Mathematics for IGCSE & O level - Mensuration (Section 13)
1
A circle has a radius of 2 cm. What is its area, rounded to two decimal places? (Use π ≈ 3.14)
پاسخ دهید
(B)
12.56 cm²
2
Which formula should be used to find the area of a minor segment?
پاسخ دهید
(A)
Area of a sector - Area of a triangle
3
How is the volume of a prism calculated?
پاسخ دهید
(A)
Area of cross-section x length
4
What is the angle at the center of the circle when using the arc length?
پاسخ دهید
(A)
Θ
5
A cylinder and a cone each have base radius 5.6cm. A cylinder is 6.2m high. Find its volume.
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(B)
610.7 cm³
6
A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (use pi = 3.14)
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(B)
282.6 cm³
7
If the area of a rectangle is 35cm² and its width is 5cm, what is its length?
پاسخ دهید
(A)
7cm
8
How do you calculate the area of a composite shape made up of rectangles and triangles?
پاسخ دهید
(C)
Calculate the area of each individual shape and sum them.
9
What is the formula for the volume of a cone?
پاسخ دهید
(D)
1/3πr²h
10
Which shapes can be split to find the total area?
پاسخ دهید
A
B
C
11
Calculate the volume of a prism. 10cm long with each of these cross sections: Rectangle 5cm x 3cm
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(A)
150 cm³
12
Calculate the total surface area of a solid hemisphere of radius 5cm.
پاسخ دهید
(A)
235.6 cm²
13
What does 'r' represent in the formula for the area of a circle (A = πr²)?
پاسخ دهید
(C)
Radius
14
What is the area of a square whose side is 4m?
پاسخ دهید
(B)
16 m²
15
Calculate the surface area of a solid hemisphere with base radius 7.1cm and slant height 9.7cm.
پاسخ دهید
(B)
363.5 cm²
16
Which of the following statements is/are true about the volume of a pyramid?
پاسخ دهید
A
B
D
17
What is the formula for the area of a rectangle?
پاسخ دهید
(C)
length x width
18
If the radius of a circle is r, what is the formula for its circumference?
پاسخ دهید
(B)
2πr
19
A cone has a base radius of 5cm and a slant height of 13cm. Calculate the total surface area of the cone.
پاسخ دهید
A
B
C
20
Which equation can be used to find the volume of a rectangular prism?
پاسخ دهید
(A)
V = l x w x h
21
What is the relationship between the volume of a cone and a cylinder with the same base radius and height?
پاسخ دهید
(C)
The volume of the cone is one-third the volume of the cylinder.
22
A circle has a circumference of 31.4 cm. What is its approximate diameter? (Use π ≈ 3.14)
پاسخ دهید
(B)
10 cm
23
Which formula(s) can be used to find the surface area of a sphere?
پاسخ دهید
(B)
4πr²
24
To find the area of a complex shape, it can be split into two __.
پاسخ دهید
(C)
Rectangles and/or triangles
25
Which of the following involves a formula using the base and height?
پاسخ دهید
B
C
D
26
What must be known to calculate the volume of a rectangular prism?
پاسخ دهید
A
B
C
27
What does π (pi) represent in geometric calculations?
پاسخ دهید
(B)
The ratio of a circle's circumference to its diameter
28
If a square has a side length of 5 cm, what is its perimeter?
پاسخ دهید
(B)
20 cm
29
Which of these is a composite shape?
پاسخ دهید
(D)
A shape made from combining a rectangle and a triangle
30
A room is 5m long and 4m wide. How much floor space does it cover?
پاسخ دهید
(C)
20 m²
31
Which of the following shapes is a prism?
پاسخ دهید
(B)
A cube
32
If a shape is made up of a rectangle and a triangle, how would you find its total area?
پاسخ دهید
(C)
Add the area of the rectangle and the area of the triangle.
33
What is the formula for the area of a parallelogram?
پاسخ دهید
(B)
A= base * height
34
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. What is the volume of the tower?
پاسخ دهید
(A)
234.7 m³
35
What is the formula to work out the perimeter of a sector?
پاسخ دهید
(A)
Arc length + 2r
36
If a sphere has a radius of 7cm, what is the formula for its surface area?
پاسخ دهید
(B)
4 * π * 7²
37
A solid hemisphere has a radius of 2 cm. What is its volume?
پاسخ دهید
(D)
25.13 cm³
38
If the cross section is a rectangle, what is the formula to find the area?
پاسخ دهید
(A)
Length x width
39
What is the formula for the volume of a prism?
پاسخ دهید
(A)
Area of cross-section * length
40
What is the formula for the area of a rectangle?
پاسخ دهید
(A)
Length x Width
41
If a hemisphere is half of a sphere, what is the formula for calculating its volume?
پاسخ دهید
(B)
2/3πr³
42
What is the formula for the circumference of a circle, given its diameter (d)?
پاسخ دهید
(C)
C = πd
43
If a circle has a diameter of 10cm, what is its area? (Use pi = 3.14)
پاسخ دهید
(B)
78.5 cm²
44
A rectangular garden is 12 meters long and has an area of 60 square meters. What is the width of the garden?
پاسخ دهید
(A)
5 m
45
A cone has slant height 7cm and curved surface area 68 cm². Calculate the total surface area of the cone.
پاسخ دهید
(A)
96.8 cm²
46
Which shapes are considered to be pyramids?
پاسخ دهید
A
B
D
47
A box has a volume of 120 cm³. If its length is 6cm and its width is 5cm, what is its height?
پاسخ دهید
(B)
4cm
48
How is the height of a cylinder measured?
پاسخ دهید
(B)
The distance between the centers of the two circular bases.
49
A rectangle has a perimeter of 28cm and one side is 8cm. How long is the other side?
پاسخ دهید
(B)
6cm
50
Which units of measure are used for length, area, volume, and capacity?
