预备，起！Praktis GO! MATHEMATICS 6

PRAKTIS GO! KSSR series features
various practices to supplement
the textbooks. These practices are
useful as enrichment materials and TYPC256032
formative assessments to gauge
pupils’ learning. The concept of
HOTS is also incorporated in the
practices to fulf l the latest
requirements.


A summative assessment is also
provided to assess pupils’ overall
achievement. This series is
indeed the best choice
to enhance teaching and
learning in the subject.


Subject/ English Mathematics Science Tatabahasa Penulisan Grammar Writing
Year

1
2

3 KSSR
4 KURIKULUM STANDARD SEKOLAH RENDAH
SEMAKAN
5
STANDARD KUALITI
6



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mm_yr6.indd 1 25/05/2022 10:23 AM

Contents





PAK-21 Activity ....................................................................................................................i – iv

THEME 1 Numbers and Operations


Practice Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
Practice 1 Whole Numbers and Operations .......................................................1 – 11

Practice 2 Fractions, Decimals and Percentages ............................................ 12 – 20


Practice 3 Money .............................................................................................. 21 – 28

QQ 28

THEME 2 Measurement and Geometry


Practice 4 Time .................................................................................................29 – 37


Practice 5 Measurement ..................................................................................38 – 44


Practice 6 Space ...............................................................................................45 – 49

QQ 49

THEME 3 Relationship and Algebra


Practice 7 Coordinates, Ratio and Proportion .................................................50 – 58

QQ 58

THEME 4 Statistics and Probability


8 Data Handling and Likelihood ........................................................59 – 65

QQ 65


Year-End Assessment ................................................................................................ 66 – 80


Answers ...................................................................................................................... A1 – A4













00 Praktis Go Maths Yr 6_Kand.indd 2 11/05/2022 11:11 AM

PAK-21 Activity






Fan-N-Pick



1. The diagram below shows the cards of probability questions.
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究


20 is divided exactly There are 28 days in Getting a number from a
by 7. a month. coin toss.



The combination of Getting an even Today is Wednesday.
two squares forms a number from the roll Tomorrow, which is Tuesday,
rectangle. of a dice. there is a Mathematics quiz.


The water There are 8 red marbles, 2 white marbles
level rises and 2 blue marbles in a box. The Getting number three
during rainy probability of getting a red marble when a from the roll of a
dice.
season. marble is taken out.




1 4 pupils are arranged in a group and each pupil has their own role.
Pupil 1 : Arrange cards like a fan.

Pupil 2 : Choose a card and read the question to the third pupil.

Pupil 3 : Answer the question.

Pupil 4 : Give a response and comment the answers.



 Repeat the steps above by changing the pupils’ roles.
















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00 Praktis Go Maths Yr 6_PAK21.indd 1 12/05/2022 2:00 PM

Mathematics Year 6 PAK-21 Activity

Team Word-Web


2. 1 Pupils are divided into a few groups.

 The group leader writes the topic at the centre of a mahjong paper and forms an i-Think
map.

Double Bubble Map

Praktis GO! MATHEMATICS 6, 版权所有·侵权必究







The purpose
and importance
Purpose Importance
of Insurance &
Takaful












 Each group members is given a pen of different colours to write their ideas.

 Each group members writes one or two ideas on their mind map.































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00 Praktis Go Maths Yr 6_PAK21.indd 2 11/05/2022 11:11 AM

Mathematics Year 6 PAK-21 Activity

Role
Peta i-THINK

Play
3. 1 Pupils are divided into a few groups.

 Each pupil in the group is given the responsibility to play a role or character.


 Pupils make a presentation by playing the given role or character.


Example of situation:
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
1. Osaka is located on the east of Kuala Lumpur with a time difference of 1 hour.
2. Paris is located on the west of Kuala Lumpur with a time difference of 7 hours.




Example of activity:

1. Pupils indicate the time difference by stating the different times (a.m. and p.m.) between
two places.

2. Pupils act out the situation.












































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00 Praktis Go Maths Yr 6_PAK21.indd 3 11/05/2022 11:11 AM

Mathematics Year 6 PAK-21 Activity

Find the Fib


4. 1 Pupils are divided into several groups. Each group is given one situation.

 Pupils are given time to list three statements.


 Members of each group will give three explanations about something. They will present
two true explanations and one false explanation.
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
 Other group members will be asked to determine the incorrect statement and correct it.




Example of situation:

Title: Selling Price
3 statements:

1. The selling price is the buying price plus the prof t. (TRUE)

2. When there is a loss, the selling price is less than the buying price. (TRUE)
3. The selling price plus the discount is the buying price. (FALSE)










































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00 Praktis Go Maths Yr 6_PAK21.indd 4 11/05/2022 11:11 AM

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


THEME 1:
Practice Whole Numbers and
Numbers and Operations
1 Operations






Textbook pages: 1 – 60
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
SMART NOTES



