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.Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
- A.3 : π
- B.6 : π
- C.8 : π
- D.4 : π
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3.A buoy is made in the form of a hemisphere surmounted by a right cone whose circular base coincides with the plane surface of the hemisphere. The radius of the base of the cone is 3.5 metres and its volume is two-thirds of the hemisphere. What is the height of the cone and the surface area of the buoy, correct to two decimal places?
- A.Height = 4.67 m; Surface area = 179.59 m²
- B.Height = 3.50 m; Surface area = 154.00 m²
- C.Height = 7.00 m; Surface area = 220.50 m²
- D.Height = 2.33 m; Surface area = 120.45 m²
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4.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.
- A.2 cm
- B.3 cm
- C.4 cm
- D.5 cm
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5.12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. Find the diameter of each sphere.
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