Mathematics for IGCSE & O level - Mensuration (Section 3)
1
The perimeter of the minor segment of a circle of radius 5 cm with a 120° angle is...
2
If a triangle has an area of 30cm² and a base of 6cm. What is its height?
3
What is the formula for the area of a triangle?
4
The area of a triangle is 45 cm², and its base is 9 cm. What is its height?
5
If a circle's diameter is doubled, how does its circumference change?
6
If you know the circumference of a circle, what else can you find?
7
The perimeter of a rectangle is calculated by...
отговор(A)
Adding all the sides together
8
The surface of a rectangular prism is made up of what shapes?
9
The area of a square is equal to the square of its...
10
A cone has slant height 10 cm and curved surface area 65 cm². Calculate the total surface area of the cone.
11
Which units would be most appropriate to express the amount of space inside a room?
12
What is the formula for calculating the volume of a cylinder?
13
How do you calculate the area of a compound shape made up of simpler shapes, for example rectangles and triangles?
отговор(A)
Add the areas of each shape
14
If the area of a rectangle is 35 cm² and the width is 5 cm, what is the length?
15
Find the volume of a sphere of radius 6 cm.
16
In a trapezium, what is the name given to the two sides that are parallel?
17
Which formula should be used to calculate the area of a parallelogram?
18
Calculate the total surface area of a solid hemisphere with radius 7.1 cm and diameter 4.7 cm.
19
What must be in the same unit to calculate the area of a rectangle?
20
Which is the correct term for the distance around a circle?
21
A cone has a base radius of 4.2cm and a slant height of 15.0cm. Calculate its height.
22
What is the area of a triangle with a base of 12 cm and a height of 8 cm?
23
A cone has a base radius of 6 cm and a perpendicular height of 8 cm. Calculate its curved surface area.
24
A can of soup is an example of which 3D shape?
25
How do we define the height of a parallelogram?
отговор(B)
The perpendicular distance between the base and the opposite side.
26
What is the value of 2000 cm³ in liters?
27
What is the volume of a sphere with radius 7cm?
28
What is the definition of height in the context of calculating the area of a triangle?
отговор(B)
The distance from the base to the opposite vertex, measured perpendicularly.
29
If the area of a sector is 1/4πr², what is the angle of the sector?
30
What are the units for area calculations?
31
What is the formula to calculate the area of a rectangle?
32
Which of the following are examples of 3D shapes?
33
What type of units would the perimeter be measured in?
34
To find the area of a rectangle, what do you need to know?
35
The radius of Jupiter is 7.14 x 10^4 km. Find the surface area of Jupiter.
36
To calculate the area of a rectangle, you need to know:
37
Which of the following shapes can be considered a type of prism?
38
A sphere has a surface area of 1274 cm². Calculate the radius.
39
Which of these 3D shapes can be created by folding a 2D net?
40
If the radius of a sphere is halved, how does its surface area change?
41
If the volume of a cylinder is 100π cm³ and the height is 4 cm, what is the radius?
42
A fish tank is 80 cm long, 50 cm wide and 60 cm high. It does not have a lid. Calculate the surface area of the glass used to make the fish tank.
43
What geometric concept does pi (π) represent?
отговор(B)
The ratio of a circle's circumference to its diameter
44
What is the formula to find the surface area of a sphere?
45
What are the parallel sides in a trapezium?
отговор(C)
The two sides that never meet.
46
How are the radius and diameter of a circle related?
отговор(A)
The radius is half the diameter.
47
A cone has a slant height of 13 cm and a base radius of 5 cm. What is its curved surface area?
48
Which of the following shapes are prisms?
49
In the formula for the area of a circle, A = πr², what does 'r' represent?
50
The base and height of a triangle form which kind of angle?
