Syok Praktis PBD (2023) Mathematics TH6

Year
SYOK! 6 FRC326933 Makes Perfect! PELANGI
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PBD SYOK! Praktis PBD



Subject YEAR SYOK! Praktis PBD PRAKTIS
Subject
1 2 3 4 5 6
MATHEMATICS Bahasa Melayu ✔ ✔ ✔ ✔ ✔ ✔ Year
Tatabahasa
✔
✔ ✔
Penulisan ✔ ✔ ✔ PBD
SYOK! Praktis PBD series features topical
practices to supplement the textbooks and the English ✔ ✔ ✔ ✔ ✔ ✔
Classroom Assessment (Pentaksiran Bilik Darjah or 6
PBD). Grammar ✔ ✔ ✔

These practices are useful as reinforcement and Writing ✔ ✔ ✔
enrichment materials, as well as formative assessments Matematik / ✔ ✔ ✔ ✔ ✔ ✔


to gauge pupils' learning. The concept of HOTS and Mathematics MATHEMATICS KSSR SEMAKAN
i-THINK are also incorporated in the practices to fulfi l Sains / ✔ ✔ ✔ ✔ ✔ ✔
Based on the
Science
the latest requirements. Based on the
Sejarah ✔ ✔ ✔ Textbook and
Summative assessments are also provided to assess
pupils' overall achievement. This series is indeed the Pendidikan Islam ✔ ✔ ✔ ✔ ✔ ✔ DSKP
best choice to enhance teaching and learning in the MATHEMATICS
subject. Pelajaran Jawi ✔ ✔ ✔ ✔ ✔ ✔


© Penerbitan Pelangi Sdn. Bhd. 2023 Seetha Devi Ram
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First Published 2023 Year 6

Syok Study

Topical Practices
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01.indd 1 20/09/2022 2:09 PM

CONTENTS







Theme 1 Numbers and Operations Practice Measurement

Practice 5 ................................... 41
1 Whole Numbers and Operations ..... 1 Syok Study ....................................... 41

HOTS Practice .................................. 46
Syok Study ....................................... 1
Summative Practice 5 ....................... 46
HOTS Practice .................................. 8
Summative Practice 1 ...................... 8 Gamified Quiz 5 ............................... 47
Gamified Quiz 1 ............................... 9 Practice Space

Practice Fractions, Decimals 6 ............................................. 48
2 and Percentages ........................ 10 Syok Study ....................................... 48
HOTS Practice .................................. 51
Syok Study ....................................... 10
Summative Practice 6 ....................... 52
HOTS Practice .................................. 16
Summative Practice 2 ...................... 16 Gamified Quiz 6 ............................... 52
Gamified Quiz 2 ............................... 17 Theme 3 Relationship and Algebra

Practice Practice Coordinates, Ratio
3 Money ............................................. 18 7 and Proportion ........................... 53

Syok Study ....................................... 18 Syok Study ....................................... 53
HOTS Practice .................................. 23 HOTS Practice .................................. 59
Summative Practice 3 ....................... 23 Summative Practice 7 ....................... 60
PAK-21 Activity .................................. 25 Gamified Quiz 7 ............................... 61
Gamified Quiz 3 ............................... 25
Theme 4 Statistics and Probability
Mid-year Assessment ..................................... 26
Practice Data Handling
Theme 2 Measurement and Geometry 8 and Likelihood ................................. 62

Practice Syok Study ....................................... 62
4 Time ............................................. 32 HOTS Practice .................................. 67
Summative Practice 8 ....................... 67
Syok Study ....................................... 32 PAK-21 Activity .................................. 69
HOTS Practice .................................. 38
Gamified Quiz 8 ............................... 69
Summative Practice 4 ....................... 38
PAK-21 Activity .................................. 40 Year-end Assessment ..................................... 70

Gamified Quiz 4 ............................... 40 Answers ................................................... A1 – A4









00 Contents.indd 2 15/09/2022 3:43 PM

Name:........................................................................... Class:.............................. Date:.......................

Practice Theme 1 Numbers and Operations

1 Whole Numbers and Operations




Textbook pages: 1 – 60

SYOK Study



1. Whole number is said and written in numerals  Multiply the fraction with one million.
or words starting from the left to the right.  Simplify.
Example:  Write the digits in whole number.

675 090
(b) Convert a whole number to the fraction of
Left Right a million. Example:

2. A number pattern is a series of numbers 1 300 000 = 1 300 000
formed according to a pattern or a certain 1 000 000
order. Number patterns can be formed by = 13 million
(a) adding, subtracting, multiplying or dividing 10
the previous number with a certain fixed = 1 3 million
number. Example: 10
15 200, 16 200, 17 200, 18 200
(Increasing order by one thousands)  Divide the whole number with one million.
(b) adding, subtracting, multiplying or dividing  Simplify. Write the digits in fraction followed by
the word million.
the previous number according to a certain
number pattern. Example:
5. Decimal of a million
500, 600, 800, 1 100, 1 500 (a) Convert the decimal of a million to a whole
number. Example:
+ 100 + 200 + 300 + 400 1.39 million = 1.39 × 1 000 000

