiri ke kanan. Lakukan operasi dari kiri ke kanan.
1 2
3 + 1.8 − 2.47 10 – 4 + 3.18
2 5
= 3.5 + 1.8 – 2.47 = 10 – 4.4 + 3.18
= 5.3 – 2.47 = 5.6 + 3.18
= 2.83 = 8.78





3
(c) 9.1 − 5 + 2 = (d) 2 3 + 6.1 − 4.09 =
4 10
Lakukan operasi dari kiri ke kanan. Lakukan operasi dari kiri ke kanan.
3 3
9.1 – 5 + 2 2 + 6.1 − 4.09
4 10
= 9.1 – 5 + 2.75 = 2.3 + 6.1 – 4.09
= 4.1 + 2.75 = 8.4 – 4.09
= 6.85 = 4.31





1
1
(e) 4 + 8.79 − 1.06 = (f) 20 − 13 + 7.585 =
8 4
Lakukan operasi dari kiri ke kanan. Lakukan operasi dari kiri ke kanan.
1 1
4 + 8.79 − 1.06 20 – 13 + 7.585
8 4
= 4.125 + 8.79 – 1.06 = 20 – 13.25 + 7.585
= 12.915 – 1.06 = 6.75 + 7.585
= 11.855 = 14.335







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02 Mahir Math Yr6 (2022).indd 37 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 2: Explain steps in solving number sentences of basic operations and
mixed operations, with and without brackets.
PL 3: Solve basic operations and mixed operations number sentences
and justify answer.


12. Solve the following mixed operations. LS 2.4.1 PL 2 PL 3
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3
1
(a) 4 × 0.7 ÷ 2 = (b) 12 ÷ 3 × 1.35 =
2 4
Lakukan operasi dari kiri ke kanan. Lakukan operasi dari kiri ke kanan.
1
3
4 × 0.7 ÷ 2 12 ÷ 3 × 1.35
2 4
= 4.5 × 0.7 ÷ 2 = 12 ÷ 15 × 1.35
= 3.15 ÷ 2 4
= 1.575 4
= 12 × × 1.35
15
= 3.2 × 1.35
= 4.32

3
(c) 18 ÷ 1.6 × 2 7 = (d) 4 × 2.68 ÷ 2.3 =
10 5
Lakukan operasi dari kiri ke kanan. Lakukan operasi dari kiri ke kanan.
3
18 ÷ 1.6 × 2 7 4 × 2.68 ÷ 2.3
10 5
= 18 ÷ 1.6 × 2.7 = 4.6 × 2.68 ÷ 2.3
= 180 ÷ 16 × 2.7 = 12.328 ÷ 2.3
= 11.25 × 2.7 = 123.28 ÷ 23
= 30.375 = 5.36




1
1
(e) 2 × 3.5 ÷ 1.5 = (f) 36 ÷ 3 × 1.24 =
4 5
Lakukan operasi dari kiri ke kanan. Lakukan operasi dari kiri ke kanan.
1
1
2 × 3.5 ÷ 1.5 36 ÷ 3 × 1.24
4 5
= 2.25 × 3.5 ÷ 1.5 = 36 ÷ 3.2 × 1.24
= 7.875 ÷ 1.5 = 360 ÷ 32 × 1.24
= 78.75 ÷ 15 = 11.25 × 1.24
= 5.25 = 13.95






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02 Mahir Math Yr6 (2022).indd 38 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 2: Explain steps in solving number sentences of basic operations and
mixed operations, with and without brackets.
PL 3: Solve basic operations and mixed operations number sentences
and justify answer.


13. Solve each of the following. LS 2.4.1 PL 2 PL 3
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4
(a) 4 × 0.59 + 3 = (b) 2 9 – 18 × 0.054 =
5 10
Lakukan operasi darab terlebih dahulu Lakukan operasi darab terlebih dahulu
diikuti operasi tambah. diikuti operasi tolak.
4 × 0.59 + 3 4 2 9 – 18 × 0.054
5 10
= 4 × 0.59 + 3.8 = 2.9 – 18 × 0.054
= 2.36 + 3.8 = 2.9 – 0.972
= 6.16 = 1.928





1
3
(c) 12 ÷ 5 + 71.29 = (d) 318.9 ÷ 3 − 17 =
2 4
Lakukan operasi bahagi terlebih dahulu Lakukan operasi bahagi terlebih dahulu
diikuti operasi tambah. diikuti operasi tolak.
1
3
12 ÷ 5 + 71.29 318.9 ÷ 3 – 17
2 4
= 12.5 ÷ 5 + 71.29 = 318.9 ÷ 3 – 17.75
= 2.5 + 71.29 = 106.3 – 17.75
= 73.79 = 88.55





2
2
(e) 1 2 + 9 × 0.69 = (f) 1 15.497 − 5 5 2 ÷ 0.8 =
8
5
Lakukan operasi di dalam kurungan Lakukan operasi di dalam kurungan
dahulu. dahulu.
2
2
1 2 + 9 × 0.69 1 15.497 – 5 5 2 ÷ 0.8
5
8
= (2.4 + 9) × 0.69 = (15.497 – 5.625) ÷ 0.8
= 11.4 × 0.69 = 9.872 ÷ 0.8
= 7.866 = 98.72 ÷ 8
= 12.34





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02 Mahir Math Yr6 (2022).indd 39 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

2.5 Problem solving Textbook 93 – 98


Performance Level (PL) Achieved Not yet achieved
PL 4: Solve daily routine problems involving whole numbers, fractions,
decimals and percentages.

Daily
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14. Solve each of the following problems. Application LS 2.5.1
1
1
(a) Haikal wants to pour l of water into a few containers which has the capacity of l
2 8
each. How many containers are needed by Haikal? PL 4
1
1
Bilangan bekas yang diperlukan = l ÷ l
2 8
1 8
= ×
2 1
= 4


(b) The diagram below shows a handicraft which is made by Aqil.


