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Topic 9 - Shape and Space

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Page 1: Topic 9 - Shape and Space
Page 2: Topic 9 - Shape and Space

SHAPE AND SPACE

1. The diagram below shows a

combination of two squares. 9 cm 4 cm Calculate the perimeter of the above diagram in cm

8 cm 2. 5 cm The diaram above shows a combination of a rectangle and square. Find the perimeter of the whole diagram above.

3. The diagram above show s 2 rectangles. find the perimeter of the diagram in cm. 6 cm 9 cm 5 cm 7 cm

4. Diagram 4 shows 2 triangles of equal size. What is the perimeter of the diagram? Diagram 4 6 cm 12 cm

5. Diagram 5 shows a sguare and triangle. calculate the perimeter of whole diagram in cm. 7 cm 6 cm 13 cm 15 cm

6. The diagram shows a shape drawn by Mukhlis. it consists of 3 triangles and a rectangle. What is the perimeter of the whole shape 8 cm 3 cm 15 cm

Page 3: Topic 9 - Shape and Space

7. The diagram below shows an equilateral triangle ABC and a rectangle EFGH. A 20 cm E F C H G B 8 cm If the perimeter of EFGH is 28 cm, what is the perimeter of the shaded are in cm?

8. 9 m 9 m 16 m 23 m

Calculate the perimeter of the shaded area

9. 15 cm 5 cm 6 cm 3 cm

The diagram above consists of a rectangle and a triangle. calculate the perimeter of the shaded part.

10. The diagram below shows the composite of a rectangle and a square P If the area of a square is 16 cm². find the perimeter of the whole diagram in cm.

Page 4: Topic 9 - Shape and Space

11. 6 cm 10 cm Diagram 11

Diagram 11 shows 2 squares. calculate the area of this diagram

8 cm 12. 5 cm 4 cm The diagram above consists of a rectangle and a square. Find the area of the whole diagram.

13. A B R 3 cm T S 3 cm D C The diagram above shows a square BRST and a rectangle ABCD. if the length of DC is 4 times as long as the length of RS, what is the area, in cm² of rectangle ABCD?

14. The diagram below shows a bedroom with an attached bathroom. If the bedroom is covered with tile, calculate the area of the bedroom that is covered with tile 9m 5 m

2m 2m

15. The diagram below shows a combination of a rectangle and a square. The total area is 41 cm², find the value of R 8 cm

5 cm R

16. 6 m 10 m 12 m The diagram shows a combination of two rectangle. calculate the area of the whole diagram.

Page 5: Topic 9 - Shape and Space

17. The diagram shows square A and square B. The area of square A is ¼ of the of square B. Find the length

18. A B P Q 5 cm 9 cm S R C 12 cm D The diagram above shows a square PQRS and a rectangle ABCD. Find the area in cm² of shaded region.

19. The Diagram show a floor. How many floor tiles are needed to cover the floor if the area of each floor tile is 20cm²? 10 cm 50 cm 30 cm

20. The diagram below shows a combination of a rectangle and a square. k cm 3 cm 5 cm 4 cm

The area of the whole diagram is 112 cm². What is the value of x ?

A

A

B

B

Page 6: Topic 9 - Shape and Space

21. The diagram below shows 2 cubes. what is the volume of whole diagram in cm³ 6 cm

22. 5 cm

4 cm 9 cm 6 cm The diagram above shows a composite solid consisting of two cuboids. Find the volume of the whole diagram.

23. 8 cm 10 cm A 4 cm B 12 cm The diagram below shows a combination of cuboid A and cube B. What is the total volume of the composite solid.

24. 10 cm 6 cm 3 cm Find the volume of the whole diagram.

Page 7: Topic 9 - Shape and Space

25. 8 cm 3cm

9 cm The diagram shows a cuboid and cube. Find the volume of the whole diagram.

26. 3 cm 8 cm 4 cm 3 cm y cm

The volume of the whole diagram is 144 cm³. Find the value of y.

