INMO Syllabus 2026: Exam Structure & Selection Process

The INMO Exam Syllabus 2026 is structured to test students, conceptual clarity, logical reasoning, and advanced problem-solving skills in mathematics. Designed for the next level exam for students aiming to reach the International Mathematical Olympiad (IMO) stage, the syllabus focuses on building strong fundamentals while preparing qualified candidates for high-level competitive exams.

INMO exam syllabus based on the class-wise pattern allows students to develop their concepts systematically. Syllabus given for INMO is based on school-level math, but it is more advanced and allows students to demonstrate creative approaches.

What is next level after qualified INMO Exam 2026 ?

Qualified candidates through the INMO Exam will attend the International Mathematical Olympiad Training Camp. Students get advanced mentoring during this intensive training program. After the training camp is over, six top-performing candidates are sent to represent India in the next stage for International Mathematical Olympiad ( IMO ).

Purpose of INMO Olympiad Syllabus 2026

The prime aim of INMO Olympiad Syllabus 2026 is to help math talents estimate, enhance, and hone their academic skills at a national scale. It not only prepares students for INMO but for other upcoming challenges in competitive exams too."

Aspirants have been given a comprehensive class-wise syllabus for INMO. This will help them cover all major subjects. It is pertinent to mention that the important portions have been emphasized in the syllabus. This helps students focus on important concepts that fetch high marks

Download INMO Admit Card 2026

Candidates appearing for the INMO Exam 2026 can download the INMO admit card 2026 or hall ticket through the official website after the release of the admit card by HBCSE. The INMO admit card/hall ticket is a must-have for the students to get entrance into the examination room and also Contains information like date of examination, time, address, and personal details of the students.

INMO Syllabus 2026, Check Exam Pattern & Study Tips

INMO Syllabus 2026: The Indian National Mathematical Olympiad (INMO) is one of the most prestigious exams for students passionate about mathematics in India. It serves as the third stage in the selection process for the International Mathematical Olympiad (IMO) and is conducted by the Homi Bhabha Centre for Science Education (HBCSE) under the National Board for Higher Mathematics (NBHM). To excel in this highly competitive exam, a thorough understanding of the INMO syllabus is essential.

Here, we will take an in-depth look at the INMO Syllabus 2026 and provide tips and strategies for effective preparation. We will cover key topics, important sections, and weightage while focusing on the unique aspects of the INMO exam.

INMO 2026 Syllabus Overview

The Indian National Mathematical Olympiad (INMO) is aimed at students who excel in mathematics and wish to compete at the international level. Conducted annually in January, the INMO is the gateway to the International Mathematical Olympiad Training Camp (IMOTC), where the top performers are trained to represent India in the International Mathematical Olympiad (IMO).

The INMO syllabus is advanced, requiring in-depth knowledge of higher-level mathematics concepts. It primarily covers five major topics: Algebra, Geometry, Number Theory, Combinatorics, and Inequalities.

INMO Exam 2026 Details

The INMO Exam 2026 date will be officially declared by the Homi Bhabha Centre for Science Education (HBCSE) on its official website. The date of Indian National Mathematical Olympiad(INMO) is normally in the month of January. Students are advised to keep monitoring official updates for obtaining information about exam date and timing of Olympiads. After declaration of dates, candidates need to schedule planning according to it.

Download INMO Eligibility Criteria PDF

INMO Exam Pattern

Understanding the exam pattern is crucial for your preparation. The INMO is typically a subjective test, which requires students to solve problems and write detailed proofs. The exam consists of around 6-8 questions that need to be answered within a time limit of 4 hours. These questions are designed to test a student’s problem-solving abilities and logical reasoning skills.

• Total Questions: 6-8 problems
• Duration: 4 hours
• Marks: No fixed marks per question; each question is equally important (Total Marks: 102)
• Type of Questions: Subjective, requiring proof-based solutions
• There are no multiple-choice questions.
• The answers need to have elaborate logical reasoning and mathematical proof.

The difficulty level of the questions in INMO is significantly higher than that of the previous stages, such as the Regional Mathematical Olympiad (RMO) and Pre-Regional Mathematical Olympiad (PRMO). Mastery of each topic covered in the INMO syllabus is essential for success.

Key Topics in the INMO Syllabus

Algebra: Algebra is a significant part of the INMO syllabus. It includes a variety of complex problems ranging from polynomials to equations. The problems in this section require a strong foundation in mathematical logic and problem-solving techniques.

Algebra Key Areas of Focus:

• Polynomials and their properties
• Solving higher-degree equations
• Functional equations
• Sequences and series
• Complex numbers
• Symmetric sums

Geometry: Geometry plays a pivotal role in the INMO exam. The questions often involve proving theorems or solving problems using Euclidean geometry concepts.

Geometry Key Areas of Focus:

• Classical Euclidean geometry
• Triangles and circles
• Similarity and congruence of figures
• Geometrical transformations (like homothety, inversion)
• Cyclic quadrilaterals

Geometry problems in INMO often require creative thinking and the ability to visualize and solve complex problems.

