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Mensuration Practice Questions

Class 8 · Mathematics · 596 free MCQs with instant results and detailed explanations.

596
Total
219
Easy
287
Medium
90
Hard

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Topics in Mensuration

Area of Polygon 175
Area of Trapezium 154
Volume 112
Surface Area 155

Sample Questions from Mensuration

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
What is the formula for the area of a trapezium?
A. 1/2 * (a + b) * h
B. a * b * h
C. a + b + c + d
D. 1/3 * (a + b) * h
Show Answer & Explanation
Correct Answer: A
The area of a trapezium can be computed using the formula A = 1/2 * (sum of parallel sides) * height.
Q2
Easy
A trapezium has an area of 36 cm², with parallel sides of lengths 6 cm and 10 cm. What is the height?
A. 3 cm
B. 4 cm
C. 5 cm
D. 6 cm
Show Answer & Explanation
Correct Answer: B
To find height, use A = 1/2 * (a + b) * h; rearranging gives h = 2A / (a + b). Thus, h = 2 * 36 / (6 + 10) = 4 cm.
Q3
Easy
Which of the following trapeziums has the largest area?
A. Base 5 cm, Top 10 cm, Height 4 cm
B. Base 6 cm, Top 9 cm, Height 3 cm
C. Base 4 cm, Top 12 cm, Height 2 cm
D. Base 7 cm, Top 8 cm, Height 6 cm
Show Answer & Explanation
Correct Answer: D
Calculating areas, D = 7.5 * 6 = 45 cm² is largest compared to others.
Q4
Medium
What is the area of a trapezium with bases of lengths 10 cm and 6 cm, and a height of 4 cm?
A. 32 cm²
B. 40 cm²
C. 24 cm²
D. 36 cm²
Show Answer & Explanation
Correct Answer: A
The area of a trapezium is given by the formula A = 1/2 * (b1 + b2) * h. Substituting, we get A = 1/2 * (10 + 6) * 4 = 32 cm².
Q5
Medium
If the height of a trapezium is doubled and the lengths of both bases remain the same, how does its area change?
A. It doubles
B. It remains the same
C. It triples
D. It halves
Show Answer & Explanation
Correct Answer: A
Area is directly proportional to height. If height doubles, the area will also double.
Q6
Medium
A trapezium has bases of lengths 15 cm and 25 cm and a height of 6 cm. What is the difference in area compared to a rectangle with the same height and width equal to the average of the bases?
A. 0 cm²
B. 30 cm²
C. 15 cm²
D. 45 cm²
Show Answer & Explanation
Correct Answer: B
The area of the trapezium is 120 cm². The rectangle's area is 180 cm² (average base = 20 cm). The difference is 60 cm².
Q7
Medium
A trapezium has one base that is 3 times the length of the other base and a height of 5 cm. If the area is 60 cm², what is the length of the shorter base?
A. 4 cm
B. 6 cm
C. 3 cm
D. 5 cm
Show Answer & Explanation
Correct Answer: A
Let the shorter base be x cm. Then the longer base is 3x cm. Area = 1/2 * (x + 3x) * 5 = 60 leads to x = 4 cm.
Q8
Hard
A trapezium has bases 7 m and 13 m, and the area is 80 m². What is the height of this trapezium?
A. 5 m
B. 6 m
C. 7 m
D. 8 m
Show Answer & Explanation
Correct Answer: A
Using area formula: Area = 1/2 * (Base1 + Base2) * Height. Rearranging gives Height = (2 * Area) / (Base1 + Base2) = (2 * 80) / (7 + 13) = 5 m.
Q9
Hard
A trapezium's area is 45 cm² with bases of lengths 3 cm and 9 cm. What is the height?
A. 3 cm
B. 5 cm
C. 4 cm
D. 6 cm
Show Answer & Explanation
Correct Answer: B
Using the area formula, we set up 45 = 1/2 * (3 + 9) * height. Simplifying gives height = 5 cm.
Q10
Hard
If a trapezium has bases of lengths 15 cm and 25 cm, and its area is 200 cm², what is the height?
A. 5 cm
B. 8 cm
C. 10 cm
D. 6 cm
Show Answer & Explanation
Correct Answer: C
Using the area formula: Area = 1/2 * (base1 + base2) * height, we find height = (200 * 2) / (15 + 25) = 10 cm.

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Mensuration — Class 8 Mathematics Practice Questions Online

This page contains 596 practice MCQs for the chapter Mensuration in Class 8 Mathematics. The questions are organized by difficulty — 219 easy, 287 medium, 90 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. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.