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) Changing a whole number to the fraction
Left Right of 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 f xed = 1 3 million
number. Example: 10
15 200, 16 200, 17 200, 18 200  Divide the fraction with one million.
(Number pattern increasing by one  Simplify. Write the digits in fraction followed by
thousand) the word ‘million’.
(b) adding, subtracting, multiplying or dividing
the previous number according to a certain 5. Decimal of a million
number pattern. Example: (a) Changing the decimal of a million to a
500, 600, 800, 900, 1 300 whole number. Example::
1.39 million = 1.39 × 1 000 000
+ 100 + 200 + 300 + 400
3. A 7-digits whole number can also be stated = 1 390 000
in fraction or decimal followed with the word  Multiply the decimal number with one million.
million. Example:  Move the decimal point 6 places to the right.
Decimal → 4.693 million is said and written  Write the digits in whole number.
as four point six nine three million. (b) Changing a whole number to the decimal
3
Fraction → 2 million is said and written as of a million. Example:
5
two, three over f ve million. 19 000 = 19 000 ÷ 1 000 000
4. Fraction of a million
(a) Changing the fraction of a million to a = 0.019 million
whole number. Example:  Divide the decimal number with one million.
1 3  Move the decimal point 6 places to the left.
1 million = × 1 000 000  Write the digits in decimal followed by the word
2 2 ‘million’.
3 000 000
=
2
= 1 500 0 00


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01 Praktis Go Maths Yr 6_p1-11.indd 1 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations


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



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01 Praktis Go Maths Yr 6_p1-11.indd 2 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations

Objective Questions


Instruction:  Answer all questions. Choose one correct answer.

Whole number up to 10 000 000 A 3 469 782, 4 609 183,
1.1
4 651 899, 4 632 820
1. ‘Eight million seven hundred f ve thousand B 4 093 842, 4 246 913,
and thirty-four’ written in numerals is 4 082 134, 4 269 172
A 87 534 C 8 750 034 C 3 219 902, 3 259 142,
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
B 8 705 034 D 8 750 304 3 272 094, 3 276 842
D 6 289 143, 6 089 152,
2. 4 720 500 in words is
A Four million seventy-two thousand 5 642 300, 5 694 369
and f ve hundred 5. The diagram below shows a few number
B Four million seven hundred twenty cards.
thousand and f fty
C Four million seven hundred twenty 2 974 182 3 295 214
thousand and f ve hundred       P  Q
D Four million seven hundred two
thousand and f ve hundred 3 296 478 2 906 914

3. The diagram below shows numbers with       R  S
its place value. When all numbers are arranged in
descending order, which card will be in
the second position?
A P  C R
B Q D S

6. The diagram below shows a number
pattern.
Millions Hundred Ten Thousands Hundreds Tens Ones
Thousands Thousands 4 697 182, 4 707 182, 4 717 182, 4 727 182

The number represented by the diagram State the pattern of the number sequence.
is A Ascending order by one thousands
A two million f ve hundred thousand B Ascending order by ten thousands
three hundred and forty-nine. C Descending order by ten thousands
B two million f fty thousand three and D Descending order by one hundred
forty-nine. thousands
C two hundred f fty thousand three
hundred and forty-nine. 7. Seven, f ve over eight million written in
D two million fifty thousand three numerals is
hundred and forty-nine. 5 5
A 7 C 7 million
4. Which of the following sequence is 8 8
1
arranged in ascending order? B 75 million D 75 million
8 8


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01 Praktis Go Maths Yr 6_p1-11.indd 3 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations
8. 3.407 million in words is 16. 5 × RM72 million =
A three point four zero seven 9
B three point four hundred seven million A RM0.4 million C RM40 million
C three point four hundred zero seven B RM3.6 million D RM4.6 million
million
1
7
D three point four zero seven million 17. 2 million + 3 million + 7 500 =
5 10
A 5 975 000 C 5 867 500
9. 5 250 000 in fraction of a million is B 5 907 500 D 5 277 500
3 2
A 5 million C 5 million
4 5 18. The diagram below shows a mathematical
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
3 1
B 5 million D 5 million sentence.
5 4
(5 000 + 735 000) × 7 =

10. Which of the following is not equivalent to
4 500 000? Solve the mathematical sentence above
5 1 and determine the answer in the decimal
A 4 million C 4 million of a million.
10 5
1 9 A 5.495 million C 0.5495 million
B 4 million D million
2 2 B 5.18 million D 0.518 million
11. 0.075 million = 19. The diagram below shows a number line.
A 7 500 C 750 000 Applying
B 75 000 D 7 500 000 0.58 million P Q 0.62 million

Find the value of P + Q.
12. Which of the following is not true? A 20 000 C 1 200 000
A 7 025 000 = 7.025 million B 120 000 D 1 820 000
B 7 502 000 = 7.502 million
C 752 000 = 7.52 million 20. 25 000 × 20 =
D 7 005 000 = 7.005 million Solve the mathematical sentence above
and determine the answer in the fraction
Basic and mixed operations of a million.
1.2 1 1
A million C million
1 50 5
13. 2 million + 240 500 + 3.5 million =
2 1 1
A 5 790 500 C 6 240 500 B 20 million D 2 million
B 5 860 500 D 8 405 000

21. 2 million – = 500 000.
14. – 7.04 million = 40 thousand
Calculate the value in the empty box
What is the value in the empty box above? above and state the answer in fraction of
A 7 080 000 C 7 036 000 a million.
B 7 044 000 D 7 000 000 1 1
A 2 million C 1 million
2 2 2
15. 3 million ÷ 8 =
5 B 2 1 million D 1 1 million
A 40 625 C 406 250 20 20
B 42 500 D 425 000


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01 Praktis Go Maths Yr 6_p1-11.indd 4 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations
2 30. How many composite numbers are there
22. 6 million – 3 050 000 ÷ 5 =
5 between 0 until 10?
A 640 000 C 5 640 000 A 4 C 6
B 3 350 000 D 5 790 000 B 5 D 7
1
23. 6 million ÷ (3.452 million – 3 451 000) = 1
2 31. A food factory produces 2 million tins of
5
A 65 C 6 500 Applying biscuits. All of them are distributed equally
B 650 D 65 000 to 400 supermarkets all over the country.

