Praktis Pintar KSSM Maths - Yr 4

PELANGI

Practice Makes Perfect!
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MATHEMATIC S

Notes For the 21st Century Learner Tan Pei Pei
Topical Practices
SCAN ME
Practices Based on DSKP
4YEAR
PAK-21 Activities
SEMAKAN
Year-end Assessment KSSR

HOTS & i-THINK

Complete Answers

PAK-21 Activity

Gallery Walk

Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 1. The diagram below shows the number cards in 2 boxes.

47 560 63 488 95 214 54 620

80 000 26 300

12 540 72 063



Box A Box B

 You are asked to remove one card each from Box A and Box B.
 Place the number cards on a manila card next to each other like the one shown below.
 Compare the values of the two cards.
 Write ‘bigger than’ or ‘smaller than’.
 Repeat the steps above till the boxes run out of cards.
 Display the completed work on the class notice board alongside the completed work of

other classmates. Classmates will then comment on your work.

Example of work results:

Box A Box B
54 620
47 560 smaller than 72 063
26 300
80 000 bigger than 95 214

63 488 bigger than

12 540 smaller than

i © Penerbitan Pelangi Sdn. Bhd.

    Mathematics  Year 4 PAK-21 Activity

Three Stray, One Stay

2. The diagram below shows the prices of items bought by students for a donation campaign to
a shelter organised at a school.

Butter BISCUIT d....v.L..B.......ii.......eitp.......sa.......mek.......m.......ura..............kitk.......na.......S.......yB......d......ea......ea......d......rnd......ak......e......pr........ni......m........g.............an ORANGE Mineral
JUICE water
Reserved.
Butter Bread Biscuit    Kaya Mineral water
RM3.40    RM2.50 Vitamin C RM1.10
Butter
RM4.50    Orange juice
RM5.70   
Rights
 Form groups of 4 members.
 Each group needs to buy 3 types of items. The combination of these 3 items for each All

group must be different from one another.
 Discuss on which items to buy.
 One member stays while 3 members will be sent to ask other groups on the items their

groups are planning to buy.
 Once the 3 members return, discuss again. Then, total the items. The total items to be

bought for each group must be more than RM20 but must not exceed RM50.
 Display the chosen items.
Bhd.

Sdn
Example of work results by 2 groups:

Pelangi
Group A

No. Item Quantity Price per unit Price

1 Bread 3 packets RM3.40 RM10.20

2 Butter 2 containers RM4.50 RM9

3 Orange juicePenerbitan 1 box RM5.70 RM5.70

Grand total RM24.90

Group B

No. Item Quantity Price per unit Price

1 Biscuit 6 packets RM2.50 RM15

2 Orange juice 2 boxes RM5.70 RM11.40

3 Mineral water 12 bottles RM1.10 RM13.20

Grand total RM39.60

© Penerbitan Pelangi Sdn. Bhd. ii

  Mathematics  Year 4 PAK-21 Activity   

Round table

3. The diagram below shows object, location and liquid.

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.The width of A4The distance between a
paper, in cm      school and playground,

in km

A jug of orange A roll of ribbon,
juice, in l in m

      

 Form groups of 4 members.
 Stick each diagram on an A4 paper.
 Each member takes a turn to write the estimation of measurement, distance or volume of

each diagram.
 Present the results of your discussion.
 Take the actual measurement, distance or volume to determine the accuracy of the

estimations done.

Example of work results:

The width of an The distance between a
A4 paper, in cm school and playground,

in km

No. Student Estimated No. Student Estimated
name length name length

1. 1

2. 2

3. 3

4. 4
Actual length Actual distance

  

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    Mathematics  Year 4 PAK-21 Activity Think-Pair-Share

4. The diagram below shows the locations of fruits displayed on a rack.

8

7
6

5
4

3
2

1
0A B C D E F G H

 Form groups of 4 members.
 Think and solve each question below.
 Discuss your answers with other members of the group in pairs.
 Share your answers with members of other groups.

Solve the following questions based on the diagram above.
i. Fruit at 5 squares horizontally and 4 squares vertically from the origin.
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ii. A fruit is moved 1 square to the right, 2 squares upward and followed by 6 squares to the left
and 6 squares downward. This fruit will move past the grape’s square and then stop at the
durian’s square. Which fruit is this?

iii. State two fruits that have the same horizontal distance and vertical distance from the apple.

iv. State one importance of learning the coordinate system.

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

2Practice THEME 1
Numbers and Operations

Fractions, Decimals and
Percentages

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.Smart Notes

1. Convert the improper fraction into mixed Method 2: Convert 1 to the fraction with
numbers. denominator 3.

Example: 1—32 = 1 + —23 Convert 1 into
Convert —49 into mixed number. a fraction with
Method 1: Draw a diagram denominator 3.

= —11 ××—33– + —23
= —33 + —23 = —35

—44 + —44 + —41 = —49 3. Addition of fraction, whole number and mixed
numbers with a common denominator or
different denominators.
1 + 1 + —41 = 2—41
Example:

Method 2: Perform long division. Divide the —51 + 1—52 = —51 + 1 + —52
numerator 9 by denominator 4.
= 1 + —53 = 1—53

2 \ —49 = 2—41 Example: Make the denominators the same.
4 9
–8 —52 + —21 + 2 —130 = —52 ××—22– + —21 ××—55– + 2 —130

1

2. Convert the mixed numbers into improper = —140 + —150 + 2 —130
fraction.

Example: = 2 —1120
Convert 1—32 into improper fraction.
Sim plify it.
Method 1: 1—23 = —(3—× 3—1) +—2– = 3 —120 = 3—51

= —3 +3—2– 4. Subtraction of fraction, whole number and
mixed numbers with a common denominator
= —35 or different denominators.

