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.The total surface area of a solid sphere (S₁) and a solid hemisphere (S₂), as shown in the diagram, are equal. The ratio of radii R and r is:
- a.1 : 1
- b.2 : 1
- c.$\sqrt{3} : 2$
- d.$2 : \sqrt{3}$
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2.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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3.A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
- A.7 cm
- B.14 cm
- C.21 cm
- D.28 cm
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4.A solid cone of radius $5\mathrm{cm}$ and height $8\mathrm{cm}$ is melted and made into small spheres of radius $0.5\mathrm{cm}$. Find the number of sphere formed.
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5.How many metres of canvas 1.25 m wide will be needed to make a conical tent whose base radius is 17.5 m and height 6 m?
- A.814 m
- B.654 m
- C.1017.5 m
- D.925 m
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