Praktis Pintar KSSM Maths - Yr 5

PELANGI

Practice Makes Perfect!
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
MATHEMATIC S

Notes For the 21st Century Learner Cammellia Othman
Topical Practices
SCAN ME
Practices Based on DSKP
5YEAR
PAK-21 Activities
SEMAKAN
Year-end Assessment KSSR

HOTS & i-THINK

Complete Answers

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.Contents

PAK-21 Activity..................................................................................................................... i – iv
THEME 1 Numbers and Operations

Practice 1 Whole Numbers and Operations .........................................................1 – 9
Practice 2 Fractions, Decimals and Percentages ............................................. 10 – 17
Practice 3 Money .............................................................................................. 18 – 24

QQ 24
THEME 2 Measurement and Geometry

Practice 4 Time .................................................................................................. 25 – 31
Practice 5 Length, Mass and Volume of Liquid ...............................................32 – 38
Practice 6 Space ................................................................................................39 – 47

QQ 47
THEME 3 Relationship and Algebra

Practice 7 Coordinates, Ratio and Proportion .................................................48 – 56
QQ 56

THEME 4 Statistics and Probability

Practice 8 Data Handling .................................................................................57 – 64
QQ 64

Year-End Assessment ................................................................................................. 65 – 80
Answers ...................................................................................................................... A1 – A4

PAK-21 Activity

Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 1. The diagram below shows several number cards.MIX and MATCH

278 345 18 000 540 012 420 760 700 000

    

1 Make the number cards using cardboard. You can make more than number cards shown

above.
2 Pupils are divided into several groups.
3 Group 1 is given card numbers written in numerals.
4 Group 2 is given card numbers written in words.
5 Pupils who get the numbers would look for numerals and words that match the cards in their

hands.
6 Pupils who have found their matches would stand before the class with their number cards in

their hand.
7 Other pupils would respond whether the matches to the number cards are right or wrong.
8 Take turns according to the groups.

i © Penerbitan Pelangi Sdn. Bhd.

    Mathematics  Year 5 PAK-21 Activity Role Play

2. The diagram below shows the models of items to be sold.

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.RM1 700RM1 550RM650 RM450.50

1 Produce the models of the items above by using cardboard.

2 Produce some sample of money.

3 Form a group of 4 members in each group.

4 Carry out a sales and purchase session and take turns according to groups.

5 Record the money spent and the income from the sales.

Example of work done: Unit Total price
Sales 3 RM5 100
2 RM3 100
No. Items sold 2 RM1 300
1 Mobile phone Total RM9 500
2 Television
3 Cupboard

Expenditure Unit Price
1 RM1 700
No. Items bought 1 RM1 550
1 Mobile phone 1 RM450.50
2 Television Total RM3 700.50
3 Fan

© Penerbitan Pelangi Sdn. Bhd. ii

  Mathematics  Year 5 PAK-21 Activity   

i-PTeHtaINi-KTHmIaNpKs

3. The diagram below shows the position of vegetables on a Cartesian plane. Complete the
bridge map below based on the diagram.

y

8

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.7 Long bean

6 Mustard
Carrot Cucumber

5

4

3 Brinjal Corn

2 Stink
beans

1 Pumpkin Cabbage

x
0

1 23456789

is a coordinates of (1, 6) as (6, 5) as (3, 7)
Relating factor (a) (b) (c)

is at the coordinates Stink beans as Cabbage as Corn
Relating factor (d) (e) (f)

is the coordinates of (5, 5) as (2, 1) as (6, 3)
Relating factor (g) (h) (i)

iii © Penerbitan Pelangi Sdn. Bhd.

    Mathematics  Year 5 PAK-21 Activity Fan-N-Pick

4. The diagram below shows the question cards chosen by the pupils.

How many years How many decades is How many decades is
is equivalent to 5 equivalent to 20 years? equivalent to 12 years?
decades?
How many hours is How many hours
How many years is equivalent to 3 days? is equivalent to 90
equivalent to 1 century? minutes?
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How many months is How many minutes is How many days is
equivalent to 3 years? equivalent to 5 hours? equivalent to 4 weeks?

1 Make several question cards involving time using cardboard. The question cards can be more
than the cards shown.

2 Take turns to play each role.
Pupil 1 : Arrange the cards like a fan.
Pupil 2 : Choose the card and read the questions to the rest of the pupils.
Pupil 3 : Answer the questions.
Pupil 4 : Give a response and comment the answers given by your friend.

