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.From a circular cylinder of diameter $10\mathrm{cm}$ and height $12\mathrm{cm}$, a conical cavity of the same base radius and the same height is hollowed out. Find the volume and the whole surface of the remaining solid. Leave the answer in $\pi$.
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2.Find the volume and surface area of a sphere of radius : (i) $10.5\mathrm{cm}$ (ii) $4.2\mathrm{cm}$ (iii) $5.25\mathrm{cm}$
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3.A cone is $40\mathrm{cm}$ high. A small cone is cut off at the top by a plane parallel to its base. If its volume be $\frac{1}{64}$ of the volume of the given cone, at what height above the base is the section cut?
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4.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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5.Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter $2\,\mathrm{cm}$ and height $16\,\mathrm{cm}$. The diameter of each sphere is
- a.$4\,\mathrm{cm}$
- b.$3\,\mathrm{cm}$
- c.$2\,\mathrm{cm}$
- d.$6\,\mathrm{cm}$
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