24. 80 500 × (5 000 ÷ 100) = Which of the following is the number of tins
A 4.25 million C 0.425 million of biscuits received by each supermarket?
B 4.025 million D 0.4025 million A 550 C 5 375
B 5 050 D 5 500

Prime numbers and composite 32. The table below shows the number of
numbers Mathematics activity books printed by a
1.3
printing company.
25. Which of the following is a list of prime
numbers? Year Number of books
A 2, 5, 7, 9 C 3, 5, 7, 11 2019 0.64 million
B 1, 2, 3, 5 D 2, 5, 7, 9 2020 452 500

26. Which of the following is a composite 2021
1
number? Total 3 million
4
C 4
A 1 Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
B 3 D 11 Calculate the number of books printed in
the year 2021.
27. The following is an incomplete number A 1 092 500 C 2 157 500
sentence.
B 2 047 500 D 4 342 500
+ = 8
33. A company sells 5.54 million pieces of
Which of the following pair of solution kids’ shirts and 3 060 500 pieces of adults
consists of both prime numbers? shirts in a year. What is the difference
A 8 and 0 C 4 and 4 between the numbers of the two types of
B 3 and 5 D 1 and 7 shirts sold?
A 2 479 500 C 8 600 500
28. Which of the following pair of composite B 2 506 500 D 3 614 500
numbers has 15 as its solution?
1
A 5 + 10 C 6 + 9 34. A total of 2 million people visited the
B 1 + 14 D 2 + 13 4
National Planetarium last year. This year,
Problem solving the number of visitors is expected to
1.4 increase by 0.5 million people. Calculate
29. How many prime numbers are there the estimated number of visitors for this
between 50 and 70? year.
A 3 C 6 A 1 640 000 C 2 640 000
B 4 D 8 B 1 750 000 D 2 750 000


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01 Praktis Go Maths Yr 6_p1-11.indd 5 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations
2 1
35. A factory produced 1 million bottles 38. A factory distributed 1 million of school
5 8
Applying of cooking oil. 75 thousand bottles of bags to 250 supermarkets. Calculate the
cooking oil were kept in the warehouse. number of school bags received by 10
The remaining bottles were distributed supermarkets.
to 10 wholesalers. How many bottles of A 472 C 4 720
cooking oil did each wholesaler receive? B 4 500 D 45 000
A 65 000 C 132 500
B 117 500 D 140 000 39. A factory produced 4.6 million pairs of
Applying gloves. 2 620 000 pairs of gloves were
36. The total number of books sold by a sent to private hospitals and the remaining
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
publishing company in the year 2021 gloves were distributed equally to 22
1
is 2.056 million. 1 million of the total private clinics. How many pairs of gloves
4
number of books are story books, while did each private clinic receive?
A 9 000
the rest are academic books. Calculate the
number of academic books sold in that B 90 000
year. C 198 000
A 1 031 000 C 856 000 D 209 090
B 916 000 D 806 000 40. The product of two numbers is 4.24 million.
37. 1.803 million people visited a book fest Analysing If the f rst number is 20 thousand, what is
that was held for 12 days in Kuala Lumpur. the second number?
Analysing
Calculate the average number of people A 2.12
that came in a day. B 21.2
A 15 025 C 150 025 C 212
B 83 400 D 150 250 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) Change the number 2.309 million to
composite numbers between 50 and whole number. PL 2
60. PL 3
Bubble Map



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



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01 Praktis Go Maths Yr 6_p1-11.indd 6 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations
(a) Mark 3 at the correct whole number for (a) State the number of newspapers
the number stated in the diagram. donated in decimal of a million. PL 4
PL 2

6 450 000

6 800 000
(b) Calculate the number of newspapers

6 950 000 Applying received by 15 schools. PL 4

Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
(b) What is the value that needs to be
added to the number in the diagram
so that the total becomes 8.2
million? PL 3



5. (a) List the prime numbers bigger than
70 and lesser than 90. PL 4


3. A factory produced 1.25 million boxes
of various f avoured milk in June. The
production of milk in July increased by
0.05 million compared to June. (b) Calculate the number of composite
(a) State the number of boxes of milk numbers between 30 and 50. PL 3
produced by the factory in June in
whole numbers. PL 2






6. The diagram below shows the volume of
(b) Calculate the total number of milk a bottle f lled with orange juice.
boxes produced by the factory in the
duration of two months. PL 2



500 ml
(a) How many bottles are needed to f ll
2.005 million mℓ of orange juice?
PL 4
4. A charity association donates a total of
6 450 000 copies of newspapers to 1 000
schools equally in a year.




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01 Praktis Go Maths Yr 6_p1-11.indd 7 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations
(b) After f lling up 100 similar bottles with (b) The number of buttons produced
orange juice, Tina still has 390 mℓ in June is 1 million lesser than in
20
of the orange juice. Calculate the May. Calculate the number of buttons
initial volume of orange juice that Tina produced in June. PL 4
had. PL 4






9. The diagram below shows 6 pieces of
June Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
7. The total population of a city is 2 500 000 number cards.
people.
(a) State the total number of people in 1 9 5 8 2 3
decimals of a million. PL 2
(a) Form a largest number by using prime
digits in the diagram above. PL 3



(b) From the total number of people in
the city, 1 390 000 are adults and the
Analysing
remaining are children. If 509 546 of (b) State the number of cards that has
the total number of children are girls, composite numbers. PL 3
calculate the number of boys. PL 5








