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IMO Sample Papers for Practice (With Solutions)

IMO Sample Papers 2025-26: If you're preparing for the International Mathematics Olympiad (IMO), practicing with sample papers is one of the most effective ways to boost your confidence and improve your performance. The IMO is organized by the Science Olympiad Foundation (SOF) and targets students from Class 1 to Class 12. This blog provides a comprehensive guide to the best IMO sample papers, their benefits, and how students can utilize them for maximum gains.

Why Practice IMO Sample Papers?

Practicing sample papers is not just about solving problems—it is about developing the right strategy. Here are some benefits:

  • Familiarity with Exam Pattern: Sample papers mimic the actual Olympiad pattern, helping students get accustomed to the format.
  • Time Management: Solving within the time limit helps develop speed and accuracy.
  • Self-Assessment: Students can assess their strengths and weaknesses.
  • Boosts Confidence: Regular practice builds confidence to tackle the main exam.

IMO Sample Paper Pattern (Class-wise Overview)

Here is a quick overview of the exam pattern for various classes:

Class

Logical Reasoning

Mathematical Reasoning

Everyday Mathematics

Achievers Section

Total Questions

Total Marks

1st to 4th

10

10

10

5

35

40

5th to 12th

15

20

10

5

50

60

IMO Sample Paper for Class 1

The IMO Sample Paper for Class 1 is designed to introduce young learners to the basics of logical reasoning and mathematical concepts in a fun and engaging way. These papers help Class 1 students get familiar with the Olympiad exam format, question types, and time management techniques to build confidence early in their academic journey.

IMO Sample Paper for Class 1 Download PDF

IMO Sample Paper for Class 2

IMO Sample Paper for Class 2 provides a structured approach to understanding number operations, shapes, patterns, and logical reasoning. Practicing with these sample papers enables students to sharpen their problem-solving skills and gain better insight into the exam pattern, improving their chances of performing well.

IMO Sample Paper for Class 2 Download PDF

IMO Sample Paper for Class 3

The IMO Sample Paper for Class 3 includes slightly more advanced topics like multiplication, division, geometry, and data handling. It offers young students a preview of the types of questions asked in the exam, helping them build speed and accuracy through regular practice.

IMO Sample Paper for Class 3 Download PDF

IMO Sample Paper for Class 4

With the IMO Sample Paper for Class 4, students get the opportunity to enhance their grasp on mathematical fundamentals such as factors, multiples, and advanced patterns. These sample papers provide a realistic testing experience and encourage logical thinking from an early stage.

IMO Sample Paper for Class 4 Download PDF

IMO Sample Paper for Class 5

The IMO Sample Paper for Class 5 is designed to test a student's understanding of concepts like fractions, decimals, measurements, and data interpretation. Regular practice of sample papers ensures students are well-versed with the exam structure and helps improve their analytical abilities.

IMO Sample Paper for Class 5 Download PDF

IMO Sample Paper for Class 6

IMO Sample Paper for Class 6 bridges elementary and middle school mathematics. It covers a wider range of topics like integers, algebraic expressions, and geometry. These sample papers serve as an excellent tool to practice high-quality questions and enhance Olympiad preparation.

IMO Sample Paper for Class 6 Download PDF

IMO Sample Paper for Class 7

Class 7 IMO Sample Papers challenge students with problems based on topics such as linear equations, angles, and mensuration. These sample papers are ideal for evaluating a student’s problem-solving strategy and conceptual understanding before the actual exam.

IMO Sample Paper for Class 7 Download PDF

IMO Sample Paper for Class 8

The IMO Sample Paper for Class 8 includes questions that focus on exponents, square roots, rational numbers, and graphs. Practicing these helps students improve logical skills and mathematical precision necessary for scoring well in the Olympiad.

IMO Sample Paper for Class 8 Download PDF

IMO Sample Paper for Class 9

Class 9 IMO Sample Papers are tailored to match the complexity of topics like polynomials, probability, coordinate geometry, and statistics. These sample tests help students get accustomed to higher-order thinking questions and develop the speed required to complete the exam effectively.

