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.The base radii of a cone and a cylinder are equal. If their curved surface areas are also equal, then what is the ratio of the slant height of the cone to the height of the cylinder?
- A.2
- B.3
- C.4
- D.1/2
-
2.The given block is made of two solids: a cone and a hemisphere. If the height and the base-radius of the cone are 24 cm and 10 cm respectively and the diameter of the hemisphere is 10 cm; find the total surface area of the block. (Take π = 3·14)
-
3.Volume of a cylinder of height $3\mathrm{cm}$ is $48\pi$. Radius of the cylinder is:
- a.$48\mathrm{cm}$
- b.$16\mathrm{cm}$
- c.$4\mathrm{cm}$
- d.$24\mathrm{cm}$
-
4.The volume of a conical tent is $462\mathrm{m}^3$ and the area of base is $154\mathrm{m}^2$. The height of the cone is:
- a.$15\mathrm{m}$
- b.$12\mathrm{m}$
- c.$9\mathrm{m}$
- d.$24\mathrm{m}$
-
5.A solid metallic sphere is melted and recast into smaller cones of radius 3.5 cm and height 3 cm. If the radius of the original sphere is 10.5 cm, find the number of cones obtained.
- A.84
- B.126
- C.168
- D.210
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test