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  Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages

Example: 1+ 4 + 1 = 1 5 7. Addition of decimals.
4 4 4 Example: 0.2 + 0.41 =
2—41 – —34 = 1—45 – —43
0 .20 Add 0 for easy
= 1—42 = 1—21 + 0.41 calculation.

0.61 Decimal point must
be on a straight line.
Example:
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9 – 2—59 – 1—32 = 8—99 – 2—59 – 1—23 Operation is executed
from right to left.
= 6—94 – 1—23 ××—33–

= 5 —193 – 1—96 Example: 0.326 + 5.8 + 0.09 =

= 4—97 11 Add two 0s for
easy calculation.
5. Addition and subtraction of fraction, whole 0 . 326
number and mixed numbers.
5 . 800

+ 0 . 090

Example: 6.216

1—41 + 2 – 1—51 = 3—41 – 1—51 8. Subtraction of decimals.
Example: 3.7 – 0.4 =
= 3—41 ××—55– – 1—51 ××—44–
3 .7
= 3 2—50 – 1 2—40 = 2 2—10 – 0.4

Example: 3.3 Decimal point
3—83 – —41 + 2—21 = 3—83 – —41 ××—22– + 2—21 ××—44– must be on a
straight line.

= 3—38 – —82 + 2—84 Operation is executed
from right to left.

= 3—81 + 2—48 = 5—58 Example: 9.312 – 2.7 – 4.165 =

6. Proper fraction and mixed numbers from a 8 13 5 10 12

certain quantity. 9.312 6.612

– 2 . 700 – 4 . 165

Example: ‘of’ means 6.612 2 . 447
multiply
—51 of 10 = —51 1 × 2 Add two 0s for easy
calculation.
10

= 2 9. Multiplication of decimals.
Example: 3.2 × 4 =
Example:

2—41 of 400 = —943 × 100 3.2 1 decimal place.
×4
400

= 9 × 100 = 900 12.8 Product also in 1 decimal place.

© Penerbitan Pelangi Sdn. Bhd. 12

Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages   

Example: 4.713 × 5 = Example: Decimal point shift
1 7.3 ÷ 100 = 0.173 to left based on the
31 3 decimal places. number of zero(s).

4.713 Product also in 3 Contoh:
×5 decimal places. 4 6.0 ÷ 1 000 = 0.046

23 . 565

Example: 11. Convert fraction into percentage.
3.8 × 10 = 38

Example:
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.Decimal point shifts to theExample:
right based on the number Convert —43 into percentage.
of zero(es). Method 1: —43 = —43 ××—22—55
= —17050–
0.6 9  1 × 1 000 = 691 Equivalent
fraction with
10. Division of decimals. denominator
Example: 9.6 ÷ 6 = 1.6 100.

= 75%

1 .6 Decimal point must be Method 2: —43 = —34 × 100% Multiply
6 9 . 6 on a straight line. = 75% fraction
by 100%.
–6
12. Convert percentage into fraction.
36
Example:
–3 6
Convert 20% into fraction.
0

Example: 1.974 ÷ 3 = 0.658 20% = —12000– Write in fraction
= —51 of hundredth.
0 . 658
3 1 . 974 Simplify the fraction.

–0 13. Percentage from a certain quantity.
19
Example: 30% of 40 t-shirts
–1 8 30% × 40 = —13000– × 40
17
= 12 t-shirts
–15
24

–24

Objective Questions

Instruction:  Answer all the questions. Select only one correct answer.
2.1 Fractions

1. The diagram below shows two rectangles of State the mixed number represented by the
the same size. shaded parts.

A 7—34 C —94

B 1—43 D —47

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  Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages

2. —151 = C 2—51 8. —51 + —52 = C —47
A —52 D 3—51 A —52 D —67
B —45
B —35

3. Convert —169 into mixed number. 9. The diagram below shows a number line.
A 3—61 C 4—61
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 0 P –27 –37 Q

B 3—56 D 4—56 What is the sum of P + Q?

4. The diagram below shows a number line. A —37 C —57
B —47 D —67
–43 –32 X

What is the value of X? 10. Determine the total addition of 1—21 , —25 and
2—130 .
A —32 C 1—32 A 1—31 C 4—51

B —56 D 1—56 B 1—41 D 1—61

5. Which is the correct match?

A 2—54 • • —276 11. The diagram below shows two shapes
which have been divided into triangles of
B 4—38 • • —254 the same size.

C 3—57 • • —483

D 5—97 • • —497

6. 3—83 = Calculate the total fractions for the whole
A —185
diagram.
B —187
C —287 A 1—27 C 1—47
D —289
B 1—37 D 1—57

7. Which is the incorrect answer? 12. —53 – —21 =
A —32
A —130 = 3—130 C —149 = 4—34 B —130 C —51
D —110
B —92 = 4—21 D —258 = 5—35

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Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages   

13. Find the difference between 3—67 and 1—21 . 18. 5—21 – 3—61 + 1—31 =

A 2—258 C 1—193 A 2—53 C 3 —41

B 2—154 D 1—171 B 2—34 D 3—23

14. 6 – 2—51 – 3—21 = 19. —53 of 250 is
A 1—130 A 70
B 1—35 B 80
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.C —130 C 120
D —53 2.2 Decimals D 150

15. 2—98 – 1—31 – = 1—94 20. 0.42 + 0.53 = C 1.16
A 0.83 D 1.24
What is the fraction in the blank? B 0.95

A —91 C —71 21. 6.15 + 3.473 =
B —81 D —61 A 7.138
C 9.623
16. Which one gives the answer —21 ? B 8.465
A 3—56 – 1—61 + 2—63 D 9.788
B 1—67 + 2—27 – 3—47
C 3—89 – 2—94 + 1—91 22. The diagram below shows three number
D 2—130 + 1—140 – 3—120 cards.

