CBSE 9 Math · U5
Mensuration
CBSE Class 9 Mathematics Unit V: perimeter and area of plane figures, circles, arc length, sector area, Heron's formula, Brahmagupta's formula, and surface area and volume of common solids.
Test yourself
A focused, distraction-free run through 65 multiple-choice questions. Hints if you need them; your score at the end.
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Topic 5.1
Perimeter, Area and Units
Dimensions, unit conversion, perimeter, and area of rectangles, squares, parallelograms, and triangles.
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Topic 5.2
Circles, Arcs and Sectors
Circumference, area of circle, arc length, sector area, and simple applications.
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Topic 5.3
Heron's Formula and Quadrilateral Area
Area from three sides, semiperimeter, and Brahmagupta's formula for cyclic quadrilaterals.
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Topic 5.4
Cuboids, Cubes and Cylinders
Curved surface area, total surface area, and volume of cuboids, cubes, and cylinders.
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Topic 5.5
Cones, Spheres, Hemispheres and Pyramids
Surface area and volume of cones, spheres, hemispheres, pyramids, and simple combinations.
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