8. The table below shows the number 10. The diagram below shows a number line.
of buttons produced by a factory in 2
months. The number of buttons produced 10 350 10 550 M 10 950
in June is not stated.
(a) State the number pattern for the
Number of above sequence. PL 3
Month
buttons
April 764 912
May 794 088


(a) Calculate the total number of buttons (b) Solve (M + 250) × 100. State the
produced in the months of April and answer in fraction of a million. PL 3
May. State the answer in decimal of
a million. PL 4







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01 Praktis Go Maths Yr 6_p1-11.indd 8 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations
11. The diagram below shows three pieces of 12. A factory produced 0.42 million pens. From
two-dimensional number cards. the total, 1 million are red pens and the
20
1 rest are black and blue pens.
3 0.25
4 50 000 (a) State the number of red pens in whole
million million number. PL 2

(a) Write the number on card in
whole number. PL 2

Praktis GO! MATHEMATICS 6, 版权所有·侵权必究

(b) If the number of blue and black pens
(b) Solve the mathematical sentence
below. PL 3 are the same, determine the number
of black pens. PL 4
( – ) × 24 =










HOTS Practice




1. Number 1 494 325 is the f rst 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 of balloons.

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.
















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01 Praktis Go Maths Yr 6_p1-11.indd 9 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations



Mastery Practice 1




Instruction:  Answer all questions. 

1. ‘Five million four hundred seven thousand 7. The table below shows the total number
and eighty-nine’ in numerals is of magazines sold in three months.
A 5 470 890
B 5 407 089 Magazine Total sales
C 5 407 890 2
D 54 789 Entertainment 5 million

2. 12.943 million in words is Comic 0.92 million more than
A twelve point nine hundred and forty- the entertainment
three million magazines
B twelve point nine four three million Calculate the total number of magazines
C twelve point nine hundred four three sold in the 3 months.
million A 1 170 000
D one two point nine four three million
B 1 320 000
3. 4 750 000 in fraction of a million is C 1 420 000
D 1 720 000
3
2 Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
A 5 million C 4 million
5 4
7 3 8. The table below shows the number of
B 4 million D 4 million gloves produced by a factory from April
10 5
till June.
4. Which of the following is true?
A 4 025 000 = 4.25 million Month Number of gloves (pairs)
B 4 405 000 = 4.45 million 3
C 4 750 000 = 4.075 million April 1 million
8
D 4 925 000 = 4.925 million
May 1 650 000
1
5. 2 million + 934 095 + 4.05 million = June 1.05 million
2
A 7 023 095 The factory has to achieve a production
B 7 104 095 target of 4 500 000 pairs of gloves in the
C 7 484 095
D 7 934 095 three months. How many more pairs of
gloves need to be produced to achieve the
3 production target for the three months?
6. 1 million ÷ 25 =
4 A 420 000
A 53 600 B 425 000
B 70 000 C 1 075 000
C 536 000
D 700 000 D 2 575 000


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01 Praktis Go Maths Yr 6_p1-11.indd 10 11/05/2022 11:12 AM

Mathematics Year 6 Practice 1 Whole Numbers and Operations
1
9. A company produces 1 million branded 3
4 12. A total of million pupils took an admission
4
T-shirts every month. 0.75 million of the test for a national program. The number of
total number of T-shirts are exported and
the remaining are sold in the local market. male candidates attended is 15 450 lesser
Calculate the number of branded T-shirts than the female candidates.
sold in the local market in 5 months. (a) State the total number of pupils that
A 0.1 million took the admission test in whole
B 1.95 million number.
C 2.5 million
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
D 6.25 million
9
10. A factory produces 3 million of drinking
10
glasses in a year. The number of glasses
produced in every month is the same. (b) Calculate the number of male
Calculate the total number of drinking candidates who took the test.
glasses produced in 3 months.
A 325 000
B 975 000
C 1 170 000
D 1 300 000

11. A factory produces 2.82 million calculators 13. (a) List the composite numbers between
in 6 months. 10 and 30.
(a) Calculate the average number of
calculators produced in 1 month.





(b) The diagram below shows six number
cards.

9 3 7 2 6 1
(b) From the total number of calculators
produced, 369 490 are distributed to By using the prime number digits
wholesalers, 250 450 to bookshops on the cards above, form a smallest
and the rest are kept in the warehouse. number.
Calculate the number of calculators
kept in the warehouse.














11 © Penerbitan Pelangi Sdn. Bhd.






01 Praktis Go Maths Yr 6_p1-11.indd 11 11/05/2022 11:12 AM

Mathematics Year 6 Practice 5 Measurement
Name:........................................................................... Class:.............................. Date:.......................

THEME 2:
Practice Measurement and Geometry

5 Measurement






Textbook pages: 155 - 164
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
SMART NOTES


Three basic measurements: (c) relation between units of mass:

1. Length
1 kg = 1 000 g
(a) measures distance or height.
(d) conversion between units of mass
(b) measuring tools: rulers, measuring tapes measurement:
and others.
× 1 000
kg g
(c) relation between units of length: ÷ 1 000


1 cm = 10 mm
1 m = 100 cm
1 km = 1 000 m
3. Volume of liquid

(d) conversion between units of length (a) measures the capacity of a container
measurement: f lled with liquid.
× 1 000 × 100 × 10
km m cm mm (b) measuring tools: beakers, measuring
÷ 1 000 ÷ 100 ÷ 10 cylinders and others.

