1. 3 cm
4 cm
10 cm
6 cm 5 cm
2 cm
12 cm
14 cm
3 cm
10 cm
9 cm
4 cm
TOPIC 10 : SHAPE AND SPACE
Learning Area : Two-Dimensional Shapes
Learning Outcomes (i)
Pupils will be able to find the perimeter of a two-dimensional composite shape of two
or more quadrilaterals and triangles.
1
Diagram 1 shows a square and a
triangle.
Calculate the perimeter of the
diagram, in cm.
2
Diagram 2 shows a rectangle and
a square.
Calculate the perimeter of the
diagram, in cm.
3
Diagram 3 shows 2 triangles of
equal size.
What is the perimeter of the
diagram, in cm?
4
Diagram 4 is made up of 2
squares.
Find the perimeter of the diagram,
in cm.
Diagram 1 Diagram 2
Diagram 3
Diagram 4
2. 5 cm
4 cm
6cm
4 cm
8 cm
4 cm
2 cm
9 cm
7 cm
5 cm
10 cm
6 cm
4 cm
P R
S
Q
T
V
TOPIC 10 : SHAPE AND SPACE
Learning Area : Two-Dimensional Shapes
Learning Outcomes (ii)
Pupils will be able to find the area of two-dimensional composite shape of two or
more quadrilaterals and triangles.
1
Diagram 1 shows 2 squares.
Calculate the area, in cm2
, of
this diagram.
2
Find the area, in cm2
, of diagram 2.
3
What is the area, in cm2
, of
diagram 3 ?
4
Diagram 4 shows a square, QRVU
and a rectangle PRTS.
Find the area, in cm2
, of the shaded
region.
Diagram 1 Diagram 2
Diagram 3 Diagram 4
U
3. Learning Outcomes (iii)
Pupils will be able to solve problems in real contexts involving calculation of
perimeter and area of two-dimensional shapes.
1 Diagram 1 shows a rectangle
which is divided into three equal
parts. Calculate the perimeter of
the shaded part in cm?
2 Diagram 2 shows a square.
Find the perimeter of the square,
in m?
3 Diagram 3 shows an equilateral
triangle.
Calculate the perimeter.
4 Diagram 4 shows 3 squares of the
same size.
Calculate the perimeter of the
whole diagram, in m.
4 cm
18 cm
Dagram 1
Diagram 2
5 m
Diagram 3
9 cm
Diagram 4
4 m
4. 5 Diagram 5 is made up of a square
and a triangle.
Find the perimeter of the
diagram.
6 What is the perimeter of
diagram 6
7 Diagram 7 shows a triangle and a
rectangle.
Find the perimeter of this diagram,
in cm?
8 The perimeter of Diagram 8 is
42 cm. What is the area of the
whole diagram, in cm² ?
10 cm
9 cm
12 cm
Diagram 5
13 cm
4 cm
Diagram 6
9 cm
15 cm
5 cm
Diagram 7
12 cm
4 cm
Diagram 8
8 cm
5. TOPIC 10 : SHAPE AND SPACE
Learning Area : Three-Dimensional Shapes
Learning Outcomes (i)
Pupils will be able to find the surface area of a three-dimensional composite shape of
two or more cubes and cuboids.
1
Diagram 1 shows a cube.
Find the surface area of the diagram, in
cm2
?
2
Diagram 2 shows a cuboid.
Calculate the surface area of the
diagram, in cm2
?
3
Diagram 3 shows a cube and a cuboid.
Find the surface area of the diagram, in
cm2
?
4
Diagram 4 shows a cube and a cuboid.
Find the surface area of the diagram, in
cm2
?
Diagram 1 Diagram 2
Diagram 3
Diagram 4
5 cm
9 cm
5 cm
12 cm
7 cm
6 cm
2 cm
6. TOPIC 10 : SHAPE AND SPACE
Learning Area : Three-Dimensional Shapes
Learning Outcomes (ii)
Pupils will be able to find volume of three-dimensional composite shape of two or
more cubes and cuboids.