3 Repeat the activity with other friends.

© Penerbitan Pelangi Sdn. Bhd. iv

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

2Practice THEME 1:
Numbers and Operations

Fractions, Decimals and
Percentages

Penerbitan Pelangi Sdn Bhd. All Rights Reserved. Textbook pages: 65 – 90

Smart Notes

Fractions Example: 13.786 + 4.907 – 12.825 =

1. Multiplication of fractions. 11 7 16 8 13

(a) When a fraction is multiplied with a whole 13.786 1 8.693
number, the product is a part of the whole + 4.907 – 1 2.825
number.
1 8.693 5.868

Example:

1 of 15  →  1 × 15 = 15 3. Multiplying decimals
3 3 3
Example : 3.295 × 15 =
means multiply =5
1 42
(b) Multiplication of fractions can also be
done through the cancellation method. 3.295
× 15
Example: Multiply the
simplified whole 1 1 6 14 7 5
1 × 5 1× 5 number with the +32 95
3 1 5 numerator in the
15 = fraction. 49.425
=
If multiplying the decimals with 10, 100 or
Decimals 1 000, move the decimal place one, two or
three places to the right.
1. The step of rounding off a decimal is the same
as the step of rounding off a whole number. 4. Dividing decimals

Example: Round off 1.5258 to three decimal Example : 9.9 ÷ 12 =
places. 0.825
12 9.900
1.5258 = 1.526   – 0
99
Place value 8 is larger than 5. So, add 1 to   – 9 6
mentioned. the digit that is being rounded   30
off and drop 8.   – 24
    60
  – 60
2. Mixed operations of adding and subtracting     0
decimals. Carry out the operation from the left
to the right. If dividing the decimals with 10, 100 or
1  000, move the decimal place one, two or
three places to the left.

© Penerbitan Pelangi Sdn. Bhd. 10

Mathematics  Year 5  Practice 2 Fractions, Decimals and Percentages 

  Percentages 5. Calculating a quantity from a percentage until
it exceeds 100%.
1. Percentage means fraction of hundredths or
1
1 00 . Convert Multiply the
percentage fraction with the
2. The symbol of percentage is %. to fraction of
hundredths given value.
3. Converting fractions to percentages.

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.Find anThe numerator andExample:
equivalent the denominator must
fraction with a be multiplied with the 125% of 80
denominator same number in order
to get a denominator = 125% × 80
of 100.
of hundred. = 125 × 80
100

100 1 1205014 ×1 20
4. Converting percentages to fractions. 1 2 1 2=1001× 80 +
80

= 80 + 20

Write Simplify the fraction = 100
percentage as of hundredths to its

a fraction of simplest form
hundredths.


Objective Questions

Instruction:  Answer all questions. Choose one correct answer.

2.1 Fractions 4. 7 3 of 404 is
4

1. 3 of 64 is A 3 311 C 1 313
4 D 1 133
B 3 131
A 12 C 56 C 40 930
D 60 D 42 930
B 48 5. 10 3 of 4 050 is
C 6 5 C 90
2 D 8 D 120
2. 9 of 27 is A 4 293
C 576 B 4 393
A 2 D 577

B 4 6. 5 × 108 =
6
3. 7 of 648 is
8 A 30
B 60
A 567

B 568

11 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5  Practice 2 Fractions, Decimals and Percentages

7. 1 4 × 310 = 15. Round off 6.7865 to three decimal places.
5
A 6.786 C 6.790

A 488 C 668 B 6.787 D 6.791
D 688
B 558 16. 7 + 2.479 – 5.63 =

8. 432 × 2 3 = A 3.48 C 4.489
4
B 3.849 D 4.84

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.A 1 888 C 1 118 17. 8.983 – 3.452 + 1.356 =
D 818
B 1 188 A 6.887 C 7.887

9. 3 2 × 2 1 = B 6.888 D 7.888
5 3
18. 6.743 × 100 =
A 6 2 C 7 2 A 6.743 C 674.3
15 15 B 67.43 D 6743

B 6 14 D 7 14 19. 1.498 × 1 000 =
15 15 A 1.498
B 14.98
10. 5 5 × 2 = C 149.8
6 3 D 1 498

A 1 17 C 5 5 20. 14.165 × 5 =
18 9 A 70.8
B 70.82 C 70.825
B 3 8 D 6 8 D 708.25
9 9

11. 1 8 × 6 3 = 21. 3.567 × 9 = C 32.13
9 5 A 32.10 D 32.31
B 32.103
A 5 13 C 7 8
15 15
22. 789.3 ÷ 100 =
B 6 8 D 12 7 A 0.7893 C 78.93
15 15 B 7.893 D 789.3

2.2 Decimals 23. 34 652 ÷ 1 000 = C 3465.2
A 34.652 D 34 652
12. Round off 1.247 to two decimal places. B 346.52

A 1.25 C 1.23 24. 8.105 ÷ 5 =
A 1.621
B 1.24 D 1.20 B 1.620 C 0.621
D 0.620
13. Round off 3.487 to two decimal places.