7
– m
9


3
Given that the area of the handicraft is 1 m . Calculate the measure, in m, of length of
2
the handicraft. 4 PL 4
7 3
× m = 1 m
2
9 4
7
3
Panjang kraf tangan = 1 m ÷ m
2
4 9
1
= 2 m
4
(c) The table below shows the mass of two parcels.
Parcel P Q
Mass 0.75 kg 1.6 times of mass P

Calculate the mass, in kg, of parcel Q. PL 4

Jisim bungkusan Q
= 1.6 × 0.75 kg
= 1.2 kg




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02 Mahir Math Yr6 (2022).indd 40 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 4: Solve daily routine problems involving whole numbers, fractions,
decimals and percentages.
(d) The diagram below shows a conversation between two pupils.


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I suggest that we cut
The length of this roll the ribbon into 0.5 m for
of ribbon is 6.8 m. each piece.



What is the total number of 0.5 m ribbons that they will get? PL 4

6.8 m ÷ 0.5 m = 68 ÷ 5
= 13.6

Jumlah helaian reben 0.5 m yang mereka dapat adalah sebanyak 13 helai.





(e) The table below shows the percentage of pupils in SK Intan Segar.

Pupil Boy Girl
Percentage 42%
Calculate the percentage of boys in SK Intan Segar. PL 4

Peratus bilangan murid lelaki
= 100% − 42%
= 58%





(f) Pak Tam gets a yield of 28.75 kg of red chillies. 60% of the red chillies are sold. Calculate
the mass, in kg, of the red chillies sold. PL 4

Jisim cili merah yang telah dijual
= 60% × 28.75 kg
= 0.6 × 28.75 kg
= 17.25 kg








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02 Mahir Math Yr6 (2022).indd 41 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 5: Solve daily routine problems involving whole numbers, fractions,
decimals and percentages using various strategies.
Daily
15. Solve each of the following problems. Application LS 2.5.1
(a) The diagram below shows a cake cut by Chin into two parts of the same size.
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For each part, Chin cut the cake into another 5 smaller parts. Calculate the fraction for
each of the smaller parts from the whole cake. PL 5

1
1 ÷ 5 = × 1
2 2 5
1
=
10


3
1
(b) The mass of rack R is 12 kg which is 1 times of the mass of rack S. Calculate the
mass, in kg, rack S. 5 2 PL 5
3 1 63 3
12 kg ÷ 1 = kg ÷
5 2 5 2

= 63 kg × 2
5 3
= 42 kg
5
2
= 8 kg
5

(c) The table below shows the volume of orange juice in two containers.

Container E F
Volume 2.45 l 2.2 times of volume E
Given that the volume of orange juice in container F is more than 5 l. Prove it. PL 5

Isi padu jus oren = 2.2 × 2.45 l
= 5.39 l
Isi padu jus oren di dalam bekas F lebih daripada 5 l.


Teacher’s Signature: Date:


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02 Mahir Math Yr6 (2022).indd 42 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 5: Solve daily routine problems involving whole numbers, fractions,
decimals and percentages using various strategies.
Daily
16. Solve each of the following problems. Application LS 2.5.1

(a) The diagram below shows the distance between several locations.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.

F G
72.3 km
E
Given that the distance of FG is 1.5 times of the distance of EF. Calculate the distance,
in km, of EG. PL 5

Jarak EG
Jarak EF + Jarak FG
= (72.3 km ÷ 1.5) + 72.3 km
= 48.2 km + 72.3 km
= 120.5 km




(b) The table below shows the percentage of students who are interested in certain hobbies.
Hobby Cooking Reading Swimming Drawing
Percentage 45% 20% 20%

Calculate the total percentage of students with hobbies of cooking and drawing.
HOTS Analysing PL 5
Peratus murid dengan hobi melukis
= 100% − 45% − 20% − 20% = 15%
Jumlah peratus murid dengan hobi
memasak dan melukis
= 45% + 15% = 60%



(c) A recycling club has collected 42.6 kg of old newspapers from Level 1 pupils. The mass
of old newspapers collected by Level 2 pupils is 325% of the mass of old newspapers
collected by Level 1 pupils. Calculate the mass, in kg, the old newspapers collected from
Level 2 pupils. PL 5

Jisim surat khabar lama
= 325% × 42.6 kg
= 3.25 × 42.6 kg
= 138.45 kg


Teacher’s Signature: Date:


43 © Penerbitan Pelangi Sdn. Bhd.






02 Mahir Math Yr6 (2022).indd 43 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved
PL 6: Solve daily non-routine problems involving whole numbers,
fractions, decimals and percentages creatively and innovatively.
Daily
17. Solve each of the following problems. Application LS 2.5.1
(a) The diagram below shows an area of a flower garden.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.


1
6– m 2
4

Mr. Jason wanted to plant a few types of flowers in the garden with the region of the
same size. Mr. Jason set that the area of every region can be written in the form of
mixed numbers. Determine the number of flowers that can be planted and state the
area of each region that you have determined. HOTS Analysing PL 6
1 25 1
6 m ÷ 5 = m ÷
2
2
4 4 5
5 1
2
= m = 1 m
2
4 4
1
2
Encik Jason boleh menanam 5 jenis bunga dengan keluasan 1 m bagi setiap jenis
bunga. 4
Sebarang jawapan lain yang betul juga diterima.
(b) The diagram below shows a conversation between two pupils.
2
The total of both of My mass is 5 kg more
5
our mass is 78.2 kg. than your mass.


Iqbal Daim
Prove the mass of Iqbal, in kg, is 34.6 kg. HOTS Analysing PL 6


Iqbal
78.2 kg
2
Daim 5 kg
5

2
2
1
Jisim Iqbal = 78.2 kg − 5 kg ÷ 2
5
= 72.8 kg ÷ 2
= 36.4 kg
Maka, dibuktikan jisim Iqbal ialah 36.4 kg.


