Indian National Mathematical Olympiad Past Year Papers (2017-2022)

INMO (Indian National Mathematical Olympiad) is the second stage in the IMO (International Mathematics Olympiad). If you clear this stage you will be eligible for IMO training camp at the HBCSE (Homi Bhabha Centre for Science Education). INMO is a four-hour long test that includes 6 questions. Students of Classes 8 to 12 are eligible for this olympiad. You have to solve the questions on paper, including explanations, and proper reasoning. Every year almost 900 students are selected all across India to participate in INMO. Out of these 900, only 35 students are selected for the training camp. 

At askIITians, you can find the past year's papers for INMO and practice for this olympiad. We have provided year-wise papers for INMO for your reference along with their stepwise solutions. Now you can solve all your doubts regarding the past papers immediately. 

Year-wise Past Papers for INMO (Indian National Mathematical Olympiad)
 

Benefits of Past Papers for INMO (Indian National Mathematical Olympiad)

1. Sharpen your skills for INMO: The more questions you will practice for INMO, the more you will be able to sharpen your skills. Solving past papers helps you revise all the concepts that you have studied in the class related to Mathematics. You will understand how to apply those concepts and achieve full marks in the olympiad. 

2. Prepare yourself psychologically for INMO: Many students who participate in olympiads have a slight notion that the olympiad is going to be difficult and they might not be able to answer the questions correctly. But when you solve the past papers, you gain confidence and prepare yourself for the type of questions that appear in the olympiad. 

3. Enhance your time management skills: Time management is crucial for INMO. You have to solve just 6 questions but these 6 questions are of advanced level. As you practise the past papers, you will be able to understand how to manage your time better in the olympiad. 

4. Understand your areas of weaknesses: Solving past papers helps you understand your areas of weaknesses and strengths. This way you will know which topics you have to focus on and which topics you know better. You can also track your progress and gain a sense of accomplishment. 

5. Understand the pattern of the exam: Past year papers familiarise you with the exam pattern and the types of questions asked in the INMO. This makes the idea of appearing in the olympiad less scary. You will also understand how to interpret the language of the questions asked in INMO. 

Frequently Asked Questions 
 

1. Which topics are included in the INMO syllabus?

INMO syllabus includes topics like arithmetic of integers, geometry, quadratic equations and expressions, trigonometry, coordinate geometry, the system of linear equations, permutations and combination, factorization of polynomials, inequalities, elementary combinatorics, probability theory and number theory, finite series, complex numbers, and elementary graph theory. The major areas from which problems are given are algebra, combinatorics, geometry, and number theory. 

2. How many students from Class 12 are chosen for INMO? 

100 Class 12 students are selected for INMO. 500 students in Classes 8 to 11 are selected for INMO. Then, only 30-35 candidates are selected for the IMO training camp. 

3. What is the benefit of giving olympiad exams in India? 

Olympiads not only test your knowledge but help you improve your analytical skills, problem-solving and critical thinking skills. It helps you understand your potential in a subject and gives you a chance to connect with like-minded students from all over the country. 

4. What is the first stage of IMO?

From the 2021-2022 cycle of IMO, the first stage comprises the Indian Olympiad Qualifier in Mathematics (IOQM) (RMO and PRMO are combined to form IOQM). It is a three-hour test that includes numerical answer-type questions where the answer to each question is an integer in the range 00-99.