Mensuration Practice Questions
IGCSE (Cambridge) · IGCSE Mathematics · 139 free MCQs with instant results and detailed explanations.
139
Total
38
Easy
80
Medium
21
Hard
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Sample Questions from Mensuration
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Q1
Easy
What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
A.
50 cm²
B.
25 cm²
C.
15 cm²
D.
60 cm²
Show Answer & Explanation
Correct Answer: A
The area of a rectangle is calculated by multiplying its length by its width. Here, 10 cm * 5 cm = 50 cm², which confirms that option A is correct.
Q2
Easy
If the height of a triangle is 8 cm and the base is 6 cm, what is the area of the triangle?
A.
24 cm²
B.
48 cm²
C.
12 cm²
D.
36 cm²
Show Answer & Explanation
Correct Answer: A
The area of a triangle is calculated using the formula Area = 1/2 × base × height. Here, 1/2 × 6 cm × 8 cm = 24 cm², confirming that option A is correct.
Q3
Easy
What is the volume of a cuboid with length 3 cm, width 4 cm, and height 5 cm?
A.
60 cm³
B.
20 cm³
C.
12 cm³
D.
15 cm³
Show Answer & Explanation
Correct Answer: A
The volume of a cuboid is calculated using the formula Volume = Length × Width × Height. So, Volume = 3 cm × 4 cm × 5 cm = 60 cm³.
Q4
Medium
What is the surface area of a cylinder with a radius of 3 cm and a height of 5 cm?
A.
75.4 cm²
B.
56.5 cm²
C.
94.2 cm²
D.
37.7 cm²
Show Answer & Explanation
Correct Answer: A
The surface area of a cylinder is calculated using the formula: 2πr(h + r). Substituting r = 3 cm and h = 5 cm, we find the surface area to be 2π(3)(5 + 3) = 75.4 cm².
Q5
Medium
A triangle has a base of 10 cm and a height of 6 cm. What is its area?
A.
30 cm²
B.
60 cm²
C.
20 cm²
D.
15 cm²
Show Answer & Explanation
Correct Answer: A
The area of a triangle is given by the formula: (1/2) × base × height. Thus, (1/2) × 10 cm × 6 cm = 30 cm².
Q6
Medium
A rectangular garden has a length of 12 m and a width of 8 m. What is the perimeter of the garden?
A.
40 m
B.
48 m
C.
32 m
D.
24 m
Show Answer & Explanation
Correct Answer: A
The perimeter of a rectangle is calculated by the formula: 2(length + width). Thus, 2(12 m + 8 m) = 40 m.
Q7
Medium
If the radius of a cone is doubled and the height remains the same, how does that affect the volume of the cone?
A.
The volume is quadrupled.
B.
The volume is doubled.
C.
The volume remains the same.
D.
The volume is halved.
Show Answer & Explanation
Correct Answer: A
The volume of a cone is given by (1/3)πr²h. Doubling the radius increases the volume by a factor of (2² = 4), thus the volume is quadrupled.
Q8
Hard
A cylinder has a height of 10 cm and a base radius of 4 cm. What is the total surface area of the cylinder? (Use π = 3.14)
A.
251.2 cm²
B.
268.8 cm²
C.
314 cm²
D.
201.6 cm²
Show Answer & Explanation
Correct Answer: B
The total surface area of a cylinder is given by the formula: 2πr(h + r). Here, r = 4 cm and h = 10 cm. So, Total Surface Area = 2 × 3.14 × 4 × (10 + 4) = 268.8 cm².
Q9
Hard
A cone has a slant height of 13 cm and a base radius of 5 cm. What is the volume of the cone? (Use π = 3.14)
A.
83.3 cm³
B.
130 cm³
C.
65 cm³
D.
104.17 cm³
Show Answer & Explanation
Correct Answer: A
The volume of a cone is given by the formula V = (1/3)πr²h. First, find the height using Pythagoras' theorem. h = √(l² - r²) = √(13² - 5²) = √(169 - 25) = √144 = 12 cm. Then, V = (1/3) × 3.14 × 5² × 12 = 83.3 cm³.
Q10
Hard
A cylinder has a radius of 4 cm and a height of 10 cm. What is the total surface area of the cylinder? (Use π = 3.14)
A.
251.2 cm²
B.
201.06 cm²
C.
314 cm²
D.
125.6 cm²
Show Answer & Explanation
Correct Answer: A
The total surface area of a cylinder is calculated using the formula: 2πr(h + r). Here, r = 4 cm and h = 10 cm, thus: 2 × 3.14 × 4 × (10 + 4) = 251.2 cm².
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Mensuration — IGCSE (Cambridge) IGCSE Mathematics Practice Questions Online
This page contains 139 practice MCQs for the chapter Mensuration in IGCSE (Cambridge) IGCSE Mathematics. The questions are organized by difficulty — 38 easy, 80 medium, 21 hard — 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.