5.107 4.06 5.231

Calculate the total of all the numbers.

A 10.498 C 14.344

B 10. 744 D 14.398

17. The diagram below shows a number line. 23. 24.378 – 12.406 = C 12.051
A 11.883 D 12.469
B 11.972

1–51 M N 2

24. The diagram below shows a number line.

Calculate M + N – 1—21 . 8.735 P 8.985 Q

A 1—52 C 1—170 Find the value of Q – P.

B 1—21 D 1—190 A 0.25 C 0.45

B 0.35 D 0.55

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  Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages

25. Find the difference between 6.031 and 34. 5.54 ÷ 5 = C 1—1 01—800–
–140—60  . A —1 01—800– D 1—1100—080–

A 6.41 C 5.85 B —1100—080–

B 6.02 D 5.571

26. 15 – 7—1 50—500– = 35. Which of the following calculations is
A 5.182 correct?
C 7.945 A 592 ÷ 10 = 5.92
B 486 ÷ 100 = 4.86
C 301 ÷ 100 = 30.1
D 0.93 ÷ 1 000 = 93
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.B 6.476
D 8.823

27. 43 – 28.325 = – 30.16

The missing number in the blank is

A 46.176 C 35.738 2.3 Percentages

B 44.835 D 32.042 36. Convert –103—0 into percentage.

28. 31.05 – 8.3 – 11.138 = A 3% C 300%

A 22.75 C 10.326 B 30% D 3 000%

B 19.912 D 11.612

29. 4 × 2.3 = C 10.1 37. Convert —170 into percentage.
A 8.5 D 12.4
A 77% C 7%
B 9.2
B 70% D 0.7%

30. 9 × 0.145 = C 1.438 38. —25 = C 52%
A 1.621 D 1.305 A 25% D 70%

B 1.594 B 40%

31. Which calculation gives a product of the 39. Which is equivalent to 55%?
smallest value?
A —170 C —2130
A 0.7 × 10 B —45 D —2110
B 0.072 × 100
C 0.077 × 1 000
D 0.07 × 1 000

32. 9.1 ÷ 7 = C 1.3 40. 20% = C —61
A 0.13 D 31 A —41 D —71
B 0.31 B —51

33. 7.2 ÷ 6 = ÷ 10

What is the answer should be written in

the blank? 41. 20% of 65 is
A 11
A 0.12 C 12 B 12 C 13
D 14
B 1.2 D 120

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Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages   

42. Find the value of 45% of 80. 46. The mass of a sweet is 0.003 kg. Find the
total mass of 65 sweets.
A 36 C 60 A 0.063
B 0.085
B 45 D 72 C 0.195
D 0.238
2.4 Problem solving

43. The table below shows the length of KBAT
ribbons M, N and O.

M NO
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 47. 35% of balloons purchased by Juliana are

HOTS yellow. –120—80 of balloons are blue and the
Analysing

—170 m —45 m —51 m rest are purple. What is the percentage for

purple balloons?

Find the sum of all the ribbons’ lengths. A 16%

A 1—170 C 2—45 B 21%

C 28%

B 2—51 D 2—170 D 37%

44. H—81ankigsaofbgoruagphets1.—34Hokwgmofagnryakpgeso.fSghreapaetes 48. Madam Julia prepared 3.15 ℓ of mango
is left? juice. She poured equal amount of juice
into 9 glasses. Find the volume, in ℓ, of
A 2—85 C 1—21 mango juice in each glass.
A 0.3
B 2—21 D 1—85 B 0.35
C 3.0
D 3.5

KBAT

49. In a lecture, 36% of 150 students are

45. The diagram below shows a conversation HOTS male students. Find the number of female
between Shanti and Jeethi. Analysing

students.

I bought 0.6 kg of rambutan. A 96

B 70

Jeethi C 64

The total mass of rambutan Shanti D 48
that I bought is 0.55 kg.
50. Susan used 2.7 kg of rice to cook nasi
What is the difference in mass, in kg, of lemak and 1.85 kg of rice to cook chicken
rambutans bought by the two students? rice. Find the total mass, in kg, of rice used
A 0.05 by Susan.
B 0.03 A 4.55
C 0.25 B 3.55
D 0.41 C 2.12
D 0.85

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  Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages

Subjective Questions

Instruction: Answer all the questions. Show the steps in solving the problem and write in the space
given.

1. The diagram below shows two circles 3. The following is a conversation between 3
divided into equal parts. pupils.

(a) State the mixed number for the
shaded parts for the whole diagram.
PL 1
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. Zain : The string that I use is 1.65 m
long.

Ahmad : The string that I use is 0.08 m
less than yours, Zain.

Irwan : The string that I use is the same
length as Ahmad’s.

(a) What is the length, in m, of Ahmad’s

string? PL 4

(b) Convert the answer in (a) into improper (b) Find the total length, in m, of Ahmad’s

fraction. PL 2 and Irwan’s strings.

PL 4

2. A container contains —170 kg of red beans. 4. The table below shows the volume of
(a) Mimi used —51 kg of red beans to sugarcane drink in container M and
make a dessert. What is the mass, in container N.
kg, of the remaining red beans? PL 4
Container Volume of sugarcane drink
M
2.168 ℓ
N
3 times the volume
of sugarcane drink in
container M.