3. A 7-digits whole number can also be stated
in fraction or decimal followed by the word = 1 390 000
million. Example:
 Multiply the decimal number with one million.
Decimal ➞ 4.693 million is said and written
as four point six nine three million.  Move the decimal point 6 places to the right.
3  Write the digits in whole number.
Fraction ➞ 2 million is said and written as
5
two and three-fifth of a million. (b) Convert a whole number to the decimal of
a million. Example:
4. Fraction of a million
(a) Convert the fraction of a million to a whole 19 000 = 19 000 ÷ 1 000 000
number. Example:
= 0.019 million
1 3
1 million = × 1 000 000
2 2  Divide the whole number with one million.
3 000 000  Move the decimal point 6 places to the left.
=
2  Write the digits in decimal followed by the word
million.
= 1 500 000


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01 Practice 1.indd 1 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations

6. Basic operation 7. Mixed operations
(a) Whole number (a) A mixed operation is a process that
(i) For addition, subtraction and involves more than one operation.
multiplication, whole numbers are (b) Solving process:
arranged in vertical form according to
its place value and solved starting from Mixed operations Solution steps
the right to the left.
(ii) For division, after writing in vertical Addition and
form, the operation is solved starting subtraction Calculation is done from
from the left to the right. the left to the right
(b) Fraction Multiplication
and division
(i) For addition and subtraction operations
involving fractions: Addition and Solve multiplication
 Equate the denominator. multiplication followed by addition
 Solve.
 State the answer in the simplest form. Subtraction and Solve multiplication
(ii) For multiplication operation involving multiplication followed by subtraction
fractions:
 Multiply the numerators and then the Addition and Solve division followed
denominators. For mixed numbers, division by addition
convert into an improper fraction
before multiplying. Subtraction and Solve division followed
 Solve. division by subtraction
 State the answer in the simplest form.
(iii) For division operation: (c) For a mixed operation that involves
 The divisor needs to be inverted. brackets, solve the operation that is in
 The division operation is changed to the brackets first, followed by the other
multiplication before it is solved. operations.
Example:
2
1
1 million ÷ = million × 8. Prime numbers and composite numbers
1
3 2 3 1 (a) Prime numbers are whole numbers greater
than 1 and only divisible (without any
2
= million balance) by 1 or the number itself.
3
(b) Composite numbers are numbers that can
For mixed numbers, change into an be divided with 1, itself and other numbers.
improper fraction (c) 0 and 1 are not prime or composite
3 7 1 numbers.
1 million ÷ 2 = million × Example:
4 4 2
7
= million Divisible by
8 Prime Composite
(c) Decimal Number 1 and Other Number Number
(i) For addition, subtraction and itself numbers
multiplication, the decimal numbers
are arranged in vertical form with the 5 3 7 3 7
decimal points arranged in a straight
line and is solved from the right to the 8 3 3 7 3
left.
(ii) For division, after writing in vertical form, 16 3 3 7 3
the operation is solved from the left to
the right. 23 3 7 3 7



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01 Practice 1.indd 2 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations


Objective Questions

Instruction:  Answer all questions. Choose one correct answer.


1.1 Whole number up to 10 000 000 4. The diagram below shows a number
sequence.
1. ‘Eight million seven hundred five thousand
and thirty-four’ written in numerals is 4 697 182, 4 707 182, 4 717 182, 4 727 182
A 87 534 State the pattern of the number sequence
B 8 705 034 above.
C 8 750 034 A Ascending order by one thousands
D 8 750 304
B Ascending order by ten thousands

2. The diagram below shows numbers with C Descending order by ten thousands
its place value. D Descending order by one hundred
thousands

5. Seven and five-eighths of a million written
in numerals is
5 5
A 7 C 7 million
8 8
1
B 75 million D 75 million
Millions Hundred Ten Thousands Hundreds Tens Ones 8 8
Thousands Thousands
6. 3.407 million in words is
The number represented by the diagram A three point four zero seven
is B three point four hundred seven million
A two million five hundred thousand C three point four hundred zero seven
three hundred and forty-nine. million
B two million fifty thousand three and D three point four zero seven million
forty-nine.
C two hundred fifty thousand three 7. 5 250 000 in fraction of a million is
3
2
hundred and forty-nine. A 5 million C 5 million
D two million fifty thousand three 4 5
3
1
hundred and forty-nine. B 5 million D 5 million
5 4
3. Which of the following sequence is
arranged in ascending order? 8. Which of the following is not equivalent to
A 3 469 782, 4 609 183, 4 500 000?
1
5
4 651 899, 4 632 820 A 4 million C 4 million
5
10
B 4 093 842, 4 246 913, 1 9
4 082 134, 4 269 172 B 4 million D 2 million
2
C 3 219 902, 3 259 142,
3 272 094, 3 276 842 9. 0.075 million =
D 6 289 143, 6 089 152, A 7 500 C 750 000
5 642 300, 5 694 369 B 75 000 D 7 500 000


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01 Practice 1.indd 3 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations

1.2 Basic and mixed operations Prime numbers and composite
1.3 numbers
1
10. 2 million + 240 500 + 3.5 million =
2 17. Which of the following is a list of prime
A 5 790 500 C 6 240 500 numbers?
B 5 860 500 D 8 405 000 A 2, 5, 7, 6

B 1, 2, 3, 5
11. – 7.04 million = 40 thousand
C 3, 5, 7, 11
What is the value in the empty box above? D 2, 5, 7, 9
A 7 080 000 C 7 036 000
B 7 044 000 D 7 000 000 18. Which of the following is a composite
number?
2
12. 3 million ÷ 8 = A 1 C 4
5
A 40 625 C 406 250 B 3 D 11
B 42 500 D 425 000
19. The following is an incomplete number
13. The diagram below shows a mathematical sentence.
sentence.
+ = 8
(5 000 + 735 000) × 7 =

Solve the mathematical sentence above Which of the following pair of solution
and determine the answer in the decimal consists of both prime numbers?
of a million. A 8 and 0 C 4 and 4
A 5.495 million C 0.5495 million B 3 and 5 D 1 and 7
B 5.18 million D 0.518 million
20. Which of the following pair of composite
14. The diagram below shows a number line. numbers has 15 as its solution?

