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?
Answer
(C)
mm²
2
A sphere has a surface area of 1274 cm². Calculate its radius.
Answer
(A)
10 cm
3
Which of the following is a unit of volume?
Answer
(C)
cm³
4
Find the radius of a sphere with a surface area of 153.9 cm².
Answer
(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?
Answer
(B)
16 cm²
6
Calculate the base area of a cone with slant height 8.3 cm and curved surface area 52 cm²
Answer
(A)
25 cm²
7
Calculate the volume of a sphere with radius 6cm.
Answer
(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?
Answer
(C)
300 cm³
9
Which of the following is an example of a 3-dimensional shape?
Answer
(C)
A sphere
10
What is the area of a triangle with a base of 8 cm and a height of 5 cm?
Answer
(A)
20 cm²
11
In calculating the volume of a prism, what is a key factor?
Answer
A
C
12
A shape is made from a combination of rectangles. How would you find the area?
Answer
(B)
Add the areas of the individual rectangles.
13
How many sides does a cube have?
Answer
(B)
6
14
What units are used to measure the perimeter of a shape?
Answer
(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.
Answer
(C)
334.4 cm²
16
If you need to calculate the amount of paint required for a wall, what are you calculating?
Answer
(B)
Area
17
A cone has base radius 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
Answer
(A)
154.5 cm²
18
Which of the following can be used to calculate the circumference of a circle?
Answer
A
B
19
If the radius of a circle is 7cm, what is its approximate circumference?
Answer
(A)
44 cm
20
What is the area of a triangle with a base of 4 meters and a height of 6 meters?
Answer
(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.
Answer
(B)
204.2 cm²
22
What shape has a volume?
Answer
(D)
Sphere
23
If you have a shape that isn't a standard shape, what's one way to calculate its area?
Answer
(C)
Try to divide the shape into simpler shapes.
24
Which of the following best describes 'area'?
Answer
(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?
Answer
(A)
47.1 cm³
26
What geometric shape is used to find the area of a circle?
Answer
(D)
Circle
27
What is the perimeter of a square with sides of 9cm?
Answer
(B)
36 cm
28
What is the difference between circumference and perimeter?
Answer
(B)
Circumference is the perimeter of a circle, perimeter is for other shapes.
29
What does 'π' represent in geometric calculations?
Answer
(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?
Answer
(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?
Answer
(B)
8 cm
32
What is the area of a triangle with base 10cm and height 8cm?
Answer
(A)
40 cm²
33
How is the area of a parallelogram calculated?
Answer
(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.
Answer
(B)
287.6 cm²
35
What is the area of a square with sides of 9cm?
Answer
(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?
Answer
(B)
60 cm²
37
What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?
Answer
(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?
Answer
(B)
4 cm
39
Which of these statements about calculating area are correct?
Answer
A
C
D
40
What type of units do we use to express the area of a shape?
Answer
(C)
Square units
41
The volume of a cylinder is 400 cm³. Its radius is 5.3 cm. Calculate its height.
Answer
(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?
Answer
(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?
Answer
(B)
The area doubles.
44
Which of the following is a unit used to measure volume?
Answer
(C)
cm³
45
The surface area of a hemisphere has an area of 9π cm². Calculate the curved surface area.
Answer
(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?
Answer
(B)
34 meters
47
What information is needed to find the area of a triangle?
Answer
A
B
48
Which shapes have two parallel sides?
Answer
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?
Answer
(B)
Square units
50
What is the term for the distance around a 2D shape?
