Mathematics for IGCSE & O level - Mensuration (Section 6)
1
The volume of a cone is 50 cm³. If you double the radius and keep the height the same, what is the new volume?
2
What is the relationship between a circle's diameter and its radius?
3
The radius of Jupiter is 7.14 x 10^4 km. Find the surface area of Jupiter.
4
A sphere has a radius of 5 cm. What is its surface area?
5
To find the area of a complex shape, it is often helpful to do which of the following?
6
A parallelogram has a base of 11 cm and a height of 6 cm. What is the area of the parallelogram?
7
What is the perimeter of a rectangle with sides of 7 cm and 3 cm?
8
A cylinder has a volume of 300 cm³ and a radius of 3 cm. What is its height?
9
What is the relationship between the base and height of a triangle?
উত্তর(B)
They must be perpendicular to each other.
10
Which measurement is most directly related to finding the area of a shape?
11
What is the formula for the area of a trapezium?
12
A square has sides of 6 cm. What is its area?
13
A rectangle has a perimeter of 28cm. Its length is 8cm. What is the width?
14
To find the volume of a cube, you would use which formula?
15
What is the area of a triangle with base 8cm and height 5cm?
16
A sphere has a surface area of 1274 cm². Calculate its radius
17
What are the units for measuring the area of a 2D shape?
18
A cone has a base radius of 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
19
If the volume of a rectangular prism is 120 cm³ and its height is 4 cm and width is 3 cm, what is its length?
20
What happens to the area of a rectangle if both the length and width are doubled?
21
What is the key difference between a 2D and a 3D shape?
উত্তর(A)
2D shapes have area, 3D shapes have volume
22
If a rectangle has a length of 10 and a width of 8, what is the area?
23
What are the units of measurement for the perimeter of a shape?
24
In the area formula for a trapezium, what do 'a' and 'b' represent?
25
What is the formula for finding the area of a rectangle?
26
What is the volume of a cylinder with a radius of 2 cm and a height of 10 cm?
27
A sphere has a surface area of 49π cm². Calculate its radius
28
What is one way to find the area of a complex shape?
উত্তর(C)
Breaking it up into simpler shapes
29
If the volume of a cuboid is 240 cm³, and its length is 8 cm and width is 5 cm, what is its height?
30
What is the formula for the volume of a cone?
31
What is the purpose of a formula?
উত্তর(C)
To make calculations quicker and easier.
32
A sphere has a surface area of 1274 cm². Calculate the radius.
33
Identify the essential dimensions needed to calculate the volume of a cylinder.
34
A rectangle has an area of 40 cm² and a width of 5 cm. What is the length?
35
What do we measure when finding the perimeter of a 2D shape?
উত্তর(B)
The length around the outside
36
A rectangle has an area of 24cm² and a length of 6cm. What is its width?
37
What should you always ensure to do when calculating the area or perimeter?
উত্তর(B)
Remember to include units
38
Which measurements are needed to compute the area of a triangle?
39
A piece of land is in the shape of a parallelogram with base 20m and height 15m. Calculate the area of the land.
40
What do you calculate to find the space inside a 3D object?
41
What does 'lwh' represent in the volume formula?
42
What is the approximate value of Pi (π)?
43
A cone has a slant height of 13 cm and a base radius of 5 cm. What is its curved surface area?
44
If the diameter of a circle is 10cm, what is the circumference?
45
A square has a side length of 8 cm. What is its area?
46
What are the correct units to express the area of a room?
47
A sphere has a surface area of 1274 cm². Calculate its radius.
48
What is the perimeter of a rectangle with a length of 10cm and a width of 5cm?
49
What two measurements do you need to know to find the area of a rectangle?
50
If the radius of a sphere is halved, what is the ratio of the new volume to the original volume?