PERFORMANCE LEVEL (✓) 1 2 3 4 5 6

Teacher’s Signature: Date:


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02 Mahir Math Yr6 (2022).indd 44 01/03/2022 2:31 PM

ENRICHMENT PRACTICE




Objective Questions


3
1. 1 ÷ 4 = 6. 6 ÷ 1 1 =
2 8 4
A 1 C 1 A 5 1 C 5 5
2 6 10 10
B 1 D 1 B 5 3 D 5 7
4 8 BAll Rights Reserved.
10
10
2. The diagram below shows a number 7. Which of the following matchings is
card. correct?


A

Penerbitan Pelangi Sdn Bhd.
Calculate N ÷ 3 .
10
1
A 1 C 1 1
2 4 C
1 1
B 1 D 1
3 5
D
3
3. 2 ÷ 2 =
4
1
A 1 C 1 5 8. 0.9 × 1.6 = C 0.44
A 0.14
8 8 B 1.14 D 1.44
3
B 1 D 1 7
8 8 9. The diagram below shows a mathematical
sentence.
5
4. 3 ÷ =
6
1
A 3 C 3 3 How many decimal places for the
5 5 product?
2
B 3 D 3 4 A 1 C 3
5 5 B 2 D 4
5 10. 6.72 ÷ 0.4 =
5. 3 =
9 A 0.168 C 16.8
1 1 B 1.68 D 168
A 2 ÷ 2 C 6 ÷ 2
4 4 11. 35.13 ÷ 1.2 =
1
B 4 ÷ 2 D 8 ÷ 2 1 A 29.175 C 29.375
4 4 B 29.275 D 29.475


45 © Penerbitan Pelangi Sdn. Bhd.






02 Mahir Math Yr6 (2022).indd 45 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages
12. 0.05 = 18. 20% × 5.4 kg =
A 0.05% C 5% A 1.02 kg C 1.06 kg
B 0.5% D 50% B 1.04 kg D 1.08 kg

13. The diagram below shows a mathematical 19. 160% × 17.2 km =
sentence. A 17.02 km C 27.02 km
B 17.52 km D 27.52 km
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
0.3
What is the value of p and value of q? 20. × 100% =
0.4
p q A 2.5% C 25%
A 2.06 2.06% B 7.5% D 75%
B 3.06 306% 8.25
C 4.06 46% 21. 2.5 × 100% =
D 5.06 560% A 110% C 330%
B 220% D 440%
14. 80% = 2
A 0.08 C 8 22. 4 – 1.68 + 2.5 =
5
B 0.8 D 80 A 2.22 C 5.22

15. Which of the following exchanges is B 2.75 D 5.75
incorrect? 1
23. 60 ÷ 4 × 2.13 =
6
A A 14.25 C 30.35
B 14.4 D 30.672
B
1
24. 81 − 64.2 ÷ 1 =
C 2
A 42.8 C 16.8
D B 38.2 D 11.2

3
16. 37% + 19% = 25. 5.109 + 2 × 7 =
4
A 46 C 56 A 7.859 C 24.359
B 46% D 56% B 19.25 D 55.013

2
1
17. The diagram below shows a solution of 26. 5 1 + 70.8 ÷ 4 =
a mathematical sentence in the vertical 10
form. A 18 9 C 75 9
10 10
8 1 % B 18.975 D 75.975
– 2 4 % 3
1
2
27. 6.4 × 2 + 6 =
8
3
A 8 C 53 3
What is the balance will be obtained? 8 8
A 53% C 63% B 8 D 53 3
3
B 57% D 67% 5 5

46
© Penerbitan Pelangi Sdn. Bhd. 46 © Penerbitan Pelangi Sdn. Bhd.





02 Mahir Math Yr6 (2022).indd 46 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages


Subjective Questions


1. The diagram below shows a picture.


Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
3
– m
4





3
2
Given that the area of the picture is m . Calculate the length, in m, of the picture.
10 [2 marks]
3 m ÷ m = 1 3 × 4 2 m
3
2
10 4 10 3
5 1
2
= m
5
2. The diagram below shows the volume of mango juice that can be filled in container A and
HOTS the volume that can fit in glass B.
Evaluating




4.4
0.32


A B

What is the maximum number of glass B that can be fully filled with mango juice from
container A? [3 marks]

4.4 l ÷ 0.32 l = 13.75


Maka, sebanyak 13 gelas B yang boleh diisi penuh dengan air mangga di dalam bekas A.




3. Given that the mass of book M is 0.95 kg while the mass of book N is 2.6 times of the mass
of book M. Calculate the mass, in kg, of book N. [2 marks]


Jisim buku N
= 2.6 × 0.95 kg
= 2.47 kg




47 © Penerbitan Pelangi Sdn. Bhd.






02 Mahir Math Yr6 (2022).indd 47 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages
4. The diagram below shows a piece of decimal number card.





(a) Convert the decimal number to percentage. [1 mark]
3.06
= (3.06 × 100)%
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
2.55
= 306% 12 30.60
– 24
(b) Calculate 3.06 divide by 1.2. 6.6 [2 marks]
3.06 ÷ 1.2 – 6.0

= 30.6 ÷ 12 .60
= 2.55 – .60
.00


5. The diagram below shows a conversation between two pupils.


My height is My height is 1.2 times
1.35 m. of your height.





Balan Tino
Calculate the height, in m, of Tino. [2 marks]
Tinggi Tino
= 1.2 × 1.35 m
= 1.62 m

6. Naufal and his brother put some sand into a pail. The diagram below shows the total mass
of the sand and the pail.





3
3– kg
5

Given that the mass of the pail is 0.1 kg. Naufal and his brother pour all of the sand into 5
containers equally. Calculate the mass, in kg, of the sand in each container. [3 marks]
Jisim pasir di dalam setiap bekas
3
2
1
= 3 kg – 0.1 kg ÷ 5
5
= (3.6 kg − 0.1 kg) ÷ 5
= 3.5 kg ÷ 5
= 0.7 kg



© Penerbitan Pelangi Sdn. Bhd. 48






02 Mahir Math Yr6 (2022).indd 48 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages
7. The diagram below shows the percentage of pupils which are born in a certain six whole
months.
February April June



10% 15% 10%
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.


