My Nilam Maths Year 5 (DLP)

CS 11.6 Problem solving involving time Textbook: pp. 157–159

A Solve the following problems. LS 11.6 (i) LEVEL 4 & 5

1 Mr Ruzaimi’s age is 2 decades 5 years while his mother’s
age is 20 years older than him.

What is the age of Ruzaimi’s mother, in year?

2 Planet Uranus takes 84 years to make a complete

rotation around the Sun.
What is the time taken, in decade and year, to make 8

complete rotations?

3 Total age of two twin siblings is 1 century 34 years.
Calculate the age, in decade and year, of each one of the

twin siblings.

Mathematics • Year 5 48 © Nilam Publication Sdn. Bhd.

UNIT LENGTH

12

Textbook: pp. 161 – 178

Skill-based Activities

CS 12.1 Conversion of units of length in decimal and fraction

A Change the following into the units stated in the brackets. LS 12.1 (i), (ii) LEVEL 1

Textbook: pp. 161–164

1 2.5 cm [mm] 2 48 mm [cm] 3 7 cm 6 mm [cm]
= = =

4 31.2 m [cm] 5 620 cm [m] 6 8 m 75 cm [m]
= = =

7 2.9 km [m] 8 25 800 m [km] 9 8 km 70 m [km]
= = =

10 9 1 cm [mm] 11 10 4 m [cm] 12 6 2 km [m]
2 5 5

= = =

© Nilam Publication Sdn. Bhd. 49 Mathematics • Year 5

CS 12.2 Addition of length

A Add and give answer in the units stated in the brackets. LS 12.2 (i) LEVEL 2 & 3

Textbook: pp. 165–166

1 7 mm + 3.8 mm [mm] 2 6.2 cm + 9 cm [cm]
= =

3 24.9 m + 1.05 m [m] 4 9 cm + 6 mm [mm]
= =

5 12.3 m + 500 cm [cm] 6 0.08 km + 80 m [m]
= =

7 9 1 cm + 42 mm + 3 cm [mm] 8 6 1 km + 3.4 km + 8 km 20 m [m]
2 4

= =

Mathematics • Year 5 50 © Nilam Publication Sdn. Bhd.

CS 12.3 Subtraction of length

A Subtract and give answer in the units stated in the brackets. LS 12.3 (i) LEVEL 2 & 3

Textbook: pp. 167–168

1 100 mm – 32.7 mm [mm] 2 8.1 cm – 4 cm [cm]
= =

3 208.1 m – 92.5 m [m] 4 8 cm – 9 mm [mm]
= =

5 17.2 m – 500 cm [cm] 6 8.07 km – 980 m [m]
= =

7 7 1 cm – 28 mm – 0.7 cm [mm] 8 8 3 km – 2.08 km – 5 km 3 m [m]
2 10

= =

© Nilam Publication Sdn. Bhd. 51 Mathematics • Year 5

CS 12.4 Multiplication of length

A Multiply and give answer in the units stated in the brackets. LS 12.4 (i) LEVEL 2 & 3

Textbook: pp. 169–170

1 8 × 0.9 cm [cm] 2 9 × 3.9 cm [mm]
= =

3 4 × 2.08 km [m] 4 16 × 850 m [km]
= =

5 100 × 3 1 m [cm] 6 1 000 × 2 1 cm [m]
4 5 [m]

= =

7 18 × 3 1 m [cm] 8 100 × 9 1 cm
5 2

= =

Mathematics • Year 5 52 © Nilam Publication Sdn. Bhd.

CS 12.5 Division of length

A Divide and give answer in the units stated in the brackets. LS 12.5 (i) LEVEL 2 & 3

Textbook: pp. 171–172

1 30.6 mm ÷ 9 [mm] 2 24.8 cm ÷ 4 [cm]
= =

3 56.1 cm ÷ 3 [mm] 4 3.07 km ÷ 100 [m]
= =

5 12 1 m ÷ 50 [cm] 6 840 1 m ÷ 1 000 [cm]
2 2 [km]

= =

7 4 km 18 m ÷ 100 [m] 8 8 km 10 m ÷ 9
= =

© Nilam Publication Sdn. Bhd. 53 Mathematics • Year 5

CS 12.6 Problem solving involving length Textbook: pp. 173–177

A Solve the following problems. LS 12.6 (i) LEVEL 4

1 Amirul cycles as far as 2.3 km on Monday and

5 1 km on Tuesday. On Wednesday he cycles as
2

far as 2 km 50 m only.
What is the total, in km, of the distance Amirul

cycles in the three days?

2 Miss Zurina buys a roll of cloth with the length of

28.5 m. She uses 15 1 m of the cloth to sew a
4

curtain and 5 4 m to make a tablecloth.
5

What is the balance, in m, of unused cloth?

3 Leha has 15 3 m of cloth. She uses 2 of the
5 5

cloth to sew a shirt and 800 cm more to make a

tablecloth.
What is the balance, in m, of the length of cloth still

unused?

Mathematics • Year 5 54 © Nilam Publication Sdn. Bhd.