IMO Sample Paper for Class 9 Download PDF

IMO Sample Paper for Class 10

The IMO Sample Paper for Class 10 is an essential resource for students preparing for advanced mathematical problems such as quadratic equations, trigonometry, and arithmetic progressions. These papers simulate the actual exam experience and highlight areas that need focused improvement.

IMO Sample Paper for Class 10 Download PDF

IMO Sample Paper for Class 11

IMO Sample Papers for Class 11 focus on core topics such as sets, relations, functions, permutations, and calculus. These papers serve as a great practice medium for science stream students aspiring to build a strong foundation in mathematics for future competitive exams.

IMO Sample Paper for Class 11 Download PDF

IMO Sample Paper for Class 12

For Class 12 students, IMO Sample Papers provide a comprehensive assessment of topics like integrals, vectors, probability, and differential equations. Solving these papers enhances both speed and accuracy, preparing students to excel in the Olympiad and other entrance-level mathematics exams.

IMO Sample Paper for Class 12 Download PDF

What Do IMO Sample Papers Contain?

Each sample paper is designed in line with the actual SOF IMO syllabus. Here's what you can expect:

  • Chapter-wise Questions: Based on NCERT/CBSE/ICSE syllabus.
  • Answer Keys: Correct answers to all questions.
  • Detailed Solutions: Step-by-step explanations.
  • OMR Sheets: For realistic exam practice.
  • Time Tracking Columns: To monitor solving time.

Where to Get IMO Sample Papers With Solutions?

You can access sample papers from the following platforms:

  • SOF Official Website: https://sofworld.org
  • MTG Books: Available online on Amazon, Flipkart, and MTG official website.
  • Arihant Publications: Offers detailed practice papers with solutions.
  • Oswaal Books: Known for structured explanations.
  • Olympiad Helper: Paid and free PDF downloads available.

Tips to Use IMO Sample Papers Effectively

  1. Start Early: Begin practicing 2-3 months before the exam.
  2. Create a Schedule: Allocate time slots to solve papers weekly.
  3. Analyze Mistakes: Review errors to identify weak areas.
  4. Use Timer: Simulate real exam conditions.
  5. Revise Concepts: Use the solutions to brush up on concepts.

Sample IMO Question & Solution (Class 6 Example)

Q: If 3x - 5 = 16, what is the value of x?
A:

  • Step 1: Add 5 to both sides: 3x = 21
  • Step 2: Divide by 3: x = 7

Answer: x = 7

Conclusion

Practicing IMO sample papers with solutions is a tried-and-tested way to prepare for the exam with greater clarity and precision. With ample resources available both online and offline, students should take full advantage of these tools to secure top ranks.

For best results, integrate these papers into your regular study routine and keep practicing consistently. Whether you are in Class 1 or Class 12, sample papers can be your greatest ally in cracking the IMO 2025-26!

IMO Sample Papers for Practice (With Solutions) FAQs

Q1. What are IMO sample papers and why are they important for students?
Ans: IMO sample papers are practice question sets designed based on the latest International Mathematics Olympiad (IMO) exam pattern. These papers help students get familiar with the type of questions asked, difficulty level, and time management strategies, ultimately boosting their confidence and preparation.

Q2. Are IMO sample papers available with solutions?
Ans: Yes, IMO sample papers are available with detailed solutions. These solutions help students understand the correct approach to solving each question and improve their conceptual clarity in various mathematical topics.

Q3. How can solving IMO sample papers improve exam performance?
Ans: Practicing IMO sample papers regularly helps students identify their strengths and weaknesses, improve accuracy, enhance speed, and build familiarity with the exam format. This practice ultimately results in better performance during the actual Olympiad exam.

Q4. Where can I find class-wise IMO sample papers for free?
Ans: Class-wise IMO sample papers can be found on the official SOF website, educational platforms, and Olympiad preparation sites. These are often provided in PDF format with solutions for easy download and practice.

Q5. How many sample papers should a student solve before the IMO exam?
Ans: It is recommended that students solve at least 4–5 full-length sample papers for their class along with additional practice from topic-wise questions. This helps in strengthening weak areas and builds the stamina required to complete the paper within the given time.

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