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)
Trả lời
(B)
12.56 cm²
2
Which formula should be used to find the area of a minor segment?
Trả lời
(A)
Area of a sector - Area of a triangle
3
How is the volume of a prism calculated?
Trả lời
(A)
Area of cross-section x length
4
What is the angle at the center of the circle when using the arc length?
Trả lời
(A)
Θ
5
A cylinder and a cone each have base radius 5.6cm. A cylinder is 6.2m high. Find its volume.
Trả lời
(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)
Trả lời
(B)
282.6 cm³
7
If the area of a rectangle is 35cm² and its width is 5cm, what is its length?
Trả lời
(A)
7cm
8
How do you calculate the area of a composite shape made up of rectangles and triangles?
Trả lời
(C)
Calculate the area of each individual shape and sum them.
9
What is the formula for the volume of a cone?
Trả lời
(D)
1/3πr²h
10
Which shapes can be split to find the total area?
Trả lời
A
B
C
11
Calculate the volume of a prism. 10cm long with each of these cross sections: Rectangle 5cm x 3cm
Trả lời
(A)
150 cm³
12
Calculate the total surface area of a solid hemisphere of radius 5cm.
Trả lời
(A)
235.6 cm²
13
What does 'r' represent in the formula for the area of a circle (A = πr²)?
Trả lời
(C)
Radius
14
What is the area of a square whose side is 4m?
Trả lời
(B)
16 m²
15
Calculate the surface area of a solid hemisphere with base radius 7.1cm and slant height 9.7cm.
Trả lời
(B)
363.5 cm²
16
Which of the following statements is/are true about the volume of a pyramid?
Trả lời
A
B
D
17
What is the formula for the area of a rectangle?
Trả lời
(C)
length x width
18
If the radius of a circle is r, what is the formula for its circumference?
Trả lời
(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.
Trả lời
A
B
C
20
Which equation can be used to find the volume of a rectangular prism?
Trả lời
(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?
Trả lời
(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)
Trả lời
(B)
10 cm
23
Which formula(s) can be used to find the surface area of a sphere?
Trả lời
(B)
4πr²
24
To find the area of a complex shape, it can be split into two __.
Trả lời
(C)
Rectangles and/or triangles
25
Which of the following involves a formula using the base and height?
Trả lời
B
C
D
26
What must be known to calculate the volume of a rectangular prism?
Trả lời
A
B
C
27
What does π (pi) represent in geometric calculations?
Trả lời
(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?
Trả lời
(B)
20 cm
29
Which of these is a composite shape?
Trả lời
(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?
Trả lời
(C)
20 m²
31
Which of the following shapes is a prism?
Trả lời
(B)
A cube
32
If a shape is made up of a rectangle and a triangle, how would you find its total area?
Trả lời
(C)
Add the area of the rectangle and the area of the triangle.
33
What is the formula for the area of a parallelogram?
Trả lời
(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?
Trả lời
(A)
234.7 m³
35
What is the formula to work out the perimeter of a sector?
Trả lời
(A)
Arc length + 2r
36
If a sphere has a radius of 7cm, what is the formula for its surface area?
Trả lời
(B)
4 * π * 7²
37
A solid hemisphere has a radius of 2 cm. What is its volume?
Trả lời
(D)
25.13 cm³
38
If the cross section is a rectangle, what is the formula to find the area?
Trả lời
(A)
Length x width
39
What is the formula for the volume of a prism?
Trả lời
(A)
Area of cross-section * length
40
What is the formula for the area of a rectangle?
Trả lời
(A)
Length x Width
41
If a hemisphere is half of a sphere, what is the formula for calculating its volume?
Trả lời
(B)
2/3πr³
42
What is the formula for the circumference of a circle, given its diameter (d)?
Trả lời
(C)
C = πd
43
If a circle has a diameter of 10cm, what is its area? (Use pi = 3.14)
Trả lời
(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?
Trả lời
(A)
5 m
45
A cone has slant height 7cm and curved surface area 68 cm². Calculate the total surface area of the cone.
Trả lời
(A)
96.8 cm²
46
Which shapes are considered to be pyramids?
Trả lời
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?
Trả lời
(B)
4cm
48
How is the height of a cylinder measured?
Trả lời
(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?
Trả lời
(B)
6cm
50
Which units of measure are used for length, area, volume, and capacity?
