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Mathematics for IGCSE & O level - Mensuration (Section 12)

1
How is the curved surface area of a cone calculated?
Answer
(B)
πrl
2
A prism has a cross-sectional area of 20cm² and a length of 10cm. What is its volume?
Answer
(A)
200 cm³
3
What are the components you need to calculate the volume of a pyramid?
Answer
(B)
Area of base and height
4
What is the formula to find the volume of a rectangular prism?
Answer
(B)
V = lwh
5
What should you ensure when finding area of a parallelogram?
Answer
(B)
Use the perpendicular height and the base
6
What is the effect on the volume of a cone if both the radius and the height are doubled?
Answer
(C)
The volume is multiplied by 8.
7
If the volume of a cube is 27 cm³, what is the length of one of its sides?
Answer
(A)
3 cm
8
Find the volume of the remaining area after a cone of height 3cm is removed from a cone of height 12cm and base radius 4cm.
Answer
(A)
191.9 cm³
9
A trapezium has a base side 'a' of 6 cm and a base side 'b' of 8 cm. If its height is 4 cm, what is its area?
Answer
(A)
28 cm²
10
If the area of a circle is 28.26 cm², and pi = 3.14, what is its radius?
Answer
(A)
3cm
11
What is the formula for the volume of a cube?
Answer
(B)
V= s³
12
A prism has a triangular cross-section with an area of 12cm² and a length of 8cm. What is the volume of the prism?
Answer
(B)
96 cm³
13
If a circle has a diameter of 6cm, what is its area?
Answer
(B)
28.26 cm²
14
Which of the following represents the formula for calculating the area of a circle?
Answer
(A)
A = πr²
15
The volume of a cuboid base has base 7cm by 4cm and its volume is 98cm³. What is the height of the cuboid?
Answer
(A)
3.5 cm
16
What is the formula for the area of a triangle?
Answer
(D)
1/2 x base x height
17
What is the relationship between the diameter and the radius of a circle?
Answer
(A)
Diameter = 2 * Radius
18
If a solid hemisphere has a radius of 3 cm, what is its total surface area?
Answer
(B)
84.82 cm²
19
Which of the following shapes' area calculations involve the use of 1/2 in the formula?
Answer
B
D
20
What is the relationship between the radius (r) and diameter (d) of a circle?
Answer
(B)
d = 2r
21
What is the area of a square with sides of 4cm each?
Answer
(B)
16 cm²
22
A solid cone has a base radius of 6.5cm and a height of 6.3cm. Calculate its total surface area.
Answer
(A)
336.1 cm²
23
A rectangular prism has a base area of 30 cm² and a volume of 180 cm³. What is its height?
Answer
(C)
6 cm
24
What 2 things are needed to find the area of a rectangle?
Answer
(A)
length and width
25
If dealing with problems, what should you do first?
Answer
(A)
Read the question carefully and plan
26
A cylinder has a radius of 5cm and a height of 12cm. What is its volume? (use π = 3.14)
Answer
(A)
942 cm³
27
What is the area of a circle with a radius of 5cm?
Answer
(B)
78.5 cm²
28
What is the formula for the area of a parallelogram?
Answer
(A)
Base x Perpendicular height
29
What is the formula for calculating the volume of a sphere?
Answer
(C)
4/3πr³
30
Which units are appropriate for calculating the area of a field?
Answer
(C)
m²
31
What is the volume of a triangular prism whose base triangle has a base of 6cm and a height of 4cm, and the prism has a length of 10cm?
Answer
(B)
60 cm³
32
A rectangle has a length of 7cm and width of 4cm. What is the perimeter?
Answer
(C)
22cm
33
What is the area of a rectangle with a length of 10cm and a width of 5cm?
Answer
(C)
50 cm²
34
What is meant by 'slant height' of a cone?
Answer
(B)
The height from the tip of the cone to a point on the circumference of the base.
35
What is the formula for the area of a circle?
Answer
(C)
πr²
36
What is the formula for the area of a trapezium?
Answer
(C)
1/2 * (a + b) * h
37
Calculate the volume of a rectangular prism with a length of 8 cm, a width of 5 cm, and a height of 3 cm.
Answer
(A)
120 cm³
38
What is the area of a circle with a diameter of 10 cm?
Answer
(B)
78.5 cm²
39
The volume of a cylindrical tank is 600 m³. Its height is 6.5 m. Calculate the radius of its base.
Answer
(A)
5.7 m
40
Which measurements are required to calculate the volume of a rectangular prism?
Answer
A
B
C
41
A rectangle has a length of 10 cm and a width of 5 cm. What is its area?
Answer
(C)
50 cm²
42
The volume of a cube with sides of 4cm is:
Answer
(C)
64 cm³
43
A rectangle has a perimeter of 40 cm. If its width is 8 cm, what is its length?
Answer
(B)
12 cm
44
The formula for finding the area of a circle is?
Answer
(A)
πr²
45
Which of the following shapes can be used to approximate the volume of a frustum?
Answer
(A)
A combination of two cones
46
If you only know the curved surface area of a cone and the radius of its base, which formula can you use to find the slant height?
Answer
(A)
Slant height = curved surface area / πr
47
What is the area of a triangle with a base of 10 cm and a height of 6 cm?
Answer
(A)
30 cm²
48
A cone has a base with radius 5 cm and a slant height of 10 cm. What is the curved surface area of the cone?
Answer
(A)
50π
49
Which shapes' area calculations involve multiplying the base by the height?
Answer
B
C
50
What is the angle in the center of a circle, if it is divided into 10 equal sectors?
Answer
(C)
72°