(a) Determine the volume, in ℓ, of
sugarcane drink in container N. PL 4

(b) What is the mass, in kg, of the red

beans that needs to be added by (b) The volume of sugarcane drink in

Mimi so that the total mass of red container N is 2 times the volume of a
beans become —190 kg?
PL 5 container of orange juice. What is the

volume, in ℓ, of a container of orange

juice? PL 4

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Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages   

5. The diagram below shows a fraction card. (b) Find the difference between the
–110—30
number of male and female

students. PL 4

(a) Convert the fraction into percentage.

(b) Convert —34 into percentage.Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 7. A ribbon of 7.5 m is cut into 6 parts of the
same length.

(a) What is the length of each part of the

ribbon, in m? PL 4

6. There are 60 students attending a seminar. (b) 4 parts of the ribbon are used to tie
60% of them are male students.
(a) How many male students are there? a present. What is the total length of
PL 4
ribbon used? PL 4

HOTS Practice

1. The diagram shows the number of pens in a box.

96 pens

(a) Puan Zurin bought 1—41 of the box of pens. Determine the number of pens she bought.
(b) Puan Zurin took —23 of the number of pens she bought to be wrapped as gifts. How

many pens are left?

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  Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages

2. The table below shows the points obtained by four pupils during the first round of a
competition.

Pupil Julia Aina Lucas Ameerah
Points 4.36
5.15 4.82 5.07

(a) The pupil with the lowest number of points will be eliminated from the competition.
Mark ( ✓ ) on the student who will be eliminated.
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Julia ( )    Aina ( )    Lucas ( )    Ameerah ( )


(b) During the second round, the student who was at third place during the first round
received 3.6 points and became the champion with the highest number of points.
Calculate the maximum points received during round two by the student who was at
first place during the first round.

3. The diagram below shows the number of bookmarks in two boxes, P and Q.

Box P Box Q

300 bookmarks      250 bookmarks

Peng Guan took 40% of bookmarks from box P while Lina took 60% bookmarks from
box Q.

(a) Calculate the number of bookmarks taken by Peng Guan.

(b) Susan took the remaining bookmarks in boxes P and Q. Calculate the total number of
bookmarks taken by Susan.

© Penerbitan Pelangi Sdn. Bhd. 20

Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages   

Enrichment Practice 2

Instruction: Answer all the questions.

1. Which has the sum of —170 ? 6. Siti jogs a distance of 7.35 km in a week.
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The distance Siti jogs each day is the

A —31 + —31 C —52 + —130 same. Calculate the distance, in km, Siti
D —61 + —110
jogs in 4 days.

—49 + —31 A 3.5 C 4.2

B B 3.9 D 4.8


2. The table below shows the long jump 7. (a) Match the fraction to the correct
distance record of three participants. diagram.

Participant Distance •

Jun Hong 1.12 m

Aidil 0.04 m further than Jun —34 • •
Hong. •

Ramesh 0.27 m nearer than Aidil. (b) Convert —131 into mixed number.

What is the distance, in m, of Ramesh’s

jump?

A 1.43 C 0.89

B 1.34 D 0.75

3. Convert —54 into percentage.

A 80% C 0.8% 8. The diagram below shows three circles of
the same size. Each circle is divided into
B 8% D 0.08% equal parts of the same size.

4. 5% × 60 = C 30
A 3 000 D 3
B 300

5. Ali bought —25 kg of longan and —21 kg of Calculate the total fraction of the shaded
grapes. What is the total mass, in kg, for parts in all three circles.

both fruits purchased?

A 0.9 C 90

B 9 D 900

21 © Penerbitan Pelangi Sdn. Bhd.

  Mathematics  Year 4 Practice 2  Fractions, Decimals and Percentages

9. (a) The diagram below shows three 11. (a) The diagram below shows the mark
numbers on cards of different shapes. in a computer game match.

8.16 4.09 2.385 –180—70
Convert the mark into percentage.

Below, these cards are arranged as
follows. Solve it.

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.+– (b) Convert 30% into fraction.

(b) A bottle is filled with 0.85 ℓ water.
How many bottles are required to
85  ℓ water?

12. The diagram below shows the number of
buns in a box.

10. Below is the conversation between Janet
and Roy.

I bought a bunch of mustard 20 kaya buns
greens weighing 1.25 kg.
20 peanut buns
Janet
Ramesh bought 20% of kaya buns in the
I, on the other hand, bought Roy box.
0.65 kg more mustard greens
than you did. (a) Determine the number of buns bought
by Ramesh.

Determine the total mass, in kg, of the
mustard greens they bought.

(b) Calculate the fraction of peanut buns
from the total number of buns.