A 3.48 C 3.50 25. Which of the following quotients has the
smallest value?
B 3.49 D 3.59 A 25 ÷ 100
B 205 ÷ 1 000
14. Round off 3.0675 to three decimal places. C 2.5 ÷ 100
D 20.5 ÷ 10
A 3.066 C 3.068

B 3.067 D 3.069

© Penerbitan Pelangi Sdn. Bhd. 12

Mathematics  Year 5  Practice 2 Fractions, Decimals and Percentages 

2.3 Percentages 34. The length of a roll of ribbon is 4 m.
7
SarahHOTS cuts 2 10 m from the ribbon to

Analysing

26. Convert 3 to percentage. decorate the chair. Then Sarah buys
4 1
1 5 m more ribbon. What is the total
A 45% C 65%

B 55% D 75% length, in m, of the ribbon owned by Sarah

1 at the moment?
10
27. Convert 3 to percentage.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. A 3 7 C 2 1
10 2
A 10% C 310%
7 1
B 31% D 330% B 2 10 D 10

28. Convert 125% to mixed numbers. 35. The diagram below shows the masses of
two watermelons.
A 1 1 C 3 1
4 4

B 2 1 D 4 1
4 4

00
kg kg

29. 2 1 in percentage is
2
1.586 kg 3.057 kg
A 500% C 220%

B 250% D 210% Calculate the total mass of the

30. 5% of 5 000 = watermelons.
A 25
B 250 C 2 500 A 4.5 kg C 4.643 kg
D 25 000
B 4.6 kg D 40.643 kg

31. 75% of 500 = 36. The distance between Sri Aman to Kuching
A 3 750
B 3 700 HOTS is 180.965 km. Ahmad has driven his car
Analysing

C 375 from Sri Aman to Kuching for a distance of
D 370
155.537 km. What is the distance, in km,

32. Which of the following is equivalent to that he still has to cover?

45%? A 25.428 km C 155.537 km

9 11 B 25.528 km D 180.965 km
20 20
A C 37. A class has 20 pupils. 70% of the pupils

B 10 D 12 prefer Mathematics subject. Determine the
20 20
number of pupils who prefer this subject.

2.4 Problem solving A 11 C 13

B 12 D 14

33. There are 20 oranges in a basket. 38. There are 1 450 audiences in a theatre hall.

4 of the oranges rotten. How many 40% of the audiences are men. Calculate
5
oranges are rotten? the number of men in the theatre hall.

A 10 C 14 A 588 C 560

B 12 D 16 B 580 D 500

13 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5  Practice 2 Fractions, Decimals and Percentages

Subjective Questions

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

1. The diagram below shows a number line. (b) Calculate the number of local comics.
PL 1

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.2R121190S219032
5 5 5

(a) Calculate the value of R and S, and 4. The diagram below shows the masses of
state the answers in percentage.
HOTS two packets of powdered milk.  PL 4
Analysing

Powdered Powdered
milk milk

(b) When the value of S in question (a) is X Y
1.95 kg 0.9 kg
HOTS multiplied with a number, the product
Analysing
is 144. What is that number?
(a) Calculate the mass, in kg, for both
packets of powdered milk.

2. Round off 7.5763 to three decimal places.   (b) Between the two packets of powdered
PL 2 milk, which is heavier?

3. Sarah has collected a total of 270 local 5. The diagram below shows the volume of

HOTS and foreign comics. The number of HOTS water in two containers. 
Applying 1 Analysing
3
foreign comics is of the total number of

comics.  PL 3

(a) Calculate the number of foreign
comics.

1.5 l 0.67 l
Container A Container B

© Penerbitan Pelangi Sdn. Bhd. 14

Mathematics  Year 5  Practice 2 Fractions, Decimals and Percentages 

A little water needs to be poured out 6. The table below shows the number of ping-
from container A to container B so that pong balls in a basket. The total number
the volume of water in both containers of ping-pong balls is 300. The number of
are equal. Calculate the volume of water, orange ping-pong balls is 45% of the total
in l, that has to be poured into container B. number of ping-pong balls. PL 6
PL 5
Ping-pong balls White Orange
Number 165
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
(a) State the percentage of white ping-
pong balls.

(b) Find the total number of orange ping-
pong balls.

HOTS Practice

1. There are 128 pencils in a box. Ahmad ttahkeefsoll81owoifntghestapteenmcielsntasnadrethterureesot rafraelsdei.stTriicbkut(e3d)
equally to Adam and Arif. Determine if

next to the correct answer. Show the workings of your calculations.

(a) Adam and Arif each received 25 pencils.

True      False 

(b) Adam received 7 of the total number of pencils in the box.
16
True      False 

2. Mimi buys 4 packets of detergent and 9 bars of soap. The total mass of the items bought
by her is 2.145 kg. The mass of each packet of detergent is 6 times the mass of the soap.

(a) Calculate the mass, in kg, of one bar of soap.

