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 cone of maximum size is curved out from a cube of edge 14 cm. Find the surface area of the remaining solid after the cone is curved out.
- A.1176 cm²
- B.1366.3 cm²
- C.1540 cm²
- D.2237.92 cm²
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2.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.
- A.1:2
- B.2:1
- C.4:1
- D.1:4
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3.A hollow metallic cylindrical tube has an internal radius of $3\mathrm{cm}$ and height $21\mathrm{cm}$. The thickness of the metal is $0.5\mathrm{cm}$. The tube is melted and cast into a right circular cone of height $7\mathrm{cm}$. Find the radius of the cone, correct to one decimal place.
- A.$4.8\mathrm{cm}$
- B.$5.4\mathrm{cm}$
- C.$6.2\mathrm{cm}$
- D.$7.0\mathrm{cm}$
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4.A metallic sphere of total volume π is melted and recast into the shape of a right circular cylinder of radius 0.5 cm. What is the height of cylinder?
- A.4 cm
- B.3 cm
- C.2 cm
- D.6 cm
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5.During conversion of a solid from one shape to another, the volume of the new shape will
- a.increase
- b.decrease
- c.remain unaltered
- d.be doubled
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