27. 2cm 6 m 8 m

B

C

The diagram above shows a cuboid B and cuboid C. If the volume of cuboid C is 2 times cuboid B, what is the volume in m³ of cuboid C?

28. 4 m 6 m 1 m

Calculate the volume of the whole diagram shown above.

Page 8: Topic 9 - Shape and Space

29 4 m 6 m B 3 m 12 m The diagram above shows a solid cuboid A and coboid B. Find the volume of the whole diagram.

30. The diagram below shows two cubes. 4 cm If the total volume of the cubes is 280 m³., what is the volume of the bigger cube?

31. Diagram 1 shows an equilateral triangle with a

perimeter of 27 cm.

DIAGRAM 1

What is the length of each

side?

32. Diagram 18 shows a triangle.

12 cm

4 cm

DIAGRAM 18

Calculate the area, in cm2, of the

shaded region.

A

3 cm

Page 9: Topic 9 - Shape and Space

SHAPE AND SPACE PAPER 1 - Answer all the questions. Each questions is followed by four answer choices. Only one of the answers is correct. Choose the correct answer?

1 What is perimeter?

A The total length of a shape B The total width of a shape C The total circumference of a shape D The product of length and width of a shape 2 Diagram 1 shows a square. 2.5 cm

DIAGRAM 1 Calculate the perimeter of the square. A 2.5 cm B 7.5 cm C 5.0 cm D 10.0 cm 3 If the perimeter of a square is 20 cm, find the length of each side. A 4 cm B 6 cm C 5 cm D 7 cm

Page 10: Topic 9 - Shape and Space

4 Diagram 2 shows a rectangle. 2 m

1.5 m DIAGRAM 2 Calculate the perimeter of the rectangle. A 3 m B 7 m C 4 m D 8 m 5 A rectangle measures 4 cm in length and 3 cm in width. What is its perimeter? A 6 cm B 12 cm C 8 cm D 14 cm 6 Diagram 3 shows a rectangle, PQRS. P Q R S

DIAGRAM 3

If the perimeter of a square with sides 6 cm, is the same as the perimeter of PQRS, find the length of PQ .

A 18 cm B 8 cm C 9 cm D 6 cm

Page 11: Topic 9 - Shape and Space

7 Diagram 4 shows an equilateral triangle.

DIAGRAM 4 Calculate the perimeter of the triangle. A 3 cm B 9 cm C 6 cm D 6 cm 8 Diagram 5 shows a scalene triangle.

2.5 m

2.1m 1.3m

DIAGRAM 5 Calculate the perimeter of the triangle. A 2.5 m B 6.2 m C 5.9 m D 7.4 m

Page 12: Topic 9 - Shape and Space

9 Diagram 6 shows a right-angled triangle, ABC. B 5 cm A C 12 cm

DIAGRAM 6 If its perimeter is 30 cm, calculate the length of AB. A 13 cm B 15 cm C 14 cm D 16 cm 10 What is the length of each side of an equilateral triangle which has a perimeter of 21 cm ? A 6 cm B 8 cm C 7 cm D 9 cm 11 Diagram 7 shows an isosceles triangle. 7 cm

12 cm

DIAGRAM 7

Calculate the perimeter of the triangle. A 7 cm B 19 cm C 12 cm D 26 cm

Page 13: Topic 9 - Shape and Space

12 Diagram 8 shows a square and an equilateral triangle. 6 cm

DIAGRAM 8

Calculate the perimeter of the whole diagram.

A 18 cm B 30 cm C 24 cm D 36 cm

13 Diagram 9 shows a rectangle and an equilateral triangle.

6 cm

4 4 cm DIAGRAM 9 Calculate the total perimeter of both shapes. A 32 cm B 16 cm C 20 cm D 12 cm

Page 14: Topic 9 - Shape and Space

14 Diagram 10 shows a rectangle and equilateral triangle. 36 cm 24 cm DIAGRAM 10

Find the perimeter of the whole diagram. A 54 cm B 114 cm C 78 cm D 138 cm

Page 15: Topic 9 - Shape and Space

15 Diagram 11 shows a square that is made up of four small squares.

DIAGRAM 11

If the perimeter of each small square is 12 cm, find the perimeter of the whole diagram.