(c) relation between units of volume of liquid:

1 ℓ = 1 000 mℓ
2. Mass

(a) measuring the mass quantity of an object. (d) conversion between units of volume of
liquid measurement:
(b) measuring tool: weighing scale.
× 1 000
ℓ mℓ
÷ 1 000







© Penerbitan Pelangi Sdn. Bhd. 38






05 Praktis Go Maths Yr 6_p38-44.indd 38 11/05/2022 11:14 AM

Mathematics Year 6 Practice 5 Measurement

Objective Questions


Instruction:  Answer all questions. Choose one correct answer.

Problem solving 4. The diagram below shows the height of
5.1
Analysing water level in a container.
1
1. Puan Minah uses 1 kg of green peas to
2
prepare 6 ℓ of green pea porridge. Find
10 cm
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
the volume, in ℓ, of green pea porridge
that can be prepared using 5 kg of green The volume of water in the container
peas. is 1 500 mℓ. The height of the container
A 12 C 20 is 18 cm. What is the volume, in mℓ, of
B 18 D 30 additional water needed to f ll the container
until full?
2. The diagram below shows the ingredients A 1 000 C 1 350
Analysing needed to make watermelon juice. B 1 200 D 1 400
5. A rectangular cake which weighs 4 860 g
Watermelon Juice Analysing is cut into 3 different sizes as shown in the
Recipe diagram below.

1.5 kg of watermelon P Q R
2 of water
0.25 kg of sugar
15 cm 7 cm 5 cm
The width and height of each piece is the
Maria bought 3.75 kg of watermelon. same. Calculate the mass, in g, of the
Calculate the volume of water needed piece of cake labelled P.
to make watermelon juice using all the A 1 260 C 2 700
watermelons that she bought. B 2 160 D 3 600
A 4 ℓ C 5 ℓ 6. 600 g of sugar is needed to make 10 ℓ of
B 4.5 ℓ D 5.5 ℓ syrup drinks. If Salina wants to make 25 ℓ
of syrup drinks, what is the mass of sugar,
3. The diagram below shows the distance in g, that she needs?
Analysing between 3 towns. A 150 C 1 500
Town P Town Q Town R B 900 D 2 100
20 km 48 km
7. When preparing black glutinous porridge,
The usage of petrol for Encik Azman’s car Puan Maimun used 250 mℓ of coconut
is 16 km for every 1 liter of petrol. Calculate milk for every 200 g of glutinous rice.
the volume of petrol needed, in ℓ, by Encik If Puan Maimun wants to make black
Azman to travel from Town P to Town R glutinous porridge using 500 g of glutinous
through Town Q. rice, calculate the volume of coconut milk,
in mℓ, that she needs.
A 1.25 C 4.25 A 525 C 625
B 3.25 D 6.25 B 550 D 650



39 © Penerbitan Pelangi Sdn. Bhd.






05 Praktis Go Maths Yr 6_p38-44.indd 39 11/05/2022 11:14 AM

Mathematics Year 6 Practice 5 Measurement

8. The diagram below shows two containers 11. Borhan wants to paint his house walls.
of different heights with the same base The shopkeeper said that the wall area of
size. 12 m needs 5 ℓ of paint. After calculating
2
the wall areas in his house that he
wants to paint, Borhan found out that he
needs 22.5 ℓ of paint. Determine the wall
16 cm
2
A 10 cm area, in m , of his house that he wants
B to paint.
A 1.8 C 48
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
Both the containers are f lled till full with B 4.5 D 54
water. The volume of water in container B is
800 mℓ. Determine the volume of water, 12. The diagram below shows the consumption
in mℓ, for container A. Analysing of petrol and the distance that can be
A 480 C 1 280 travelled using the petrol.
B 960 D 1 680
Petrol Distance
9. The diagram below shows part of a recipe 1.2 ℓ 10 km
Analysing to bake a type of cake.
The quantity of petrol in Encik Murad’s
Butter 115 g car tank is 8.5 ℓ. He f lled another
Fresh milk 250 mℓ 13.8 ℓ of petrol. Using the petrol, what is
the distance, in km, that Encik Murad’s car
The recipe above is for one cake. Puan can travel before he needs to f ll petrol
Tina has 400 mℓ of fresh milk. If Puan Tina again?
wants to bake a cake using all the fresh A 115.83 C 211.83
milk, what is the quantity of butter needed, B 185.83 D 223.83
in g?
A 184 C 265 13. The diagram below shows the height of
B 230 D 365 Analysing f our in a container.


10. The incomplete table below shows the
area of two water containers and the
volume of water that can be f lled in it.
The volume of water in container N is not 12 cm
shown.

Container Area (cm ) Volume (mℓ) The mass of f our in the container is 800 g.
3
M 100 1 200 Mala uses 450 g of the f our and then f lls
N 145 another 850 g of f our in the container.
Calculate the height, in cm, of f our that is
Calculate the volume of water, in mℓ, that in the container.
can be f lled in container N. A 12 C 20
A 540 C 1 740 B 18 D 24
B 1 245 D 1 800


© Penerbitan Pelangi Sdn. Bhd. 40






05 Praktis Go Maths Yr 6_p38-44.indd 40 11/05/2022 11:14 AM

Mathematics Year 6 Practice 5 Measurement
14. The table below shows the quantity of 15. The diagram below shows a water tank.
ingredients needed to make one mixture Analysing
of biscuits.

