ICSE Class 10 Surface Area and Volume (Cylinder, Cone, Sphere) — Mock Test (2027)
Free online mock test for Surface Area and Volume (Cylinder, Cone, Sphere) (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Surface Area and Volume (Cylinder, Cone, Sphere) chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.A solid metallic sphere of diameter $16\mathrm{cm}$ is melted and recasted into smaller solid cones, each of radius $4\mathrm{cm}$ and height $8\mathrm{cm}$. Find the number of cones so formed.
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2.A hollow spherical shell is made of a metal which weighs 4.5 g per cm³. If its external diameter is 6 cm and thickness 1 cm, find the weight of the shell.
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3.There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.
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4.Volume of a cylinder of height $3\mathrm{cm}$ is $48\pi$. Radius of the cylinder is:
- a.$48\mathrm{cm}$
- b.$16\mathrm{cm}$
- c.$4\mathrm{cm}$
- d.$24\mathrm{cm}$
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5.The radii of the bases of two solid right circular cones of the same height are r₁ and r₂ respectively. The cones are melted and recast into a solid sphere of radius R. What is the height of each cone in terms of r₁, r₂, and R?
- A.h = (4R³) / (r₁² + r₂²)
- B.h = (3R³) / (r₁² + r₂²)
- C.h = (4R²) / (r₁² + r₂²)
- D.h = (R³) / (r₁² + r₂²)
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