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 would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?
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2.The total surface area of a right circular cone of slant height 13 cm is 90π cm². Calculate: (i) its radius in cm. (ii) its volume in cm³. [Take π = 3.14].
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3.The circumference of the base of a 12 m high conical tent is 66 m. Find the volume of the air contained in it.
- A.1386 m³
- B.462 m³
- C.2772 m³
- D.693 m³
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4.Spherical marbles of diameter 1.4 cm are dropped into a beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. How many marbles have been dropped in it if the water rises by 5.6 cm?
- A.50
- B.150
- C.100
- D.200
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5.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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