A 5 + 10 C 6 + 9
0.58 million P Q 0.62 million B 1 + 14 D 2 + 13
Find the value of P + Q. HOTS Applying
A 20 000 C 1 200 000 Problem solving
B 120 000 D 1 820 000 1.4
21. How many prime numbers are there
15. 25 000 × 20 = between 50 and 70?
Solve the mathematical sentence above
and determine the answer in the fraction A 3 C 6
of a million. B 4 D 8
A 1 million C 1 million 1
50 5 22. A food factory produces 2 million tins
1 1 5
B million D million of biscuits. All of them are distributed
20 2
equally to 400 supermarkets all over the
2
16. 6 million – 3 050 000 ÷ 5 = country. How many tins of biscuits did
5 each supermarket receive? HOTS Applying
A 640 000 C 5 640 000 A 550 C 5 375
B 3 350 000 D 5 790 000 B 5 050 D 5 500


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01 Practice 1.indd 4 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations

2
23. The table below shows the number of 25. A factory produced 1 million bottles of
Mathematics activity books printed by a 5
printing company. cooking oil. 75 thousand bottles of cooking
oil were kept in the warehouse and the
Year Number of books remaining bottles were distributed equally
2019 0.64 million to 10 wholesalers. How many bottles of
2020 452 500 cooking oil did each wholesaler receive?
HOTS Applying
2021 A 65 000 C 132 500
1 B 117 500 D 140 000
Total 3 million
4 1
26. A factory distributes 1 million of school
Calculate the number of books printed in 8
the year 2021. bags to 250 supermarkets equally.
A 1 092 500 C 2 157 500 Calculate the number of school bags
B 2 047 500 D 4 342 500 received by 10 supermarkets.
A 472 C 4 720
1 B 4 500 D 45 000
24. A total of 2 million people visited the
4
National Planetarium last year. This year, 27. The product of two numbers is 4.24 million.
the number of visitors is expected to If the first number is 20 thousand, what is
increase by 0.5 million people. Calculate the second number? HOTS Analysing
the estimated number of visitors for this A 2.12
year. B 21.2
A 1 640 000 C 2 640 000 C 212
B 1 750 000 D 2 750 000 D 2 120




Subjective Questions

Instruction:  Answer all questions. Show your workings and write the answers in the space provided.


1. (a) Complete the bubble map below with (b) Convert 2.309 million to a whole
composite numbers between 50 and number. PL 2
60. PL 3
i-THINK Bubble Map






Composite 2. The diagram below shows a number card.
number 4
6 million
5





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01 Practice 1.indd 5 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations

(a) Mark (3) at the correct whole number (b) Calculate the number of newspapers
for the number shown in the diagram. received by 15 schools.
PL 2 HOTS Applying PL 4
6 450 000 6 800 000


6 950 000

(b) What is the value that needs to be
added to the number in the diagram 5. (a) List the prime numbers that are bigger
so that the total becomes 8.2 than 70 and lesser than 90. PL 3
million? PL 3




(b) Calculate the number of composite
numbers between 30 and 50. PL 3

3. A factory produced 1.25 million boxes
of various flavoured milk in June. The
production of milk in July increased by
0.05 million compared to June.
(a) State the number of boxes of milk 6. The diagram below shows the volume of
produced by the factory in June in a bottle filled with orange juice.
whole number. PL 2






500 ml
(b) Calculate the total number of boxes
of milk produced by the factory in the (a) How many bottles are needed to fill
two months. PL 4 2.005 million mℓ of orange juice?
PL 4






(b) After filling up 100 similar bottles with
4. A charity association donates a total of orange juice, Tina still has 390 mℓ
6 450 000 copies of newspapers to 1 000 of the orange juice. Calculate the
schools equally in a year. initial volume of orange juice that Tina
had. PL 4
(a) State the number of newspapers
donated in decimal of a million. PL 2







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01 Practice 1.indd 6 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations

7. The total population of a city is 2 500 000 (b) The number of buttons produced
people. in June is 1 million lesser than in
20
(a) State the total number of people in May. Calculate the number of buttons
decimal of a million. PL 2 produced in June. PL 4






(b) From the total number of people in
the city, 1 390 000 are adults and the 9. The diagram below shows a number line.
remaining are children. If 509 546 of
the total number of children are girls, 10 350 10 550 M 10 950
calculate the number of boys. (a) State the number pattern for the
HOTS Analysing PL 5 above sequence. PL 3






(b) Solve (M + 250) × 100. State the
answer in fraction of a million. PL 3

8. The table below shows the number of
buttons produced by a factory in two
months. The number of buttons produced
in June is not stated.

Number of 10. The diagram below shows three pieces of
Month
buttons two-dimensional number cards.

