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.Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm in diameter. How long, in minutes, would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?
- A.51.2 minutes
- B.12.8 minutes
- C.204.8 minutes
- D.6.4 minutes
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2.A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 8 cm and the height of the cone is equal to its radius. Find, in terms of π, the volume of the solid.
- A.256π cm³
- B.512π/3 cm³
- C.1024π/3 cm³
- D.512π cm³
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3.Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. What is the diameter of each sphere?
- A.4 cm
- B.3 cm
- C.2 cm
- D.6 cm
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4.Find the volume and total surface area of a cone having slant height 17 cm and radius of the base 15 cm. (Take π = 3.14) Which of the following correctly represents the volume and total surface area of the cone?
- A.Volume = 1884 cm³; Total surface area = 1507.2 cm²
- B.Volume = 2826 cm³; Total surface area = 1256 cm²
- C.Volume = 1256 cm³; Total surface area = 1884 cm²
- D.Volume = 1507.2 cm³; Total surface area = 1884 cm²
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5.A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of the same radius. If the total height of the toy is 15.5 cm, what is the total surface area of the toy? Use π = 22/7.
- A.173.25 cm²
- B.214.5 cm²
- C.256.75 cm²
- D.297 cm²
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