Mathematics for IGCSE & O level - Mensuration (Section 2)
1
What is the perimeter of a square if one side is 5 cm?
Відповідь
(A)
20 cm
2
Which of the following are used to calculate the volume of a cylinder?
Відповідь
A
B
C
3
Which of the following formulas correctly calculates the area of a rectangle?
Відповідь
(B)
Area = length × width
4
If a shape has an area of 40 cm², and you double the height while keeping the base the same, what will be the new area?
Відповідь
(C)
80 cm²
5
Which of the following is needed to calculate the perimeter of any 2D shape?
Відповідь
(B)
The lengths of all its sides
6
What is the shape of the base of a cylinder?
Відповідь
(C)
Circle
7
If all the dimensions of a shape are increased, how will the area change?
Відповідь
(B)
The area will increase.
8
Find the volume of a cone with radius 3cm and height 6cm.
Відповідь
(A)
188.5 cm³
9
How can you find the height of a triangle if you know its area and the length of the base?
Відповідь
(B)
Divide the area by the base and then multiply by 2
10
The volume of a sphere is 1.3π x 10^9 cm³. Assume that Jupiter is a sphere. Find the surface area of Jupiter. Give your answer in standard form, correct to 3 significant figures.
Відповідь
(A)
1.87 x 10^10 cm²
11
What part of a circle defines the radius?
Відповідь
(A)
The distance from the center to the edge
12
How would you calculate the perimeter of a compound shape made of multiple rectangles?
Відповідь
A
C
13
What measurement do you need, in addition to the base, to calculate the area of a parallelogram?
Відповідь
(A)
The height
14
Which measurement does *not* play a part in finding the area of a circle?
Відповідь
(D)
Height
15
The perimeter of a shape is the distance all the way around the edge of the shape. Which of the following units would be appropriate to express the perimeter of a 2-D shape?
Відповідь
(C)
Kilometers
16
What is the correct way to write the area of a shape?
Відповідь
(C)
Using units squared
17
How is the area of a triangle calculated?
Відповідь
(B)
1/2 × base × height
18
The volume of a cylinder is 400cm³. Its radius is 5.3 cm. Calculate its height.
Відповідь
(A)
4.5 cm
19
The area is measured in what type of units?
Відповідь
(C)
Square units
20
What is the formula for the volume of a frustum of a cone?
Відповідь
(B)
1/3 * π * h * (R² + r² + Rr)
21
Which of the following is a 3-dimensional shape?
Відповідь
(C)
Cube
22
Which of the following is an irrational number related to circle calculations?
Відповідь
(C)
π
23
What is the area of a shape?
Відповідь
(B)
The space enclosed within the shape.
24
What is the area of a parallelogram with a base of 10 cm and a height of 6 cm?
Відповідь
(B)
60 cm²
25
How do you calculate the arc length of a sector?
Відповідь
(A)
Arc Length = (θ/360) * 2πr
26
A cone has slant height 8cm and curved surface area 63 cm². Calculate the total surface area of the cone.
Відповідь
(B)
88.5 cm²
27
What is the first step in solving for the area of a shape?
Відповідь
(A)
Determine the type of shape
28
Which are properties of a 3D shape?
Відповідь
A
B
C
D
29
Which of the following shapes have the same area?
Відповідь
A
B
D
30
Find the radius of a sphere whose volume is 36π cm³.
Відповідь
(B)
3 cm
31
What is a sector?
Відповідь
(B)
A section of a circle enclosed by two radii and an arc
32
What is the formula for calculating the volume of a sphere?
Відповідь
(D)
4/3πr³
33
What units are used for measuring the area of a shape?
Відповідь
(B)
Square units
34
The area of a cross-section of a prism is 75cm². In volume 1200 cm³. Calculate the length.
Відповідь
(A)
12 cm
35
If the radius of a sphere is tripled, how does its surface area change?
Відповідь
(C)
It increases by a factor of 9.
36
What type of units are used for measuring area?
Відповідь
(C)
Square units
37
If a rectangle's length is doubled and its width remains the same, what happens to its area?
Відповідь
(A)
It doubles.
38
If a triangle has a base of 10 inches and an area of 20 square inches, what is its height?
Відповідь
(D)
8 inches
39
Which of the following information is necessary to calculate the volume of a cylinder?
Відповідь
A
B
40
A sphere has a surface area of 1274 cm². What is its radius?
Відповідь
(A)
10 cm
41
Which measurements do you need to calculate the perimeter of a rectangle?
Відповідь
(C)
Length and width
42
Calculate the volume of a cylinder with base radius 5cm and height 8.5 cm.
Відповідь
(A)
667.5 cm³
43
The diameter of a circle is 10cm. What is the radius?
Відповідь
(A)
5 cm
44
A sphere has a surface area of 1274 cm². Calculate its radius.
Відповідь
(B)
18 cm
45
What is the formula to calculate the surface area of a sphere?
Відповідь
(C)
4πr²
46
What is volume measured in?
Відповідь
(A)
Cubic units
47
A rectangular room is 5 meters long and 4 meters wide. What is the perimeter of the room?
Відповідь
(A)
9 meters
48
A tower of a castle has walls in the form of a cylinder and a roof in the shape of a cone. The diameter of the tower is 5.6 m and the height of the wall is 12 m. The roof has a height of 6.2 m. Calculate the volume of the tower.
Відповідь
(D)
387.7 m³
49
A cylinder is 3 cm long and has radius 2.5 cm. Find its volume.
Відповідь
(A)
58.9 cm³
50
Which shapes can be cut and rearranged to create a rectangle?