1
Diagram 1 shows a cube and cuboid.
What is the volume of the diagram, in
cm3
?
2
Diagram 2 shows 2 cuboids.
Find the volume of the diagram, in cm3
.
3
Diagram 3 is made up of cube X and Y.
The length of cube B is ¼ of the length
of cube A.
Find the volume of the diagram, in cm3
?
4
Diagram 4 shows 2 cuboids.
Calculate the total volume, in cm3
, of the
diagram.
Diagram 1 Diagram 2
Diagram 3
Diagram 4
2 cm5 cm
8 cm
7 cm
5 cm
3 cm
4 cm
2 cm
20 cm
10 cm
4 cm
8 cm
3 cm
B
A
7. TOPIC 10 : SHAPE AND SPACE
Learning Area : Three-Dimensional Shapes
Learning Outcomes (iii)
Pupils will be able to solve problems in real contexts involving calculation of surface
area and volume of three-dimensional shapes.
1 A paper box, has a length of
12 cm, a breadth of 8 cm and a
height of 5 cm. Find the volume of
the paper box, in cm³.
2 The height of a cube is 6 cm.
Calculate the volume of the cube,
in cm³.
2 Diagram 2 shows a cuboid with a
volume of 96 cm³ .
Find the value of R.
4 Diagram 4 shows a cuboid. What
is the volume of the cuboid, in cm³
5 Diagram 5, shows 2 cubes. Find
the volume of the diagram 5,
in cm³.
Diagram 4
10 cm
5 cm
3 cm
Diagram 2
3 cm
R
8 cm
Diagram 5
3 cm
6 cm
8. Paper 2
1 Diagram 1 shows 2 squares. Calculate the area, in m², of this diagram?
[ 2 mark ]
2 Diagram 2 shows 2 rectangles of equal size.
Find the perimeter of the diagram, in cm ? [ 2 mark ]
3 Diagram 3 below show a triangle and a rectangle.
Find the perimeter of this diagram, in cm. [ 2 mark ]
5 cm
10 cm
12 cm
Diagram 2
6 cm
Diagram 1
4 m
3 m
22 cm
9. 4 Diagram 4 is made up of squares of equal size.
If the perimeter of diagram is 42 cm, calculate the length of 1 square’s
side? [ 2 mark ]
5 The side of square garden is 9 cm. Find its area? [ 2 mark ]
6 Johari draws a rectangle. The length of the rectangle is 10 cm and its breadth
is 6 cm.
What is its area?
7 The perimeter of a square is 20 cm. Calculate its area, in cm²
8 Diagram 8 shows 2 cuboids.
Find the volume of the diagram, in cm3
.
9 cm
4 cm
5 cm
3 cm
7 cm
10. 9 Diagram 9 shows 2 cuboids.
Calculate the total volume, in cm3, of the diagram
10 Diagram 10 shows a cube and a cuboid. Find the volume in cm³, of the
diagram.
6 cm
8 cm
3 cm
4 cm
10 cm
5 cm
7 cm
3 cm
Diagram 10
11. latihan
1 The diagram shows a combination
of rectangle and a square.
Which of the following shows that
the correct calculation for the
perimeter.
A 4cm+ 5cm
B 4cm x 5cm
C 4cm + 4cm + 5cm + 4cm
D ( 4cm x 4) + 5cm + 5cm
2 The diagram below shows
combination of two squares.
Calculate the perimeter of the
above diagram in cm.
A 9
B 21
C 30
D 34
3
Calculate the area of the whole
diagram above in cm 2
.
A 21
B 29
C 56
D 59
4 The diagram below consists of
squares of the same size.
Calculate the area of the shaded
part in cm 2
.
A 20
B 40
C 60
D 80
4 cm
3 cm
7 cm
10cm
5cm
3 cm
8 cm
12. 5
What is its perimeter in cm?