15% 25% 15%



January March May
(a) Calculate the percentage of pupils who are born in the first 3 months. [2 marks]
Peratus murid yang lahir dalam 3 bulan pertama
= 15% + 10% + 25%
= 50%



(b) What is the difference of percentage for pupils who are born in May and June?
[3 marks]
Mei = 100% − 15% − 10% − 25% − 15% − 10%
= 25%
Beza = 25% − 10%
= 15%



HOTS Practice
HOTS Practice
HOTS Analysing HOTS Evaluating
1
Given that the total length of string P and string Q is 57 m. The length of string Q is 21.6 m
5
more than string P. Calculate the length, in m, of string P.


Tali P
1
57 m
Tali Q 21.6 m 5


1
1
2
Panjang tali P = 57 m − 21.6 m ÷ 2
5
= 35.6 m ÷ 2
= 17.8 m HOTS










49 © Penerbitan Pelangi Sdn. Bhd.






02 Mahir Math Yr6 (2022).indd 49 01/03/2022 2:31 PM

Mathematics Year 6 Unit 2 Fractions, Decimals and Percentages




21st Century Learning
ACTIVITY


(c) 6.7 × 1.23 =Rights Reserved.
Unit 2 Fractions, Decimals and Percentages

Preparation phase: Timed Pair Share
1. Activity in pairs.
2. Teacher prepares question cards and competition site as the following example.
Example:
1
Draw 9 squares (a) 5 ÷ =
3
2
5
1
(b) 4 ÷ 2 =
4
Penerbitan Pelangi Sdn Bhd. All
(d) 1.837 ÷ 1.1 =
(e) 82% − 34% =
(f) 43% + 29% =
(g) 125% × 4.6 =
1
(h) 7.1 − 4.935 ÷ 2 10 =
3
2
(i) 1 1 + 2.47 × 0.2 =
8
Instructions:
1. Each pair of pupils solve the questions starting from (a).
2. Who solve the fastest and the answer is correct, can mark a symbol in the 9 squares.
3. The fastest pupil that can connect the symbols in a row is the winner.

Example of work result:





















© Penerbitan Pelangi Sdn. Bhd. 50






02 Mahir Math Yr6 (2022).indd 50 01/03/2022 2:31 PM

Mathematics Year 6 Unit 4 Time Date:
4 Theme: Measurement and Geometry



Time




Penerbitan Pelangi Sdn Bhd. All Rights Reserved.


SMART RevisiON


1. The whole world is divided into 24 time zones. The time in each time zone is different.
2. The following diagram shows the time zones of the world.
11pt (–) Later Earlier (+)
1
= To the West To the East
2
_____________ 3 p.m.
10 pt 2 p.m. 4 p.m.
1
=
2
_____________ 105° 120° 135° 150° 165° 180° 165° 150° 135° 120° 105° 90° 75° 60° 45° 30° 15° 0° 15° 30° 45° 60° 75°
8 pt
Arctic Ocean
Arctic Ocean
= – 1 80° Arctic Ocean Arctic Ocean 80°
2
Asia Reference Zonen UTC Reference Zonen UTC
Asia
Asia
North
North Asia
America Europe 60°
America
Eropah
60°
North North
North
North
40° 40°
Pacific Ocean Atlantic Ocean
Pacific Ocean
Atlantic Ocean
Africa 20°
Afrika
South
20° South 0°
Indian Ocean
America
America Indian Ocean
South
South
Pacific Ocean
0° Pacific Ocean 20°
Australia
Australia South
South
Atlantic Ocean
Atlantic Ocean
20° 40°
40° F G H I K L MY X W V U T S R Q P O N Z A B C D E F
+6 +7 +8 +9 +10 +11 +12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6
60°
60° 105° 120° 135° 150° 165° 180° 165° 150° 135° 120° 105° 90° 75° 60° 45° 30° 15° 0° 15° 30° 45° 60° 75°
Even number zones Odd number zones
There are countries which have more The calculation of time start from
than one time zones such as Australia the line 0° at Greenwich, England,
that has 3 time zones. United Kingdom.
© Penerbitan Pelangi Sdn. Bhd. 74






04 Mahir Math Yr6 (2022).indd 74 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time


PBD MODULE ›› DSKP Practice


4.1 Time zones Textbook 141 – 147

Performance Level (PL) Achieved Not yet achieved
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PL 1: Recognise time zone.
PL 2: Explain time difference between two cities located in different time
zones.
1. Mark (✓) for the correct statements or (7) for the incorrect statements. LS 4.1.1 PL 1

(a) The whole world is divided into 36 time zones. 7


(b) The calculation time starts from 0° line at Greenwich, England. ✓

(c) There are countries which have more than one time zone. ✓

(d) Australia has 3 time zones. ✓

(e) Malaysia has 2 time zones. 7

(f ) Further to the right, the time is earlier. ✓

(g) The time in the western countries is ahead of the time in eastern countries. 7


(h) Further to the left, the time is earlier. 7

(i) The time in the eastern countries is ahead of time in the western countries. ✓

2. The table below shows the differences in time between Malaysia and a few places.
LS 4.1.2 PL 2
Country Time difference
Maldives – 3
Jakarta – 1
Auckland + 4

Given that the time in Malaysia is 12:30 a.m., Monday. Calculate the time and day for the
three places above.

