Mathematics for IGCSE & O level - Mensuration (Section 9)
1
The radius of a sphere is 7 cm. Find the volume.
Απάντηση
(A)
1436.8 cm³
2
If the radius of a sphere is doubled, how does its surface area change?
Απάντηση
(C)
It quadruples.
3
If a shape has 4 equal sides and 4 right angles, what is it?
Απάντηση
(C)
A square
4
Which of the following are equivalent to a right angle?
Απάντηση
(C)
90 degrees
5
A cone has slant height 10 cm and curved surface area 65 cm². Calculate the total surface area of the cone.
Απάντηση
(D)
76.4 cm²
6
For finding the area of a triangle, you need:
Απάντηση
A
B
7
A cuboid has base 3 cm by 4 cm and its volume is 48 cm³. What is the height of the cuboid?
Απάντηση
(D)
5 cm
8
A sphere has a surface area of 1274 cm². Calculate the radius.
Απάντηση
(A)
10 cm
9
What is the relationship between the area of a parallelogram and a triangle with the same base and height?
Απάντηση
(B)
The area of the triangle is half the area of the parallelogram.
10
If the volume of a rectangular prism is 100 cm³ and its length is 5 cm and its width is 4 cm, what is its height?
Απάντηση
(A)
5 cm
11
What is the area of a circle with a diameter of 14 cm?
Απάντηση
(B)
153.86 cm²
12
A solid cone has a volume of 300 cm³. If the height of the cone is 10 cm, what is its base area?
Απάντηση
(A)
90 cm²
13
Which of the following statements is true regarding the area of a triangle?
Απάντηση
(C)
The area increases if either the base or the height increases.
14
A spherical ball has a curved surface area of 572 cm². Calculate its volume.
Απάντηση
(A)
1200 cm³
15
If a triangle has a base of 8 cm and a height of 6 cm, what is its area?
Απάντηση
(B)
24 cm²
16
A farmer wants to build a fence around a circular field. If the radius of the field is 14 meters, approximately how much fencing does he need? (Use π ≈ 22/7)
Απάντηση
(C)
176 meters
17
If the radius of a cylinder is 3 cm and its height is 10 cm, what is its volume?
Απάντηση
(A)
90π cm³
18
If a circle has a radius of 7cm, what is its approximate circumference?
Απάντηση
(B)
43.96 cm
19
A solid cone has a base radius of 3.5 cm and a height of 6.3 cm. What is the formula for calculating its total surface area?
Απάντηση
(A)
πr² + πrl
20
In area calculations, which is always important?
Απάντηση
(B)
Making sure the answer is square units
21
If the area of a rectangle is 30 cm² and its length is 6 cm, what is its width?
Απάντηση
(B)
5 cm
22
What are the units for area?
Απάντηση
(C)
square units
23
What do you multiply to find the area of a rectangle?
Απάντηση
A
B
24
The volume of a cone is 75π cm³ and its radius is 5cm, what is the height?
Απάντηση
(B)
9 cm
25
If the diameter of a circle is 12 cm, what is its radius?
Απάντηση
(A)
6 cm
26
If the base area of a cone is 20 cm² and the height is 9 cm, what is the cone's volume?
Απάντηση
(A)
60 cm³
27
What is the formula for calculating the area of a triangle?
Απάντηση
(C)
A = 1/2 * b * h
28
Which of the following statements about the height of a cone is true?
Απάντηση
(B)
The height is the perpendicular distance from the apex to the center of the base.
29
A room is 5m long, 4m wide and 2.5m high. What is the volume?
Απάντηση
(B)
50m³
30
What shapes do you need to calculate the total surface area of a prism?
Απάντηση
(D)
All of the above
31
What do you need to find out to calculate the surface area of the cylinder?
Απάντηση
(D)
Radius and Height
32
How do you find the area of a shape made of a rectangle and a triangle?
Απάντηση
(C)
Add the area of the rectangle and the area of the triangle.
33
Which of the following shapes has its volume calculated by using its cross sectional area?
Απάντηση
(C)
Prism
34
Which of the following is the correct formula for the area of a parallelogram (which can look like a tilted rectangle)?
Απάντηση
(B)
Area = base * height
35
What are the two key elements required to calculate the area of a circle?
Απάντηση
(B)
Radius or diameter and Pi (π)
36
The volume of a pyramid is given by the formula...
Απάντηση
(C)
1/3 * base area * height
37
To find the total surface area of a solid, which parts of the solid do you add?
Απάντηση
(A)
All of the individual surfaces
38
A cone has a base of radius 4.2cm and a slant height of 15cm. Calculate its height.
Απάντηση
(B)
14.6 cm
39
What is a key characteristic of the faces of a pyramid that are not the base?
Απάντηση
(B)
They are always triangles.
40
The area of a circle sector is equal to?
Απάντηση
(A)
(θ/360) * πr²
41
A rectangular cupboard is 2m by 1m by 1.6m. Find its volume.
Απάντηση
(A)
3.2 m³
42
What is the volume of a rectangular box that is 3 cm long, 4 cm wide, and 5 cm high?
Απάντηση
(A)
60 cm³
43
If you want to find the surface area of a prism, what should you calculate?
Απάντηση
(A)
The surface area of all the individual surfaces.
44
The volume of a prism is equal to which calculation?
Απάντηση
(C)
area of cross section x length
45
If a cone has a base radius of 5cm and a slant height of 13cm, calculate its height.
Απάντηση
(A)
12 cm
46
A rectangular prism has a volume of 120 cm³. If its length is 6 cm and its width is 4 cm, what is its height?
Απάντηση
(A)
5 cm
47
All the edges of the square-based pyramid are 5cm. Calculate its volume.
Απάντηση
(B)
29.5 cm³
48
What is the radius of a circle with a diameter of 16cm?
Απάντηση
(B)
8 cm
49
What are some examples of individual surfaces?
Απάντηση
A
B
50
The area of a circle is calculated using which formula?
