Mensuration Statistics and Probability (Class 10)

What this worksheet covers

This is an eighteen-question practice worksheet on mensuration, statistics and probability for Class 10, written to the pattern of the SOF International Mathematics Olympiad (IMO). It carries 24 marks and is designed to be attempted in 45 minutes, split across three sections — Mathematical Reasoning, Everyday Mathematics and Reasoning and Achievers Section. Every question is multiple choice with exactly one correct option, and every one comes with a fully worked solution rather than just an answer key — so a child who gets one wrong can see where the reasoning went astray instead of only learning that it did.

Skills your child practises

• Applied problem-solving on mensuration, statistics and probability at Class 10 level
• Working accurately against a time limit, as the real paper demands
• Mathematical Reasoning questions in the olympiad format
• Everyday Mathematics and Reasoning questions in the olympiad format
• Achievers Section questions in the olympiad format
• Reading worked solutions to find the step that went wrong

How to use it

1. 1There are 18 questions in this worksheet. All questions are compulsory.
2. 2Each question has four options (A), (B), (C) and (D). Exactly one option is correct.
3. 3Questions 1–15 carry 1 mark each. Questions 16–18 (Achievers Section) carry 3 marks each.
4. 4Take π = 22/7 wherever it is needed. There is no negative marking.
5. 5Figures are not drawn to scale unless stated. Rough work may be done at the side of each page.

Sample questions from this worksheet

A preview of what's inside Mensuration Statistics and Probability (Class 10) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. The area of a circle of radius r is _______.

   • Aπr²correct
   • B2πr
   • Cπd
   • D{4/3}πr³
   Solution: The area enclosed by a circle is πr². The expression 2πr is its circumference, a length rather than an area.

2. 2. The area of a circle of radius 7 cm is _______.

   • A44 cm²
   • B154 cm²correct
   • C308 cm²
   • D49 cm²
   Solution: Area = πr² = {22/7} × 7 × 7 = 22 × 7 = 154 cm². (44 cm would be its circumference.)

3. 3. A solid metal sphere of radius 6 cm is melted and drawn into a cylindrical wire of radius 0.2 cm. The length of the wire is _______.

   • A72 mcorrect
   • B36 m
   • C144 m
   • D720 m
   Solution: The sphere’s volume is {4/3}π(6)³ = 288π cm³, and the wire is a cylinder of volume π(0.2)²L = 0.04πL. Equating, L = {288/0.04} = 7200 cm = 72 m.