UNIT MASS

13

Textbook: pp. 179 – 192

Skill-based Activities

CS 13.1 Conversion of mass in decimal and fraction

A Solve and give answer in the units stated in the brackets. LS 13.1 (i) LEVEL 1

Textbook: pp. 179–180

1 5 kg [g] 2 6.45 kg [g] 3 0.7 kg [g]
= = =

4 6 kg 8 g [g] 5 9 kg 70 g [g] 6 7 kg 620 g [g]
= = =

7 500 g [kg] 8 8 700 g [kg] 9 19 kg 60 g [kg]
= = =

10 8 3 kg [g] 11 12 1 kg [g] 12 6 1 kg [g]
4 2 5

= = =

© Nilam Publication Sdn. Bhd. 55 Mathematics • Year 5

CS 13.2 Addition of mass

A Add and give answer in the units stated in the brackets. LS 13.2 (i) LEVEL 2 & 3

Textbook: pp. 181–182

1 0.4 kg + 2 kg [kg] 2 150 g + 2 030 g [g]
= =

3 3.7 kg + 250 g [g] 4 1.03 kg + 50 g [kg]
= =

5 3 1 kg + 650 g + 1.2 kg [g] 6 2.5 kg + 6 kg 60 g + 8 1 kg [g]
4 2

= =

7 1 1 kg + 6 025 g + 0.8 kg [kg] 8 7 kg 8 g + 4 7 kg + 1.05 kg [kg]
5 10

= =

Mathematics • Year 5 56 © Nilam Publication Sdn. Bhd.

CS 13.3 Subtraction of mass

A Subtract and give answer in the units stated in the brackets. LS 13.3 (i) LEVEL 2 & 3

Textbook: pp. 183–184

1 8.7 kg – 6 kg [kg] 2 6 040 g – 1 050 g [g]
= =

3 1.9 kg – 830 g [g] 4 12.3 kg – 180 g [kg]
= =

5 8 1 kg – 700 g – 4.2 kg [g] 6 20.5 kg – 13 kg 80 g – 4 kg [g]
2 5

= =

7 10 1 kg – 3 550 g – 3.9 kg [kg] 8 15 kg 90 g – 4 3 kg – 9.5 kg [kg]
4 4

= =

© Nilam Publication Sdn. Bhd. 57 Mathematics • Year 5

CS 13.4 Multiplication of mass

A Multiply and give answer in the units stated in the brackets. LS 13.4 (i) LEVEL 2 & 3

Textbook: pp. 185–186

1 5 × 0.4 kg [kg] 2 6 × 150 g [g]
= =

3 10 × 0.2 kg [g] 4 100 × 0.04 kg [g]
= =

5 1 000 × 30 g [kg] 6 15 × 1 kg 80 g [kg]
= =

7 6× 2 kg [g] 8 25 × 2 1 kg [g]
5 2

= =

Mathematics • Year 5 58 © Nilam Publication Sdn. Bhd.

CS 13.5 Division of mass

A Divide and give answer in the units stated in the brackets. LS 13.5 (i) LEVEL 2 & 3

Textbook: pp. 187–188

1 5.25 kg ÷ 5 [kg] 2 650 g ÷ 50 [g]
= =

3 0.72 kg ÷ 9 [g] 4 1 500 g ÷ 20 [kg]
= =

5 65 000 g ÷ 100 [kg] 6 2.7 kg ÷ 1 000 [g]
= =

7 5 1 kg ÷ 10 [g] 8 6 1 kg ÷ 100 [g]
4 5

= =

© Nilam Publication Sdn. Bhd. 59 Mathematics • Year 5

CS 13.6 Problem solving involving mass Textbook: pp. 189–191

A Solve the following problems. LS 13.6 (i) LEVEL 4 & 5

1 Risma has bought 6 1 kg of flour to make a
2

cake. She uses 1.80 kg to make chocolate-

flavoured cake and 850 g to make vanilla-

flavoured cake.
What is the mass, in kg, of flour left?

2 Mrs Rina uses 100 sticks of butter to make

biscuits for the festive season. Mass of each

stick of butter is 1 kg.
4
What is the mass, in kg, of butter used?

3 Zura buys 23.04 kg of sugar. She repackages

the sugar into 9 similar packs.
What is the mass, in g, of one pack of the

sugar?

Mathematics • Year 5 60 © Nilam Publication Sdn. Bhd.

UNIT VOLUME OF LIQIUD

14

Textbook: pp. 193 – 206

Skill-based Activities

CS 14.1 Conversion of volume of liquid in decimal and fraction

A Solve and give answer in the units stated in the brackets. LS 14.1 (i) LEVEL 1

Textbook: pp. 193–194

1 7 l [ml] 2 0.4 l [ml] 3 2.3 l [ml]

= = =

4 9 l 20 ml [ml] 5 3 l 8 ml [ml] 6 23 l 40 ml [ml]

= = =

7 560 ml [l] 8 7 500 ml [l] 9 14 l 120 ml [l]

= = =

10 9 7 l [ml] 11 13 1 l [ml] 12 4 3 l [ml]
10 2 4

= = =

© Nilam Publication Sdn. Bhd. 61 Mathematics • Year 5

CS 14.2 Addition of volume of liquid

A Add and give answer in the units stated in the brackets. LS 14.2 (i) LEVEL 2 & 3

Textbook: pp. 195–196

1 0.35 l + 0.3 l [l] 2 120 ml + 700 ml [ml]

= =

3 1.05 l + 70 ml [ml] 4 3.2 l + 600 ml [l]

= =

5 4 1 l + 120 ml + 0.24 l [ml] 6 1.8 l + 8 l 90 ml + 1 3 l [ml]
2 4

= =

7 10 4 l + 2 450 ml + 0.9 l [l] 8 40 l 20 ml + 12 1 l + 7.02 l [l]
5 8

= =

Mathematics • Year 5 62 © Nilam Publication Sdn. Bhd.

