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.

Sample questions

1. 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
2. 2.How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter?
   • A.1859 bullets
   • B.2541 bullets
   • C.3080 bullets
   • D.880 bullets
3. 3.Assertion: Total surface area of the cylinder having radius of the base $14 \text{ cm}$ and height $30 \text{ cm}$ is $3872 \text{ cm}^2$ Reason: If $r$ be the radius and $h$ be the height of the cylinder, then total surface area $= (2\pi r h + 2\pi r^2)$. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.
   • a.Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
   • b.Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
   • c.Assertion (A) is true but reason (R) is false.
   • d.Assertion (A) is false but reason (R) is true.
4. 4.A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2·5 cm and height 8 cm. Calculate the number of cones recast.
5. 5.A conical tent is to accommodate 77 persons, with each person requiring 16 m³ of air. Given the radius of the tent is 7 m, what is the height of the tent?
   • A.18 m
   • B.21 m
   • C.24 m
   • D.30 m