(b) Determine the mass, in kg, of a packet of detergent.

15 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5  Practice 2 Fractions, Decimals and Percentages

Enrichment Practice 2

Instruction:  Answer all questions. 4. Which of the following is correct?
1. The diagram below shows several squares.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
A 7 = 70% C 6 = 60%
10 1 00

B 9 = 9% D 10 = 100%
10 1 00

5. A factory produces 3 million spoons in
4
a day. 0.2 million of these spoons are

exported and the remainder is for the local

market. Calculate the number of spoons

produced for the local market in 6 days.

A 3.3 million

What is the percentage of the shaded area B 3.6 million

of the whole diagram? C 4.5 million

A 0.012% C 12% D 4.8 million

B 0.12% D 120% 6. George goes jogging for a distance of
12.88 km in a week. George jogs the same
2. 55.2 + 8.97 – 23.237 = distance every day. Calculate the distance,
in km, George jogs in 5 days.
A 64.17 C 40.933 A 7.2 km
B 8.2 km
B 64.117 D 40.333 C 9.2 km
D 10.2 km
3. The diagram below shows a container with
a volume of 1 000 ml of milk. A part of the
milk has been used.

1000 7. The pie chart below shows the percentage
800 of the number of pupils, according to their
600 clubs at school. The total number of pupils
400 in the school is 600.
200
0 Percentage of pupils according to clubs

What fraction of the milk is left? Culture Club Bahasa
20% Melayu Club
30%
A 1 C 3 Young
4 5 Doctors Club
10% Mathematics
B 1 D 4 Club
5 5 40%

© Penerbitan Pelangi Sdn. Bhd. 16

Mathematics  Year 5  Practice 2 Fractions, Decimals and Percentages 

(a) State the name of the club that has 9. The diagram below shows the conversation
the most members. between Silva and Devi.

I bought a
bunch of spinach
with the mass of

0.78 kg.
Silva

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.(b) 2of theBahasaMelayuClub
5
members are boys. Calculate the I bought 0.55 kg
more than your
number of boys in the Bahasa Melayu
spinach.
Club.
Devi

Calculate the total mass of the spinach
bought by both of them, in kg.

8. The total monthly income of Joseph and

his wife, Mary is RM7 500. Mary’s monthly
2
income is 5 of Joseph’s monthly income.

(a) Joseph and Mary save 10% of the

total amount of their monthly income

every month. Calculate the total

amount of their savings for 5 months.

(b) Calculate Mary’s monthly income.

17 © Penerbitan Pelangi Sdn. Bhd.

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

8Practice Data Handling THEME 4:
Statistics and Probability

Reserved.
Textbook pages: 251 – 264

Smart Notes

1. Pie chart is a circular shaped diagram which Example of the vertical bar chart:
can present the data in segmented form.
The number of storybooks read
Ways of pupils going to school storybooksRights in a month

Bicycle Car 10
10% 25% 8
6
Walking 4
20% 2
0 Alia Edi Ravi Weng Pupils
Bus Bhd. All
45% Number of

2. Pictograph is a presentation of data that useSdn 4. Mode is the data which has the highest
symbols or pictures to represent the data. frequency or the number which appears the
PelangiPictograph must be completed with suitable most frequent.
key and title.
Penerbitan The number of bowls of curry noodles sold 5. Median is the value of the data in the middle of
a set of data which is arranged in ascending
Monday or descending order.

Tuesday 6. Mean is the result obtained by dividing the
total value of a set of data by the number of
Wednesday the data. Mean is also known as average.

Key: represents 10 bowls of noodles Mean = Total value of data
Total frequency
3. Bar chart uses bars to represent the data. The
horizontal axis and the vertical axis must be 7. Range is the difference between maximum
labelled clearly. value and minimum value of a group of data.
Example of the horizontal bar chart:
Hobbies of a group of pupils Maximum value – minimum value
Hobby

Reading

Camping

Cycling
Gardening

0 10 20 30 40 50
Number of pupils

57 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5  Practice 8 Data Handling

Objective Questions

Instruction:  Answer all questions. Choose one correct answer.

8.1 Pie chartPenerbitan Pelangi Sdn Bhd. All Rights Reserved.8.2 Mode, median, mean and range

1. The pie chart below shows the percentage Questions 3 – 6 based on the diagram below.
of pupils passed according to subjects. The diagram below shows a set of data.