CS 14.3 Subtraction of volume of liquid

A Subtract and give answer in the units stated in the brackets. LS 14.3 (i) LEVEL 2 & 3

Textbook: pp. 197–198

1 9.08 l – 0.3 l [l] 2 930 ml – 260 ml [ml]

= =

3 8.7 l – 1 900 ml [ml] 4 12.9 l – 9 080 ml [l]
= =

5 4 3 l – 700 ml – 2.8 l [ml] 6 25.8 l – 12 l 90 ml – 1 l [ml]
4 4

= =

7 200 1 l – 39.5 l – 19.6 l [l] 8 80 l 70 ml – 60 2 l – 17.8 l [l]
2 5

= =

© Nilam Publication Sdn. Bhd. 63 Mathematics • Year 5

CS 14.4 Multiplication of volume of liquid

A Multiply and give answer in the units stated in the brackets. LS 14.4 (i) LEVEL 2 & 3

Textbook: pp. 199–200

1 6 × 0.54 l [l] 2 8 × 300 ml [ml]

= =

3 13 × 0.05 l [ml] 4 100 × 0.3 l [ml]
= =

5 1 000 × 14 ml [l] 6 36 × 2 l 75 ml [l]
= =

7 10 × 3 l [ml] 8 4 × 2 3 l [ml]
5 5

= =

Mathematics • Year 5 64 © Nilam Publication Sdn. Bhd.

CS 14.5 Division of volume of liquid

A Divide and give answer in the units stated in the brackets. LS 14.5 (i) LEVEL 2 & 3

Textbook: pp. 201–202

1 2.4 l ÷ 8 [l] 2 8 000 ml ÷ 20 [ml]
= =

3 4.05 l ÷ 9 [ml] 4 6 050 ml ÷ 50 [l]
= =

5 8.2 l ÷ 100 [ml] 6 8 l 1 ml ÷ 9 [ml]
= =

7 8 1 l ÷ 10 [ml] 8 8 1 l ÷ 100 [ml]
2 5

= =

© Nilam Publication Sdn. Bhd. 65 Mathematics • Year 5

CS 14.6 Problem solving involving volume of liquid Textbook: pp. 203–205

A Solve the following problems. LS 14.6 (i) LEVEL 4 & 5

1 In a jug there are 6 l of orange juice. Kasmira

drinks 1 200 ml of the juice. 2 3 l of the juice
4

are given to Ahmad.
What is the volume, in l, of orange juice that is

left?

2 A jug contains 3 2 l of grape juice. Shanti
5

pours the juice into 8 glasses of equal size.
What is the volume, in ml, of the grape juice in

each glass?

3 Volume of water in container P is 3 l 70 ml.

Volume of water in container Q is 1 1 l less
8
than container P while volume of water in

container R is 2 times the volume of water in

container Q.

What is the volume, in l, of water in container

R?

Mathematics • Year 5 66 © Nilam Publication Sdn. Bhd.

UNIT SPACE

15

Textbook: pp. 207 – 220

Skill-based Activities

CS 15.1 Perimeter, area and volume

A Find the perimeter of the following combined shapes. LS 15.1 (i) LEVEL 3 Textbook: pp. 207–209

1 9 cm 2

4 cm 18 cm 7 cm

5 cm Perimeter 16 cm
=
Perimeter
=

3 4

24 cm 30 cm 8 cm 10 cm
14 cm
10 cm Perimeter
18 cm =

Perimeter
=

5 6

8 cm 18 cm 4 cm
13 cm
7.2 cm
5 cm

3 cm 5 cm 4.5 cm

Perimeter Perimeter
= =

© Nilam Publication Sdn. Bhd. 67 Mathematics • Year 5

B Find the area of the following combined shapes. LS 15.1 (ii) LEVEL 3 Textbook: pp. 210–212
20 cm
1 2
12 cm
8 cm

4 cm

16 cm

4 cm

8 cm

17 cm

Area Area
= =

3 4

16 cm 5 cm
10 cm 10 cm

6 cm 12 cm 8 cm
6 cm
Area
= Area
=

Mathematics • Year 5 68 © Nilam Publication Sdn. Bhd.

C Find the volume of the following diagrams. LS 15.1 (iii) LEVEL 3 Textbook: pp. 213–214

1 2 6 cm
4 cm
3 cm 2 cm 8 cm
3 cm
9 cm

3 cm

5 cm

Volume Volume
= =

3 4 5 cm
6 cm
4 cm 4 cm

15 cm

3 cm 3 cm
4 cm
20 cm
Volume
= 9 cm

Volume
=

© Nilam Publication Sdn. Bhd. 69 Mathematics • Year 5

CS 15.2 Angle CS 15.3 Parallel lines and perpendicular lines

A Measure all angles using protractor and state the angles. LS 15.2 (i) LEVEL 2

Textbook: pp. 215–216

a b Value of angle:
f e 1. a =
2. b =
c 3. c =
d 4. d =
5. e =
6. f =

B By using set square and ruler, draw the following lines. LS 15.3 (i) Textbook: pp. 215–218

1 Parallel with line MN 2 Perpendicular with line ST

M T

N S

3 Perpendicular with line AB 4 Parallel with line PQ

AB P

Q

Mathematics • Year 5 70 © Nilam Publication Sdn. Bhd.

UNIT COORDINATES

16

Textbook: pp. 221 – 226

Skill-based Activities

CS 16.1 Coordinates in the first quadrant 221

A Label the x-axis, y-axis and origin at the diagram below. Then, name the diagram.