April 764 912 1
3 0.25
4
May 794 088 million million 50 000

June
(a) Write the number on card in
whole number. PL 2
(a) Calculate the total number of buttons
produced in April and May. State the
answer in decimal of a million. PL 4
(b) Solve the mathematical sentence
below. PL 3
( – ) × 24 =










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01 Practice 1.indd 7 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations



HOTS Practice




1. The number 1 494 325 is the first number in an ascending number pattern of thousands.
Calculate the sum of the third and fourth number in the number pattern.





2. The table below shows the number of balloons according to colours in a box.

Red balloons Blue balloons
24 750 25 250


Mani needs at least 0.15 million of red balloons. Will Mani get the number of red balloons
needed if he buys 6 similar boxes of balloons? Prove your answer.












Summative Practice 1





Instruction:  Answer all questions. 

1. ‘Five million four hundred seven thousand 3. Which of the following is true?
and eighty-nine’ in numerals is A 4 025 000 = 4.25 million
A 5 470 890 C 5 407 890 B 4 405 000 = 4.45 million
B 5 407 089 D 54 789 C 4 750 000 = 4.075 million
D 4 925 000 = 4.925 million
2. 4 750 000 in fraction of a million is
2 1
A 5 million 4. 2 million + 934 095 + 4.05 million =
5 2
7 A 7 023 095 C 7 484 095
B 4 million
10 B 7 104 095 D 7 934 095
3 3
C 4 million 5. 1 million ÷ 25 =
4 4
3 A 53 600 C 536 000
D 4 million
5 B 70 000 D 700 000


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01 Practice 1.indd 8 15/09/2022 2:22 PM

Mathematics Year 6 Practice 1 Whole Numbers and Operations

6. The table below shows the total number 9. A factory produces 3 9 million of drinking
of magazines sold in three months. 10
glasses in a year. The number of glasses
Magazine Total sales produced in every month is the same.
Calculate the total number of drinking
2
Entertainment million glasses produced in 3 months.
5
A 325 000 C 1 170 000
Comic 0.92 million more than B 975 000 D 1 300 000
entertainment
3
magazines 10. A total of million pupils took an admission
4
Calculate the total number of magazines test for a national program. The number of
sold in the three months. male candidates attended is 15 450 lesser
A 1 170 000 than the female candidates.
B 1 320 000 (a) State the total number of pupils that
C 1 420 000 took the admission test in whole
D 1 720 000 number.
7. The table below shows the number of
gloves produced by a factory from April
till June. (b) Calculate the number of male
candidates who took the test.
Month Number of gloves (pairs)

3
April 1 million
8
May 1 650 000 11. (a) List the composite numbers between
10 and 30.
June 1.05 million
The factory has to achieve a production
target of 4 500 000 pairs of gloves in the
three months. How many more pairs of
gloves need to be produced to achieve the (b) The diagram below shows six number
cards.
production target for the three months?
A 420 000 C 1 075 000 9 3 7 2 6 1
B 425 000 D 2 575 000 By using the prime number digits

1 on the cards above, form a smallest
8. A company produces 1 million branded
4 number.
T-shirts every month. 0.75 million of the
total number of T-shirts are exported and
the remaining are sold in the local market.
Calculate the number of branded T-shirts Gamified
sold in the local market in 5 months. Quiz 1
A 0.1 million C 2.5 million
B 1.95 million D 6.25 million


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01 Practice 1.indd 9 15/09/2022 2:22 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages
Name:........................................................................... Class:.............................. Date:.......................

Practice Theme 1 Numbers and Operations

2 Fractions, Decimals and Percentages




Textbook pages: 61 – 102

SYOK Study



Fractions (c) A proper fraction with a proper fraction.
Example:
1. Division of a fraction means dividing a given
fraction equally.
1
2
1
1 ÷ = × = 2
3 2 3 1 3
2. To solve a division operation involving fractions,
the divisor needs to be inversed.
 Change the ‘÷’ operation to ‘×’.
 Inverse the divisor.
3. Division of a fraction  Solve.
(a) A proper fraction with a whole number.
Example:
Decimals

1 1 4 1 1 1 1. The multiplication and division process
÷ 4 = ÷ = × = involving decimals are the same as the
2 2 1 2 4 8
multiplication and division involving whole
number.
 Convert the whole number to improper 2. For multiplication process involving two
fraction.
 Change the ‘÷’ operation to ‘×’. decimal numbers, the position of decimal
 Inverse the divisor. point of the product is the total number of
 Solve. decimal places of the number multiplied.

Example: 2.53 × 1.5 =
(b) A mixed number with a whole number. 2 . 5 3 2 decimal places
Example: × 1 . 5 1 decimal place
1 2 6 5
+ 2 5 3 0
1 9 2 9 1 9 5 1
4 ÷ 2 = ÷ = × = = 2 3 . 7 9 5
2 2 1 2 2 4 4
2 + 1 = 3 decimal places

 &  Convert the mixed number and the whole
number to improper fraction. 3. For division process involving two decimal
 Change the ‘÷’ operation to ‘×’. numbers, the divisor needs to be changed
 Inverse the divisor. from a decimal number to a whole number
 Solve. before performing the division process.








