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Mathematics for IGCSE & O level - Mensuration (Section 2)

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