(a) Time in Maldives (b) Time in Jakarta (c) Time in Auckland
= 12:30 a.m. − 3 jam = 12:30 a.m. − 1 jam = 12:30 a.m. + 4 jam
= 24 jam 30 minit − 3 jam = 24 jam 30 minit − 1 jam = 0 jam 30 minit + 4 jam
= 21 jam 30 minit = 23 jam 30 minit = 4 jam 30 minit
= 9:30 p.m., Ahad = 11:30 p.m., Ahad = 4:30 a.m., Isnin



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04 Mahir Math Yr6 (2022).indd 75 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time

Performance Level (PL) Achieved Not yet achieved
PL 3: Determine time between two cities located in different time zones.
3. Complete the following table. LS 4.1.2 PL 3

11pt Malaysia Time Country Time of the Country
1
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= (time zone +8)
2
_____________ (a) 2:05 a.m., Monday London (time zone +0) 6:05 p.m., Ahad
10 pt
1 (b) 4:30 a.m., Tuesday Japan (time zone +9) 5:30 a.m., Selasa
=
2
_____________
8 pt (c) 9:15 a.m., Wednesday Indonesia (time zone +7) 8:15 a.m., Rabu
= – 1
2 (d) 7:40 p.m., Khamis Saudi Arabia (time zone +3) 2:40 p.m., Thursday
(e) 1:25 a.m., Jumaat Colombia (time zone −5) 12:25 p.m., Thursday

(f ) 6:10 p.m., Sabtu Mexico (time zone −6) 4:10 a.m., Saturday



4. Find the time differences between two cities located in different time zones. LS 4.1.2 PL 3
(a) (b)

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2
9 3 9 3 9 3 9 3
8 4 8 4 8 4 8 4
7 6 5 7 6 5 7 6 5 7 6 5



4:45 p.m. − 1:45 p.m. 5:25 p.m. − 9:25 a.m.
= 16 jam 45 minit − 13 jam 45 minit = 17 jam 25 minit − 9 jam 25 minit
= 3 jam = 8 jam
XXX
(c) (d)

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2
9 3 9 3 9 3 9 3
8 4 8 4 8 4 8 4
7 6 5 7 6 5 7 6 5 7 6 5


9:00 p.m. − 7:00 p.m. 3:20 a.m. − 8:20 p.m.
= 21 jam − 19 jam = 27 jam 20 minit − 20 jam 20 minit
= 2 jam = 7 jam



Teacher’s Signature: Date:


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04 Mahir Math Yr6 (2022).indd 76 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time

4.2 Problem solving Textbook 148 – 152


Performance Level (PL) Achieved Not yet achieved
PL 4: Solve daily routine problems involving time.
PL 5: Solve daily routine problems involving time using various strategies.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
Daily
5. Solve each of the following problems. Application LS 4.2.1
(a) The diagram below shows the time in London and Malaysia at the same time.

London Malaysia
7:45 a.m. 3:45 p.m.

29/8/2021 29/8/2021

Based on the diagram above, calculate the time difference between London and
Malaysia. PL 4


Beza masa = 3:45 p.m. − 7:45 a.m.
= 15 jam 45 minit − 7 jam 45 minit
= 8 jam




(b) Hakim lives in Malaysia and he has a pen-friend in Argentina. Argentina is located to
the west side of Malaysia and the time difference between Argentina and Malaysia is
11 hours.
(i) Given that the time in Argentina is 2:15 p.m., Tuesday. What is the time in
Malaysia? PL 4


Waktu di Malaysia = 2:15 p.m. + 11 jam
= 14 jam 15 minit + 11 jam
= 25 jam 15 minit
= 1:15 a.m., Rabu


(ii) Is it reasonable for Hakim to contact his pen-friend at 2:35 p.m., Sunday at
Malaysia time? Give your reason. PL 5


Waktu di Argentina = 2:35 p.m. − 11 jam
= 14 jam 35 minit − 11 jam
= 3 jam 35 minit
= 3:35 a.m., Sabtu
Tidak wajar Hakim menghubungi sahabat penanya kerana sahabatnya mungkin
sedang tidur.


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04 Mahir Math Yr6 (2022).indd 77 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time

Performance Level (PL) Achieved Not yet achieved
PL 5: Solve daily routine problems involving time using various strategies.
PL 6: Solve daily non-routine problems involving time creatively and
innovatively.
Daily
6. Solve each of the following problems. Application LS 4.2.1
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
(a) The diagram below shows the time in Malaysia and Paris on the same day.


11 12 1 11 12 1
10 2 10 2
9 3 9 3
8 4 8 4
7 6 5 7 6 5


Malaysia Paris

If the time in Paris is 9:10 p.m., Thursday, what is the time in Malaysia? PL 5

Waktu di Malaysia = 9:10 p.m. + 6 jam
= 21 jam 10 minit + 6 jam
= 27 jam 10 minit
= 3 jam 10 minit
= 3:10 a.m., Jumaat





(b) An aeroplane took off from Kuala Lumpur International Airport to country T at
1520 hours, Wednesday at Malaysia time. The flight took about 10 hours 20 minutes.
The time at country T is 5 hours later as compared to Malaysia time. State the time that
aeroplane landed in country T according to the time in country T. PL 6

Waktu di negara T = Jam 1520 + 10 jam 20 minit − 5 jam
= 15 jam 20 minit + 10 jam 20 minit − 5 jam
= 25 jam 40 minit – 5 jam
= 20 jam 40 minit
= 8:40 p.m., Rabu









PERFORMANCE LEVEL (✓) 1 2 3 4 5 6


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04 Mahir Math Yr6 (2022).indd 78 01/03/2022 2:33 PM

ENRICHMENT PRACTICE




Objective Questions
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.

1. The whole world is divided into ______ 6. If the time in Kuala Lumpur, Malaysia is
time zones. 2020 hours, what is the time in Amman,
A 12 C 36 Jordan (time zone +3)?
B 24 D 48 A 3:20 p.m.