A 14
B 18
C 19
D 24
6
Calculate the perimeter of the
above diagram.
A 53
B 45
C 42
D 40
7 The diagram below shows the
composite of two similar triangles.
Calculate the perimeter of the
whole diagram in cm
A 20
B 25
C 39
D 40
8 The diagram below consists of two
squares.
Fine the area of the composite
shape in cm 2
.
A 40
B 45
C 58
D 64
9 Suhaimi made a greeting card for
her teacher on Teacher’s Day in
the diagram below.
.
Fine the area of the greeting card
in cm 2
.
A 28
B 48
C 96
D 128
6 cm
5 cm
4cm
12 cm
5 cm
5 cm
5 cm
5 cm
8 cm
3 cm 9 cm
7 cm
6 cm
3 cm
6 cm
8 cm
Happy teacher’s day
13. 10 The diagram below shows a
composite of an isosceles triangle
and a right angle triangle.
Calculate the perimeter of the
above diagram in cm.
A 29.2
B 30.6
C 32
D 39.2
11 The breath of a rectangle and the
side of an equilateral triangle is
7 cm. If the total perimeter of both
shapes is 65 cm, fine the length of
the rectangle in cm
A 10
B 15
C 25
D 30
12 The perimeter of the diagram
below is 57 m.
The length of PQ is 3 times the
length of PT. Fine the length of PT
A 7cm
B 14cm
C 21cm
D 28cm
13 The diagram below shows a
rectangle PQRS and a square
TUVW.
The perimeter of the whole
diagram, in cm, is
A 26
B 33
C 38
D 40
14 The diagram below consists of a
rectangle and a square.
Calculate the perimeter of the
whole diagram in cm.
A 25
B 34
C 41
D 70
8.6 cm
7 cm
6 cm
5 cm
7 cm
QP
4 cm
T S
R
T w
VU
T
10 cm
P
SR
Q
4 cm
3 cm
7 cm
14. 15 The diagram below shows the
composite of rectangle and a
triangle.
Fine the perimeter of the above
diagram.
A 23
B 32
C 59
D 63
16 The diagram below shows the
composite of a rectangle and an
equilateral triangle.
Fine the perimeter of the whole
diagram in cm.
A 39
B 49
C 60
D 70
17 In the diagram below, X is a
square.
Calculate the perimeter of the
whole diagram in cm.
A 12
B 20
C 24
D 28
18 The diagram below shows the
composite of an equilateral triangle
and a rectangle.
If the perimeter of the whole
diagram is 52cm, find the area of
the rectangle.
A 38cm
B 44cm
C 104cm
D 112cm
19 The diagram below shows a field.
Calculate the perimeter of the field
in m.
A 11
B 21
C 22
D 24
5 cm
11 cm
3 cm
4 cm
5 cm
x 5 cm7 cm
14 cm
1 cm
6 cm
4 cm
3 cm6 cm
10 cm
15. 20 Find the perimeter of the diagram
above.
A 40cm
B 45cm
C 50cm
D 55cm
21 The diagram below shows the
composite of the rectangle and a
square.
If the perimeter of the whole
diagram is 32cm, calculate the
area of the whole diagram in cm
A 16
B 48
C 96
D 192
22 The diagram below shows an
equilateral triangle PQR and
rectangle STUV.
If the perimeter of STUV is 22 cm,
what is the perimeter of the
shaded area in cm?
A 45
B 49
C 55
D 57
23 The diagram below shows a
square and a triangle.
What is the perimeter of the
composite shape?
A 44cm
B 49cm
C 54cm
D 56cm
15 cm
5 cm
6 cm
Q R
P
15 cm
S V
T U
5 cm
10 cm
8 cm
6 cm
16. 24
Calculate the area of the shaded of
the part in cm 2
.
