Y6 topic 10 shape & space

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

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


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

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

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


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



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 cm 5 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



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

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

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

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

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.


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 cm2.

A 20

B 40

C 60

D 80

4 cm

3 cm

7 cm

10cm

5cm

3 cm

8 cm

5

What is its perimeter in cm?

A 14

B 18

C 19

D 24

6


above diagram.

A 53

B 45

C 42

D 40

7 The diagram below shows the

composite of two similar triangles.


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 cm2.

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

10 The diagram below shows a

composite of an isosceles triangle

and a right angle triangle.


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


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.


whole diagram in cm.

A 25

B 34

C 41

D 70

8.6 cm

7 cm

6 cm 5 cm

7 cm

Q P

4 cm

T S

R

T w

V U

T

10 cm

P

S R

Q

4 cm

3 cm

7 cm


composite of rectangle and a

triangle.

Fine the perimeter of the above

diagram.

A 23

B 32

C 59

D 63


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.


whole diagram in cm.

A 12

B 20

C 24

D 28


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 cm 7 cm

14 cm

1 cm

6 cm

4 cm

3 cm 6 cm

10 cm

20 Find the perimeter of the diagram

above.

A 40cm

B 45cm

C 50cm

D 55cm


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


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

24

Calculate the area of the shaded of

the part in cm2.

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

29 Which of the following is cuboids?

A B

C D


composite of two similar squares.

If the volume of the diagram is

250 cm3,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 m2

, 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 m2

, of the whole

diagram.

A 30

B 35

C 50

D 55

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 cm3

B 1 800 cm 3

C 30 000 cm3 s:24

D 36 000 cm3

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 162cm2

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

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

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

Paper 1

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

D

D

D

D

D

A

A

B

C

C

B

A

C

B

A

C

C

D

D

B

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

41

B

C

A

C

B

A

C

D

A

C

A

D

D

A

C

D

D

D

C

C

Y6 topic 10 shape & space

Education

Transcript of Y6 topic 10 shape & space