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Mathematics for IGCSE & O level - Mensuration (Section 3)

1
The perimeter of the minor segment of a circle of radius 5 cm with a 120° angle is...
Answer
(A)
10 + 5π/3
2
If a triangle has an area of 30cm² and a base of 6cm. What is its height?
Answer
(C)
12 cm
3
What is the formula for the area of a triangle?
Answer
(C)
A = 1/2 * base * height
4
The area of a triangle is 45 cm², and its base is 9 cm. What is its height?
Answer
(B)
10 cm
5
If a circle's diameter is doubled, how does its circumference change?
Answer
(B)
It doubles.
6
If you know the circumference of a circle, what else can you find?
Answer
A
B
7
The perimeter of a rectangle is calculated by...
Answer
(A)
Adding all the sides together
8
The surface of a rectangular prism is made up of what shapes?
Answer
(C)
Rectangles
9
The area of a square is equal to the square of its...
Answer
(D)
Side
10
A cone has slant height 10 cm and curved surface area 65 cm². Calculate the total surface area of the cone.
Answer
(D)
76.4 cm²
11
Which units would be most appropriate to express the amount of space inside a room?
Answer
(B)
Cubic meters
12
What is the formula for calculating the volume of a cylinder?
Answer
(A)
πr²h
13
How do you calculate the area of a compound shape made up of simpler shapes, for example rectangles and triangles?
Answer
(A)
Add the areas of each shape
14
If the area of a rectangle is 35 cm² and the width is 5 cm, what is the length?
Answer
(B)
7 cm
15
Find the volume of a sphere of radius 6 cm.
Answer
(B)
904.3 cm³
16
In a trapezium, what is the name given to the two sides that are parallel?
Answer
(B)
Parallel sides
17
Which formula should be used to calculate the area of a parallelogram?
Answer
(C)
A = base * height
18
Calculate the total surface area of a solid hemisphere with radius 7.1 cm and diameter 4.7 cm.
Answer
(B)
356.1 cm²
19
What must be in the same unit to calculate the area of a rectangle?
Answer
(A)
Length and width
20
Which is the correct term for the distance around a circle?
Answer
(C)
Circumference
21
A cone has a base radius of 4.2cm and a slant height of 15.0cm. Calculate its height.
Answer
(B)
14.3 cm
22
What is the area of a triangle with a base of 12 cm and a height of 8 cm?
Answer
(B)
48 cm²
23
A cone has a base radius of 6 cm and a perpendicular height of 8 cm. Calculate its curved surface area.
Answer
(A)
188.5 cm²
24
A can of soup is an example of which 3D shape?
Answer
(C)
Cylinder
25
How do we define the height of a parallelogram?
Answer
(B)
The perpendicular distance between the base and the opposite side.
26
What is the value of 2000 cm³ in liters?
Answer
(B)
2 l
27
What is the volume of a sphere with radius 7cm?
Answer
(B)
150.8 cm³
28
What is the definition of height in the context of calculating the area of a triangle?
Answer
(B)
The distance from the base to the opposite vertex, measured perpendicularly.
29
If the area of a sector is 1/4πr², what is the angle of the sector?
Answer
(C)
45°
30
What are the units for area calculations?
Answer
(B)
Square units
31
What is the formula to calculate the area of a rectangle?
Answer
(C)
Length x Width
32
Which of the following are examples of 3D shapes?
Answer
A
C
33
What type of units would the perimeter be measured in?
Answer
(C)
Linear units
34
To find the area of a rectangle, what do you need to know?
Answer
A
B
35
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
36
To calculate the area of a rectangle, you need to know:
Answer
A
B
37
Which of the following shapes can be considered a type of prism?
Answer
(B)
A cylinder
38
A sphere has a surface area of 1274 cm². Calculate the radius.
Answer
(A)
10 cm
39
Which of these 3D shapes can be created by folding a 2D net?
Answer
(C)
Cube
40
If the radius of a sphere is halved, how does its surface area change?
Answer
(B)
It is quartered.
41
If the volume of a cylinder is 100π cm³ and the height is 4 cm, what is the radius?
Answer
(B)
5 cm
42
A fish tank is 80 cm long, 50 cm wide and 60 cm high. It does not have a lid. Calculate the surface area of the glass used to make the fish tank.
Answer
(A)
22,800 cm²
43
What geometric concept does pi (π) represent?
Answer
(B)
The ratio of a circle's circumference to its diameter
44
What is the formula to find the surface area of a sphere?
Answer
(B)
4πr²
45
What are the parallel sides in a trapezium?
Answer
(C)
The two sides that never meet.
46
How are the radius and diameter of a circle related?
Answer
(A)
The radius is half the diameter.
47
A cone has a slant height of 13 cm and a base radius of 5 cm. What is its curved surface area?
Answer
(B)
65 cm²
48
Which of the following shapes are prisms?
Answer
A
B
D
49
In the formula for the area of a circle, A = πr², what does 'r' represent?
Answer
(A)
Radius
50
The base and height of a triangle form which kind of angle?
Answer
(C)
Right