Ingredient Quantity 15 cm
Icing sugar 40 g 60 cm
Wheat f our 40 g 60 cm
Vanilla essence 2.5 mℓ
The water tank is f lled with 54 ℓ of water.
Ain prepares one mixture that contains If the full capacity of water in the tank is
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
100 g of wheat f our. Calculate the quantity, 144 ℓ, calculate the height of water, in cm,
in mℓ, of vanilla essence needed. when the tank is f lled full with water.
A 3.75 C 6.25 A 30 C 50
B 5.25 D 6.75 B 40 D 60





Subjective Questions


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


1. Murad works as a school van driver. 2. The diagram below shows the volume
The school van can travel for a of water in a beaker before and after
distance of 60 km with every 5 ℓ 5 similar metal balls are put into the
of petrol. container.
(a) Calculate the distance that the school
van can travel if Murad f lls 45 ℓ of 1000 1000
petrol. PL 4 800 800
600 600
400 400
200 200

Before After
(a) Calculate the increase in volume of
water, in mℓ, for each metal ball that
(b) Murad brought school pupils for a is put into the beaker. PL 4
trip to Penang where the distance is
Analysing
475 km from school. Determine the
volume of petrol needed for the trip (b) The total mass of the 5 metal balls is
to and fro. PL 5
Analysing 75 g. If a few more similar metal balls
with a total mass of 120 g are put into
the beaker, calculate the volume of
water, in mℓ, in the beaker. PL 5







41 © Penerbitan Pelangi Sdn. Bhd.






05 Praktis Go Maths Yr 6_p38-44.indd 41 11/05/2022 11:14 AM

Mathematics Year 6 Practice 5 Measurement
3. The diagram below shows the mass and (b) How many barrels of paint with the
length of a nail. volume of 5 ℓ that Encik Mazlan needs
to buy?


5 cm
30 g
(a) A few nails were arranged by
connecting each end of the nail with
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
the tip of another nail. Calculate the
mass, in g, for all nails arranged for 5. A piece of aluminum with the length of
1
the length of 40 cm. PL 4 1 m has a mass of 18 kg. A contractor
2
wants to put the aluminum on the wall
of a restaurant kitchen. The length of the
restaurant kitchen is 3.5 m. Calculate the
(b) Amira bought 870 g of the nails. She total mass of aluminum, in kg, needed to
arranged all the nails by connecting cover the wall. PL 5
each end of the nail with the tip of
another nail. Find the total length, in
cm, of the arranged nails. PL 5








4. The diagram below shows the volume of
a barrel of paint.
6. 1.2 ℓ of petrol can be used to travel a
Paint Analysing distance of 10 km. The distance between
Sarah’s house and her off ce is 45 km and
she works 5 days in a week. Sarah f lls
5 litre 63 ℓ of petrol in her car to go to off ce. Is
the quantity of the petrol enough for her
A barrel of paint can be used to draw a to go to and fro between her house and
line of 400 m long. Encik Mazlan wants off ce for a week? Prove your answer.
to paint a track in the school f eld. He PL 5
needs to draw a line with the length of
1 360 m.
(a) Calculate the volume of paint, in ℓ,
that he needs. PL 4










© Penerbitan Pelangi Sdn. Bhd. 42






05 Praktis Go Maths Yr 6_p38-44.indd 42 11/05/2022 11:14 AM

Mathematics Year 6 Practice 5 Measurement


HOTS Practice



1. Azman bought 2.5 ℓ of detergent to wash 60 kg of clothes. Given that every 2 kg of clothes
needs 0.1 ℓ of detergent. Determine whether the detergent that he bought is enough to wash
all of the clothes. Give your reason.




Praktis GO! MATHEMATICS 6, 版权所有·侵权必究


2. The diagram below shows a signboard that is placed in town F.

Town G 80 km
Town H 145 km






Puan Zaimah travels from town F to town H through town G. The usage of petrol for Puan
Zaimah’s car is 18 km for every 1 ℓ of petrol. When she left town F, the volume of petrol in
her car was 5.8 ℓ. Puan Zaimah intends to f ll 4.7 ℓ petrol when she arrives in town G. Is
the total petrol enough for her to travel from town F to town H? Prove your answer.
















Mastery Practice 5




Instruction:  Answer all questions.
1. The diagram below shows a bottle f lled Suresh f lled the bottle till full as much as
with water owned by Suresh. 1 500 mℓ. After 2 hours, the water in the
bottle was at the height of 5 cm. Calculate
the volume, in mℓ, of water left.
A 93.75 C 468.75
16 cm
B 281.25 D 600.25




43 © Penerbitan Pelangi Sdn. Bhd.






05 Praktis Go Maths Yr 6_p38-44.indd 43 11/05/2022 11:14 AM

Mathematics Year 6 Practice 5 Measurement

2. A metal rod with the length of 1 500 cm (a) Calculate the volume of water needed,
has a mass of 3 600 g. A worker cut the in ℓ.
rod into three parts with the length of
750 cm, 500 cm and 250 cm respectively.
Calculate the mass, in g, of the metal rod
with the length of 250 cm.
A 600
B 750
C 1 200 (b) Calculate the mass of sugar needed,
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
D 1 800 in g.

3. The table below shows the recipe to make
12 muff ns.

Ingredients Quantity
(c) Calculate the total mass of orange
Flour 225 g juice that can be produced by Arissa.
Brown sugar 120 g
Milk 160 mℓ
Chocolate powder 75 g

Mastura has 450 g of f our. She wants to
use all the f our to make muff ns. Which of
the following statement is not true? 5. A container contains 1 200 g of sugar.
A The quantity of milk needed is 320 mℓ. Salmah used 800 g of the sugar to make
B The quantity of chocolate powder 12 ℓ of apple juice.
(a) Calculate the mass, in g, of sugar
needs to be added 2 times the original needed to make 3 ℓ of apple juice.
quantity.
C The quantity of brown sugar needed
is 360 g.
D The number of muff ns that can be
produced is 24.