A 72 cm B 32 cm C 36 cm D 24 cm 16 3 cm 5 cm

DIAGRAM 12

What is the perimeter of Diagram 12? A 16 cm B 30 cm C 17 cm D 33 cm

Page 16: Topic 9 - Shape and Space

17 cm

17 Diagram 13 shows Encik Rusli’s family photo which hangs on the sitting room wall.

14 cm 13 cm

20 cm

DIAGRAM 13

Calculate the perimeter of the photo frame.

A 35 cm B 64 cm C 54 cm D 66 cm 18 Which of the following has an area?

A B

C D

Page 17: Topic 9 - Shape and Space

19 1 uni 1 unit

DIAGRAM 14 Find the area of the triangle shown in Diagram 14. A 63 unit2 B 31.5 unit2 C 36 unit2 D 28 unit2 20 Diagram 15 shows a grid paper with two shaded regions.

1 cm DIAGRAM 15 Calculate the total area of the shaded region. A 8 cm2 B 24 cm2 C 16 cm2 D 32 cm2

Page 18: Topic 9 - Shape and Space

1

21

1unit

DIAGRAM 16

The area of the triangle shown in

Diagram 16 is

A 1 unit2

B 3 unit2

C 2 unit2

D 4 unit2

22 The formula for calculating the area of a triangle is A base × height

B 3

1 × base × height

C 2

1 × base × height

D 4

1 × base × height

23 Diagram 17 shows a rectangle. 20 m

6m DIAGRAM 17 What is the area of the shaded region? A 30 m2 B 120 m2 C 60 m2 D 180 m2

Page 19: Topic 9 - Shape and Space

24 The volume of a solid is

A the total surface of the object

B the total space occupied by the

object

C the circumference of the object

D the space occupied by the

surface of the object 25 The volume of a cube with sides of 1 unit is A 1 unit B 1 unit3 C 1 unit2 D 3 unit3 26 The volume of a cube can be found by using the formula A length × breadth × height B length × height C length × breadth D area of triangle × height

27 The unit of cm3 is read as

A cubic centimetre B square centimetre C three times of cubic centimetre D unit centimetre

28 A cubic box measuring 20 cm on each side is filled with smaller cuboids measuring 1 cm in width, 2 cm in height and 4 cm in length. Calculate the number of cuboids that can fit into the box. A 500 B 1 500 C 1 000 D 2 000

Page 20: Topic 9 - Shape and Space

29 Diagram 18 is a combination of a cube and a cuboid.

3 m

DIAGRAM 18

If the total volume is 90 m3, what is the area of the shaded region, in m2? A 21 C 9 B 15 D 7 30 If the total volume of a 2-m cube and a cuboid is 80 m3, what is the volume of the cuboid?

A 27 m3 B 52 m3

B 30 m3 D 72 m3

Page 21: Topic 9 - Shape and Space

SHAPE AND SPACE

1. The diagram below shows a

combination of two squares. 9 cm 4 cm Calculate the perimeter of the above diagram in cm

8 cm 2. 5 cm The diaram above shows a combination of a rectangle and square. Find the perimeter of the whole diagram above.

3. The diagram above show s 2 rectangles. find the perimeter of the diagram in cm. 6 cm 9 cm 5 cm 7 cm

4. Diagram 4 shows 2 triangles of equal size. What is the perimeter of the diagram? Diagram 4 6 cm 12 cm

5. Diagram 5 shows a sguare and triangle. calculate the perimeter of whole diagram in cm. 7 cm 6 cm 13 cm 15 cm

6. The diagram shows a shape drawn by Mukhlis. it consists of 3 triangles and a rectangle. What is the perimeter of the whole shape 8 cm 3 cm 15 cm

Page 22: Topic 9 - Shape and Space

7. The diagram below shows an equilateral triangle ABC and a rectangle EFGH. A 20 cm E F C H G B 8 cm If the perimeter of EFGH is 28 cm, what is the perimeter of the shaded are in cm?