2. Further to the _______ side of a country, B 5:20 p.m.
the earlier is the time of the country. C 10:20 p.m.
A north C west D 11:20 p.m.
B south D east
7. If the time in Kuala Lumpur, Malaysia is
3. The value of angle for each time zone is 0235 hours, Wednesday, what is the time
HOTS _______.
Applying in Havana, Cuba (time zone −4)?
A 0° C 30° A 2:35 a.m. Tuesday
B 15° D 45°
B 2:35 a.m. Wednesday
4. The table below shows the time zones of C 2:35 p.m. Tuesday
London and Istanbul. D 2:35 p.m. Wednesday

8. New Zealand is located to the east
HOTS side of Malaysia. The time difference is
Applying
5 hours. Given that the time in Malaysia
If the time in London is 12:45 a.m., is 6:15 a.m., what is the time in New
Tuesday, what is the time and day in Zealand?
Istanbul? A 1:15 a.m.
A 3:45 a.m., Tuesday B 1:15 p.m.
B 3:45 a.m., Wednesday C 11:15 a.m.
C 5:45 a.m., Tuesday D 11:15 p.m.
D 5:45 a.m., Wednesday
9. Douala, Cameroon is located to the west
5. The time difference between Kuala HOTS side of Jeddah, Saudi Arabia. The time
HOTS Lumpur and Kirov is 5 hours. Given that Applying
Applying difference is 2 hours. Given the time in
Kirov is located to the west side of Kuala Jeddah, Saudi Arabia is 4:50 a.m., what
Lumpur. If the time in Kirov is 2:30 a.m.,
Monday, what is the time and day in is the time in Douala, Cameroon?
Kuala Lumpur? A 2:50 a.m.
A 7:30 p.m., Sunday B 6:50 a.m.
B 7:30 p.m., Monday C 2:50 p.m.
C 9:30 p.m., Sunday D 6:50 p.m.
D 9:30 p.m., Monday


79 © Penerbitan Pelangi Sdn. Bhd.






04 Mahir Math Yr6 (2022).indd 79 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time
10. The diagram below shows the time in Given that the time in New York is
Aden, Yemen and Hong Kong, China on 2:10 a.m., Friday. What is the time and
the same day. day in Phoenix?
A 10:10 p.m., Thursday
Aden Hong Kong B 10:10 p.m., Friday
4:05 p.m. 9:05 p.m. C 11:10 p.m., Thursday
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
D 11:10 p.m., Friday
1/9/2021 1/9/2021
13. The diagram below shows the time in
Based on the above diagram, calculate
the time difference between Aden and Porto Velho and Rio Branco on the same
Hong Kong. day.
A 4 hours
B 5 hours Porto Velho Rio Branco
C 6 hours 2:25 p.m. 1:25 p.m.
D 7 hours 2/9/2021 2/9/2021


11. South Korea is located to the east side of Based on the above diagram, calculate
HOTS Malaysia with a time difference of 1 hour. the time difference between Porto Velho
Analysing
Puan Fatin and her family boarded an and Rio Branco.
aeroplane from Kuala Lumpur to Seoul, A 1 hour
South Korea at 9:30 p.m., Wednesday. B 2 hours
The flight duration time took about C 3 hours
6 hours. Calculate the time and day Puan D 4 hours
Fatin and her family arrived in Seoul, 14. An aeroplane took off from Kuala Lumpur
South Korea according to local time. International Airport to Ho Chi Minh at
A 0430 hours, Wednesday 5:45 p.m., Tuesday at Malaysia time. The
B 0430 hours, Thursday diagram below shows the time duration
C 1630 hours, Wednesday for the flight.
D 1630 hours, Thursday
1 hour 50 minutes
12. The diagram below shows a conversation
HOTS between two friends.
Applying

Phoenix is situated to the The time in Ho Chi Minh is 1 hour late
west side of New York. as compared to the time in Malaysia.
State the time of arrival in Ho Chi Minh
according to local time.
Time zone of New York
is GMT –4 and the time A 6:25 p.m., Tuesday
difference of Phoenix B 6:35 p.m., Tuesday
and New York is 3 hours.
C 7:25 p.m., Tuesday
D 7:35 p.m., Tuesday




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04 Mahir Math Yr6 (2022).indd 80 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time
15. The diagram below shows the time 16. The diagram below shows the time in
in Helsinki, Finland and Makassar, Lima, Peru and Lisbon, Portugal on the
Indonesia on the same day. same day.


11 12 1 11 12 1 Lima Lisbon
10 2 10 2
2:30 a.m. 8:30 a.m.
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9 3 9 3
8 4 8 4
7 6 5 7 6 5 What is the time in Lisbon, given that the
time in Lima is 11:15 a.m.?
Helsinki Makassar A 5:15 a.m.
What is the time in Helsinki, given the B 9:15 a.m.
time in Makassar is 10:05 a.m.? C 5:15 p.m.
A 5:05 a.m. C 5:05 p.m. D 9:15 p.m.
B 7:05 a.m. D 7:05 p.m.




Subjective Questions



1. The table below shows the time zones in three cities.

City Time zone
Tokyo, Japan GMT +9
Berlin, Germany GMT +2
Mazatlan, Mexico GMT –6

Given the time in Germany is 3:40 a.m., Monday. Calculate the time and day in
(a) Tokyo, Japan [2 marks]

3:40 a.m. + 7 jam = 3 jam 40 minit + 7 jam Berlin
= 10 jam 40 minit 3:40 a.m.
= 10:40 a.m., Isnin

–6 0 +2 +9
Mazatlan Tokyo


(b) Mazatlan, Mexico [2 marks]

3:40 a.m. − 8 jam = 27 jam 40 minit − 8 jam
= 19 jam 40 minit
= 7:40 p.m., Ahad








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04 Mahir Math Yr6 (2022).indd 81 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time
2. The diagram below shows the time in Brazil and Malaysia at the same time.



Brazil Malaysia
2:20 a.m. 1:20 p.m.
30/8/2021 30/8/2021
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(a) Calculate the time difference between Brazil and Malaysia. [2 marks]


Beza masa = 1:20 p.m. − 2:20 a.m.
= 13 jam 20 minit – 2 jam 20 minit
= 11 jam





(b) Given that the time zone of Malaysia is GMT +8, what is the time zone for Brazil?
HOT [3 marks]
Analysing
+8
Brazil Greenwich, Malaysia
England

11 jam

Beza masa antara Brazil dengan Greenwich, England = 11 jam − 8 jam
= 3 jam
Maka, zon masa Brazil ialah −3.





3. The diagram below shows the time in Malaysia and Chicago on the same day.



11 12 1 11 12 1
10 2 10 2
9 3 9 3
8 4 8 4
7 6 5 7 6 5


Chicago Malaysia


(a) Underline the correct answer based on the above diagram.

