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Mathematics for IGCSE & O level - Mensuration (Section 1)

1
How do you calculate the area of a triangle?
Answer
(B)
1/2 * base * height
2
Which formulas are needed to calculate the surface area of a cone?
Answer
A
C
3
What is the formula for the volume of a cuboid?
Answer
(B)
V = lwh
4
Which of the following is equivalent to a right angle?
Answer
(C)
90 degrees
5
The perimeter of a shape is the measure of its...
Answer
(C)
Boundary length
6
What should be calculated to find how much material is needed to cover an object completely?
Answer
(B)
Area
7
What is the difference between perimeter and area?
Answer
(B)
Perimeter is the distance around the outside, while area is the space inside.
8
What does the height of a parallelogram measure?
Answer
(C)
The perpendicular distance between the base and opposite side
9
If the base of a triangle is 6 cm and its height is 4 cm, what is the area of the triangle?
Answer
(B)
12 cm²
10
If the area of a rectangle is 56 cm² and its width is 7 cm, what is the length?
Answer
(A)
8 cm
11
What is the area of a square with sides that are 7 inches?
Answer
(C)
49 in²
12
How does the perimeter of a shape change if all its sides are doubled in length?
Answer
(B)
The perimeter doubles.
13
Which formula is used to find the volume of a cylinder?
Answer
(B)
V = πr²h
14
Calculate the curved surface area of a cone of base radius 5 cm and perpendicular height 12 cm
Answer
(C)
204.2 cm²
15
A cylinder has diameter 9 cm and height 8 cm. Calculate its volume.
Answer
(C)
54.9 cm³
16
The perimeter of a shape tells you...
Answer
(B)
The distance around it
17
What do you multiply to find the area of a rectangle?
Answer
(A)
The length and the width
18
What would you multiply to find the volume of a rectangular prism?
Answer
(A)
length x width x height
19
What is the unit used to measure length?
Answer
(C)
m
20
A cylinder has a diameter of 10 cm and a height of 15 cm. What is its volume?
Answer
(A)
117.8 cm³
21
A cylinder has a radius of 4cm and height of 6cm. What is its surface area
Answer
(A)
251.3 cm²
22
Which of the following is the correct formula for calculating the area of a sector of a circle?
Answer
A
C
23
What is the area of a rectangle with a length of 12 cm and a width of 4 cm?
Answer
(B)
48 cm²
24
A trapezium has parallel sides of 8 cm and 10 cm, and a height of 5 cm. What is the area of the trapezium?
Answer
(A)
45 cm²
25
What is the perimeter of a rectangular garden that is 7 meters long and 5 meters wide?
Answer
(C)
24 meters
26
What is always needed to measure the area of a 2D shape?
Answer
(B)
Units squared.
27
Calculate the volume of a cylinder with base radius 5cm and height 8.5 cm.
Answer
(A)
667.5 cm³
28
What is the name of the shape which has the same cross-section throughout its length?
Answer
(A)
A prism
29
How would you find the area of a shape made up of rectangles and triangles?
Answer
(C)
Find the area of each shape and add them up
30
A rectangle has a length of 10 cm and a width of 5 cm. What is its area?
Answer
(C)
50 cm²
31
What units are used to measure the distance around a shape?
Answer
(C)
Linear units
32
In a triangle, what is the height in relation to the base?
Answer
(B)
Perpendicular
33
To calculate the area of a triangle, you must know:
Answer
A
B
34
What is the area of a rectangle that is 7cm long and 3 cm wide?
Answer
(B)
21 cm²
35
If a solid has a cross section of 20cm² and a length of 5cm, what is the volume?
Answer
(B)
100 cm³
36
Calculate the surface area of the shape of a cuboid of 10cm x 8cm x 5cm
Answer
(A)
340 cm²
37
What do you calculate to find the amount of material needed to build a 3D shape?
Answer
(D)
Surface Area
38
What is the base of a triangle?
Answer
(B)
Any side of the triangle.
39
A cone has slant height 8 cm and curved surface area 63 cm². Calculate the total surface area of the cone.
Answer
(B)
88.5 cm²
40
Which of the following is the correct formula for calculating the volume of a rectangular prism?
Answer
(B)
V = lwh
41
If a farmer wants to fence a rectangular field that is 50 meters long and 25 meters wide, how much fencing does he need?
Answer
(C)
150 meters
42
What is the formula for the surface area of a cone?
Answer
A
C
43
To find the area of a triangle, one must know the...
Answer
(B)
Base and the height
44
If the perimeter of a square is 20 cm, what is its area?
Answer
(C)
25 cm²
45
What units are used to measure the length?
Answer
(C)
Linear
46
A trapezium has a height of 6cm and parallel sides of 5cm and 7cm. What is its area?
Answer
(B)
42 cm²
47
What is the volume of a cube with sides of length 3 cm?
Answer
(C)
27 cm³
48
What information is needed to find the area of a triangle?
Answer
B
C
49
Calculate the area of a triangle with base 6 cm and height 10 cm.
Answer
(B)
30 cm²
50
If the diameter of a circle is 12 cm, what is the radius?
Answer
(A)
6 cm