Maths Full Practice Exam – Set 2 (Class 10)

What this worksheet covers

This is a 50-question practice worksheet on full practice exam — set 2 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 2 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 2 (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? 2, 5, 10, 17, 26, ____

   • A35
   • B36
   • C37correct
   • D38
   Solution: Each term is one more than a perfect square: 1²+1, 2²+1, 3²+1, 4²+1, 5²+1. The next is 6²+1 = 37. (The differences 3, 5, 7, 9, 11 give the same answer.)

2. 2. When a positive integer a is divided by 5, the remainder r can take the values _______.

   • A1, 2, 3, 4
   • B1, 2, 3, 4, 5
   • C0, 1, 2, 3, 4, 5
   • D0, 1, 2, 3, 4correct
   Solution: By the division algorithm a = 5q + r with 0 ≤ r < 5, so the remainder is one of 0, 1, 2, 3, 4. A remainder of 5 would mean the quotient was too small.

3. 3. Three warning lights flash at intervals of 15, 20 and 25 seconds. If they flash together at 8:00:00 a.m., they will next flash together after _______.

   • A5 minutescorrect
   • B3 minutes
   • C10 minutes
   • D15 minutes
   Solution: They coincide after LCM(15, 20, 25) seconds. Since 15 = 3 × 5, 20 = 2² × 5 and 25 = 5², the LCM is 2² × 3 × 5² = 300 seconds, that is 5 minutes.