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02 Practice 2.indd 10 15/09/2022 2:57 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages


Example: 3.42 ÷ 1.2 = Example:
2
Method 1: Multiply by 10 3.2 = 3 Convert to mixed number
10
3.42 32
3.42 ÷ 1.2 = = Convert to improper fraction
1.2 10
3.42 × 10 32 × 10 Convert to fraction of a
= =
1.2 × 10 10 × 10 hundred
34.2 320
= =
12 100
= 2.85 = 320% write in the form of
percentage


Method 2: Move the decimal point (b) Convert percentage to a decimal.
Method 1: Divide the percentage with 100%.
3.42
3.42 ÷ 1.2 = Example:
1.2
475% = 475%
34.2 100%
= = 4.75
12
= 2.85  Divide with 100% (cut the % symbol).
 Move the decimal point two places to the left.

Percentages
Method 2: Convert the percentage to a
1. Convert decimals to percentages more than fraction.
100% and vice versa. Example:
(a) Convert a decimal to a percentage. 475% = 475
Method 1: Multiply the decimal with 100%. 100
Example: = 4.75
3.25  Convert to improper fraction.
 Convert to a decimal (move the decimal point
= 3.25 × 100% two places to the left).

= 325%

2. A percentage from a certain value can be
Method 2: Convert to improper fraction. obtained using the concept of ‘of’ from a
Example: fraction by changing % to a fraction of a
3.25 hundred.
25 Example: 120% of 6
= 3 Convert to mixed number
100
325 = 120 × 6
= Convert to improper fraction 100 1
100
= 7.2
= 325% write in the form of percentage
 Change % to fraction of a hundred.
 Change ‘of’ to ‘×’.





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02 Practice 2.indd 11 15/09/2022 2:57 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages


Objective Questions

Instruction:  Answer all questions. Choose one correct answer.


2.1 Fractions A 1 C 3
3
5
1. 15 ÷ = B 2 D 6
6 3
1
A 12 C 18
2 6. 8 1 ÷ 5 =
5 1 2 8
B 15 D 18
6 2 A 5 5 C 9 1
16 4
2. Which of the following is true? B 7 3 D 13 3
1 1 1 5 5
A ÷ =
4 4 2
3 2 3 7. Which of the following is not true?
B ÷ =
4 5 10 A 3 1 ÷ 1 = 13
9 3 2 4 4
C ÷ = 2
10 8 5 B 4 1 ÷ 2 1 = 2
8 2 16 2 4
D ÷ = 1 4
9 3 27 C 5 ÷ 3 =
4 7
3. Which of the following does not produce D 3 1 ÷ 7 = 1
1 as the answer? 2 2
2
3 3 1 8. Which of the following has the smallest
A ÷ = C 7 ÷ 3 = quotient?
8 4 2
1 5 1 A 1 ÷ 4 C 5 ÷ 7
B 4 ÷ 9 = D ÷ 1 = 5 8 8
2 9 9
B 3 ÷ 12 D 6 1 ÷ 5
4. The diagram below shows a number line. 7 2 6

2.2 Decimals
1 3 1 1 W
2 4 4 9. 3.25 × 1.5 =
Calculate the value of W ÷ 21. A 4.75 C 16.25

A 2 C 1 B 4.875 D 48.75
21 12 10. Multiply 8.25 with 1.4.

B 1 D 1 3 A 1.155 C 11.61
14 4 B 11.55 D 115.5
1 5
5. 5 ÷ = 1 11. Which of the following has the smallest
2 6 product?
Determine the number that must be written A 2.5 × 3.11 C 6.2 × 5.29
in the empty box above. B 5.25 × 0.7 D 3.23 × 1.2


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02 Practice 2.indd 12 15/09/2022 2:57 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages

12. The diagram below shows a number line. 21. Calculate the sum of 5.69 and 3.51.
Determine the answer in percentage.
35.2 36.2 Q A 9.2% C 920%
Calculate the value of Q × 2.4. B 92% D 9 200%
A 8.808 C 88.08 22. Solve 4.92 – 2.098 and determine the
B 8.928 D 89.28 answer in percentage.
A 16.06% C 160.6%
13. 56.808 ÷ 2.4 = B 28.22% D 282.2%
A 2.367 C 23.67
B 2.442 D 24.42
23. (8.96 – ) × 100% = 495.2%.
14. Divide 5.894 with 1.4. Determine the number that must be written
A 421 C 4.21 in the empty box above.
B 42.1 D 0.421 A 40.56
B 13.912
15. Which of the following quotient has a value
of 23.08 when rounded off to two decimal C 4.012
places? D 4.008
A 27.702 ÷ 1.2 C 27.69 ÷ 1.2 24. Which of the following sum is equivalent
B 27.684 ÷ 1.2 D 27.789 ÷ 1.2 to 511.6%?
A 1.48 + 2.246
16. 25.2 ÷ 2.52 =
A 1 C 100 B 2.048 + 2.814
B 10 D 1 000 C 0.911 + 4.205
D 1.924 + 1.59

2.3 Percentages 25. Calculate 125% of 70. Determine the
answer in decimal.
17. Determine 3.5 in percentage. A 1.75 C 17.5
A 0.35% C 350% B 8.75 D 87.5
B 35% D 3 500%
26. 140% of 52.8 =
18. Which of the following is greater than A 54.22 C 192.8
2.25? B 73.92 D 739.2
A 22.5% C 225%
B 220% D 275% 27. 130% of a number is 90.09. What is the
number?
19. Which of the following decimal is equivalent A 69.3 C 103.09
to 545%? B 75.92 D 116.61
A 0.054 C 5.45
B 0.545 D 54.5 28. The diagram below shows a number line.
20. Which of the following conversion is true?
A 152% = 15.2 12.5 M 27.5
B 360% = 3.6 What is 330% of M? HOTS Applying
C 505% = 50.5 A 22.5 C 55.5
D 245%= 0.245 B 25.8 D 74.25


13 © Penerbitan Pelangi Sdn. Bhd.