4. The table below shows the ingredients (b) If Salmah intends to make another
needed to make 3 ℓ of orange juice. 10 ℓ of apple juice, is the sugar in
the container enough? Prove your
Ingredients Quantity
answer.
Oranges 1.5 kg
Water 2 ℓ
Sugar 250 g

Arissa bought 3.75 kg of oranges. She
wants to make orange juice using all of
the oranges that she bought.



© Penerbitan Pelangi Sdn. Bhd. 44






05 Praktis Go Maths Yr 6_p38-44.indd 44 11/05/2022 11:14 AM

ANSWERS




Practice 1 Whole Numbers and Operations 13. B 14. D 15. C 16. C 17. C 18. C
19. B 20. C 21. C 22. C 23. D 24. C
Objective Questions 25. B 26. C 27. D 28. D 29. C 30. D
1. B 2. C 3. D 4. C 5. B 6. B 31. B 32. C 33. A 34. D 35. C 36. D
7. C 8. D 9. D 10. C 11. B 12. C 37. B 38. A 39. B 40. D 41. B 42. A
13. C 14. A 15. D 16. C 17. B 18. B 43. B 44. B 45. B 46. D 47. C 48. D
19. C 20. D 21. C 22. D 23. C 24. B
7. D Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
25. C 26. C 27. B 28. C 29. B 30. B Subjective Questions
31. D 32. C 33. A 34. D 35. C 36. D 1. (a) 250 ; 832% (b) 345%; 7.55
100
37. D 38. D 39. B 40. C 2. (a) 0.625 kg (b) 17
3. (a) 9 (b) 0.25 ℓ
Subjective Questions 4. (a) RM50.15 (b) 5
1. (a) 51, 52, 54, 55, 56, 57, 58 5. The mass of sugar available = 10.3 kg
(b) 2 309 000 The mass of sugar needed for 25 trays of biscuits
2. (a) 6 800 000 3 = 25 × 0.54 kg
2
(b) 1 400 000 / 1.4 million / 1 million = 13.5 kg
5
3. (a) 1 250 000 (b) 2 550 000 / 2.55 million Therefore, the sugar in the container is not enough to
4. (a) 6.45 million (b) 96 750 prepare all biscuit orders.
5. (a) 71, 73, 79, 83, 89 (b) 14 6. (a) 3.325 km
6. (a) 4 010 (b) The distance of Siva’s run in a week
(b) 50 390 mℓ / 50.390 ℓ / 50 ℓ 390 mℓ = 3.325 km × 7
7. (a) 2.5 million (b) 600 454 = 23.275 km
8. (a) 1.559 million (b) 744 088 Therefore, the statement is not true.
9. (a) 532 (b) 2 pieces of cards HOTS Practice
10. (a) Ascending order by two hundreds
1 1. 0.45 kg
(b) 1 million
10 2. The number of curtains that can be sewn in a day
11. (a) 3 250 000 1 3
4 = 6 hours ÷ hour
(b) 4 800 000 / 4.8 million / 4 million 2 4
5
12. (a) 50 000 (b) 185 000 ≈ 8.67
= 8
HOTS Practice The number of curtains that can be sewn in 5 days
1. 2 993 650 = 8 × 5
2. The number of red balloons needed = 40
0.15 million = 150 000 Yes, Trisha can complete the orders in 5 days.
The number of red balloons obtained if Mani buys 6 boxes
of the balloons Mastery Practice 2
= 24 750 × 6 = 148 500 1. C 2. D 3. C 4. D 5. B
Therefore, Mani does not get the number of red balloons 6. 314%
needed if he buys the same 6 boxes of balloons.
7. (a) 0.875 km (b) 30.625 km
8. (a) 376.41 (b) 15
Mastery Practice 1
1. B 2. B 3. C 4. D 5. C 6. B Practice 3 Money
8. B 9. C 10. B
47
11. (a) 470 000 / 0.47 million / 100 million Objective Questions
(b) 2 200 060 1. C 2. B 3. B 4. C 5. D 6. C
12. (a) 750 000 (b) 367 275 7. D 8. C 9. D 10. B 11. A 12. C
13. (a) 12, 14, 15, 16, 18, 20,21, 22, 24, 25, 26, 27, 28 13. D 14. C 15. A 16. D 17. B 18. C
(b) 237 19. C 20. C
Practice 2 Fractions, Decimals and Percentages Subjective Questions
Objective Questions 1. Siva’s net assets
= RM3 725 900 – RM1 632 914
1. C 2. B 3. C 4. C 5. C 6. C = RM2 092 986
7. D 8. C 9. B 10. D 11. B 12. B


A1 © Penerbitan Pelangi Sdn. Bhd.






10 Praktis Go Maths Yr 6_J1-J4.indd 1 11/05/2022 11:17 AM

Mathematics Year 6 Answers

Total amount of petrol needed from town F to town H (b) Y
225 km
= × 1 ℓ
18 km
= 12.5 ℓ
3 cm
Total amount of petrol
= 5.8 ℓ + 4.7 ℓ
= 10.5 ℓ
Therefore, the total amount of petrol is not enough for Puan O
Zaimah’s journey from town F to town H.
Mastery Practice 5
1. C 2. A 3. C
Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
4. (a) 5 ℓ (b) 625 g (c) 7.5 ℓ
5. (a) 200 g
(b) The remaining sugar in the container HOTS Practice
= 1 200 g – 800 g
= 400 g 1. 20 cm
The total amount of sugar needed (a)
10 ℓ (b)
= × 800 g
12 ℓ O A
= 666.67 g 10 cm
Therefore, the amount of sugar is not enough to make
another 10 ℓ of apple juice.
Practice 6 Space
Objective Questions Mastery Practice 6
1. A 2. B 3. C 4. B 5. D 6. D 1. C 2. C
7. C 8. C 9. B 3. 4.
Subjective Questions
1. (a) (b) 120° L
2 cm
J K
O
K
[Accept other correct answers]
2. (a) 120° (b) 60° (c) 90°
3. (a) (b) Practice 7 Coordinates, Ratio and Proportion