LS 16.1 (i) LEVEL 1 Textbook: pp.

1 This vertical axis is

0 2 This horizontal axis is
3

4 What is the name of the diagram above? Mathematics • Year 5


© Nilam Publication Sdn. Bhd. 71

B Complete the table and write the coordinates of the following places. LS 16.1 (ii) LEVEL 2 & 3

Textbook: pp. 221–222

y

8

7

6 School
Mosque
Aviary
5

4

3

Police station
2

1

Kamal’s house Hospital x

0 1234567

Place Coordinate
1 Kamal’s house 72 © Nilam Publication Sdn. Bhd.
2 Police station
3 Aviary
4 School
5 Hospital
6 Mosque

Mathematics • Year 5

C At the Cartesian plane below, mark the following points. LS 16.1 (iii) LEVEL 2 & 3

Textbook: pp. 223–224

A (1 , 7) B (8 , 0) C (9 , 1) D (2 , 0) E (3 , 4)
F (4 , 8) G (5 , 7) H (3 , 3) I ( 6 , 1) J (5 , 10)

y
10

9
8
7
6
5
4
3
2
1

x
0 1 2 3 4 5 6 7 8 9 10

© Nilam Publication Sdn. Bhd. 73 Mathematics • Year 5

UNIT RATIO

17

Skill-based Activities Textbook: pp. 227 – 232
Textbook: pp. 227–230
CS 17.1 Ratio

A State the ratio for each of the following. LS 17.1 (i) LEVEL 1, 2 & 3

12

34

56

Mathematics • Year 5 74 © Nilam Publication Sdn. Bhd.

B Solve the following problems. LS 17.1 (i) LEVEL 4 & 5 Textbook: pp. 228–231
Mathematics • Year 5
1

10 cm

T
R

5 cm

1 cm 20 cm

State the ratio of the volume of cube R to the
volume of cuboid T.

2

M N 20 cm

1 cm 50 cm

State the ratio of the area of square M to the
area of rectangle N.

3

1 cm

1 cm

Draw a square K and a rectangle L that shows
the ratio of area of square K to the area of
rectangle L is 1:10 at the above squares.

© Nilam Publication Sdn. Bhd. 75

UNIT DATA HANDLING

18

Textbook: pp. 233 – 242

Skill-based Activities

CS 18.1 Mode, median, mean and range

A Find the value of mode, median, mean and range for each data given. LS 18.1 (ii) LEVEL 3

Textbook: pp. 235–236

1 2235621 2 10, 12, 13, 13, 15, 13, 11, 13, 10, 15

3 Mass (kg) 20 30 40 45 4 Score 50 60 70 80

Number of pupils 2 3 4 1 Number of pupils 1 4 2 3

Mathematics • Year 5 76 © Nilam Publication Sdn. Bhd.

CS 18.2 Data

A Based on the data given, construct a horizontal and vertical pictograph by using suitable

key and write the title for the pictograph. LS 18.2 (i) LEVEL 1, 2 & 3 Textbook: pp. 237–238

Grade ABCDE

Number of pupils 15 20 10 5 25

Horizontal pictograph:
Title:

Grade A

Grade B

Grade C

Grade D

Grade E

Key: represents people

Vertical pictograph:
Title:

Grade A Grade B Grade C Grade D Grade E
77
Key: represents people

© Nilam Publication Sdn. Bhd. Mathematics • Year 5

B Based on the data given, construct a vertical and horizontal bar graph by using suitable

label and write the title for the bar graph. LS 18.2 (i) LEVEL 1, 2 & 3 Textbook: pp. 239–241

Class Perdana Waja Wira Satria Exora
Number of pupils 24 32 20 28 36

Horizontal bar graph:
Title:

Exora
Satria

Wira
Waja
Perdana

0 4 8 12 16 20 24 28 32 36 40

Vertical bar graph:
Title:

40 Waja Wira Satria Exora
36
32
28
24
20
16
12

8
4

0
Perdana

Mathematics • Year 5 78 © Nilam Publication Sdn. Bhd.

Pra-UPSR MODEL PAPER Paper1 SCORE TOTAL

Paper 2

40 60 100

PA P E R 1 [40 marks] Time: One hour

This paper consists of 40 questions. Answer all questions. Each question is followed by four options, A,
B, C and D. For each question, choose only one answer.

1 ‘Seven hundred forty thousand six hundred 7 Diagram 1 is a Cartesian plane that shows the
location of five points, P, Q, R, S and T.
and thirty-nine’ in numerals is
A 74 639 y
B 704 639
C 740 639 P
D 746 039 6

2 What is the place value of digit 5 in number 5
R
425 376?
A Ten thousands 4
B Thousands Q
C Hundreds
D Tens 3
T

2
S

1

3 470 629 = x
A 400 000 + 70 000 + 600 + 20 + 9
B 400 000 + 70 000 + 6 000 + 200 + 0 + 9 0 1 23456
C 400 000 + 7 000 + 600 + 20 + 9
D 400 000 + 70 000 + 6 000 + 200 + 90 Diagram 1

4 117 years in decade and year is Coordinate of point T is
A 11 decades 7 years A (4 , 1)
B 11 decades 17 years B (2 , 3)
C 1 decade 17 years C (5 , 4)
D 1 decade 7 years D (6 , 2)

