Free Printable IGCSE Math Mensuration

1.

Find the volume of the solid shown in the figure?

a)

7230

b)

6621

c)

1130

d)

907

2.

If the base of the triangle is doubled and height is halved, its area will be _____

a)

Doubled

b)

Halved

c)

one-fourth

d)

Same

3.

Two cubes with 9 cm edge are joined end to end. Find the length of the newly formed solid.

a)

18 cm

b)

9 cm

c)

27 cm

d)

None of the above

4.

1 km² is equivalent to ______ m²

a)

10⁴ m²

b)

10⁶ m²

c)

10⁵ m²

d)

10³ m²

5.

a)

12 units

b)

10 units

c)

14 units

d)

None of the above

6.

Calculate the surface area.

a)

56.5 in²

b)

91.5 in²

c)

169.56 in²

d)

28.3 in²

7.

Calculate the surface area.

a)

904.78 mm²

b)

452.39 mm²

c)

3,216.99 mm²

d)

3,392.92 mm²

8.

Calculate the surface area of the pyramid.

a)

228 m²

b)

144 m²

c)

300 m²

d)

156 m²

9.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in²

b)

56.5 in²

c)

188.5 in²

d)

245.0 in²

10.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

11.

Find the volume.

a)

13680 m³

b)

684 m³

c)

1140 m³

d)

228 m³

12.

Find the volume of the 3Dimensional shape

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

13.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

14.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

15.

The volume of a cuboid whose dimensions are 12cm X8cm X6cm is

a)

576cu.cm

b)

276cu.cm

c)

176cu.cm

d)

256cu.cm

16.

Calculate the volume.

a)

90 cm³

b)

150 cm³

c)

180 cm³

17.

The total surface area of a cuboid with dimension 10cm X 6cm X 5cm is

a)

280sq.cm

b)

300sq.cm

c)

360sq.cm

d)

600sq.cm

18.

The capacity of a water tank of dimensions 10m X 5m X 1.5 m is

a)

75 lits

b)

750 lits

c)

7500 lits

d)

75000 lits

19.

Volume of a cube is 125 cu cm. Find its total surface area.

a)

150 sq cm

b)

25 sq cm

c)

150 sq cm

d)

100 sq cm

20.

Find the volume of a right circular cylinder if r = 7 cm and h = 14 cm.

a)

1112 cu cm

b)

512 cu cm

c)

1078 cu cm

d)

2156 cu cm

21.

Which of the following is the correct Pythagoras' Theorem?

a)

$c^2=a^2+b^2$

b)

$\ c^2=a^2-b^2$

c)

$a^2=b^2+c^2$

22.

The length of the edge of a cube is 60 cm. Find the volume of the cube.

a)

$180\ cm^3$

b)

$21600\ cm^2$

c)

$216000\ cm^3$

d)

$720\ cm^3$

23.

Choose the correct answer to find the area of a circle

a)

$\pi r^2$

b)

$2\pi r^2$

c)

$2\pi r$

24.

A cylinder-shaped glass has a base with radius of 5cm and the height is 15cm. Find the volume of the glass.

a)

$375\pi\ cm^2$

b)

$375\pi\ cm^3$

25.

What do you call a prism that has pentagon as its base?

a)

5 sides prism

b)

pentagonal prism

c)

triangular prism

26.

Calculate the volume of the cuboid that has

length = 10cm

breadth = 6cm

height = 4cm

a)

60

b)

240

c)

24

27.

The volume of a cuboid is...

a)

$l\ \times b$

b)

$b\times h$

c)

$l\times b\times h$

28.

if a cube has a side with length 6cm. Calculate the total surface area.

a)

$216cm^2$

b)

$216cm^3$

29.

Formula for the total surface area of a cube is...

a)

$x^2$

b)

$6x^2$

30.

15% of _______ is 36

a)

240

b)

105

c)

209

d)

341

31.

What is 10% of $250

a)

$2.50

b)

$25

c)

$250

d)

$2500

32.

What is 60% as a decimal?

a)

0.6

b)

0.06

c)

6.0

33.

Calculate 20% of 260.

a)

26

b)

13

c)

54

d)

52

34.

What is 1% as a fraction?

a)

1/10

b)

1/100

c)

1/1000

d)

1/50

35.

There are 20 questions in a test and you get 75% correct. How many questions do you get right ?

a)

15

b)

12

c)

10

d)

5

36.

Calculate 10% of $40 .

a)

$40

b)

$4

c)

$400

d)

$0.4

37.

What is the perimeter of an equilateral triangles whose side is 25 cm?

a)

50 cm

b)

100 cm

c)

75 cm

d)

125 cm

38.

The side of a square whose perimeter is 64 cm is __________

a)

32 cm

b)

8 cm

c)

16 cm

d)

12 cm

39.

The perimeter of a regular pentagon is 100 cm. The length of each of its sides is _____________

a)

20 cm

b)

10 cm

c)

25 cm

d)

15 cm

40.

a)

24 cm

b)

24 cm²

c)

25 cm

d)

25 cm²

41.

Fill in the blanks:
1 m² = ___________ cm²

a)

100

b)

10000

c)

1000

d)

500

42.

The sum of lengths of all sides of plane figure is called its____

a)

Area

b)

Perimeter

c)

Boundary

d)

None of the above

43.

What is the formula for the area of a rectangle?

a)

Length × Width

b)

Length + Width

c)

Length ÷ Width

d)

Length - Width

44.

The perimeter of the base of a cone is 88 cm and its slant height is 10 cm. Then find its curved surface area

a)

$110\ cm^2$

b)

$220\ cm^2$

c)

$880\ cm^2$

d)

$440\ cm^2$

45.

The number of balls of radius 2 cm that can be made from a sphere of radius 4 cm

a)

2

b)

4

c)

8

d)

64

46.

$The\ volume\ of\ a\ sphere\ is\ 36\pi\ cm^3.\ find\ its\ surface\ area$

a)

$36\pi\ cm^2$

b)

$6\pi\ cm^2$

c)

$15\pi\ cm^2$

d)

$12\pi\ cm^2$

47.

A solid metallic sphere of radius 3 cm is melted and recasted into cones of radii 3 cm and heights 3 cm. Find number of cones

a)

16

b)

4

c)

3

d)

12

48.

Find the total surface area of the given solid

a)

$550\ cm^2$

b)

$572\ cm^2$

c)

$726\ cm^2$

d)

$36\ \pi\ cm^2$

49.

A solid cylinder of iron whose diameter is 15 cm and height is 10 cm is melted and recasted into a sphere, then the radius of the sphere is

a)

15 cm

b)

10 cm

c)

7.5 cm

d)

5 cm

50.

The volumes of two spheres are in the ratio 64 : 27 , Then the ratio of their surface area is

a)

16 : 9

b)

9 : 16

c)

4 : 3

d)

3 : 4

51.

The radius and height of a right circular cone are 7 cm and 24 cm. Then its curved surface area is

a)

$500\pi\ cm^2$

b)

$550\ cm^2$

c)

$528\ cm^2$

d)

$1232\ cm^2$

52.

The ratio of radii of two cylinders are 2 : 3 and ratio of their heights is 3 : 2. find the ratio of their volumes.

a)

12 : 7

b)

4 : 9

c)

2 : 3

d)

3 : 2

53.

The lateral surface area of a cylinder is 352 cm² . Find its height if its diameter is 7cm

a)

7 cm

b)

14 cm

c)

8 cm

d)

16 cm

IGCSE Math Mensuration

Total questions: 53

Worksheet time: 1hrs 20mins

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