Mathematics for IGCSE & O level - Mensuration (Section 5)
1
What is the area of a rectangle that has a length of 9 cm and a width of 5 cm?
2
Which shape has the formula: 1/2 * (a+b) * h ?
3
The area of a trapezium is equal to half the sum of the parallel sides multiplied by the height. Which is the correct formula?
4
Which of these is a 3D shape?
5
If a circle has a radius of 3.5 cm, what is its area?
6
Which of the following must be known to calculate the area of a circle?
7
What properties are needed to compute the volume of a cylinder?
8
A parallelogram has a base of 7 cm and a height of 9 cm. What is its area?
9
A cylinder has a volume of 300 cm³ and a radius of 3 cm. What is its height?
10
How does the volume of a cube change if you double its side length?
คำตอบ(C)
It increases by a factor of 8
11
What does the height of a parallelogram always form with its base?
12
What is the formula for the area of a trapezium?
13
What is the area of a square with a side length of 6 cm?
14
The surface area of a hemisphere is 9π cm². Calculate its radius.
15
What are the units used to measure the volume of a solid?
16
What is the formula for calculating the curved surface area of a cone?
17
What is the formula for calculating the surface area of a sphere?
18
The perimeter of a rectangle is 30cm and its length is 9cm. What is its width?
19
What shape is made if you cut a parallelogram along its diagonal?
20
A triangle has an area of 15 cm² and a base of 5 cm. What is the height of the triangle?
21
How is the area of a circle determined?
22
If a cylinder has a diameter of 4 cm and a height of 5 cm, what is its volume?
23
A sphere has a surface area of 1274 cm². Calculate the radius.
24
A cylinder and a cone each have base radius 5cm. The cone and the cylinder both have the same volume. Find the height of the cone.
25
What is the formula for calculating the volume of a cone?
26
If the base of a parallelogram is doubled and the height stays the same, how does the area change?
27
A triangle has a base of 12cm and a height of 7cm. What is the area?
28
What is the formula to find the area of a triangle?
คำตอบ(B)
Area = 1/2 * base * height
29
A farmer wants to enclose a rectangular field with a length of 60 meters and a width of 40 meters with fencing. How much fencing does he need?
30
A parallelogram has a base of 5 cm and a height of 10 cm. What is its area?
31
Which of these shapes have opposite sides that are parallel?
32
Which of the following formulas correctly expresses the area of a rectangle?
33
If you know the area of a rectangle and the length, how do you find the width?
คำตอบ(B)
Divide the area by the length.
34
A sphere has a surface area of 1274 cm². Calculate the radius.
35
Which of the following is required to calculate the area of a triangle?
36
Calculate the total surface area of a solid hemisphere with radius 7.1 cm and diameter 4.7 cm.
37
Which of the following are needed to calculate the area of a parallelogram?
38
What must be known to calculate the area of a parallelogram?
39
The volume of a cylinder is 300π cm³ and the radius is 5cm. Find the height.
40
If you know the volume of a cube, what can you calculate?
41
For which shape do you need to know the base and the height to calculate its area?
42
What is the area of a triangle with a base of 14 cm and a height of 7 cm?
43
Which of the following formulas are used to determine the area of a shape?
44
A sphere has a surface area of 1274 cm². Calculate its radius.
45
What is the area of a rectangle with a length of 12 cm and a width of 5 cm?
46
Find the volume of a sphere of radius 6 cm.
47
If a triangle has a base of 8 cm and a perpendicular height of 6 cm, what is its area?
48
What is the relationship between the area and the perimeter of a square?
คำตอบ(C)
The area is proportional to the perimeter.
49
The volume of a cylindrical tank is 600 m³. Its height is 6.5 m. Calculate the radius of its base.
50
If a prism has a triangular cross-section, what is its volume calculated from?
คำตอบ(A)
Area of the triangle multiplied by the length
