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.Spherical marbles of diameter 1.4 cm are dropped into beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm?
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2.How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm?
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3.Two solid cylinders, one with diameter 60 cm and height 30 cm and the other with radius 30 cm and height 60 cm, are melted and recasted into a third solid cylinder of height 10 cm. Find the diameter of the cylinder formed.
- A.60 cm
- B.90 cm
- C.120 cm
- D.180 cm
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4.Find what length of canvas, 2 m in width, is required to make a conical tent 12 m in diameter and 63 m in slant height? Also, find the cost of the canvas at the rate of ₹ 150 per metre.
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5.A hollow sphere of internal diameter 4 cm and external diameter 8 cm is melted and recast into a cone of base diameter 8 cm. Find the height of the cone formed.
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