Mathematics for IGCSE & O level - Mensuration (Section 8)
1
Which of the following are units that could be used to measure area?
Answer
B
C
2
Which of the following is a 2-D shape?
Answer
(C)
A circle
3
A pyramid has a square base with side of 5cm, find its volume if its height is 10cm.
Answer
(B)
93.3 cm³
4
A cone has a base radius of 4.2 cm and a slant height of 15.0 cm. Calculate the height
Answer
(A)
14.3 cm
5
A triangle has an area of 30cm². If the base is 10 cm, what is its height?
Answer
(C)
15 cm
6
What is the formula for the area of a circle?
Answer
(B)
Area = πr²
7
To calculate the perimeter of a 2-D shape, what do you need to know?
Answer
(C)
The lengths of all the sides of the shape.
8
To find the area of a parallelogram, which two measurements are needed?
Answer
(B)
Base and height.
9
A parallelogram has an area of 40 cm². If the base is 8 cm, what is the height?
Answer
(B)
5 cm
10
A field is in the shape of a parallelogram. Its base is 15m and its height is 10m. What is the area of the field?
Answer
(C)
150 m²
11
What is the relationship between the radius and circumference of a circle?
Answer
(A)
Circumference = 2π * radius
12
What is the formula to calculate the area of a square?
Answer
(C)
Area = side²
13
If the circumference of a circle is 31.4 cm, what is its approximate radius?
Answer
(B)
5 cm
14
If a circle has a radius of 6 cm, what is its approximate area?
Answer
(B)
113.04 cm²
15
What is meant by 'perpendicular height'?
Answer
(C)
A line that forms a right angle with the base.
16
Which of the following is an example of a 2D shape?
Answer
(C)
A triangle
17
If a rectangular prism has a volume of 60 cm³ and a base area of 15 cm², what is its height?
Answer
(D)
6 cm
18
A parallelogram has a base of 15 cm and a height of 8 cm. What is its area?
Answer
(C)
120 cm²
19
Find the volume of a cone with a base radius of 6 cm and a height of 7 cm.
Answer
(A)
263.9 cm³
20
What two measurements are needed to calculate the perimeter of a rectangle?
Answer
(B)
Length and Width
21
What factors are necessary to calculate the volume of a rectangular prism?
Answer
A
B
C
22
A cone has a base radius of 4.2 cm and a slant height of 15.0 cm. Calculate the height
Answer
(A)
14.3 cm
23
If the side of a square is 7 meters, what is the area?
Answer
(C)
49 m²
24
The formula for the area of a rectangle is...
Answer
(C)
Length * Width
25
What geometric measurements are needed to find the volume of a rectangular prism?
Answer
A
B
C
26
To determine the area of a circle, which of these must be known?
Answer
A
B
27
The volume of a cylinder is found by:
Answer
(B)
Area x height
28
A rectangular cupboard is 2m by 1 m by 1.6 m. Find its volume.
Answer
(A)
3.2 m³
29
What is the formula to calculate the volume of a prism?
Answer
(B)
V = area of base x height
30
A solid cone has base radius of 6.5 cm and a height of 6.3 cm. Calculate its total surface area.
Answer
(C)
334.4 cm²
31
To find the area of a rectangle, you need to know:
Answer
A
B
32
A square has sides of 7 cm. What is the area of the square?
Answer
(C)
49 cm²
33
What is the perimeter of a rectangle with a length of 5cm and a width of 3cm?
Answer
(C)
16 cm
34
What is the difference between area and volume?
Answer
(A)
Area measures 2D space, volume measures 3D space.
35
What units should be used when measuring area?
Answer
(C)
Square centimeters
36
Which of the following is an example of a two-dimensional (2D) shape?
Answer
(C)
A triangle
37
What is the area of a circle with a radius of 5 cm?
Answer
(B)
78.5 cm²
38
A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume?
Answer
(A)
502.7 cm³
39
What is the shape of the cross-section of a cylinder?
Answer
(C)
Circle
40
A sphere has a surface area of 1274 cm². Calculate the radius.
Answer
(A)
10 cm
41
Calculate the total surface area of a solid hemisphere with radius 7.1 cm and diameter 4.7 cm.
Answer
(B)
356.1 cm²
42
Which of the following information is necessary to determine the circumference of a circle?
Answer
A
B
43
If the base of a triangle is 6 cm and the height is 4 cm, what is the area?
Answer
(C)
12 cm²
44
If the radius of a sphere is halved, how does its volume change?
Answer
(C)
It is reduced by a factor of 8.
45
A tower of a castle has walls in the form of a cylinder and a roof in the shape of a cone. The diameter of the tower is 5.6 m and the height of the wall is 12 m. The roof has a height of 6.2 m. What is the total surface area of the tower (excluding the base)?
Answer
(B)
325.8 m²
46
If the side of a square is 5cm, what is the perimeter?
Answer
(C)
20 cm
47
Complete the statement: A cube has ____ faces.
Answer
(B)
6
48
Find the volume of a cone with a base radius of 6 cm and a height of 7 cm.
Answer
(A)
263.9 cm³
49
A cone has a base radius of 5cm and a perpendicular height of 12cm. Calculate for curved surface area.
