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