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 cylinder, a hemisphere and a cone have equal base diameters and have the same height. Which of the following correctly represents the ratio of their volumes?
- A.3 : 2 : 1
- B.2 : 3 : 1
- C.3 : 1 : 2
- D.6 : 4 : 1
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2.How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter?
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3.A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. How many identical cones are formed?
- A.48
- B.96
- C.144
- D.576
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4.A solid sphere of radius 15 cm is melted and recast into a solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast.
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5.A right cylindrical container of radius 6 cm and height 15 cm is full of ice-cream, which has to be distributed to 10 children in equal cones having hemispherical shape on the top. If the height of the conical portion is four times its base radius, find the radius of the ice-cream cone.
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