Number Theory: Number Theory is another fundamental topic in the INMO syllabus. It involves the study of integers and their properties. Questions can range from basic divisibility rules to complex Diophantine equations.

Number Theory Key Areas of Focus:

• Divisibility and prime numbers
• Modular arithmetic
• Diophantine equations
• Congruences
• Euler’s theorem
• Pythagorean triples

Number theory questions in the INMO require strong analytical thinking and deep conceptual knowledge.

Combinatorics: Combinatorics, the study of counting, arrangement, and combination, forms an important part of the INMO syllabus. It is one of the most challenging sections as it often involves solving problems using various strategies and methodologies.

Combinatorics Key Areas of Focus:

• Permutations and combinations
• Pigeonhole principle
• Binomial theorem
• Recurrence relations
• Inclusion-exclusion principle
• Graph theory

The combinatorics section requires a lot of practice and creativity to solve the given problems effectively.

Inequalities: Inequalities are an integral part of the INMO syllabus. These questions are tricky and require in-depth knowledge of mathematical inequalities and their applications.

Inequalities Key Areas of Focus:

• Basic inequality theorems (e.g., AM-GM inequality, Cauchy-Schwarz inequality)
• Applications of inequalities in problem-solving
• Solving inequality-based problems
• Jensen's inequality
• Muirhead's inequality

Mastering inequalities is essential for success in INMO, as they form a part of several advanced problems.

INMO Preparation Strategy

Preparing for INMO requires a mix of conceptual understanding, problem-solving skills, and rigorous practice. Here’s a step-by-step guide to help you prepare effectively:

• Understand the Syllabus: Start by thoroughly going through the Indian National Mathematical Olympiad syllabus and identifying the key areas you need to work on.
• Build Strong Foundations: Strengthen your basics in Algebra, Geometry, Number Theory, and Combinatorics.
• Practice Proof Writing: Since INMO is a subjective exam, practice writing detailed proofs and logical explanations for your solutions.
• Solve Advanced Problems: Regularly solve problems from previous year INMO papers, advanced Olympiad problem sets, and books.
• Time Management: Time yourself while solving problems to simulate exam conditions and improve your time management skills.
• Focus on Weak Areas: Identify your weak areas and work on them systematically.
• Join Olympiad Coaching: If possible, join specialized coaching for Olympiad preparation to receive expert guidance.

Recommended Study Material for Indian National Mathematical Olympiad

To crack the INMO, you need to refer to advanced study material beyond standard textbooks. Here are some recommended books and resources:

• Books:
  • Problems in Elementary Number Theory by Titu Andreescu
  • Geometry Revisited by H.S.M. Coxeter
  • An Excursion in Mathematics by M.R. Modak
  • Mathematical Olympiad Challenges by Titu Andreescu and Razvan Gelca
• Websites:
  • Art of Problem Solving (AoPS)
  • Brilliant.org
  • HBCSE Olympiad Resources
• Previous Year INMO Papers: Solving past papers is one of the best ways to understand the type of questions that appear in the exam.

Time Management Tips for INMO Preparation

Here are some tips to manage your time efficiently during Indian National Mathematical Olympiad preparation:

• Create a Study Schedule: Dedicate time to each topic based on its weightage and difficulty level.
• Break Down Problems: If a problem seems complex, break it down into smaller parts and solve each part systematically.
• Avoid Procrastination: Stick to your study plan and avoid distractions.
• Regular Breaks: Take short breaks between study sessions to refresh your mind.
• Track Your Progress: Keep track of the topics you have covered and revisit them periodically.

The Indian National Mathematical Olympiad Syllabus 2024-25 is challenging but rewarding for students who are passionate about mathematics. With the right preparation strategy, practice, and dedication, you can excel in this prestigious exam. Focus on building strong foundations in key topics such as Algebra, Geometry, Number Theory, Combinatorics, and Inequalities, and regularly practice solving advanced problems. Stay consistent, and success in INMO will be within your reach!

INMO Syllabus FAQs

Q1. What is the difficulty level of the INMO exam?

Answer: The INMO exam is highly challenging and requires an advanced understanding of mathematical concepts. The problems are designed to test analytical thinking and problem-solving skills.

Q2. How many hours should I study for INMO preparation?

Answer: The amount of study time varies for each student. However, a consistent effort of 4-6 hours of focused study each day, with ample time for revision and practice, is recommended.

Q3. Can I rely solely on NCERT books for INMO preparation?

Answer: NCERT books provide a basic understanding, but they are not enough for INMO preparation. You will need to refer to advanced resources and solve Olympiad-level problems.

Q4. When should I start preparing for INMO?

Answer: Ideally, you should start your preparation at least 1-2 years before the INMO exam. This will give you enough time to cover the syllabus and practice problems.

Q5. Are coaching classes necessary for INMO?

Answer: Coaching classes are not mandatory, but they can be helpful for structured learning and expert guidance.