5 4 1 km = m 8 1 : 6 is equal to
4
A 1
A 4 250 6

B 4 300 B 6
1
C 4 400
C 30%
D 4 520 D 0.3

6 7.05 l = 9 Mean of the number of marbles owned by
A 705
B 7 005 ml Aiman, Zaril, Chong and Siva is 48.
C 7 050 Calculate the total number of marbles owned
D 7 500
by all four of them. C 190
A 185 D 192
B 188

© Nilam Publication Sdn. Bhd. 79 Mathematics • Year 5

10 Diagram 2 shows a triangle. 15 Diagram 3 shows three number cards that
shows the value of money.
s
RM800.50 RM6 700 RM809 450.70
Diagram 2
Diagram 3
Find the value of angle s by using protractor.
A 45° What is the total value of money above?
B 50° A RM816 159.20
C 80° B RM816 195.20
D 90° C RM816 915.20
D RM816 951.20

16 17 decades 4 years × 25 =
A 425 decades
B 435 decades
C 436 decades
D 436 decades 10 years

11 Convert 14 to percentage. 17 21.5 m – 645 cm – 11 9 m= cm
5 10

A 280% A 0.315 C 31.5

B 145% B 3.15 D 315

C 95%

D 80% 18 6 × 2 7 l=
10
12 308 093 – 207 063 ÷ 9 =
A 258 068 A 12.6 ml C 12 600 ml
B 258 086 D 16 200 ml
C 285 086 B 16.2 ml
D 825 068
19 7.25 kg + 4 050 g + 3 1 kg = g
2

13 5 056 + 3 024 × 100 = A 1 480 C 14 800
Round off the answer to the nearest ten
B 1 840 D 18 400
thousand.
A 307 000 20 Diagram 4 shows cube S and cube T.
B 307 456
C 310 000 10 cm
D 400 000
T
14 Which value is the smallest?
1 cm S
A 1 × 3 900
3 Diagram 4

B 3 × 4 500 Calculate the ratio of the volume of cube S to
5 the volume of cube T.
A 1 : 9
C 2 × 3 600 B 1 : 10
3 C 1 : 100
D 1 : 1 000
D 3 × 3 200
4

Mathematics • Year 5 80 © Nilam Publication Sdn. Bhd.

21 Table 1 shows the mass of two types of fruit. 25 There are 3 boxes filled with books. Each box

Fruit Mass contains the same number of books. The total

Papaya 1 000 g number of books in the 3 boxes is 150.
What is the unknown for the statement
Watermelon 7 kg
above?
Table 1 A Number of boxes of book
B Total number of books
State the ratio of the mass of papaya to the C Number of books in 3 boxes
D Number of books in each box
mass of watermelon.
A 1 : 4 26 A supermarket orders 3 845 boxes of apple.
B 1 : 7
C 5 : 1 Each box contains 60 apples.
D 5 : 2 How many apples are sent to the

22 Table 2 shows the beads owned by 20 pupils. supermarket?
A 224 800
Beads 40 60 70 80 B 230 700
C 232 400
Number of 1 6 8 5 D 236 200
pupils

Table 2 27 22% of a number of pupils at a driving school

Calculate the mean. fails the driving test.
A 48 What is the percentage of pupils that passes
B 68
C 78 the test? Give answer in fraction.
D 80
A 39
50

23 Diagram 5 shows three number cards. B 33
50

286 076 R 435 267 C 29
50
Diagram 5
D 11
The sum of the three number on the number 50

cards is 1 million. 28 Table 3 shows the volume of drinks sold by
What is the value of R at the second number Rania.

card? Drink Volume
A 287 657
B 287 567 Rose syrup 3.455 l
C 278 657
D 278 567 2.58 l more than rose syrup
drink
24 In a game of number cards, Izzah gets the Orange

number 25 825, 26 925 and 28 025. The Grape 4.2 l more than orange drink

numbers follow odd number pattern. Table 3
What is the possible number for the fourth
Calculate the total volume, in l, of drinks that
number card?
A 28 126 Rania sold.
B 28 135 A 6.035
C 29 115 B 7.655
D 29 125 C 10.235
D 19.725

© Nilam Publication Sdn. Bhd. 81 Mathematics • Year 5

29 Mr Lee’s salary is RM4 900 a month. He 33 Diagram 6 consists of two cuboids.

spends 3 of his salary and the balance is C
7

saved in the bank.

How much money does he save in the bank?

A RM2 800

B RM3 200 DE

C RM3 400

D RM3 800

30 A container has 14 000 beads of various 8 cm

colours. The number of red beads is 1 of the
2

total number of beads. Number of blue beads F
4 cm
is 3 of the remaining beads and the rest are
5
4 cm 5 cm
yellow beads.
Find the number of yellow beads in the Diagram 6

container. The length of CD is 3 of EF.
4
A 2 000
B 2 800 Find the volume, in cm3, of the whole
C 3 200
D 3 800 diagram. C 256
A 196 D 384
31 Balance of Zamani’s account at the end of B 224

year 2018 is RM1 000. At the beginning of 34 Diagram 7 shows the location of several pupils
in a class.
year 2019, he updates his account book. He
y
finds that his savings increases to RM1 020.
What is the percentage of interest he received 6 Kenny
Anis Riena
in that year?
A 3% 5
B 2.5%
C 2% 4
D 1% Firdaus

32 A tortoise is 1 century 79 years old while a koi 3
Gopal
fish is 87 years old.
What is the difference in age for both 2
Lisa
animals?
A 8 decades 2 years 1
B 8 decades 8 years Chong
C 9 decades 2 years x
D 9 decades 8 years
0 1 23456

Diagram 7

Which of the following pairs is at the same

row?
A Anis and Riena
B Lisa and Gopal
C Chong and Riena
D Firdaus and Gopal

Mathematics • Year 5 82 © Nilam Publication Sdn. Bhd.