© Penerbitan Pelangi Sdn. Bhd. 22

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

5Practice THEME 2
Measurement and Geometry

Length, Mass and
Volume of Liquid

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.Smart Notes

1. Know the units of length, millimetre and (b) 51 cm 6 mm – 18 cm 4 mm – 9 mm
kilometre. = 33 cm 2 mm – 9 mm
= 32 cm 12 mm – 9 mm
(a) Millimetre (mm) is used to measure = 32 cm 3 mm
short objects.
6. Multiplication of units of length.
(b) Kilometre (km) is used to measure Example:
distance between two places. (a) 3 × 14 km 520 m
= 42 km 1 560 m
2. Relationship between units of length. = 43 km 560 m
(a) 1 cm = 10 mm
(b) 1 m = 100 cm (b) 8 × 10 cm 8 mm
(c) 1 km = 1 000 m = 80 cm 64 mm
= 86 cm 4 mm
3. Conversions of units of length.
7. Division of units of length.
× 10 × 1 000 Example:
(a) 126 cm 7 mm ÷ 7
1 cm = 10 mm 1 km = 1 000 m = 18 cm 1 mm

÷ 10 ÷ 1 000 (b) 41 km 275 m ÷ 5
= 40 km 1 275 m
× 100 = 8 km 255 m

1 m = 100 cm 8. Addition and subtraction of units of mass.
Example:
÷ 100 (a) 4 kg 650 g + 3 kg 320 g – 2 kg 85 g
= 7 kg 970 g – 2 kg 85 g
4. Addition of units of length. = 5 kg 885 g
Example:
(a) 15 km 805 m + 32 km 614 m (b) 17 kg 410 g – 13 kg 556 g + 4 kg 690 g
= 47 km 1 419 m = 16 kg 1 410 g – 13 kg 556 g +
= 48 km 419 m 4 kg 690 g
= 3 kg 854 g + 4 kg 690 g
(b) 14 cm 6 mm + 5 cm 7 mm + 8 cm 3 mm = 7 kg 1 544 g
= 27 cm 16 mm = 8 kg 544 g

= 28 cm 6 mm

5. Subtraction of units of length.
Example:
(a) 38 km 945 m – 20 km 725 m
= 18 km 220 m

37 © Penerbitan Pelangi Sdn. Bhd.

  Mathematics  Year 4 Practice 5  Length, Mass and Volume of Liquid

9. Multiplication and division of units of mass. (b) 3 ℓ 100 mℓ – 1 850 mℓ + 5 ℓ
Example: = 3 100 mℓ – 1 850 mℓ + 5 ℓ
(a) 4 × 6 kg 80 g ÷ 5 = 1 250 mℓ + 5 ℓ
= 24 kg 320 g ÷ 5 = 1 ℓ 250 mℓ + 5 ℓ
= 20 kg 4 320 g ÷ 5 = 6 ℓ 250 mℓ
= 4 kg 864 g
11. Multiplication and division of units of volume
(b) 19 kg 845 g ÷ 5 × 8 of liquid.
= 15 kg 4 845 g ÷ 5 × 8 Example:
= 3 kg 969 g × 8 (a) 51 ℓ ÷ 15 × 2
= 24 kg 7 752 g = 51 000 mℓ ÷ 15 × 2
= 31 kg 752 g = 3 400 mℓ × 2
= 6 800 mℓ
10. Addition and subtraction of units of volume of = 6 ℓ 800 mℓ
liquid.
Example: (b) 9 × 1 ℓ 840 mℓ ÷ 4
(a) 6 ℓ 700 mℓ + 2 ℓ 450 mℓ – 3 ℓ 620 mℓ = 9 ℓ 7 560 mℓ ÷ 4
= 8 ℓ 1 150 mℓ – 3 ℓ 620 mℓ = 16 ℓ 560 mℓ ÷ 4
= 5 ℓ 530 mℓ = 4 ℓ 140 mℓ
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
Objective Questions

Instruction:  Answer all the questions. Select only one correct answer.

5.1 Length 5. The diagram below shows the length of a
crayon.

1. Joanne measured the distance from her

house to school. Which measurement is 0 cm 1 2 3 4 5 6 7 8 9

the most possible answer?

A 2 mm C 200 km The length of the crayon is

B 20 cm D 2 000 m A 50 mm C 70 mm

2. 4 cm 6 mm = C 63 mm B 60 mm D 80 mm
A 36 mm D 64 mm
B 46 mm 6. The diagram below shows the distances
between three points.
3. 7 035 m = C 7 km 35 m
A 70 km 53 m D 7 km 25 m PR
B 70 km 35 m
1 km

4. 46 km 50 m + 38 km 920 m = Q
A 82 km 220 m C 84 km 970 m
B 83 km 190 m D 85 km 620 m Estimate the distance from Q to R based

on the distance from P to Q.

A 2 km C 4 km

B 3 km D 5 km

© Penerbitan Pelangi Sdn. Bhd. 38

Mathematics  Year 4 Practice 5  Length, Mass and Volume of Liquid   

7. 5 cm 6 mm + 18 mm = 17. Divide 245 mm by 7.
A 7 cm 2 mm A 2 cm 4 mm C 3 cm 3 mm
B 7 cm 3 mm B 2 cm 8 mm D 3 cm 5 mm
C 7 cm 4 mm
D 7 cm 6 mm 18. 36 km 320 m ÷ 8 =
A 4 km 540 m
8. 16 cm 8 mm + 6 cm 9 mm + 7 mm = B 4 km 620 m
A 24 cm 4 mm C 4 km 260 m
B 25 cm 8 mm D 4 km 880 m
C 26 cm 2 mm
D 28 cm 3 mm

9. 28 km 40 m + 15 km 225 m =
A 41 km 780 m C 44 km 505 m
B 43 km 265 m D 47 km 309 m
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 19. 20 607 m ÷ X = 6 869 m.

What is the value of X?

