Mathematics for IGCSE & O level - Mensuration (Section 7)
1
If the length and width of a rectangle are given in millimeters, what is the correct unit to state the area?
Απάντηση
(C)
mm²
2
A sphere has a surface area of 1274 cm². Calculate its radius.
Απάντηση
(A)
10 cm
3
Which of the following is a unit of volume?
Απάντηση
(C)
cm³
4
Find the radius of a sphere with a surface area of 153.9 cm².
Απάντηση
(A)
2 cm
5
A trapezium has parallel sides of 6 cm and 10 cm, and a height of 4 cm. What is the area of the trapezium?
Απάντηση
(B)
16 cm²
6
Calculate the base area of a cone with slant height 8.3 cm and curved surface area 52 cm²
Απάντηση
(A)
25 cm²
7
Calculate the volume of a sphere with radius 6cm.
Απάντηση
(A)
904.3 cm³
8
The volume of a cone is 50 cm³. If you triple the radius and keep the height the same, what is the new volume?
Απάντηση
(C)
300 cm³
9
Which of the following is an example of a 3-dimensional shape?
Απάντηση
(C)
A sphere
10
What is the area of a triangle with a base of 8 cm and a height of 5 cm?
Απάντηση
(A)
20 cm²
11
In calculating the volume of a prism, what is a key factor?
Απάντηση
A
C
12
A shape is made from a combination of rectangles. How would you find the area?
Απάντηση
(B)
Add the areas of the individual rectangles.
13
How many sides does a cube have?
Απάντηση
(B)
6
14
What units are used to measure the perimeter of a shape?
Απάντηση
(C)
Linear units
15
A solid cone has base radius of 6.5 cm and a height of 6.3 cm. Calculate its total surface area.
Απάντηση
(C)
334.4 cm²
16
If you need to calculate the amount of paint required for a wall, what are you calculating?
Απάντηση
(B)
Area
17
A cone has base radius 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
Απάντηση
(A)
154.5 cm²
18
Which of the following can be used to calculate the circumference of a circle?
Απάντηση
A
B
19
If the radius of a circle is 7cm, what is its approximate circumference?
Απάντηση
(A)
44 cm
20
What is the area of a triangle with a base of 4 meters and a height of 6 meters?
Απάντηση
(B)
12 m²
21
A cone has a base radius of 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
Απάντηση
(B)
204.2 cm²
22
What shape has a volume?
Απάντηση
(D)
Sphere
23
If you have a shape that isn't a standard shape, what's one way to calculate its area?
Απάντηση
(C)
Try to divide the shape into simpler shapes.
24
Which of the following best describes 'area'?
Απάντηση
(C)
The amount of surface covered by a 2D shape
25
What is the volume of a cone with a radius of 3 cm and a height of 5 cm?
Απάντηση
(A)
47.1 cm³
26
What geometric shape is used to find the area of a circle?
Απάντηση
(D)
Circle
27
What is the perimeter of a square with sides of 9cm?
Απάντηση
(B)
36 cm
28
What is the difference between circumference and perimeter?
Απάντηση
(B)
Circumference is the perimeter of a circle, perimeter is for other shapes.
29
What does 'π' represent in geometric calculations?
Απάντηση
(C)
The ratio of a circle's circumference to its diameter
30
How do you determine the area of a compound shape made of rectangles?
Απάντηση
(B)
Split the shape into smaller rectangles, calculate the area of each, and sum the areas.
31
A rectangle has an area of 72 cm² and a length of 9 cm. What is the width?
Απάντηση
(B)
8 cm
32
What is the area of a triangle with base 10cm and height 8cm?
Απάντηση
(A)
40 cm²
33
How is the area of a parallelogram calculated?
Απάντηση
(C)
Base * height
34
A solid cone has base radius of 5.3 cm and a height of 6.1 cm. Calculate the total surface area of a hemisphere with radius 7.1 cm and diameter 4.7 cm.
Απάντηση
(B)
287.6 cm²
35
What is the area of a square with sides of 9cm?
Απάντηση
(C)
81 cm²
36
A parallelogram has a base of 10cm and a height of 5cm. If the base is increased by 2cm, what is the new area?
Απάντηση
(B)
60 cm²
37
What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?
Απάντηση
(C)
60 cm³
38
A trapezium has an area of 24 cm². The parallel sides are 4 cm and 8 cm. What is the height?
Απάντηση
(B)
4 cm
39
Which of these statements about calculating area are correct?
Απάντηση
A
C
D
40
What type of units do we use to express the area of a shape?
Απάντηση
(C)
Square units
41
The volume of a cylinder is 400 cm³. Its radius is 5.3 cm. Calculate its height.
Απάντηση
(A)
4.5 cm
42
The area of a trapezium can be found using the formula: 1/2 * (a+b) * h. What do 'a' and 'b' represent?
Απάντηση
(B)
The two parallel sides.
43
If you double the base of a triangle and keep the height the same, how does the area change?
Απάντηση
(B)
The area doubles.
44
Which of the following is a unit used to measure volume?
Απάντηση
(C)
cm³
45
The surface area of a hemisphere has an area of 9π cm². Calculate the curved surface area.
Απάντηση
(C)
18π cm²
46
A rectangular garden is 10 meters long and 7 meters wide. How many meters of fencing are needed to enclose the garden?
Απάντηση
(B)
34 meters
47
What information is needed to find the area of a triangle?
Απάντηση
A
B
48
Which shapes have two parallel sides?
Απάντηση
A
C
D
49
The area of a rectangle is found by multiplying its length and width. What type of units would be the correct for area?
Απάντηση
(B)
Square units
50
What is the term for the distance around a 2D shape?