35 5 Amanah class has 7 male pupils. The ratio 38 Table 4 shows the number of cars sold in three
years.
of the number of male pupils to the number of
Year Number of cars
female pupils is 1 : 4.
What is the number of female pupils in 5 2017 21 495

Amanah class? 2018 3 times the number in year
A 11 2017
B 21
C 28 2019 2 times the number in year
D 32 2017

36 Mean of ages of Rani, Miza and Shahrul is Table 4

18 years. Which of the following shows the number
What is their total age?
sentence for finding the total sales in year
A 36 years
B 48 years 2018 and 2019?
C 54 years A 21 495 + 3 × 21 495
D 63 years B 21 495 + 2 × 21 495
C (3 × 21 495) + (2 × 21 495)
37 Diagram 8 shows a composite shape of two D (3 × 21 495) – (2 × 21 495)
three-dimensional shapes built by Aizul.
39 The total number of three boxes filled with pens
6 cm 10 cm
8 cm is half a million. First box has 75 940 pens.
4 cm
Second box has 254 283 pens more than the
18 cm
first box.
Diagram 8 What is the number of pens in the third box?

Ariff has poured water into the composite A 93 837
B 169 777
shape. The volume of water is 1 of the C 330 223
4 D 424 060

volume of the composite shape. 40 Ashraf uses RM290 000 to buy a house and a
Calculate the volume, in cm3, of water in the
car. The price of a house is 4 times pricier than
composite shape.
A 124 the car. After 3 years, the car is sold with the
B 136
C 156 price of RM43 580.
D 164 What is the difference in price of the car when

bought and when sold?
A RM58 000
B RM43 580
C RM14 420
D RM8 670

© Nilam Publication Sdn. Bhd. 83 Mathematics • Year 5

PA P E R 2 [60 marks] Time: One hour

This paper consists of 15 questions. Answer all questions. Write your answer clearly in the space provided
in the paper. Show the important steps as this can help you to get marks.

1(a) 1 Diagram 1 shows a number card. [1 mark]
1
749 925

Diagram 1

(a) State the digit that represents the place value of ten thousands.

1(b) [1 mark]

1 (b) Round off the number on the card to the nearest thousand.

Total
1

2
2 Diagram 2 consists of several squares of equal size.

2(a) Diagram 2 [1 mark]
1
(a) Calculate the percentage of coloured parts of the whole diagram.

2(b) [1 mark]
1 (b) Convert the answer at question 2(a) to fraction.
© Nilam Publication Sdn. Bhd.
Total 84
2

2

Mathematics • Year 5

3 Diagram 3 shows the number of apples in a box bought by Mr Ali.

36 apples

Diagram 3 3(a)

1 of the apples is given to his friend.
4

(a) What is the number of apples his friend receives? [2 marks] 2

(b) Calculate the number of apples that Mr Ali still has. [1 mark] 3(b)
1

Total
3

3

4 Diagram 4 shows an advertisement.

Price of 8 similar bicycles
is RM12 000

Diagram 4 4(a)
1
(a) Write the number sentence for showing the calculation to find the price of 6 bicycles?

[1 mark]

(b) Based on the number sentence obtained at question 4(a), calculate the price of the 4(b)
3
6 bicycles. [3 marks]

© Nilam Publication Sdn. Bhd. 85 Total
4

4

Mathematics • Year 5

5(a) 5 Total age of Mr Haikal and his wife is 1 century 15 years. Mr Haikal’s age is 3 years older
than his wife.

2 (a) What is the age of Mr Haikal, in year? [2 marks]

5(b) [1 mark]
1 (b) Calculate the age of his wife, in year.

Total
5
3
6 Diagram 6 shows the mass of a watermelon.

6(a) Diagram 6 [1 mark]
1 [2 marks]
(a) State the mass, in kg, of the watermelon.

6(b) (b) The watermelon is then sliced into 8 parts with equal mass.
2 What is the mass, in g, for one slice of the watermelon?

Total 86 © Nilam Publication Sdn. Bhd.
6

3

Mathematics • Year 5

7 Diagram 7 shows the scores of a participant in a competition. 5 7(a)
2
5332158 [2 marks]

Diagram 7

(a) State the mode and median for the scores.

(b) Calculate the mean for the scores. 7(b)
2

[2 marks]

Total
7

4

8 A turtle has to achieve at least 1 decade 5 years to mature. [2 marks] 8(a)
The life span of a turtle is 0.6 century. 2
(a) State the life span of the turtle, in year.
[2 marks] 8(b)
(b) How long, in year, a turtle will live after it matures? 2

© Nilam Publication Sdn. Bhd. 87 Total
8

4

Mathematics • Year 5

9 Diagram 9 shows the volume of water in a bucket and 3 empty containers, E, F and G.

4.2 l

9(a) E F G
1
Diagram 9 [1 mark]

(a) State the volume of water, in ml, in the bucket.

9(b) (b) Water needs to be poured into container F is 1 of the volume of water in the bucket.
2 3

Calculate the volume, in ml, of water left. [2 marks]

9(c) (c) Based on question 9(b), the remaining water is poured equally into container E
2 and G.