02 Practice 2.indd 13 15/09/2022 2:57 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages

2.4 Mixed operations A 0.17 C 0.31
B 0.25 D 0.45
1
29. 12 + 5 − 3.42 =
5 37. The diagram below shows the location of
A 2.98 C 13.78 three towns P, Q and R.
B 13.73 D 14.08
7 P R
30. Calculate 5 × (5.35 + 1.4) and round off
10 Q
the answer to one decimal place.
A 31.9 C 38.4 The distance between town P and town
B 36.4 D 38.5 Q is 5.25 km while the distance between
town P and town R is 4.5 times the distance
2
31. 3.75 ÷ 1.5 × 3 = between town P and town Q. Calculate
5
A 8.125 C 19.125 the distance, in km, between town Q and
B 8.5 D 19.5 town R.
A 15.750 C 23.625
1 B 18.375 D 28.875
32. (25.604 + 51.74) ÷ 3 =
5
A 24.170 C 74.144 38. Mariam shared 3 1 m of book wrappers
B 24.554 D 73.344 4
with her sister and 3 of her friends equally.
1 What is the length, in m, of book wrapper
33. 17 + 3 – M = 19.975
4 received by each person?
What is the value of M ? A 0.523 C 0.628
A 0.165 C 0.485 B 0.542 D 0.650
B 0.275 D 0.550
39. A seller packed a sack of sugar with the
1 mass of 18 kg into smaller packets, with a
34. Add 32.75 to the product of 2 and 5.
2 3
A 12.50 C 43.35 mass of 4 kg each. Calculate the number
B 33.25 D 45.25 of packets of sugar obtained.
A 17 C 24
B 21 D 25
2.5 Problem solving
1
1
1
35. One sack of onions contains 6 2 kg of 40. 3 2 kg of muruku and 1 4 kg of nuts were
onions. A seller repacks the onions into mixed in a container. A seller packed the
25 packets equally. Calculate the mass, muruku and nuts mixture into smaller
in kg, of a packet of onions. 1
A 0.245 C 2.45 packets, each with a mass of 4 kg. How
B 0.26 D 2.6 many packets did he obtain? HOTS Analysing
A 7
36. An empty box has a mass of 0.45 kg. After B 9
filling 15 marbles of equal size in the box, C 17
the total mass becomes 4.2 kg. Calculate D 19
the mass, in kg, of a marble. HOTS Analysing


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02 Practice 2.indd 14 15/09/2022 2:57 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages


Subjective Questions
Instruction:  Answer all questions. Show your workings and write the answers in the space provided.


1. Complete the following. PL 2 1 1
3. Monika mixed 3 2 ℓ of water and 1 4 ℓ
i-THINK Bridge Map of orange cordials in a container. Then,
(a)
she pours the drink into bottles with the
convert to volume of 0.5 ℓ.
fraction 250%
as (a) Calculate the number of bottles that
Relating 832 can be filled with the drink. PL 5
factor 100

(b)
convert to
percentage 3.45
as (b) Calculate the remaining volume of
Relating 755% drink in the container. PL 4
factor



2. The diagram below shows the mass of a
tin of biscuits.




4. The diagram below shows the mass of
sugar in a container.

1
5 kg
2
Gula
1 Sugar
(a) Rosni took 1 kg of the biscuits
4
and put it equally into 2 containers. 10.3 kg
Calculate the mass of biscuits, in kg, Zaitun needs 0.54 kg of sugar to prepare
in each container. PL 4 a tray of biscuits. She received an order
for 25 trays of the same biscuits. Is the
sugar in the container above enough to
(b) The remaining biscuits in the tin were prepare all the biscuit orders? Prove your
distributed to a few pupils equally. answer. PL 5
Each pupil received 0.25 kg of biscuits.
Calculate the total number of pupils
that received the biscuits. PL 5









15 © Penerbitan Pelangi Sdn. Bhd.






02 Practice 2.indd 15 15/09/2022 2:58 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages



HOTS Practice




5
1. Chiam uses of a packet of flour to bake a cake. If the remaining flour is 0.36 kg, what is
9
the mass, in kg, of the flour used to bake the cake?












2. Trisha works as a tailor. She received an order to sew 30 pieces of curtains. Trisha takes 3
4
hour to sew a curtain and she works for 6 1 hours a day. Would Trisha be able to complete
2
the order in 5 working days? Prove your answer.


















Summative Practice 2





Instruction:  Answer all questions.