Chicago is located to the ( east , west , north , south ) side of Malaysia. [1 mark]





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04 Mahir Math Yr6 (2022).indd 82 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time
(b) Calculate the time difference between Chicago and Malaysia. [2 marks]


Beza masa = 8:20 p.m. − 7:20 a.m.
= 20 jam 20 minit − 7 jam 20 minit
= 13 jam

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.


(c) Given that the time in Malaysia is 11:35 p.m., Sunday. What is the time and day in
Chicago? [3 marks]

Waktu di Chicago = 11:35 p.m. − 13 jam
= 23 jam 35 minit − 13 jam
= 10 jam 35 minit
= 10:35 a.m., Ahad








HOTS Practice
HOTS Practice
HOTS Applying HOTS Analysing
The table below shows the time zone for two cities.

City Time zone
Kuala Lumpur GMT +8
South Georgia GMT –2

A robotics competition is held in South Georgia for 4 hours 30 minutes. The live streaming of
the competition started sharp at 1745 hours at Kuala Lumpur time. What is the time for the
competition to end according to the time of South Georgia?

Waktu tamat pertandingan = Jam1745 − 10 jam + 4 jam 30 minit
= 17 jam 45 minit − 10 jam + 4 jam 30 minit
= 7 jam 45 minit + 4 jam 30 minit
= 12 jam 15 minit
= 12:15 p.m.


HOTS













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04 Mahir Math Yr6 (2022).indd 83 01/03/2022 2:33 PM

Mathematics Year 6 Unit 4 Time




21st Century Learning
ACTIVITY


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Unit 4 Time
Preparation phase: Gallery Tour
1. Teacher prepares 8 question cards.
2. All pupils are divided into 5 groups.
Example:

City Time zone City Time zone
Andorra GMT +2 Mariehamn GMT +3
Kuala Lumpur GMT +8 Rarotonga GMT –10

Given that the time in Kuala Lumpur is 3:25 a.m., Given that the time in Mariehamn is 4:30 p.m.,
Monday. What is the time and day in Andorra? Friday. What is the time and day in Rarotonga?


City Time zone City Time zone
Mawson GMT +5 Bangkok GMT +7
Algiers GMT +1 Pitcairn GMT –8
Given that the time in Algiers is 11:40 p.m., Given that the time in Pitcairn is 7:55 a.m.,
Tuesday. What is the time and day in Mawson? Saturday. What is the time and day in Bangkok?

City Time zone City Time zone
Rothera GMT –3 Guayaquil GMT –5
Belize GMT –6 Palau GMT +9
Given that the time in Rothera is 2:05 a.m., Given that the time in Guayaquil is 12:15 p.m.,
Wednesday. What is the time and day in Belize? Sunday. What is the time and day in Palau?

City Time zone City Time zone
Creston GMT –7 Gambier GMT –9
Cuiaba GMT –4 Colombo GMT +5:30

Given that the time in Creston is 9:10 p.m., Given that the time in Gambier is 8:45 a.m.,
Thursday. What is the time and day in Cuiaba? Monday. What is the time and day in Colombo?

Instructions:
1. All pupils in each group answer the questions. Make sure all pupils involved.
2. Following a signal from the teacher, pupils will move in groups.
3. The works of other groups are shown on the table for other groups to see.
4. The groups which are going to visit can give comments if necessary.
5. After all groups settle with visiting, they return to their original seats.
6. Representative of each group tells or reports the learning or experience gained during
visiting.


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04 Mahir Math Yr6 (2022).indd 84 01/03/2022 2:33 PM

Mathematics Year 6 Answers

ANSWERS







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UNIT 1 Whole Numbers and Operations 12. (a) 4 1 million (b) 2 million
5
7 1
PBD MODULE ›› DSKP Practice (c) 8 million (d) 1 10 million
1
3
1. (a) 1 273 414 (b) 3 605 550 (e) 3 million (f) 4 million
(c) 4 580 090 (d) 5 701 071 5 2
13. (a) 200 000 (b) 300 000
2.
(c) 625 000 (d) 1 750 000
(e) 9 500 000 (f) 3 800 000
8.5pt 14. (a) 900 000 (b) 728 000
= — 1 (c) 849 000 (d) 1 196 645
2 (e) 3 739 000 (f) 8 805 200
3. (a) 3 534 219 (b) 5 610 012
= (c) 9 400 800 (g) 5 153 500 (h) 6 740 620
15. (a) 230 000 (b) 557 000
4. (a) Two million six hundred forty-one thousand three (c) 300 220 (d) 137 200
hundred and eighty-five
(b) Six million four hundred seven thousand and thirty- (e) 2 920 000 (f) 2 392 345
eight (g) 2 029 600 (h) 2 700 000
(c) Eight million one hundred thousand and ninety 16. (a) 8 500 000 (b) 8 250 000
(c) 4 952 000 (d) 7 665 000
5. (a) Abacus (b) Calculator (e) 7 200 000 (f) 6 250 000
(c) Microsoft Excel
(g) 1 260 000 (h) 5 200 000
6. (a) ascending by tens
(b) descending by hundreds 17. (a) 50 000 (b) 100 000
(c) ascending by thousands (c) 276 000 (d) 125 000
(d) descending by ten thousands (e) 470 000 (f) 375 000
(e) ascending by hundred thousands 18. (a) 2 174 000 (b) 6 412 500
(f) descending by millions (c) 4 278 500 (d) 7 960 300
(e) 4 137 500 (f) 5 987 700
7.
19. (a) 1 488 640 (b) 2 008 000
(c) 449 600 (d) 2 362 500
20. (a) 5 150 000 (b) 3 615 000
(c) 3 384 000 (d) 2 263 200
8. (a) 0.72 million (b) 6.19 million (e) 4 782 500 (f) 1 504 000
(c) 7.368 million (d) 4.053 million
21. (a) 8 588 895 (b) 389 000
9. (a) Three over ten million 22. (a) 3 877 000 (b) 8 000 000
(b) Zero point six nine million (c) 25 (d) 8 344 000
1
(c) 4 million
2 23. (a) ✓ (d) ✓
(d) 5.087 million (e) ✓
(e) One, seven over eight million 24. Orange : 11, 23, 61, 43, 59, 37
(f) 2.901 million Blue : 57, 35, 49, 27, 69, 14
10. (a) 0.4 million (b) 0.006 million 25. (a) 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28
(c) 0.072 million (d) 1.093 million (b) 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60,
(e) 5.05 million (f) 8.1 million 62, 63, 64, 65, 66
11. (a) 0.091 million ; 91 000 (c) 80, 81, 82, 84, 85, 86, 87, 88
(b) 2.003 million ; 2 003 000 26. (a) 0.102 million or 102 000 plants
(c) 4.235 million ; 4 235 000 (b) 670 000 boxes of chocolate milk
(d) 6.048 million ; 6 048 000 (c) 1 400 520 tiles
(e) 7.08 million ; 7 080 000 (d) 600 000 cans of sardine
(f) 9.2 million; 9 200 000


