Mathematics for IGCSE & O level - Mensuration (Section 4)

1
What is the perimeter of a square with a side length of 4cm?
Odpoveď
(C)
16 cm
2
What is the formula for calculating the circumference of a circle?
Odpoveď
(B)
C = πd
3
What is the formula for calculating the total surface area of a cylinder?
Odpoveď
(C)
2πr(h + r)
4
How can you calculate the perimeter of a rectangle?
Odpoveď
(B)
2 × (Length + Width)
5
If you know the radius of a circle, how can you find its diameter?
Odpoveď
(B)
Multiply the radius by 2.
6
If a cylinder has a base radius of 3cm and a height of 10cm, what is its volume?
Odpoveď
(B)
282.6 cm³
7
A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
Odpoveď
(A)
6 cm
8
How is the volume of a rectangular prism determined?
Odpoveď
(A)
By multiplying its length, width, and height
9
What should you do if a shape is not a standard shape?
Odpoveď
(B)
Try to break it down into simpler shapes.
10
What is the formula for the volume of a pyramid?
Odpoveď
(C)
1/3 * base area * height
11
To find the volume of a rectangular prism, you need:
Odpoveď
A
B
C
12
A sphere has a surface area of 1274 cm². Calculate the radius.
Odpoveď
(A)
10 cm
13
Which of the following is required to find the volume of a cylinder?
Odpoveď
A
C
14
What is the relationship between the height and the base of a triangle?
Odpoveď
(B)
They are perpendicular
15
Calculate the perimeter of a shape with sides 4cm, 5cm, 6cm, 7cm.
Odpoveď
(B)
24 cm
16
Calculate the curved surface area of a cone of slant height 10 cm and base radius 3cm.
Odpoveď
(A)
94.2 cm²
17
A parallelogram has a base of 12 cm and a height of 7 cm. What is the area of the parallelogram?
Odpoveď
(C)
84 cm²
18
The volume of a cylinder is 400 cm³. Its radius is 5.3 cm. Calculate its height.
Odpoveď
(A)
4.5 cm
19
In the formula for the area of a triangle, what does 'h' represent?
Odpoveď
(B)
Height
20
Calculate the perimeter of the segment of a circle of radius 5 cm with a 120° angle.
Odpoveď
(A)
10 cm + 5π/3 cm
21
Find the volume of the base of a cone with these dimensions: Volume: 5.6cm³, height: 5.2 cm
Odpoveď
(C)
2.16 cm³
22
What shape is formed when a rectangle is rotated around one of its sides?
Odpoveď
(C)
Cylinder
23
If a parallelogram has a base of 8cm and an area of 32cm², what is its height?
Odpoveď
(B)
4 cm
24
How is the area of a parallelogram calculated?
Odpoveď
(C)
Base x height
25
How do you find the circumference of a circle if you only know the radius?
Odpoveď
(B)
C = 2 * π * r
26
A cone has a base radius of 4.2 cm and a slant height of 15.0 cm. Calculate its height
Odpoveď
(B)
13.8 cm
27
If you have a square with a perimeter of 24cm, what is its area?
Odpoveď
(A)
36cm²
28
If the radius of a sphere is doubled, how does its volume change?
Odpoveď
(D)
It increases by a factor of 8.
29
A cone has a base radius of 5 cm and a perpendicular height of 12 cm. Calculate its slant height.
Odpoveď
(B)
13 cm
30
To find the area of a complex shape, what is the best approach?
Odpoveď
(B)
Divide the shape into simpler shapes
31
What is the area of a triangle with a base of 10 cm and a height of 4 cm?
Odpoveď
(B)
20 cm²
32
A rectangular garden is 8m long and 6m wide. What is the perimeter of the garden?
Odpoveď
(C)
28 m
33
Complete the statement: A cylinder has ____ vertices.
Odpoveď
(A)
0
34
Which of the following are necessary to calculate the area of a triangle?
Odpoveď
A
B
35
If you need to find the area of a shape, what kind of unit should you use?
Odpoveď
(B)
Square centimeters
36
What type of angle do the base and height of a parallelogram form?
Odpoveď
(C)
Right angle
37
If the base area of a cylinder is 25 cm² and the height is 10 cm, what is its volume?
Odpoveď
(A)
250 cm³
38
If a circle has a circumference of 62.8 cm, what is its approximate diameter?
Odpoveď
(B)
20 cm
39
If the radius of a sphere is doubled, how does its volume change?
Odpoveď
(D)
It increases by a factor of 8.
40
If a rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 2 cm, what is its volume?
Odpoveď
(A)
100 cm³
41
If the length, width, and height of a box are doubled, by what factor does the volume increase?
Odpoveď
(C)
8
42
The circumference of a circle can be calculated using which formula?
Odpoveď
(B)
C = 2πr
43
Which of the following statements is correct regarding a trapezium?
Odpoveď
(B)
Only one pair of sides is parallel.
44
A trapezium has parallel sides of 9 cm and 11 cm and a height of 6 cm. What is its area?
Odpoveď
(B)
60 cm²
45
What are the two parallel sides of a trapezium often called?
Odpoveď
(B)
The bases
46
What is the relationship between the area of a triangle and a rectangle with the same base and height?
Odpoveď
(B)
The area of the triangle is half the area of the rectangle.
47
What information do you need to calculate the area of a sector of a circle?
Odpoveď
(A)
The radius and the central angle of the sector
48
What formula is used to calculate the area of a parallelogram?
Odpoveď
(C)
base * height
49
Calculate the curved surface area of a cone of slant height 10cm and base radius 3cm.
Odpoveď
(A)
94.2 cm²
50
A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume?
Odpoveď
(A)
502.7 cm³