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Mathematics for IGCSE & O level - Mensuration (Section 5)

1
What is the area of a rectangle that has a length of 9 cm and a width of 5 cm?
Answer
(A)
45 cm²
2
Which shape has the formula: 1/2 * (a+b) * h ?
Answer
(C)
Trapezium
3
The area of a trapezium is equal to half the sum of the parallel sides multiplied by the height. Which is the correct formula?
Answer
(A)
1/2(a + b)h
4
Which of these is a 3D shape?
Answer
C
D
5
If a circle has a radius of 3.5 cm, what is its area?
Answer
(A)
38.5 cm²
6
Which of the following must be known to calculate the area of a circle?
Answer
A
B
7
What properties are needed to compute the volume of a cylinder?
Answer
A
C
D
8
A parallelogram has a base of 7 cm and a height of 9 cm. What is its area?
Answer
(C)
63 cm²
9
A cylinder has a volume of 300 cm³ and a radius of 3 cm. What is its height?
Answer
(B)
15 cm
10
How does the volume of a cube change if you double its side length?
Answer
(C)
It increases by a factor of 8
11
What does the height of a parallelogram always form with its base?
Answer
(C)
A right angle
12
What is the formula for the area of a trapezium?
Answer
(C)
1/2 x (a + b) x height
13
What is the area of a square with a side length of 6 cm?
Answer
(C)
36 cm²
14
The surface area of a hemisphere is 9π cm². Calculate its radius.
Answer
(A)
3 cm
15
What are the units used to measure the volume of a solid?
Answer
(B)
Cubic meters
16
What is the formula for calculating the curved surface area of a cone?
Answer
(B)
πrl
17
What is the formula for calculating the surface area of a sphere?
Answer
(C)
4πr²
18
The perimeter of a rectangle is 30cm and its length is 9cm. What is its width?
Answer
(B)
6 cm
19
What shape is made if you cut a parallelogram along its diagonal?
Answer
(A)
Triangle
20
A triangle has an area of 15 cm² and a base of 5 cm. What is the height of the triangle?
Answer
(B)
6 cm
21
How is the area of a circle determined?
Answer
(B)
A = πr²
22
If a cylinder has a diameter of 4 cm and a height of 5 cm, what is its volume?
Answer
(B)
125.6 cm³
23
A sphere has a surface area of 1274 cm². Calculate the radius.
Answer
(A)
10 cm
24
A cylinder and a cone each have base radius 5cm. The cone and the cylinder both have the same volume. Find the height of the cone.
Answer
(A)
3 cm
25
What is the formula for calculating the volume of a cone?
Answer
(B)
1/3 πr²h
26
If the base of a parallelogram is doubled and the height stays the same, how does the area change?
Answer
(B)
The area doubles
27
A triangle has a base of 12cm and a height of 7cm. What is the area?
Answer
(A)
42 cm²
28
What is the formula to find the area of a triangle?
Answer
(B)
Area = 1/2 * base * height
29
A farmer wants to enclose a rectangular field with a length of 60 meters and a width of 40 meters with fencing. How much fencing does he need?
Answer
(B)
200 meters
30
A parallelogram has a base of 5 cm and a height of 10 cm. What is its area?
Answer
(C)
50 cm²
31
Which of these shapes have opposite sides that are parallel?
Answer
B
C
32
Which of the following formulas correctly expresses the area of a rectangle?
Answer
(C)
Area = Length * Width
33
If you know the area of a rectangle and the length, how do you find the width?
Answer
(B)
Divide the area by the length.
34
A sphere has a surface area of 1274 cm². Calculate the radius.
Answer
(A)
10 cm
35
Which of the following is required to calculate the area of a triangle?
Answer
A
C
36
Calculate the total surface area of a solid hemisphere with radius 7.1 cm and diameter 4.7 cm.
Answer
(A)
475 cm²
37
Which of the following are needed to calculate the area of a parallelogram?
Answer
A
C
38
What must be known to calculate the area of a parallelogram?
Answer
A
B
39
The volume of a cylinder is 300π cm³ and the radius is 5cm. Find the height.
Answer
(A)
12 cm
40
If you know the volume of a cube, what can you calculate?
Answer
A
B
D
41
For which shape do you need to know the base and the height to calculate its area?
Answer
A
C
42
What is the area of a triangle with a base of 14 cm and a height of 7 cm?
Answer
(B)
49 cm²
43
Which of the following formulas are used to determine the area of a shape?
Answer
A
C
44
A sphere has a surface area of 1274 cm². Calculate its radius.
Answer
(A)
10 cm
45
What is the area of a rectangle with a length of 12 cm and a width of 5 cm?
Answer
(C)
60 cm²
46
Find the volume of a sphere of radius 6 cm.
Answer
(B)
904.3 cm³
47
If a triangle has a base of 8 cm and a perpendicular height of 6 cm, what is its area?
Answer
(A)
24 cm²
48
What is the relationship between the area and the perimeter of a square?
Answer
(C)
The area is proportional to the perimeter.
49
The volume of a cylindrical tank is 600 m³. Its height is 6.5 m. Calculate the radius of its base.
Answer
(A)
4.9 m
50
If a prism has a triangular cross-section, what is its volume calculated from?
Answer
(A)
Area of the triangle multiplied by the length