Mathematics for IGCSE & O level - Mensuration (Section 10)
1
Which is the most accurate way to find the area of an irregular shape?
Answer
(C)
Draw a grid and count the squares within the shape.
2
In a parallelogram what is used to calculate the area?
Answer
(B)
Base x Height
3
What is the formula for the volume of a cylinder?
Answer
(A)
V = πr²h
4
Calculate the slant height of a cone of base radius 7cm and curved surface area 150cm².
Answer
(C)
6.2 cm
5
A cylinder is 5cm long and has radius 2.5cm. Find its volume.
Answer
(A)
98.2 cm³
6
When calculating the area of a trapezium, what do you need to know?
Answer
(C)
The parallel sides and the perpendicular height
7
What are the correct units for measuring the volume of a 3D shape?
Answer
A
B
C
8
The total surface area of a hemisphere has an area of 94cm². Calculate the curved surface area.
Answer
(C)
61 cm²
9
The curved surface area of a cone is given as 50cm². The formula for finding the slant height (l) of the cone is?
Answer
(A)
l = (50) / (πr)
10
What is the area of a square with sides of 7cm?
Answer
(B)
49 cm²
11
Which of the following shapes can be considered a frustum?
Answer
(A)
A cone with its top cut off
12
How do you find the perimeter of a 2-D shape?
Answer
(B)
Add up the length of all the sides
13
A cylindrical water tank has a radius of 1 meter and a height of 3 meters. What is the volume of the tank? (Use π = 3.14)
Answer
(B)
18.84 m³
14
What is the area of a circle with a radius of 7cm? (Use π=22/7)
Answer
(B)
154 cm²
15
If the radius of a sphere is halved, how does the surface area change?
Answer
(B)
The surface area is quartered.
16
A sphere is 5.14 x 10^9cm. 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)
3.32 x 10^19 cm²
17
What is the circumference of a circle with a diameter of 14 cm? (Use π = 22/7)
Answer
(B)
44 cm
18
A rectangular prism has dimensions of 4 cm x 6 cm x 10 cm. What is its total surface area?
Answer
(C)
248 cm²
19
Which of the following is the correct equation for circumference?
Answer
A
B
20
What is the volume of a cylinder with a cross-sectional area of 10 cm² and a length of 5 cm?
Answer
(A)
50 cm³
21
A cylindrical can has a radius of 4 cm and a height of 10 cm. Calculate the volume (use π = 3.14).
Answer
(B)
502.4 cm³
22
Calculate the base area of a cone with slant height 8.5cm and curved surface area 50 cm².
Answer
(B)
18.8 cm²
23
Calculate the volume of a cylinder with base radius 5cm and height 6.7cm.
Answer
(A)
527.9 cm³
24
The volume of a cuboid is dependent upon which measurements?
Answer
A
B
C
25
A cylinder has a radius of 4 cm and a height of 10 cm. What is its surface area?
Answer
(B)
351.6 cm²
26
What is the formula to calculate the curved surface area of a cone?
Answer
(B)
πrl
27
What is the radius of a circle if its diameter is 8cm?
Answer
(B)
4 cm
28
Which of the following is NOT a prism?
Answer
(D)
Pyramid
29
What do you need to ensure when finding area of a triangle?
Answer
(B)
Use the perpendicular height to the base
30
To find the area of a composite shape made of a rectangle and a triangle, you would:
Answer
(C)
Add the areas of both shapes together.
31
The area of a shape made of a rectangle and a triangle is found by...
Answer
(B)
Adding their areas
32
The area of a minor segment is equal to?
Answer
(A)
Area of sector - area of triangle
33
What is the primary difference between perimeter and area?
Answer
(C)
Perimeter is the distance around a shape, area is the space inside.
34
What does the perimeter of a 2-D shape represent?
Answer
(C)
The distance around the outside of the shape
35
The value of 'l' in the formula for the curved surface area of a cone represents what measurement?
Answer
(C)
Slant height
36
What is the area of the cross-section of a cylinder?
Answer
(A)
πr²
37
If an answer requires more figures than you need, how would you get to the final answer?
Answer
(A)
By rounding
38
A cylinder has diameter 9cm and height 8cm. Calculate its volume.
Answer
(B)
478.2 cm³
39
What is the formula for the volume of a frustum of a cone?
Answer
(A)
Volume of cone - volume of missing cone
40
Which of the following is necessary to calculate the area of a triangle?
Answer
A
B
41
How do you calculate the area of a triangle?
Answer
(B)
0.5 x base x height
42
If a cone and a cylinder have the same base radius and the same height, what is the ratio of their volumes (cone:cylinder)?
Answer
(B)
1:3
43
If the volume of a sphere is 288π cm³, what is its radius?
Answer
(A)
6 cm
44
What shape is a cylinder's cross section?
Answer
(C)
Circle
45
A trapezoid has a height of 4cm, and parallel sides of 5cm and 7cm. What is the area?
Answer
(B)
24 cm²
46
A rectangular garden is 8 meters long and 6 meters wide. What is the area of the garden?
Answer
(B)
48 m²
47
Which shapes have the same cross-section through their height?
Answer
A
B
48
The volume of a cylinder can be calculated using:
Answer
(B)
Volume = πr²h
49
Which units are appropriate for the area of a 2D shape?
Answer
A
B
C
50
Which shapes can have their volume calculated using the same basic formula?