A 150
B 180
C 200
D 240
25 Ah Chong wants to fence up his
garden which is in the shape of the
diagram below.
Find the length of wire needed to
fence his garden.
A 46cm
B 42cm
C 36cm
D 32cm
26
How many cubes are there in the
diagram above?
A 32
B 87
C 100
D 112
27
Calculate the volume of the
composite shape above in cm.
A 22
B 120
C 220
D 240
28 The diagram below consists of
cuboids A and cube B.
Calculate the volume of the
composite shape in cm.
A 384
B 484
C 540
D 240
10 cm
10 cm
20 cm
15 cm
10 cm
15 cm
9 cm
8 cm
4 cm
5 cm
7 cm 4 cm
9 cm
10 cm
B
A
15 cm
17. 29 Which of the following is cuboids?
A B
C D
30 The diagram below shows a
composite of two similar squares.
If the volume of the diagram is
250 cm 3
,find the length of each
side, in cm.
A 3
B 4
C 5
D 6
31 Diagram 13 shows a blackboard.
The perimeter of the black board is
260 cm. Find the area, in m 2
, of
the blackboard.
A 40
B 50
C 60
D 70
32 The area of square is 62 m 2
.What
is the perimeter of the square?
A 8cm
B 16 cm
C 24cm
D 32cm
33 Which solid has 2 equal adages?
A a cube
B a cuboids
C a cone
D a cylinder
34 Lili fills up a container measuring
60cm by 5 cm by 25 cm with
orange Juice. Find the volume,
in m 3
,of orange juice if Lili fills up
1 000 similar containers.
A 7.5
B 15
C 75
D 150
35 The diagram shows two equal
squares with sides of 5 cm.
Find the area, in m 2
, of the whole
diagram.
A 30
B 35
C 50
D 55
18. 36 The diagram shows a square and
rectangle.
What is the difference in perimeter
between the two shapes?
A 22 cm
B 24 cm
C 26 cm
D 28 cm
37 An aquarium is 60 cm long, 30 cm
Wide and 20 cm high. What is its
volume?
A 110 cm 3
B 1 800 cm3
C 30 000 cm 3
s:24
D 36 000 cm 3
38 The square and the rectangle
shown below have the same area.
A 20
B 45
C 54
D 75
39 The diagram is made up of 2
identical squares. The total area of
the diagram is 162cm 2
Find its perimeter in cm.
A 81
B 63
C 54
D 26
40 Find the difference in area, in cm 2
,
between M and N.
A 7
B 8
C 9
D 13
14cm 4cm
10cm
15cm
?
3 cm
1 cm
M
N
1 cm
19. Answer
Learning Area : Two-Dimensional Shapes
Learning Outcomes (i)
1. 29
2. 38
3.
4. 39
Learning Area : Two-Dimensional Shapes
Learning Outcomes (ii)
1. 52 cm2
2. 56cm2
3. 59cm2
4. 44cm2
Learning Area : Two-Dimensional Shapes
Learning Outcomes (iii)
1. 20 cm
2. 20 cm
3. 27 cm
4. 32 cm
5. 41 cm
6. 42 cm
7. 49
8. 64 cm
Learning Area : Three-Dimensional Shapes
Learning Outcomes (i)
1. 25 cm2
2. 45 cm2
3. 228 cm2
4. 84 cm2
Learning Area : Three-Dimensional Shapes
Learning Outcomes (ii)
1. 205 cm3
2. 161 cm3
3. 8125 cm3
4. 656 cm3
20. Learning Area : Three-Dimensional Shapes
Learning Outcomes (iii)
1. 480 cm3
2. 210 cm3
3. 3 cm
4. 150 cm3
5. 243 cm3
Paper 2
1. 25 cm2
2. 54 cm
3. 64 cm
4. 3 cm
5. 81 cm2
6. 60 cm2
7. 400 cm2
8. 285 cm3
9. 576 cm3
10. 230 cm3