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10 Ans Mahir Math Yr6 (2022).indd 1 01/03/2022 2:41 PM

Mathematics Year 6 Answers

(e) 15 000 bookmarks 2 Fractions, Decimals and Percentages
(f) h = 1 000 UNIT
27. (a) 0.225 million victims PBD MODULE ›› DSKP Practice
(b) 1 068 900 books
(c) 44 916 remainder 40 pillow cases 1. (a) 1 (b) 1
(d) 903 000 applicants 4 6
(e) 200 000 black pens (c) 1 (d) 5
(f) 230 600 teachers 8 8
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28. (a) May → 1 000 (e) 1 6 (f) 1 1 2
June → 1 001 5 6
July → 1 001 (g) 9 (h) 7
8.5pt August → 1 001 (i) 1 1
= — 1 Total = 4 003 3
2 Therefore, the target of the salesman is not
achieved because the total number of sales is only 2 1
= 2. (a) 10 (b) 13
4 000 bottles of health juice. 3 2
1
(b) 1.35 million bottles of health juice (c) 6 (d) 4 5
4 6
3
(e) 3 (f) 44
10
2
ENRICHMENT PRACTICE (g) 4 (h) 3 7
5 11
(i) 1 3
Objective Questions 4
3. (a) 1.12 (b) 4.2
1. B 2. D 3. A 4. B 5. B (c) 9.87 (d) 31.96
6. C 7. C 8. D 9. B 10. A (e) 0.266 (f) 8.242
11. C 12. A 13. D 14. D 15. A (g) 34.272 (h) 56.42
16. B 17. C 18. B 19. D 20. B (i) 6.348
21. B 22. C 23. D 24. A 25. C
4. (a) 9 (b) 1.4
Subjective Questions (c) 2.79 (d) 0.89
(e) 1.21 (f) 6.4
(g) 0.7 (h) 4.6
1. (a) Seven million one hundred twenty-six thousand (i) 3.15
three hundred and eighty-four
(b) Ten thousands 5. (a) 7% (b) 60%
(c) 12% (d) 109%
2. (a) 3 612 345 [Any correct answers are acceptable.] (e) 340% (f) 758%
(b) 7 199 999
6. (a) 0.04 (b) 0.9
3. 1 465 000 books
(c) 0.36 (d) 2.08
4. (a) 8 800 700 (e) 7.1 (f) 5.42
(b) 8 582 893
7. (a) 9% (b) 18%
5. (a) 3 914 520, 3 914 025, 3 419 520, 3 419 502, (c) 58% (d) 17%
3 419 205 (e) 33% (f) 72%
(b) 3 000 000 + 400 000 + 10 000 + 9 000 + 200 + 5
8. (a) 7% (b) 14%
6. 20 833 remainder 10 (c) 34% (d) 4%
20 833 cartons of eggs can be produced with 10 extra (e) 31% (f) 56%
eggs.
9. (a) 0.16 (b) 1.9
7. 0.6 million pencils (c) 0.33 (d) 17.48
8. 6 250 000 (e) 7.4 (f) 92.5
Therefore, 6.3 million of bricks stock is enough to be 10. (a) 40% (b) 75%
distributed to the suppliers. (c) 300% (d) 240%
(e) 60% (f) 150%
HOTS Practice
HOTS Practice
11. (a) 2.83 (b) 8.78
350 stamps (c) 6.85 (d) 4.31
(e) 11.855 (f) 14.335



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10 Ans Mahir Math Yr6 (2022).indd 2 01/03/2022 2:41 PM

PBD


Subject / Year 4 5 6 WRC496932 PELANGI
Bahasa Melayu
English
Matematik
Pentaksiran Year Mathematics
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PBD Bilik Darjah 6 Sains
Science

SEMAKAN Sejarah
KSSR Pendidikan Islam Pentaksiran

Pelajaran Jawi PBD
Pendidikan Jasmani dan
Pendidikan Kesihatan PBD Bilik Darjah
Mathematics



The PBD series is specifically published to assist pupils excel in Pentaksiran Year
Bilik Darjah (PBD). Therefore, the contents of this series incorporate quality practices and
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Ministry of Education. 6
The contents of this series are designed and written based on the Dokumen Standard
Kurikulum dan Pentaksiran (DSKP) and the latest textbook. All practices in this series are Mathematics
systematically arranged with extra features provided to help pupils master the lessons.
Elements such as Higher Order Thinking Skills (HOTS), Pembelajaran Abad Ke-21 (PAK-21) • PBD Worksheets SEMAKAN
and i-THINK are integrated where necessary to enhance pupils’ understanding of the KSSR
syllabus and the elements.
• Based on DSKP and Textbook
Digital initiatives such as Online Quick Quiz, Info and HOTS are also included to enable
teaching and learning to be more interactive and interesting. • Smart Revision

• PAK-21 Activity

• Summative Assessment


• Complete Answers Mathematics
Year 6



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