The number of pupils passed 142, 138, 250, 168, 142
according to subjects
3. What is the mode of the data?
English A 142
15% Mathematics B 135
30% C 167
D 168
Science
20% 4. Find the median of the data.
A 142
What is the percentage of the pupils who B 135
passed Mathematics subject? C 250
A 10% D 167
B 50%
C 30% 5. Find the mean of the data.
D 20% A 142
B 138
2. The pie chart below shows the favourite C 168
colours of 200 pupils. D 268

Favourite colour 6. Calculate the range of the data.
A 82
Red B 108
Yellow 10% C 100
30% D 112

Green
Blue 45%
15%

How many pupils like blue colour?
A 20
B 30
C 60
D 90

© Penerbitan Pelangi Sdn. Bhd. 58

Questions 7 – 9 based on the diagram below.Penerbitan Pelangi Sdn Bhd. All Rights Reserved.Mathematics  Year 5  Practice 8 Data Handling 

The pictograph below shows the Mathematics Questions 10 – 11 based on the diagram below.
marks of a group of pupils.
The bar chart below shows the number of pupils
Mathematics marks of a group of pupils according to nationality in Year 5 Cemerlang.
81
The number of pupils according to
82 nationality of Year 5 Cemerlang

83 Number of pupils

84 20
15
85 10
5
Key: represents 20 pupils
Nationality
7. Calculate the total number of pupils in the Malay Chinese Indian Others
group.
A 200 10. Nationality with the most number of pupil
B 260 is
C 280 A Malay
D 350 B Chinese
C Indian
8. Calculate the range of their Mathematics D Others
marks.
A 2 11. State the mean of the number of pupils in
B 4 year 5 Cemerlang.
C 1 A 10.25
D 3 B 11.25
C 12.25
9. What is the mode of their Mathematics D 13.25
marks?
A 83 8.3 Problem solving
B 81
C 85 12. The diagram below shows a set of data.
D 84
HOTS 15   X   5
Analysing

It is given that the mean and median for
the set of data is 15. What is the value of
X?
A 25
B 20
C 15
D 10

59 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5  Practice 8 Data Handling 15. The table below shows the marks obtained
by a group of pupils in a quiz.
13. The diagram below shows a set of data.

5, 3, 4, 1, 7, 8 Marks 1 234
43 1 2
Lily wants to calculate the median for the Number of
students
set of data. Which of the following shows

the correct step of calculation? Calculate the mean of their quiz marks.
A 2.1
B 2.3
C 2.5
D 2.8
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.A 4+5
2

B 8+8
2

C 5+3+4+1+7+8
6
16. Year
D 8+6 Saving
1
2017 RM5 000

14. The diagram below shows a set of data. 2018 RM6 000

HOTS 2019 RM8 500
Analysing
The table above shows the savings of
12, 43, 12, 34, 62, 43, 62, X
Mr. Andrew in three years. Calculate the
The mode of the set of data is 62. Find the
value of X. average of his savings in the three years.
A 12
B 43 A RM5 000
C 62
D 34 B RM6 000

C RM6 500

D RM8 500

© Penerbitan Pelangi Sdn. Bhd. 60

Mathematics  Year 5  Practice 8 Data Handling 

Subjective Questions

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

1. Fill in the blanks with the answer choices 3. The table below shows the number of
below. PL 1 plastic bottles gathered by some pupils
in a recycling campaign. 
The most The difference of
frequent number maximum and
appeared minimum values
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. Pupils Number of plastic
The average of The value which bottles
values is located in the Amira
Badrul 12
middle Chan
Devi 14
State the meanings of:
6

18

(a) Mode (a) Calculate the total number of plastic
bottles gathered. PL 3
(b) Median

(c) Mean

(d) Range

2. The diagram below shows a set of data.  (b) Calculate the mean of the number of
plastic bottles gathered. PL 3
12, 18, 21, 21, 15, 16
(a) State the range for the set of data above.
PL 3

(b) Calculate the median for the set of
data above. PL 3

61 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5  Practice 8 Data Handling 5. The table below shows the favourite food

4. The pictograph below shows the number HOTS of 5 Bestari pupils.
of shirts according to size sold in store Q. Applying

Sales of shirts in 4 sizes Food Number of pupils
38
40 Porridge 2
42
44 Chicken rice 4

Key: represents 5 shirts Nasi lemak

(a) What is the number of sized 40 shirt
that are sold in the store? PL 3
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. Roti canai 5

(a) The total number of 5 Bestari pupils
is 17. Calculate the number of pupils
who like nasi lemak. PL 4

(a) The mean of the number of shirts (b) Construct a bar chart based on the
sold at store Q is 15. Find the number data above.  PL 5
of sized 44 shirts that are sold in the
store. PL 4

© Penerbitan Pelangi Sdn. Bhd. 62

Mathematics  Year 5  Practice 8 Data Handling 

HOTS Practice

1. The pictograph below shows the number of stamps owned by four pupils. Wani has 2 times
of the number of stamps owned by Arif. The total number of stamps owned by the four
pupils is 90.

(a) Complete the pictograph below.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
Number of stamps owned
by 4 pupils

Arif

Yana

Leo

Wani represents 5 stamps
Key:

(b) Who has the least number of stamps?

