CBSE 10 Math · U6
Mensuration
CBSE Class 10 Mathematics Unit VI: areas related to circles, sectors and segments restricted to central angles 60, 90 and 120 degrees, and surface areas and volumes of combinations of two standard 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 6.1
Circle Measures
Using radius, diameter, circumference and area of circles in direct and reverse situations.
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Topic 6.2
Sectors and Arcs
Finding sector area, arc length and sector perimeter from central angle and radius.
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Topic 6.3
Segments and Composite Plane Figures
Calculating segment areas and shaded regions using sectors, triangles, rectangles and semicircles.
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Topic 6.4
Surface Area of Combined Solids
Counting only exposed curved and plane faces when two standard solids are joined.
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Topic 6.5
Volumes of Combined Solids
Adding volumes of non-overlapping solids in combinations of cones, cylinders, hemispheres, cubes and cuboids.
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