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 solid metallic sphere of diameter 16 cm is melted and recast into smaller solid cones, each of radius 4 cm and height 8 cm. How many cones are formed?
- A.8
- B.12
- C.16
- D.24
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2.A cone of maximum volume is carved out of a block of wood of size $20\mathrm{cm} \times 10\mathrm{cm} \times 10\mathrm{cm}$. Find the volume of the cone carved out, correct to one decimal place.
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3.A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
- A.7 cm
- B.14 cm
- C.21 cm
- D.28 cm
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4.From a right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same radius is cut-out. Find the total surface area of the remaining solid.
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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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