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.The given solid is in the form of a cylinder with hemispherical ends, as shown in the diagram:
. The total height of the solid is $19 \text{ cm}$ and the diameter of the cylinder is $7 \text{ cm}$. Which labeled part of the diagram represents the cylindrical portion of the solid?- A.The two curved ends combined
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2.A vessel full of water is in the form of an inverted cone of height 8 cm and the radius of its top, which is open, is 5 cm. 100 spherical lead balls are dropped into the vessel. One-fourth of the water flows out of the vessel. What is the radius of each spherical ball?
- A.0.25 cm
- B.0.5 cm
- C.0.75 cm
- D.1 cm
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3.A block of wood of size 20 cm × 10 cm × 10 cm is shown below. A cone of maximum volume is carved out of it. Which labelled dimension corresponds to the height of the cone?
- A.10 cm
- B.20 cm
- C.5 cm
- D.15 cm
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4.A cylindrical vessel of height 24 cm and diameter 40 cm is full of water. Find the exact number of small cylindrical bottles, each of height 10 cm and diameter 8 cm, which can be filled with this water.
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5.Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.
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