Calculate the volume, in ml, of water in container G. [2 marks]

Total 88 © Nilam Publication Sdn. Bhd.
9

5

Mathematics • Year 5

10 Diagram 10 shows a composite shape of two cuboids, P and Q, and cube R.

20 cm P x cm

Q
R

18 cm

Diagram 10

Given the height of cuboid Q is 1 of the height of cuboid P. 10(a)
2

(a) What is the value of x? [1 mark] 1

10(b)

(b) Calculate the area of base, in cm2, of the composite shape. [2 marks] 2

10(c)

(c) Find the volume, in cm3, of the whole diagram. [2 marks] 2

© Nilam Publication Sdn. Bhd. 89 Total
10

5

Mathematics • Year 5

11 Diagram 11 is a bar chart that shows the number of packets of nasi lemak sold by Mak
Minah in 4 days.

Number of
packets

Friday Saturday Sunday Monday Day

Diagram 11

11(a) The total number of packets of nasi lemak sold in the four days is 1 760.

2 (a) Calculate mode of the sales of the number of packets of nasi lemak. [2 marks]

11(b) [1 mark]
1 (b) What is the mean?

11(c) (c) If the price of a packet of nasi lemak is RM2.50, what is the earning of Mak Minah in
2
the four days? [2 marks]

Total 90 © Nilam Publication Sdn. Bhd.
11

5

Mathematics • Year 5

12 A class has 40 pupils. The ratio of the number of male pupils to the number of female pupils 12(a)
is 1 : 4. 2

(a) What is the number of female pupils in the class? [2 marks]

(b) 20 new pupils have entered the class. The ratio of the number of male pupils to the 12(b)
3
number of female pupils becomes 1 : 5.

What is the total number of male pupils in the class now? [3 marks]
Calculate the number of male pupils that entered the class.

© Nilam Publication Sdn. Bhd. 91 Total
12

5

Mathematics • Year 5

13 Mr Mahesh deposits RM10 000 into his savings account in a bank. [1 mark]
13(a) The bank gives interest rate as much as 2% a year.

1 (a) Calculate the simple interest received by Mr Mahesh in the first year.

13(b)

(b) State the value of compound interest for the second year and state Mr Mahesh’s

2 savings at the end of second year. [2 marks]

13(c)

(c) If Mr Mahesh does not withdraw his savings for 5 years, what is the amount of his

2 savings at the end of the fifth year? [2 marks]

Total 92 © Nilam Publication Sdn. Bhd.
13

5

Mathematics • Year 5

14 Table 14 shows the percentage of reading material available at Amir’s school library. The
percentage of magazines is not shown.

Types of reading material Magazine Reference book Storybook

Percentage 40% 35%

Table 14 14(a)

Total number of reading materials at the library is 10 thousands books. [2 marks] 2

(a) What is the percentage of magazine available at the library?

(b) Based on the information at Table 14, build a pictograph to show the number of reading 14(b)
3
materials according to the types of reading material at the library.

Use the suitable key to represent all types of reading material. [3 marks]
Write the title of the pictograph.

© Nilam Publication Sdn. Bhd. 93 Total
14

5

Mathematics • Year 5

15 Table 15 shows the number of pens in four boxes, P, Q, R and S.

Box P Q R S

Number of pens 105 95 120 130

Table 15

2 of the total number of pens is blue. 2 of the remaining pens is red and the rest are
5 3
15(a)
black.

1 (a) What is the number of blue pens? [1 mark]

15(b) [2 marks]
2 (b) Calculate the number of red pens.

15(c) [2 marks]
2 (c) What is the number of black pens?
© Nilam Publication Sdn. Bhd.
Total 94
15

5

Mathematics • Year 5

TOPICAL DRILL PAPER 1

Key of Level Low Moderate High

Instruction: Answer all question. Each question is followed by four options, A, B, C and D. For each question, t
choose one answer only. o
p
UNIT 1 NUMBERS UP TO 1 000 000 i
C
1 ‘Seven hundred thirty thousand two hundred and 8 Diagram below shows 2 containers filled with a
marbles. l
eight’ in numerals is C 730 200
A 70 280 D 730 208 300 P
B 73 028 A
P
2 What digit is at the place value of ten thousands in E
R
the number 237 459? C Digit 7 PQ
A Digit 2 D Digit 9 1
B Digit 3 What is the suitable estimation for the number of

3 What is the digit value of digit 9 in the number marbles in the container P?

459 034? A 500 C 600
A 90
B 900 C 9 000 B 550 D 650
D 900 000
9 Diagram below shows a number pattern.

4 758 423 = 35 958, P, 39 958, 41 958
A 700 000 + 50 000 + 800 + 40 +3
B 700 000 + 50 000 + 8 000 + 400 + 20 + 3 Find the value of P.
C 700 000 + 50 000 + 8 000 + 400 + 40 + 3
D 700 000 + 50 000 + 8 000 + 400 + 20 A 36 598 C 36 957

B 36 859 D 37 958

5 Which of the following becomes 8 hundred 10 Diagram below shows a number pattern.

thousands when rounded off to the nearest hundred 2, 5, 8, 11, 14

thousand? Study the number pattern above.
A 734 580
B 757 436 What is the number at the sixth card?
C 857 438
D 860 235 A 16 C 18

B 17 D 20

6 Which arrangement of numbers is arranged 11 There are 3 pupils. They will get even number cards

according to the ascending order? with the same pattern that is multiple of 4. The
A 954 184, 929 678, 929 500, 954 480
B 929 500, 929 678, 954 184, 954 480 distribution of cards will be made four times.
C 954 184, 954 480, 929 678, 929 500 If the first number card is 40 128, what number will
D 929 678, 929 500, 954 184, 954 480
the third pupil not get? C 40 160
A 40 132 D 40 172
B 40 148

7 245 650 247 324 247 254 12 Diagram below shows 4 number cards.