A 2 C 5

B 3 D 6

10. + 39 km 520 m + 17 km 5.2 Mass

= 70 km 215 m C 13 km 460 m 20. 6 kg 320 g – 4 kg 55 g + 7 kg 780 g =
A 12 km 365 m D 13 km 695 m A 10 kg 25 g
B 12 km 880 m B 10 kg 45 g
C 10 kg 250 g
11. 36 km 20 m – 19 km 400 m = D 10 kg 450 g
A 15 km 390 m C 17 km 420 m
B 16 km 620 m D 18 km 770 m 21. 10 kg 680 g + 9 kg 250 g –
= 17 kg 595 g.
12. Subtraction 8 cm 5 mm from 29 cm 7 mm.
A 21 cm 2 mm C 18 cm 7 mm What is the missing value?
B 20 cm 5 mm D 17 cm 4 mm A 1 kg 465 g
B 2 kg 180 g
13. 40 km 128 m – 7 km 365 m – 14 km 55 m C 2 kg 335 g
= D 3 kg 465 g

A 16 km 103 m C 17 km 425 m 22. Calculate the sum of 8 kg 200 g and

B 16 km 395 m D 18 km 708 m

14. 4 × 15 cm 8 mm = 2 100 g. Then, subtract 3 kg 200 g from
A 63 cm 2mm C 65 cm 3 mm
that sum.
B 64 cm 8 mm D 66 cm 1 mm
A 7 kg 50 g C 10 kg 100 g

B 7 kg 100 g D 10 kg 300 g

15. S × 22 cm 6 mm = 113 cm. 23. 2 550 g × 4 ÷ 5 = × 10

Determine the value of S. What is the missing value?

A 3 C 5 A 188 g C 256 g

B 4 D 6 B 204 g D 335 g

16. Find the product of 9 multiplied by 3 340 m. 24. 39 kg 400 g ÷ 4 × 7 =
A 30 km 45 m C 31 km 56 m A 59 kg 330 g C 68 kg 950 g
B 30 km 60 m D 32 km 70 m
B 65 kg 460 g D 70 kg 150 g

39 © Penerbitan Pelangi Sdn. Bhd.

  Mathematics  Year 4 Practice 5  Length, Mass and Volume of Liquid

25. 5 200 g divided by 4 and then multiplied 5.4 Problem solving
by 7 produces
A 6 kg 100 g 32. The height of Asma is 1 m 4 cm. Her height
B 6 kg 250 g
C 7 kg 350 g is 15 cm more than her sister’s. What is the
D 9 kg 100 g
height of her sister?

A 69 cm C 89 cm

B 79 cm D 99 cm

Penerbitan Pelangi Sdn Bhd. All Rights Reserved.5.3 Volume of liquid 33. The table below shows the length
measurements of three roads, P, Q and R.
26. 5 ℓ 540 mℓ + 1 220 mℓ – 4 ℓ 620 mℓ
= Road Length

A 2 040 mℓ C 3 200 mℓ P 3 km 500 m

B 2 140 mℓ D 4 200 mℓ Q 5 km more than road P

27. Which of the following matched is true? R 550 m more than road Q

A 4 ℓ + 700 mℓ – 300 mℓ • • 1 ℓ The length of road R is
A 10 km 500 m
B 3 ℓ – 600 mℓ + 400 mℓ • • 4 ℓ B 9 km 50 m
C 6 km 550 m
C 2 ℓ + 200 mℓ – 1 ℓ 200 mℓ • • 4 ℓ D 3 km 555 m

D 1 ℓ – 200 mℓ + 3 ℓ • • 3 ℓ

28. 17 ℓ 250 mℓ – 5 ℓ 700 mℓ + 34. Puan Juita made 5 handkerchiefs. Each
= 14 ℓ 700 mℓ handkerchief requires 24 cm 5 mm of
A 3 ℓ 150 mℓ cloth. Find the total length, in cm and mm,
B 4 ℓ 150 mℓ of cloth required by Puan Juita.
C 5 ℓ 150 mℓ
D 6 ℓ 150 mℓ A 122 cm 5 mm C 120 cm 5 mm

B 121 cm 2 mm D 119 cm 5 mm

29. 3 ℓ 550 mℓ × 6 ÷ 3 = ℓ 100 mℓ 35. The diagram below shows the volume of
sugarcane drink in two jugs.
The missing value is

A 9 C 7

B 8 D 3

30. 36 ℓ 250 mℓ ÷ 5 × 3 = 2 l 350 ml 3 l 200 ml
A 21 ℓ 750 mℓ
B 18 ℓ 750 mℓ As much as 2 ℓ 600 mℓ of sugarcane
C 15 ℓ 750 mℓ
D 12 ℓ 750 mℓ

31. mℓ ÷ 3 × 7 = 4 ℓ 900 mℓ drink has been consumed. Calculate

the volume, in mℓ, of sugarcane drink

A 4 600 C 2 100 left.
B 4 200 D 1 100
A 2 950 C 3 020

B 2 990 D 3 200

© Penerbitan Pelangi Sdn. Bhd. 40

Mathematics  Year 4 Practice 5  Length, Mass and Volume of Liquid   

36. Julia bought 4 boxes of orange juice 38. The diagram below shows the masses of
two baskets of durians, M and N.
with a volume of 1 ℓ 600 mℓ each box.

She filled 25 glasses with orange juice in

equal amount. What is the volume, in mℓ,

of orange juice in each glass?

A 430 C 256

B 336 D 185

Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 37. The diagram below shows the mass of a18 kg 500 g9 750 g
packet of rice. M N

RICE The total mass of both baskets of durians
is 14 kg 620 g more than basket K. What
5 kg 100 g is the mass of durians in basket K?
A 13 kg 760 g
2 same packets of rice were poured B 13 kg 630 g
C 12 kg 360 g
into 8 containers. What is the mass, D 12 kg 130 g

in g, of rice in each container?

A 1 775 C 1 400

B 1 560 D 1 275

Subjective Questions

Instruction: Answer all the questions. Show the steps in solving the problem and write in the space
given.