1. Convert 2.75 to percentage. 2. Which of the following is an equivalent
A 0.275% pair?
B 27.5% Decimal Percentage
C 275%
D 2 750% A 91.7 91.7%
B 9.17 91.7%
C 0.917 9.17%

D 9.017 901.7%



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02 Practice 2.indd 16 15/09/2022 2:58 PM

Mathematics Year 6 Practice 2 Fractions, Decimals and Percentages

1 7. The distance for a round of a park is
3. The mass of a packet of salt is kg.
5 1.75 km. Every evening, Rania will run 3.5
Puan Lina needs 2 kg of salt. How many 1
packets of salt must she buy? rounds and then walk 2 round as cooling
A 4 down activity.
B 8 (a) Calculate the distance, in km, Rania
C 10 walks in a day.
D 20

2
4. 2 ℓ of syrup is poured equally into 4
5
containers. Then, each container is mixed
1
with ℓ of lime juice. Calculate the total (b) Calculate the distance, in km, she runs
4 in 5 days.
volume, in ℓ, of syrup and lime juice
mixture in each container.
A 0.35
B 0.6
C 0.8
D 0.85

5. The price of 1 kg of mangoes is RM4.50. 8. (a) Calculate the value of 45.35 × 8.3.
Encik Bakar bought 3.3 kg of mangoes. State the answer in two decimal
Calculate the price paid by Encik Bakar for places.
the mangoes that he bought.
A RM17.05
B RM14.85
C RM13.50
D RM12.05

6. The diagram below shows three numbers (b) The price of a towel is RM4.90. How
in different shaped cards. many of the same towels that can be
bought with RM73.50?

100% 8.792 2.8

Solve the mathematical sentence below.
Write the answer in percentage.
÷ × =



Gamified
Quiz 2






17 © Penerbitan Pelangi Sdn. Bhd.






02 Practice 2.indd 17 15/09/2022 2:58 PM

ANSWERS





Practice 31. B 32. A 33. B 34. D 35. B 36. B
1 Whole Numbers and Operations 37. B 38. D 39. C 40. D

Subjective Questions
Objective Questions
1. B 2. D 3. C 4. B 5. C 6. D 1. (a) 250 ; 832% (b) 345%; 7.55
7. D 8. C 9. B 10. C 11. A 12. D 100
13. B 14. C 15. D 16. D 17. C 18. C 2. (a) 0.625 kg (b) 17
19. B 20. C 21. B 22. D 23. C 24. D 3. (a) 9 (b) 0.25 ℓ
25. C 26. D 27. C 4. The mass of sugar available = 10.3 kg
The mass of sugar needed for 25 trays of biscuits
Subjective Questions = 25 × 0.54 kg
= 13.5 kg
1. (a) 51, 52, 54, 55, 56, 57, 58
(b) 2 309 000 Therefore, the sugar in the container is not enough to
2. (a) 6 800 000 3 prepare all biscuit orders.
2
(b) 1 400 000 / 1.4 million / 1 million
5 HOTS Practice
3. (a) 1 250 000 (b) 2 550 000 / 2.55 million
4. (a) 6.45 million (b) 96 750 1. 0.45 kg
5. (a) 71, 73, 79, 83, 89 (b) 14 2. The number of curtains that can be sewn in a day
1
6. (a) 4 010 = 6 hours ÷ 3 hour
(b) 50 390 mℓ / 50.390 ℓ / 50 ℓ 390 mℓ 2 4
7. (a) 2.5 million (b) 600 454 ≈ 8.67
8. (a) 1.559 million (b) 744 088 = 8
9. (a) Ascending order by two hundreds The number of curtains that can be sewn in 5 days
1 = 8 × 5
(b) 1 million = 40
10
10. (a) 3 250 000 Yes, Trisha can complete the orders in 5 days.
4
(b) 4 800 000 / 4.8 million / 4 million
5 Summative Practice 2
HOTS Practice 1. C 2. D 3. C 4. D 5. B 6. 314%
7. (a) 0.875 km (b) 30.625 km
1. 2 993 650
2. The number of red balloons needed 8. (a) 376.41 (b) 15
0.15 million = 150 000 Practice
The number of red balloons obtained if Mani buys 6 boxes 3 Money
of the balloons
= 24 750 × 6 = 148 500 Objective Questions
Therefore, Mani does not get the number of red balloons
needed if he buys 6 similar boxes of balloons. 1. C 2. B 3. B 4. C 5. D 6. C
7. D 8. C 9. B 10. A 11. C 12. D
Summative Practice 1 13. C 14. A 15. D 16. B 17. C 18. C
19. C
1. B 2. C 3. D 4. C 5. B 6. D
7. B 8. C 9. B Subjective Questions
10. (a) 750 000 (b) 367 275 1. Siva’s net assets
11. (a) 12, 14, 15, 16, 18, 20,21, 22, 24, 25, 26, 27, 28 = RM3 725 900 – RM1 632 914 = RM2 092 986
(b) 237
Mala’s net assets
Practice = RM1 934 650 – RM70 595 = RM1 864 055
2 Fractions, Decimals and Percentages Therefore, Siva is richer than Mala.
2. (a) RM1 170 (b) RM4 140
Objective Questions 3. (a) RM1 439 (b) RM1 339
4. (a) RM1 319
1. C 2. C 3. C 4. C 5. C 6. D (b) Washing machine = RM1 690 – RM169 = RM1 521
7. C 8. B 9. B 10. B 11. B 12. C Refrigerator = RM3 550 – RM710 = RM2 840
13. C 14. C 15. C 16. B 17. C 18. D Total = RM1 521 + RM2 840 = RM4 361
19. C 20. B 21. C 22. D 23. D 24. C Therefore, Puan Maimun’s money is not enough to buy
25. D 26. B 27. A 28. D 29. C 30. D both items.


