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Class 8 Mathematics — Chapter 9: Mensuration

72 practice questions · 24 Easy · 24 Medium · 24 Hard

Practise Class 8 Mathematics Chapter 9, "Mensuration", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.

"Mensuration" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.

Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Mensuration, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.

Key concepts: Mensuration (Class 8 Mathematics)

This chapter covers the area of plane figures (trapezium, quadrilateral, polygon) and the surface area and volume of solids (cuboid, cube, cylinder).

Area of a trapezium
Area = ½ × (sum of parallel sides) × height.
Area of quadrilateral/polygon
Found by splitting the figure into triangles using a diagonal and adding their areas.
Surface area
The total area of all faces of a solid; lateral surface area excludes the top and bottom.
Volume
The space occupied by a solid, measured in cubic units; 1 m³ = 1000 L.
Solids covered
Cuboid, cube and cylinder — each with its own surface-area and volume formula.

Key formulas — Mensuration

Trapezium area
A = ½ (a + b) × h
Cuboid
TSA = 2(lb + bh + hl), V = l·b·h
Cylinder
CSA = 2πrh, TSA = 2πr(r + h), V = πr²h

💡 Exam tips for Mensuration

  • Match units: convert all measurements to the same unit before computing area or volume.
  • Remember 1 cm³ = 1 mL and 1 m³ = 1000 L for capacity conversions.

Sample questions

Q1Easy

Area of rectangle (l, b):

A.l + b
B.2(l+b)
C.l × b✓ correct
D.l/b
Why

Length × breadth.

Q2Medium

Area of trapezium (parallel sides a, b; height h):

A.(a−b)h
B.abh
C.½(a+b)h✓ correct
D.½ab
Why

Standard formula.

Q3Hard

Total surface area of cube of side a:

A.4a²
B.
C.6a²✓ correct
D.
Why

6 faces of area a².

Mensuration — FAQs

What are the key concepts in Class 8 Mathematics Mensuration?+

This chapter covers the area of plane figures (trapezium, quadrilateral, polygon) and the surface area and volume of solids (cuboid, cube, cylinder). Key ideas include Area of a trapezium, Area of quadrilateral/polygon, Surface area, Volume, Solids covered.

What does Class 8 Mathematics Chapter 9 (Mensuration) cover on XamBaaz?+

It covers 72 NCERT-aligned MCQs on "Mensuration" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.

Are these "Mensuration" questions free to practise?+

Yes — sign in with Google to practise "Mensuration" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.

How should I revise "Mensuration" for the exam?+

Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.

Practise all 72 questions free

Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.

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