(c) Calculate the mean of the number of stamps.


63 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5  Practice 8 Data Handling

Enrichment Practice 8

Instruction:  Answer all questions. Sports joined
1. The diagram below shows a set of data.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
2.3 0.9 1.8 1.5 0.9

What is the median for the set of data in Netball Badminton
30% 40%
the diagram above?

A 0.9 C 1.8 Shot put Soccer
10% 20%
B 1.5 D 2.3

2. The pictograph below shows the number (a) Write the name of sports which has
of cupcakes sold in a store in 4 days. The the most number of members.
number of cupcakes sold on Tuesday is
not shown. 3
4
Number of cupcakes sold (b) of the badminton members are

Monday male. Calculate the number of male

Tuesday pupils in the badminton sports.

Wednesday 4. The table below shows the items bought
by Mr. Heng.
Thursday

Key: represents 10 cupcakes Items Mass of a Quantity
packet (Packet)
The mean of the number of cupcakes sold Rice
Sugar 7 kg 1
by the store is 35. How many cupcakes Flour
Powdered milk 500 g 6
pictures that need to be drawn to represent
1 kg 7
the number of cupcakes sold on Tuesday?
800 g 5
A 1 C 4

B 2 D 6 (a) What is the total mass, in kg, of
powdered milk bought by Mr. Heng?
3. The following pie chart shows the
percentage of pupils according to the (b) Construct a bar chart to represent the
sports that they took part in a school. The total mass of each item bought by
total number of pupils in the school is 400. Mr. Heng.

© Penerbitan Pelangi Sdn. Bhd. 64

ANSWERS

PAK-21 Activity Yes, Puan Jamilah succeeded to achieve her target.

3. (a) Carrot (b) Cucumber Enrichment Practice 1
(c) Long bean (d) (3, 2)
(e) (8, 1) (f) (8, 3) 1. D 2. C 3. A 4. C
(g) Mustard (h) Pumpkin (b) 7 196
(i) Brinjal (b) 35 800

(b) RM719 085
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 5. (a) 2 000

6. (a) 13 568

7. 153 oranges

Practice 1 Whole Numbers and Operations 8. (a) 10 209

Objective Questions Practice 2 Fractions, Decimals and Percentages

1. D 2. B 3. D 4. B 5. A Objective Questions
6. A 7. C 8. B 9. C 10. A
11. C 12. B 13. B 14. A 15. B 1. B 2. C 3. A 4. B 5. D
16. C 17. D 18. C 19. D 20. B 6. C 7. B 8. B 9. D 10. B
21. B 22. D 23. A 24. C 25. C 11. D 12. A 13. B 14. C 15. B
2 6. C 27. B 28. D 29. B 30. A 16. B 17. A 18. C 19. D 20. C
31. C 32. C 33. C 34. A 35. D 21. B 22. B 23. A 24. A 25. C
3 6. A 37. D 2 6. D 27. C 28. A 29. B 30. B
31. C 32. A 33. D 34. C 35. C
3 6. A 37. D 38. B
Subjective Questions

1. (a) Nine hundred seventy-eight thousand six Subjective Questions (b) 60
hundred and nine
1. (a) R : 90% (b) 180
(b) 532 820 S : 240% (b) Milk powder X
(b) 135
2. (a) 865 210 (b) 102 568 2. 7.576
3. (a) 90
3. (a) 2, 3, 5, 7, 11, 13, 17, 19 4. (a) 2.85 kg
(b) 500 000 + 40 000 + 8 000 + 200 + 60 + 7 5. 0.415 l
6. (a) 55%
4. (a) 2, 3, 5, 7, 11, 13, 17, 19
(b) It is because the numbers can be divided by
other number.

5. (a) 800 000 HOTS Practice
(b) 756 120, 756 113, 756 106, 756 099

6. (a) 3 200 mℓ (b) 1 600 mℓ 1. (a) False  (3).

7. (a) X : 324 564 (b) X : 123 490 The number of pencils taken by Ahmad
Y : 324 566
= 1 × 128 = 16
8
8. (a) 135 935 cupcakes (b) 266 200 cupcakes
The balance of pencils
9. (a) 85 049 fish (b) 105 869 fish
= 128 – 16 = 112
10. (a) The number of container of tomatoes
(b) B = number of containers of tomatoes The number of the pencils given to Adam and
9 × B = 12 204
Arif

= 112 ÷ 2 = 56

11. (a) 1 542 packets of sugar Therefore, Adam and Arif each received 56
(b) 257 packets of sugar
pencils.

12. (a) 520 buttons (b) 20 buttons (b) True  (3).