8. 9 m 9 m 16 m 23 m

Calculate the perimeter of the shaded area

9. 15 cm 5 cm 6 cm 3 cm

The diagram above consists of a rectangle and a triangle. calculate the perimeter of the shaded part.

10. The diagram below shows the composite of a rectangle and a square P If the area of a square is 16 cm². find the perimeter of the whole diagram in cm.

Page 23: Topic 9 - Shape and Space

11. 6 cm 10 cm Diagram 11

Diagram 11 shows 2 squares. calculate the area of this diagram

8 cm 12. 5 cm 4 cm The diagram above consists of a rectangle and a square. Find the area of the whole diagram.

13. A B R 3 cm T S 3 cm D C The diagram above shows a square BRST and a rectangle ABCD. if the length of DC is 4 times as long as the length of RS, what is the area, in cm² of rectangle ABCD?

14. The diagram below shows a bedroom with an attached bathroom. If the bedroom is covered with tile, calculate the area of the bedroom that is covered with tile 9m 5 m

2m 2m

15. The diagram below shows a combination of a rectangle and a square. The total area is 41 cm², find the value of R 8 cm

5 cm R

16. 6 m 10 m 12 m The diagram shows a combination of two rectangle. calculate the area of the whole diagram.

Page 24: Topic 9 - Shape and Space

17. The diagram shows square A and square B. The area of square A is ¼ of the of square B. Find the length

18. A B P Q 5 cm 9 cm S R C 12 cm D The diagram above shows a square PQRS and a rectangle ABCD. Find the area in cm² of shaded region.

19. The Diagram show a floor. How many floor tiles are needed to cover the floor if the area of each floor tile is 20cm²? 10 cm 50 cm 30 cm

20. The diagram below shows a combination of a rectangle and a square. k cm 3 cm 5 cm 4 cm

The area of the whole diagram is 112 cm². What is the value of x ?

B

A

A

B

B

Page 25: Topic 9 - Shape and Space

21. The diagram below shows 2 cubes. what is the volume of whole diagram in cm³ 6 cm

22. 5 cm

4 cm 9 cm 6 cm The diagram above shows a composite solid consisting of two cuboids. Find the volume of the whole diagram.

23. 8 cm 10 cm A 4 cm B 12 cm The diagram below shows a combination of cuboid A and cube B. What is the total volume of the composite solid.

24. 10 cm 6 cm 3 cm Find the volume of the whole diagram.

Page 26: Topic 9 - Shape and Space

25. 8 cm 3cm

9 cm The diagram shows a cuboid and cube. Find the volume of the whole diagram.

26. 3 cm 8 cm 4 cm 3 cm y cm

The volume of the whole diagram is 144 cm³. Find the value of y.

27. 2cm 6 m 8 m

B

C

The diagram above shows a cuboid B and cuboid C. If the volume of cuboid C is 2 times cuboid B, what is the volume in m³ of cuboid C?

28. 4 m 6 m 1 m

Calculate the volume of the whole diagram shown above.

Page 27: Topic 9 - Shape and Space

29 4 m 6 m B 3 m 12 m The diagram above shows a solid cuboid A and coboid B. Find the volume of the whole diagram.

30. The diagram below shows two cubes. 4 cm If the total volume of the cubes is 280 m³., what is the volume of the bigger cube?

33. Diagram 1 shows an equilateral triangle with a

perimeter of 27 cm.

DIAGRAM 1

What is the length of each

side?

34. Diagram 18 shows a triangle.

12 cm

4 cm

DIAGRAM 18

Calculate the area, in cm2, of the

shaded region.

A

3 cm