Objective Questions
90° 60° 1. C 2. C 3. C 4. C 5. B 6. C
S T
S T 7. B 8. D 9. C 10. C 11. B 12. B
(c) 13. A 14. D 15. B 16. B 17. C 18. A
19. B 20. B 21. A 22. C 23. C 24. C
25. C 26. C
120° Subjective Questions
S T
4. 1. (a) 18 : 21 18
Circumference 30
Radius 35
(b) 3 : 5
49
(c) 6
Centre 12 : 21
7
5. (a) Centre (b) Diameter 4
(c) Radius (d) Circumference (d) 5 : 7 7
6. (a)
2. (a) 10 cm
(b) 9 : 16
Y 1.5 cm 3. (a) (i) 9 : 7 (ii) 4 : 1 (iii) 12 : 5
O

A3 © Penerbitan Pelangi Sdn. Bhd.






10 Praktis Go Maths Yr 6_J1-J4.indd 3 11/05/2022 11:17 AM

Mathematics Year 6 Answers

(b)
5 : 7 Mastery Practice 8
and
15 : 35 1. B 2. C 3. C
4. (a) Impossible
3 (b) Impossible
4. (a) 5. Impossible
y 6. (a) Green
10 (b) 45°
9 Mila’s house
8
7 Year-End Assessment
6
5 Tina’s house Objective Questions
4 1. D 2. C 3. D 4. D 5. C 6. D
3 7. C 8. D 9. A 10. D 11. B 12. A
2 Vani’s house 13. B 14. C 15. B 16. B 17. A 18. C
1
x 19. B 20. C 21. B 22. A 23. D 24. C
O
1 2 3 4 5 6 7 8 9 10 25. B 26. C 27. C 28. A 29. A 30. A
(b) 500 m horizontal and 400 m vertical; 900 m 31. D 32. B 33. D 34. C 35. B 36. B
5. (a) 25 (b) 5 : 16 37. D 38. C 39. C 40. C
HOTS Practice Subjective Questions
1. 55 marbles 1. (a) 3
2. 20 years 6
Composite number
9
Mastery Practice 7 11
1. C 2. C 3. D 4. B 5. D (b) 2 : 7
6. (a) 45 km (b) 48 km 2. (a) 45°
(c) (b) 21 cm
Post off ce 3. (a) Town S
3 (b) 8 662 500
7. RM425 4. (a) Three point two four f ve million
(b) 6 490 000

8. 1 : 6 Praktis GO! MATHEMATICS 6, 版权所有·侵权必究
9. (a) 7 (b) 60 5. (a) (i) 3
(iv) 3
Practice 8 Data Handling and Likelihood (b) (i) 3 000 m horizontal and 2 500 m vertical
(ii) Mosque

Objective Questions 6. (a) 2.175 million
(b) 2 625 000
1. B 2. C 3. D 4. B 5. D 6. A 7. 20 cm
7. B 8. C 9. C 10. C 11. D 8. (a) 13 (b) 0.45 ℓ
9. (a) 54 km (b) 145 ℓ
Subjective Questions
10. (a) 1 kg (b) 0.2 ℓ
1. (a)
Favourite colour Black Blue White Red 11. 11 books with a balance of RM2.80.
Angle 180° 90° 45° 45° 12. (a) Wednesday, 0530 hours / 5:30 a.m.
Number of 24 12 6 6 (b) Kugan was unable to watch the match until the end
pupils because the match ended at 7:15 a.m..
13. (a)
(b) Black Club Number of Angle in pie
(c) 18 pupils chart
2. (a) (i) More likely Bahasa Melayu 16 180°
(ii) Impossible English 8 90°
(b) A white ball is taken from the box. Mathematics 4 45°
3. (a) 90° (b) 60 kg (c) 90 kg Science 4 45°
4. (a) 45° (b) 60
(b) (i) Bahasa Melayu
HOTS Practice (ii) Science
1. Most likely because the number of red marbles is the (iii) English
highest. 14. (a) RM35
2. (a) Less likely (b) RM378
(b) (i) Daniel wears a black shirt. 15. (a) RM316.80
(ii) Daniel wears a yellow shirt. (b) RM64
[Accept other reasonable answers]


© Penerbitan Pelangi Sdn. Bhd. A4






10 Praktis Go Maths Yr 6_J1-J4.indd 4 11/05/2022 11:17 AM

PRAKTIS GO! KSSR series features
various practices to supplement
the textbooks. These practices are
useful as enrichment materials and TYPC256032
formative assessments to gauge
pupils’ learning. The concept of
HOTS is also incorporated in the
practices to fulf l the latest
requirements.


A summative assessment is also
provided to assess pupils’ overall
achievement. This series is
indeed the best choice
to enhance teaching and
learning in the subject.


Subject/ English Mathematics Science Tatabahasa Penulisan Grammar Writing
Year

1
2

3 KSSR
4 KURIKULUM STANDARD SEKOLAH RENDAH
SEMAKAN
5
STANDARD KUALITI
6



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