HOTS Practice 56 = 7
128 16
1. 152 000 boxes of juice
2. March: 30 567 + 1 376 = 31 943 2. (a) 0.065 kg
May: 31 943 + 1 402 = 33 345 (b) 0.39 kg

A1 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5 Answers

Enrichment Practice 2 HOTS Practice

1. C 2. C 3. C 4. A 5. A 1. 153 days 8 hours
6. C
2. (a) 8 years (b) Phase 5

7. (a) Mathematics Club (b) 72 (c) 2 decades 1 year

8. (a) RM3 750 (b) RM3 000 3. (a) 5 decades 2 years (b) 21 years
(c) 73 years
9. 2.11 kg
Enrichment Practice 4
Practice 3 Money
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 1. B 2. A 3. C 4. B

Objective Questions 5. (a) General News (b) 2 hours

1. A 2. C 3. D 4. A 5. B (c) 4 times
6. C 7. B 8. B 9. A 10. D
11. D 12. C 13. B 14. B 15. B 6. (a) 1 hour 20 minutes (b) 5:40 p.m.
16. B 17. B 18. D 19. A 20. D
Practice 5 Length, Mass and Volume of Liquid

Subjective Questions Objective Questions

1. 1. C 2. D 3. B 4. A 5. A
6. D 7. A 8. B 9. C 10. C
11. A 12. B 13. C 14. B 15. C
16. B 17. A 18. B 19. C 20. B
2. (a) RM1 200 (b) RM1 248 21. D 22. B 23. A 24. C 25. A
2 6. B 27. D 28. A 29. B 30. A
(c) RM33 745.92

3. (a) RM28 (b) RM8.50

4. RM159 412 Subjective Questions

5. (a) RM2 640 (b) RM26 400 1. (a) 7 900; 6.4
(c) 9 700; 3.7
6. (a) Simple interest (b) 14 700; 1.8
2. (a) 3.1 kg (b) 5 500 g
(b) RM249.73 3. 500 ml
4. 6.5 km (b) 56 kg
(c) The value of compound interest is higher than (b) 950 ml
HOTS Practice
the value of simple interest. Therefore, Ros
1. 175 cm
will get the higher returns if she maintains her 2. (a) 48 kg
3. (a) 1.4 l
savings for a long term.

HOTS Practice (b) RM30

1. RM738 842
2. (a) RM94

Enrichment Practice 3

1. D 2. C 3. D 4. B Enrichment Practice 5

5. (a) RM60 1. A 2. B 3. C 4. A

(b) RM4 000 to RM5 000 5. (a) 7.03 l (b) 740 ml
6. (a) 602 cm (b) 421.4 cm
Practice 4 Time
7. (a) 650 g (b) 2 kg 900 g
Objective Questions

1. D 2. B 3. D 4. B 5. C Practice 6 Space
6. A 7. A 8. B 9. C 10. B
11. B 12. A 13. C 14. A 15. C Objective Questions
16. A 17. B 18. B
1. B 2. B 3. C 4. C 5. D
Subjective Questions 6. C 7. C 8. B 9. C 10. B
11. B 12. A 13. C 14. D
1. 1 day 20 hours
2. 11 decades 1 year (b) 4 centuries 20 years Subjective Questions (b) 135°; Octagon
3. (a) 8 decades 4 years (b) 35 minutes (b) 66 cm2
4. (a) 4 hours 50 minutes 1. (a) 108°; Pentagon (b) 40 cm3
5. 40 years (b) 31 years 8 months 2. (a) 42 cm
6. (a) 6 years 4 months 3. (a) 48 cm3

© Penerbitan Pelangi Sdn. Bhd. A2

Mathematics  Year 5 Answers 

4. (a) 1 296 cm3 (b) Cuboid Subjective Questions
(c) 432 cm3
1. (a) The value that appears the most

HOTS Practice (b) The middle value
1. (a) 31 m2
(b) RM130.20 (c) The average of the values of data

(d) The difference between the maximum value and

Enrichment Practice 6 minimum value.

1. B 2. A 3. B 4. C 2. (a) 9 (b) 17

3. (a) 50 (b) 12.5

5. (a) 1 500 m2 (b) RM17 160 4. (a) 25 (b) 15
of pupil
6. (a) 24 cm2 (b) 42 cm2 5. (a) 6
Reserved.
7. (a) M: Cuboid (b) 245 cm3 (b) Favourite food of pupils
N: Cube
5 Bestari
7

Practice 7 Coordinates, Ratio and Proportion 6

Objective Questions 5

1. C 2. A 3. B 4. C 5. C 4
6. D 7. B 8. A 9. B 10. A
11. C 12. B 13. B 14. B 15. D NumberRights3
16. C
2

1

Subjective Questions 0 Porridge Chicken Nasi Roti Food
rice lemak canai
1. (a) Horizontal distance Vertical distance All