A1 © Penerbitan Pelangi Sdn. Bhd.






11 Answers.indd 1 15/09/2022 2:53 PM

Mathematics Year 6 Answers


HOTS Practice Subjective Questions
1. (a) west
RM12 170
(b) 16 hours
(c) 7:00 p.m., Wednesday
Summative Practice 3 2. (a) 5 hours
1. A 2. C 3. C 4. C (b) 7:00 a.m.
5. RM4 067.25 3. (a) 6:30 a.m. / 0630 hours
6. (a) RM2 706 (b) 8:00 p.m. / 2000 hours, Monday
(b) Puan Maini’s remaining money after buying the 4. (a) 6:00 a.m. / 0600 hours
cupboard (b) The time in Toronto is 2:30 a.m.. Jamil should not
= RM1 259 – RM895 = RM364 make the call at that time because it is still early in the
With a balance of RM364, Puan Maini can buy a morning.
dressing table, bedside lamp, or stool. 5. 1:50 p.m. / 1350 hours
If Puan Maini buys a dressing table, her remaining
money is HOTS Practice
= RM364 – RM250 = RM114 (a) 7 hours
If Puan Maini buys a bedside lamp, her remaining (b) Yes, Nithin will arrive before the match starts.
money is
= RM364 – RM150 = RM214
If Puan Maini buys a stool, her remaining money is Summative Practice 4
= RM364 – RM89 = RM275 1. B 2. D 3. B 4. C
Therefore, the second item bought by Puan Maini was 5. (a) 14 hours
a dressing table.
(b) 4:30 a.m., Friday
6. (a) Bangalore is located on the west of Kuala Lumpur.
Mid-year Assessment (b) 2 hours 30 minutes
(c) 1:45 a.m., Saturday
Objective Questions 7. (a) 1735 hours / 5:35 p.m., 8 July 2021
1. B 2. A 3. B 4. D 5. C 6. C (b) 0935 hours / 9:35 a.m., 8 July 2021
7. B 8. B 9. B 10. D 11. D 12. C
13. B 14. B 15. A 16. D 17. B 18. B Practice 5 Measurement
19. B 20. A
Subjective Questions Objective Questions
1. (a) 532 1. C 2. C 3. C 4. B 5. C 6. C
(b) 2 cards 7. C 8. C 9. A 10. C 11. D 12. B
2. (a) 470 000 13. B 14. C 15. B
(b) 2 200 060
3. (a) RM50.15 Subjective Questions
(b) 5 1. (a) 540 km
4. (a) 3.325 km 1
(b) The distance of Siva’s run in a day (b) 79 ℓ
6
= 3.325 km × 7 = 23.275 km 2. (a) 40 mℓ (b) 1 120 mℓ
Therefore, the statement is not true. 3. (a) 240 g (b) 145 cm
5. (a) 50% 4. (a) 17 ℓ (b) 4
(b) 15%
6. (a) RM96.75 5. 42 kg
(b) 6. The total distance Sarah commutes between home and
office in a day
= 45 km × 2
= 90 km
The total distance Sarah commutes between home and
3
office in 5 days
7. (a) RM137.80 (b) RM12.20 = 90 km × 5
= 450 km
Practice Total volume of petrol needed for 5 days
4 Time 450 km
= × 1.2 ℓ
10 km
Objective Questions
= 54 ℓ
1. C 2. C 3. B 4. C 5. A 6. D Sarah fills up 63 ℓ of petrol. Therefore, the quantity of petrol
7. B 8. D 9. A 10. A 11. D 12. B is enough for her to commute between home and office for
13. A 14. B 15. B a week.

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11 Answers.indd 2 15/09/2022 2:53 PM

Year
SYOK! 6 FRC326933 Makes Perfect! PELANGI
Practice
PELANGI
PRAKTIS KSSR SEMAKAN SYOK!




PBD SYOK! Praktis PBD



Subject YEAR SYOK! Praktis PBD PRAKTIS
Subject
1 2 3 4 5 6
MATHEMATICS Bahasa Melayu ✔ ✔ ✔ ✔ ✔ ✔ Year
Tatabahasa
✔
✔ ✔
Penulisan ✔ ✔ ✔ PBD
SYOK! Praktis PBD series features topical
practices to supplement the textbooks and the English ✔ ✔ ✔ ✔ ✔ ✔
Classroom Assessment (Pentaksiran Bilik Darjah or 6
PBD). Grammar ✔ ✔ ✔

These practices are useful as reinforcement and Writing ✔ ✔ ✔
enrichment materials, as well as formative assessments Matematik / ✔ ✔ ✔ ✔ ✔ ✔


to gauge pupils' learning. The concept of HOTS and Mathematics MATHEMATICS KSSR SEMAKAN
i-THINK are also incorporated in the practices to fulfi l Sains / ✔ ✔ ✔ ✔ ✔ ✔
Based on the
Science
the latest requirements. Based on the
Sejarah ✔ ✔ ✔ Textbook and
Summative assessments are also provided to assess
pupils' overall achievement. This series is indeed the Pendidikan Islam ✔ ✔ ✔ ✔ ✔ ✔ DSKP
best choice to enhance teaching and learning in the MATHEMATICS
subject. Pelajaran Jawi ✔ ✔ ✔ ✔ ✔ ✔


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