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Mathematics for IGCSE & O level - Mensuration (Section 6)

1
The volume of a cone is 50 cm³. If you double the radius and keep the height the same, what is the new volume?
Answer
(C)
200 cm³
2
What is the relationship between a circle's diameter and its radius?
Answer
A
B
3
The radius of Jupiter is 7.14 x 10^4 km. Find the surface area of Jupiter.
Answer
(A)
6.39 x 10^10 km²
4
A sphere has a radius of 5 cm. What is its surface area?
Answer
(A)
314.2 cm²
5
To find the area of a complex shape, it is often helpful to do which of the following?
Answer
A
D
6
A parallelogram has a base of 11 cm and a height of 6 cm. What is the area of the parallelogram?
Answer
(C)
66 cm²
7
What is the perimeter of a rectangle with sides of 7 cm and 3 cm?
Answer
(D)
20 cm
8
A cylinder has a volume of 300 cm³ and a radius of 3 cm. What is its height?
Answer
(A)
10.6 cm
9
What is the relationship between the base and height of a triangle?
Answer
(B)
They must be perpendicular to each other.
10
Which measurement is most directly related to finding the area of a shape?
Answer
(C)
Length
11
What is the formula for the area of a trapezium?
Answer
(B)
1/2 * (a + b) * h
12
A square has sides of 6 cm. What is its area?
Answer
(C)
36 cm²
13
A rectangle has a perimeter of 28cm. Its length is 8cm. What is the width?
Answer
(C)
6 cm
14
To find the volume of a cube, you would use which formula?
Answer
(C)
V = s³
15
What is the area of a triangle with base 8cm and height 5cm?
Answer
(B)
20 cm²
16
A sphere has a surface area of 1274 cm². Calculate its radius
Answer
(A)
10 cm
17
What are the units for measuring the area of a 2D shape?
Answer
(B)
Square units
18
A cone has a base radius of 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
Answer
(B)
204.2 cm²
19
If the volume of a rectangular prism is 120 cm³ and its height is 4 cm and width is 3 cm, what is its length?
Answer
(B)
10 cm
20
What happens to the area of a rectangle if both the length and width are doubled?
Answer
(C)
The area quadruples.
21
What is the key difference between a 2D and a 3D shape?
Answer
(A)
2D shapes have area, 3D shapes have volume
22
If a rectangle has a length of 10 and a width of 8, what is the area?
Answer
(B)
80
23
What are the units of measurement for the perimeter of a shape?
Answer
(C)
Linear units
24
In the area formula for a trapezium, what do 'a' and 'b' represent?
Answer
(C)
The two parallel sides
25
What is the formula for finding the area of a rectangle?
Answer
(C)
Length * Width
26
What is the volume of a cylinder with a radius of 2 cm and a height of 10 cm?
Answer
(B)
125.6 cm³
27
A sphere has a surface area of 49π cm². Calculate its radius
Answer
(D)
2.5 cm
28
What is one way to find the area of a complex shape?
Answer
(C)
Breaking it up into simpler shapes
29
If the volume of a cuboid is 240 cm³, and its length is 8 cm and width is 5 cm, what is its height?
Answer
(C)
6 cm
30
What is the formula for the volume of a cone?
Answer
(B)
1/3 * πr²h
31
What is the purpose of a formula?
Answer
(C)
To make calculations quicker and easier.
32
A sphere has a surface area of 1274 cm². Calculate the radius.
Answer
(A)
10 cm
33
Identify the essential dimensions needed to calculate the volume of a cylinder.
Answer
A
C
34
A rectangle has an area of 40 cm² and a width of 5 cm. What is the length?
Answer
(B)
8 cm
35
What do we measure when finding the perimeter of a 2D shape?
Answer
(B)
The length around the outside
36
A rectangle has an area of 24cm² and a length of 6cm. What is its width?
Answer
(B)
4 cm
37
What should you always ensure to do when calculating the area or perimeter?
Answer
(B)
Remember to include units
38
Which measurements are needed to compute the area of a triangle?
Answer
A
B
39
A piece of land is in the shape of a parallelogram with base 20m and height 15m. Calculate the area of the land.
Answer
(B)
300 m²
40
What do you calculate to find the space inside a 3D object?
Answer
(C)
Volume
41
What does 'lwh' represent in the volume formula?
Answer
(A)
Length, Width, Height
42
What is the approximate value of Pi (π)?
Answer
(B)
3.14
43
A cone has a slant height of 13 cm and a base radius of 5 cm. What is its curved surface area?
Answer
(A)
204.2 cm²
44
If the diameter of a circle is 10cm, what is the circumference?
Answer
(A)
31.4cm
45
A square has a side length of 8 cm. What is its area?
Answer
(C)
64 cm²
46
What are the correct units to express the area of a room?
Answer
(D)
m²
47
A sphere has a surface area of 1274 cm². Calculate its radius.
Answer
(A)
10 cm
48
What is the perimeter of a rectangle with a length of 10cm and a width of 5cm?
Answer
(B)
30 cm
49
What two measurements do you need to know to find the area of a rectangle?
Answer
A
B
50
If the radius of a sphere is halved, what is the ratio of the new volume to the original volume?
Answer
(C)
1:8