4 units 2 units HOTS Practice
(b) 14 km
(b) 1 : 9 Bhd. 1. (a) The number of stamps owned by 4 pupils
2. (a) 1 : 3
(c) 9 : 5 (b) 7 : 30 Arif
(b) 11 : 19
3. (a) 7 : 23 (b) RM555 Sdn Yana

4. (a) 13 : 17 Leo

5. (a) RM181.50

HOTS PracticePelangi Wani

1. (a) 16 : 15 Key: represents 5 stamps
(b) 19 : 50 (b) Leo (b) 22.5

Enrichment Practice 7 Enrichment Practice 8

1. B 2. D 3. A 4. A 5. D 1. B 2. B
(b) 2 units
6. B 5. C
Penerbitan 10. A 3. (a) Badminton (b) 120 male pupils
7. (a) (8, 5) 15. C
(kg) 4. (a) 4 kg
8. (a) 2 : 3 (b) 9 : 4
(b) Mass of items bought by Mr. Heng
9. 4 hours

10. 16 kg 7
6
11. 240 km 5
4
Practice 8 Data Handling 3
2
Objective Questions Mass 1
0 Sugar Rice Flour Powdered Item
1. C 2. B 3. A 4. A
6. D 7. B 8. B 9. C milk
11. B 12. A 13. A 14. C
16. C

A3 © Penerbitan Pelangi Sdn. Bhd.

 Mathematics  Year 5 Answers

Year-End Assessment 9. (a) 20 cm2
(b) Width = 4 cm
Objective Questions Height = 5 cm
Accept any pairs of measurement that give the
1. C 2. B 3. B 4. C 5. A product of 20 cm2.
8. C 9. B 10. D
6. B 7. C 13. B 14. B 15. A 10. (a) 5 : 10
18. D 19. A 20. A (b) The ratio of five to ten
11. A 12. D 23. B 24. C 25. B (c) RM30
28. C 29. B 30. B
16. C 17. D 33. B 34. B 35. B
38. C 39. B 40. A
21. B 22. D 11. (a) 40 kg
(b) 40 kg
(c) 25 kg
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 26. D 27. C

31. C 32. C

36. D 37. D 12. (a) 0.34 l
(b) 110 ml
Subjective Questions (c) 2.25 l

1. (a) 470 000 13. (a) Netball: 35 × 120 = 42
(b) 7 000 1 00
20
2. (a) Badminton: 1 00 × 120 = 24

42 – 24 = 18.

Therefore, the statement is false.

(b) 44 pupils

14. (a) Simple interest
(b) RM124.86
(c) Encik Murad will get a higher return if he
maintains his savings in a long term.

(b) 9 or 3 15. (a) 40 cakes
12 4 (b) The number of cake
according to flavour
Accept any correct answers.

1 Number of cakes
5
3. (a) 4 007 522, 4 million, 4 563 630, 4 563 700,
4 632 433
15
(b) 4 1 million 14
5 13
12
4. (a) 115° 11
(b) Has 5 vertices 10
(Accept any reasonable answers.) 9
8
5. (a) 5:30 a.m. 7
(b) 6
5
4
(c) 56 hours 3
2
1
0 Cakes flavour
Strawberry
6. (a) 1706 hours Cheese
(b) 1227 hours; Yellow bus Pandan
Chocolate

7. (a) 690 pieces (c) 10 cakes
(b) 220 pieces

8. (a) 53.65 kg

(b) 3 = 0.75 kg
4

53.65 kg + 0.75 kg = 54.4 kg
54.4 kg – 54.3 = 0.1 kg or 100 g
Proven.

© Penerbitan Pelangi Sdn. Bhd. A4

Practice Makes Perfect! PRAKTIS PINTAR KSSR FRC325932 Praktis PINTAR

Subject YEAR

5M S Bahasa 1 2 3 456
Melayu
YEAR Tatabahasa ✔✔✔✔✔✔

✔✔✔
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English ✔✔✔✔✔✔

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SEMAKAN Writing ✔✔✔
KSSR
Matematik / ✔ ✔ ✔ ✔ ✔ ✔
PRAKTIS PINTAR KSSR series features topical Mathematics
practices to supplement the textbooks and the
Classroom Assessment (Pentaksiran Bilik Darjah or PBD). Sains / ✔✔✔✔✔✔ Mathematics
Science
These practices are useful as reinforcement and
enrichment materials, as well as formative Sejarah ✔✔✔
assessments to gauge pupils’ learning. The concept
of HOTS and i-THINK are also incorporated in the Pendidikan ✔✔✔✔✔✔
practices to fulfil the latest requirements. Islam ✔✔✔✔✔✔

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

© Penerbitan Pelangi Sdn. Bhd. 2022 Year 5
All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means,
electronic, photocopying, mechanical, recording or otherwise, without the prior permission of Penerbitan Pelangi Sdn. Bhd.

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