1. The lengths of two rolls of red ribbons are 2. Lim boarded a bus from bus stop P to

85 cm 7 mm and 588 mm each. bus stop Q. The distance between the

(a) Calculate the total length, in cm and two bus stops is 4 km 578 m.

mm, of both red ribbons. PL 4 (a) Lim walked from bus stop Q to

Siti’s house for 520 m. Determine

the distance Lim covered from bus

(b) Hani used the ribbons to tie up stop P to Siti’s house. PL 4

presents. Each present requires

350  mm of ribbon. The remainder

of the ribbon is 15 mm. How many

presents did Hani tie up? PL 5

(b) Lim and Siti rode on a car together
from Siti’s house to a supermarket.
The distance to the supermarket

41 © Penerbitan Pelangi Sdn. Bhd.

  Mathematics  Year 4 Practice 5  Length, Mass and Volume of Liquid

is 15 times the distance from bus (b) The mass of the papaya is 3 times
the mass of an orange. Calculate the
stop Q to Siti’s home. Find the mass, in kg and g, of the papaya. On
the weighing scale, draw the needle
distance to the supermarket, in km showing the mass of the papaya.
PL 5
and m. PL 4

Penerbitan Pelangi Sdn Bhd. All Rights Reserved. 4. (a) 8 ℓ of soy milk is poured into 100

glasses in equal amount. What is

3. The diagram below shows a papaya the volume, in mℓ, of soy milk in 8
and 4 oranges of the same mass on two
weighing scales. glasses? PL 5

(b) Mark ( ✓ ) for the highest volume of
water.

5 5
4 kg 1 4 kg 1

32 32

(a) Write the mass, in g, of the 4 oranges. ( ) ()
( )

HOTS Practice

The diagram below shows the mass of flour and volume of condensed milk used to make a
cake.

5g0ra0m      30 ml
condensed milk
500 g

Calculate the volume, in ml, of condensed milk required if the mass of flour used is 2 kg 250 g?

© Penerbitan Pelangi Sdn. Bhd. 42

Mathematics  Year 4 Practice 5  Length, Mass and Volume of Liquid   

Enrichment Practice 5

Instruction: Answer all questions. 4. The diagram below shows the length of a
nail.
1. Aina used 3 m 55 cm of cloth to sew a
baju kebaya. What is the length, in m 0 cm 1 2 3 4 5 6 7 8 9
and cm, of cloth required to make 4 of the
same baju kebaya? (a) State the length, in cm, of the nail.
A 11 m 70 cm
B 12 m 45 cm (b) Ganesh wants to make an equilateral
C 13 m 68 cm triangle whereby the total length of all
D 14 m 20 cm the sides is 60cm. How many nails
does Ganesh need?
2. The table below shows the masses of fourPenerbitan Pelangi Sdn Bhd. All Rights Reserved.
baskets of durians.

Basket Mass 5. The mass of a small packet of sugar is
K
L 46 kg

M 5 kg 360 g less than
basket K
N
1 kg 200 g lighter than
basket N 650 g. The mass of a glass container and

7 kg 880 g less than
basket K

Which basket of durians is the lightest? 6 packets of sugar is 4 kg 500 g
A Basket K
B Basket L KBAT
C Basket M
D Basket N (a) Determine the mass, in g, of only the

HOTS glass container.
Applying

3. The volume of a bottle of sarsi cordial is (b) Maya took 3 packets of sugar out
1 ℓ 400 mℓ. Madam Meena bought 3 of the glass container. Calculate
bottles of orange cordial. She poured the mass, in kg and g, of the glass
the same amount of cordial into 7 drink container and the remaining sugar in
containers to make the drink. Find the the container.
volume, in mℓ, of orange cordial in each
container.

A 200

B 600

C 2 100

D 4 200

43 © Penerbitan Pelangi Sdn. Bhd.

ANSWERS

PAK-21 Activity Enrichment Practice 1
2. A
1. Any possible correct answer from the pupil is 1. B
accepted. 3. D (b) 45 600
4. (a) 10 234 (b) 2 979
2. Any possible correct answer from the pupil is 5. (a) 60 000
accepted.

3. Any possible correct answer from the pupil is
accepted.

4. i. Rambutan
ii. Watermelon
iii. Papaya and mangosteen
iv. Assists in determining location easily.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved. Practice 2 Fractions, Decimals and

P­ ercentages

Objective Questions

Practice 1 Numbers and Operations 1. B 2. C 3. A 4. D 5. C
6. C 7. A 8. B 9. D 10. C
Objective Questions 11. B 12. D 13. B 14. C 15. A
16. D 17. C 18. D 19. D 20. B
1. B 2. D 3. C 4. B 5. D 21. C 22. D 23. B 24. A 25. D
6. C 7. A 8. B 9. A 10. C 2 6. C 27. B 28. D 29. B 30. D
11. C 12. A 13. D 14. D 15. C 31. A 32. C 33. C 34. D 35. B
16. B 17. C 18. D 19. D 20. D 3 6. A 37. B 38. B 39. D 40. B
21. C 22. A 23. A 24. B 25. A 41. C 42. A 43. A 44. D 45. A
2 6. B 27. D 28. B 29. C 30. A 46. C 47. D 48. B 49. A 50. A
31. C 32. C 33. B 34. B 35. B
36. B 37. A 38. A 39. C 40. D Subjective Questions
41. A 42. C 43. D 44. A 45. D
46. A 47. C 1. (a) 1 1 (b) 3
2 2
1 2
2. (a) 2 kg (b) 5 kg

