ICSE Class 10

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

  1. 1.The surface area of a sphere is $2464 \mathrm{ cm}^2$, find its volume.
  2. 2.If the radius of the sphere is increased by $100\%$, the volume of the corresponding sphere is increased by
    • a.$200\%$
    • b.$500\%$
    • c.$700\%$
    • d.$800\%$
  3. 3.The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
  4. 4.There is water to a height of 16 cm in a cylindrical glass jar of radius 12.5 cm. Inside the water, there is a sphere of diameter 15 cm, completely immersed. By what height will water go down, when the sphere is removed?
  5. 5.The radius of a roller $100\mathrm{cm}$ long is $14\mathrm{cm}$. The curved surface area of the roller is: $\left(\mathrm{Take} \, \pi = \frac{22}{7}\right)$
    • a.$13,200\mathrm{cm}^2$
    • b.$15,400\mathrm{cm}^2$
    • c.$4,400\mathrm{cm}^2$
    • d.$8,800\mathrm{cm}^2$

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