Maths Full Practice Exam – Set 3 (Class 10)

What this worksheet covers

This is a 50-question practice worksheet on full practice exam — set 3 for Class 10, written to the pattern of the SOF International Mathematics Olympiad (IMO). It carries 60 marks and is designed to be attempted in 60 minutes, split across four sections — Section 1 — Logical Reasoning, Section 2 — Mathematical Reasoning, Section 3 — Everyday Mathematics 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 full practice exam — set 3 at Class 10 level
• Working accurately against a time limit, as the real paper demands
• Section 1 — Logical Reasoning questions in the olympiad format
• Section 2 — Mathematical Reasoning questions in the olympiad format
• Section 3 — Everyday Mathematics 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 50 questions in this paper. All questions are compulsory.
2. 2Each question has four options (A), (B), (C) and (D). Exactly one option is correct.
3. 3Questions 1–45 carry 1 mark each. Questions 46–50 (Achievers Section) carry 3 marks each.
4. 4There is no negative marking. Use of a calculator is not allowed.
5. 5Take π = 22/7 wherever it is needed. Rough work may be done in the space at the side of each page.

Sample questions from this worksheet

A preview of what's inside Maths Full Practice Exam – Set 3 (Class 10) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. What comes next in the series? 1, 8, 27, 64, ____

   • A81
   • B100
   • C125correct
   • D216
   Solution: The terms are the cubes 1³, 2³, 3³, 4³, so the next is 5³ = 125.

2. 2. Which of the following is an irrational number?

   • A√11correct
   • B√9
   • C√4
   • D√16
   Solution: √4 = 2, √9 = 3 and √16 = 4 are whole numbers. Since 11 is not a perfect square, √11 cannot be written as a ratio of integers and is irrational.

3. 3. An army contingent of 616 members is to march behind a band of 32 members, with both groups in the same number of columns. The maximum number of columns is _______.

   • A4
   • B8correct
   • C14
   • D16
   Solution: The number of columns must divide both 616 and 32, and be as large as possible, so it is HCF(616, 32). Since 616 = 2³ × 7 × 11 and 32 = 2⁵, the HCF is 2³ = 8.