Mathematics for IGCSE & O level - Mensuration (Section 2)
1
What is the perimeter of a square if one side is 5 cm?
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(A)
20 cm
2
Which of the following are used to calculate the volume of a cylinder?
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A
B
C
3
Which of the following formulas correctly calculates the area of a rectangle?
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(B)
Area = length × width
4
If a shape has an area of 40 cm², and you double the height while keeping the base the same, what will be the new area?
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(C)
80 cm²
5
Which of the following is needed to calculate the perimeter of any 2D shape?
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(B)
The lengths of all its sides
6
What is the shape of the base of a cylinder?
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(C)
Circle
7
If all the dimensions of a shape are increased, how will the area change?
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(B)
The area will increase.
8
Find the volume of a cone with radius 3cm and height 6cm.
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(A)
188.5 cm³
9
How can you find the height of a triangle if you know its area and the length of the base?
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(B)
Divide the area by the base and then multiply by 2
10
The volume of a sphere is 1.3π x 10^9 cm³. Assume that Jupiter is a sphere. Find the surface area of Jupiter. Give your answer in standard form, correct to 3 significant figures.
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(A)
1.87 x 10^10 cm²
11
What part of a circle defines the radius?
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(A)
The distance from the center to the edge
12
How would you calculate the perimeter of a compound shape made of multiple rectangles?
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A
C
13
What measurement do you need, in addition to the base, to calculate the area of a parallelogram?
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(A)
The height
14
Which measurement does *not* play a part in finding the area of a circle?
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(D)
Height
15
The perimeter of a shape is the distance all the way around the edge of the shape. Which of the following units would be appropriate to express the perimeter of a 2-D shape?
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(C)
Kilometers
16
What is the correct way to write the area of a shape?
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(C)
Using units squared
17
How is the area of a triangle calculated?
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(B)
1/2 × base × height
18
The volume of a cylinder is 400cm³. Its radius is 5.3 cm. Calculate its height.
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(A)
4.5 cm
19
The area is measured in what type of units?
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(C)
Square units
20
What is the formula for the volume of a frustum of a cone?
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(B)
1/3 * π * h * (R² + r² + Rr)
21
Which of the following is a 3-dimensional shape?
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(C)
Cube
22
Which of the following is an irrational number related to circle calculations?
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(C)
π
23
What is the area of a shape?
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(B)
The space enclosed within the shape.
24
What is the area of a parallelogram with a base of 10 cm and a height of 6 cm?
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(B)
60 cm²
25
How do you calculate the arc length of a sector?
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(A)
Arc Length = (θ/360) * 2πr
26
A cone has slant height 8cm and curved surface area 63 cm². Calculate the total surface area of the cone.
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(B)
88.5 cm²
27
What is the first step in solving for the area of a shape?
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(A)
Determine the type of shape
28
Which are properties of a 3D shape?
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A
B
C
D
29
Which of the following shapes have the same area?
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A
B
D
30
Find the radius of a sphere whose volume is 36π cm³.
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(B)
3 cm
31
What is a sector?
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(B)
A section of a circle enclosed by two radii and an arc
32
What is the formula for calculating the volume of a sphere?
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(D)
4/3πr³
33
What units are used for measuring the area of a shape?
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(B)
Square units
34
The area of a cross-section of a prism is 75cm². In volume 1200 cm³. Calculate the length.
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(A)
12 cm
35
If the radius of a sphere is tripled, how does its surface area change?
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(C)
It increases by a factor of 9.
36
What type of units are used for measuring area?
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(C)
Square units
37
If a rectangle's length is doubled and its width remains the same, what happens to its area?
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(A)
It doubles.
38
If a triangle has a base of 10 inches and an area of 20 square inches, what is its height?
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(D)
8 inches
39
Which of the following information is necessary to calculate the volume of a cylinder?
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A
B
40
A sphere has a surface area of 1274 cm². What is its radius?
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(A)
10 cm
41
Which measurements do you need to calculate the perimeter of a rectangle?
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(C)
Length and width
42
Calculate the volume of a cylinder with base radius 5cm and height 8.5 cm.
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(A)
667.5 cm³
43
The diameter of a circle is 10cm. What is the radius?
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(A)
5 cm
44
A sphere has a surface area of 1274 cm². Calculate its radius.
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(B)
18 cm
45
What is the formula to calculate the surface area of a sphere?
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(C)
4πr²
46
What is volume measured in?
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(A)
Cubic units
47
A rectangular room is 5 meters long and 4 meters wide. What is the perimeter of the room?
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(A)
9 meters
48
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. Calculate the volume of the tower.
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(D)
387.7 m³
49
A cylinder is 3 cm long and has radius 2.5 cm. Find its volume.
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(A)
58.9 cm³
50
Which shapes can be cut and rearranged to create a rectangle?