Subjective Questions 3. (a) 1.57 m (b) 3.14 m

1. (a) Forty thousand three hundred and fifteen 4. (a) 6.504 l (b) 13.008 l

(b) 96 704 5. (a) 13% (b) 75%

2. (a) 10 235 (b) 200 6. (a) 36 pupils (b) 12 pupils

3. (a) 70 7. (a) 1.25 m (b) 5 m

(b) 6 ten thousands + 5 thousands + 7 tens + 8 ones

4. (a) 83 296, 84 396, 98 356, 98 536, 100 000 HOTS Practice

(b) Count down in 250s (in descending order) 1. (a) 120 pens (b) 40 pens
2. (a) Julia ( ✓ ) (b) 3.27 points
5. (a) 26 000 3. (a) 120 bookmarks

(b) Any 3 numbers from 25 500 till 26 499. (b) 280 bookmarks

6. (a) 125 mℓ

(b) 425 mℓ

7. (a) 7 200 Enrichment Practice

(b) 34 900 2

8. (a) 39 720 1. C 2. C
3. A 4. D
(b) 2 482 remainder 8 5. A 6. C

9. 3 805 7. (a)

10. 17 250

HOTS Practice 4
3
(a) Any number from 35 000 till 39 999.
(b) 4 999

A 1 © Penerbitan Pelangi Sdn. Bhd.

  Mathematics  Year 4 Answers

(b) 3 2 Subjective Questions
3
1. (a) 4 weeks 2 days (b) 6 weeks 6 months
8. 1 1 2. (a) 12 years (b) 5 years 3 months
4

9. (a) 9.865 (b) 100 bottles HOTS Practice
10. 3.15 kg
3
11. (a) 87% (b) 10 13 years

12. (a) 4 buns (b) 1 Enrichment Practice 4
2
1. B 2. A
3. D 4. C
5. (a) 35 minutes
(b) 6:20 p.m.
Practice 3 MoneyPenerbitan Pelangi Sdn Bhd. All Rights Reserved.

Objective Questions Practice 5 Length, Mass and Volume of

1. B 2. C 3. A 4. B 5. A Liquid
6. C 7. A 8. D 9. B 10. C
11. B 12. C 13. C 14. C 15. D Objective Questions
16. B 17. C 18. D 19. A 20. C
21. C 22. A 23. B 24. A 25. C 1. C 2. B 3. C 4. C 5. B
26. D 27. C 28. D 29. D 30. B 6. C 7. C 8. A 9. B 10. D
31. A 32. C 33. A 34. C 35. B 11. B 12. A 13. D 14. A 15. C
3 6. C 37. A 38. A 39. D 40. B 16. B 17. D 18. A 19. B 20. B
21. C 22. B 23. B 24. C 25. D
Subjective Questions 26. B 27. C 28. A 29. C 30. A
1. (a) China 31. C 32. C 33. B 34. A 35. A
3 6. C 37. D 38. B

(b)        

Subjective Questions
( ) ( ) ( ✓ ) (b) 4 presents
1. (a) 141 cm 5 mm (b) 7 km 800 m
2. (a) RM3 711.70 (b) RM1 058.95 2. (a) 5 km 98 m
3. (a) 1 600 g
(c) Credit card
(b) 1 200 g
(Accept any reasonable answer given by pupil.)

3. (a) RM13 764

(b) A refrigerator and a gas stove

HOTS Practice 5
4 kg 1

32

RM125.80

4. (a) 640 mℓ

Enrichment Practice 3 (b)        

1. A 2. B
3. A 4. C (   ✓   ) ( ) ( )

Practice 4 Time HOTS Practice

Objective Questions 135 mℓ

1. D 2. A 3. B 4. C 5. B Enrichment Practice 5
6. C 7. A 8. B 9. B 10. C
11. B 12. D 13. A 14. C 15. B 1. D (b) 12 nails
16. A 17. A 18. C 19. D 20. B 2. C (b) 2 kg 550 g
21. A 22. B 23. C 24. D 25. A 3. B
2 6. B 4. (a) 5 cm
5. (a) 600 g

© Penerbitan Pelangi Sdn. Bhd. A 2

Practice Makes Perfect! PRAKTIS PINTAR KSSR FRC324932 Praktis PINTAR

4MATHEMATICSYEAR Subject YEAR
SEMAKAN
KSSR Bahasa 1 2 3 456
Melayu
PRAKTIS PINTAR KSSR series features topical Tatabahasa ✔✔✔✔✔✔
practices to supplement the textbooks and the
Classroom Assessment (Pentaksiran Bilik Darjah or PBD). ✔✔✔
These practices are useful as reinforcement andPenerbitan Pelangi Sdn Bhd. All Rights Reserved.
enrichment materials, as well as formative Penulisan ✔✔✔
assessments to gauge pupils’ learning. The concept English ✔✔✔✔✔✔
of HOTS and i-THINK are also incorporated in the
practices to fulfil the latest requirements. Grammar ✔✔✔
A summative assessment is also provided to assess
pupils’ overall achievement. This series is indeed the Writing ✔✔✔
best choice to enhance teaching and learning in the
subject. Matematik / ✔ ✔ ✔ ✔ ✔ ✔
Mathematics

Sains / ✔✔✔✔✔✔ Mathematics
Science

Sejarah ✔✔✔

Pendidikan ✔✔✔✔✔✔
Islam ✔✔✔✔✔✔

Pelajaran
Jawi

© Penerbitan Pelangi Sdn. Bhd. 2022 Year 4
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.

First Published 2022

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