What is the suitable symbol to be filled in the 87 594 185 794 783 594 469 527

boxes? Form one number from the digit value of digit 7

A > ; < based on the number cards above.
B > ; >
C < ; > A 77 703 C 770 707
D < ; <
B 707 707 D 777 077

© Nilam Publication Sdn. Bhd. 95 Mathematics • Year 5

UNIT 2 ADDITION

CLONE 13 459 675 + 56 789 = 20 In a room, there are red, green, yellow and white

UPSR A 516 464 balls with equal numbers. The number of red balls is

2016 B 520 454 21 765.
C 527 453 Find the total number of balls in the room.

D 530 464 A 77 030
B 79 237
14 What must be added to 32 459 so that the sum C 81 237
D 87 060
becomes 50 thousands?
A 15 457 21 Diagram below shows 4 number cards.
B 17 541
C 20 541 424 060 54 396 7 352 P
D 21 457

15 What is the sum of 18 675, 864 356 and 65 834? The sum of the four cards is 650 thousands.
A 398 764
B 854 865 What is the number at card P?
C 948 865
D 950 875 A 123 192

B 145 197

C 164 192

D 174 197

16 Diagram below shows 2 number cards. 22 Given P + 203 543 = 600 000 and P + Q = 640 327.
What is the value of Q?
287 609 456 879
Find the sum of digit value 8 at both cards. A 125 567
B 243 870
A 80 008 C 250 453
B 80 080 D 300 452
C 80 800
D 88 800 23 The residents at a city consist of 278 390 Malays,

17 53 486 + 134 659 + 6 785 = 67 356 Chinese, 21 090 Indians and the rest are
A 200 000 + 90 000 + 5 000 + 700 + 60
B 200 000 + 90 000 + 4 000 + 900 + 30 from other races.
C 100 000 + 90 000 + 4 000 + 900 + 30 If the total number of people from other races is the
D 100 000 + 80 000 + 5 000 + 700 + 60
same as the number of Indian people, calculate the
18 675 943 = 45 678 + + 389 275
total number of residents in the city.
What number must be written in the box? A 10 375
A 213 579 B 302 679
B 220 579 C 231 678
C 230 990 D 387 926
D 240 990
24 The number of residents in Town P is 145 636,
19 Q + 75 653 + 253 764 = 56 743 + 453 087 Town Q is 172 505 while Town R is 16 885 less than
What is the value of Q? Town P.

A 180 413 What is the total number of residents in all three
B 190 413
C 230 315 cities?
D 235 315 ‘16 A 335 026

B 446 892
C 480 662
D 488 662

Mathematics • Year 5 96 © Nilam Publication Sdn. Bhd.

UNIT 3 SUBTRACTION

25 679 675 – 96 789 = C 600 453 33 Diagram below shows 6 number cards. CLONE
A 516 464 D 630 886 109527
B 582 886 UPSR

2016

26 540 thousands – 35 ten thousands = Calculate the difference between the largest six-digit

A 98 764 C 190 000 number with the smallest six-digit number that are

B 160 000 D 230 000 formed from the number cards. t
o
A 547 891 C 856 781

27 200 000 – 2 000 – 20 = B 872 631 D 985 291
A 197 980
B 200 540 C 213 000 34 Table below shows the number of books and p
D 240 000
magazines in a library. i

28 Diagram below shows 2 number cards. Type Number C

267 809 56 879 Science 67 210 a

Find the difference of the digit value 6 at both cards. History 763 less than Science l
A 54 000 Mathematics X
B 54 080
C 64 800 Magazines 73 892 P
D 70 080 A
Total number of books in the library is 530 610. P
E
Find the number of Mathematics books. R

29 153 486 – 34 659 – 9 785 = A 200 061 C 231 381 1
A 200 000 + 9 000 + 400 + 40 + 6
B 200 000 + 9 000 + 300 + 20 B 212 581 D 323 061
C 100 000 + 9 000 + 40 + 2
D 9 000 + 10 000 + 40 + 2 35 Table below shows the number of residents at two
towns, B and C.

30 506 037 = 590 990 – X – 39 275. Town Male Female

What is the value of X? B 12 450 7 543

A 13 579 C 8 390 less 3 253 than the male
residents of town B
B 20 579

C 30 990 Calculate the difference between the number of
male residents and the number of female residents.
D 45 678

31 A factory produced 81 508 cars. 29 328 cars were A 4 100
B 5 230
sold. C 6 540
What is the number of cars that are not yet sold? D 7 540

A 52 180 36 Diagram below shows 3 number cards.
‘16 B 68 108
357 219 M 59 237
C 100 826 Number at the second card is 65 379 less than the
D 110 836
first card.
32 A stadium has seats that can fit 210 540 spectators. Find the difference between the value of M and the

In a sport tournament, 71 830 people watch the third card.
A 144 250
tournament. B 153 231
How many seats that are not filled by the spectators? C 232 603
D 297 421
A 138 710
B 120 453
C 125 612
D 215 710

© Nilam Publication Sdn. Bhd. 97 Mathematics • Year 5