Mensuration Practice Questions
WAEC (West Africa) · WAEC Mathematics · 135 free MCQs with instant results and detailed explanations.
135
Total
37
Easy
76
Medium
22
Hard
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Sample Questions from Mensuration
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
A.
50 cmยฒ
B.
15 cmยฒ
C.
25 cmยฒ
D.
75 cmยฒ
Show Answer & Explanation
Correct Answer: A
The area of a rectangle is calculated by multiplying its length by its width. Here, Area = Length ร Width = 10 cm ร 5 cm = 50 cmยฒ.
Q2
Easy
If a triangular field has a base of 12 m and a height of 5 m, what is its area?
A.
30 mยฒ
B.
60 mยฒ
C.
24 mยฒ
D.
15 mยฒ
Show Answer & Explanation
Correct Answer: A
The area of a triangle is calculated using the formula Area = 1/2 ร base ร height. Here, Area = 1/2 ร 12 m ร 5 m = 30 mยฒ.
Q3
Easy
What is the area of a rectangle with length 10 cm and width 5 cm?
A.
50 cmยฒ
B.
15 cmยฒ
C.
30 cmยฒ
D.
25 cmยฒ
Show Answer & Explanation
Correct Answer: A
The area of a rectangle is calculated using the formula Area = length ร width. Here, Area = 10 cm ร 5 cm = 50 cmยฒ.
Q4
Medium
What is the lateral surface area of a cylinder with a radius of 3 cm and a height of 5 cm?
A.
30ฯ cmยฒ
B.
15ฯ cmยฒ
C.
24ฯ cmยฒ
D.
18ฯ cmยฒ
Show Answer & Explanation
Correct Answer: A
The lateral surface area of a cylinder is calculated using the formula 2ฯrh. Substituting r = 3 cm and h = 5 cm gives 2 ร ฯ ร 3 ร 5 = 30ฯ cmยฒ.
Q5
Medium
A rectangular garden measures 12 m in length and 8 m in width. What is its perimeter?
A.
40 m
B.
32 m
C.
24 m
D.
48 m
Show Answer & Explanation
Correct Answer: A
The perimeter of a rectangle is found using the formula P = 2(l + w). Thus, P = 2(12 m + 8 m) = 2 ร 20 m = 40 m.
Q6
Medium
A cone has a radius of 4 cm and a height of 9 cm. What is its volume?
A.
48ฯ cmยณ
B.
36ฯ cmยณ
C.
12ฯ cmยณ
D.
18ฯ cmยณ
Show Answer & Explanation
Correct Answer: A
The volume of a cone is calculated using the formula V = (1/3)ฯrยฒh. Plugging in r = 4 cm and h = 9 cm gives V = (1/3)ฯ(4ยฒ)(9) = 48ฯ cmยณ.
Q7
Medium
What is the area of a triangle with a base of 10 cm and a height of 6 cm?
A.
30 cmยฒ
B.
60 cmยฒ
C.
12 cmยฒ
D.
36 cmยฒ
Show Answer & Explanation
Correct Answer: A
The area of a triangle is given by the formula A = (1/2) ร base ร height. So, A = (1/2) ร 10 cm ร 6 cm = 30 cmยฒ.
Q8
Hard
A cylindrical water tank has a height of 10 m and a radius of 3 m. What is the volume of the tank in cubic meters?
A.
84.78
B.
30.00
C.
94.25
D.
28.26
Show Answer & Explanation
Correct Answer: A
The volume V of a cylinder is calculated using the formula V = ฯrยฒh. Here, r = 3 m and h = 10 m. Thus, V = ฯ(3)ยฒ(10) = 84.78 cubic meters.
Q9
Hard
A rectangular garden is 12 meters long and 8 meters wide. If a path of uniform width is built around the garden, making the total area of the garden and path 200 square meters, what is the width of the path?
A.
2 m
B.
3 m
C.
4 m
D.
5 m
Show Answer & Explanation
Correct Answer: B
Let the width of the path be x meters. The dimensions of the garden plus the path become (12 + 2x) and (8 + 2x). The area of this rectangle is (12 + 2x)(8 + 2x) = 200. Solving gives x = 3 m.
Q10
Hard
A rectangular garden measures 10 meters by 5 meters. A path of uniform width is built around the garden, increasing the total area to 120 square meters. What is the width of the path?
A.
1 meter
B.
2 meters
C.
3 meters
D.
4 meters
Show Answer & Explanation
Correct Answer: B
Let the width of the path be x meters. The dimensions of the garden plus the path would be (10 + 2x) by (5 + 2x). The area equation is (10 + 2x)(5 + 2x) = 120. Solving gives x = 2.
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Mensuration โ WAEC (West Africa) WAEC Mathematics Practice Questions Online
This page contains 135 practice MCQs for the chapter Mensuration in WAEC (West Africa) WAEC Mathematics. The questions are organized by difficulty โ 37 easy, 76 medium, 22 hard โ so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.