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INMO Exam Syllabus 2026-27: Complete Topic-wise Guide

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INMO 2026-27 Syllabus: Topics, Exam Pattern & FREE PDF Download

The Indian National Mathematical Olympiad (INMO) is a highly competitive exam that tests deep conceptual understanding and creative problem-solving skills. To help you prepare effectively, we’ve provided the complete INMO exam syllabus 2026-27 in a clear, topic-wise format. 


This page covers the detailed INMO syllabus and pattern across Algebra, Geometry, Combinatorics, and Number Theory, along with an option to download the INMO syllabus PDF for quick revision and structured preparation. 


Prepare for INMO with Olympiad Math Mastery Level 8

Students who want structured support for higher Olympiad stages can add a guided course section to this page.


Recommended Course for INMO

S. No

Grade

Course

1

Grade 8 - 12 ( IOQM Qualifier )

Olympiad Math Mastery Level 8

INMO Exam Syllabus 2026-27 – Overview

The INMO exam syllabus is built around four major branches of mathematics: Algebra, Geometry, Combinatorics, and Number Theory. While many topics overlap with school-level math, INMO problems go much deeper and require strong logical reasoning and proof-writing skills.


The table below gives a topic-wise INMO syllabus 2026-27, so you can clearly see what to study in each section and plan your preparation accordingly


Complete INMO 2026 Syllabus: Detailed Topics Breakdown

Section

Topics

Algebra

  • Inequalities, Progressions (A.P., G.P., H.P.), 

  • Theory of Indices, 

  • System of Linear Equations, 

  • Theory of Equations, 

  • Binomial Theorem, 

  • Complex Numbers, 

  • Polynomials (in one and two variables), 

  • Functional Equations, Sequences

Geometry

  • Triangles, Quadrilaterals, 

  • Circles and their properties, 

  • Standard Euclidean Constructions, 

  • Concurrency and Collinearity (Ceva’s Theorem, Menelaus’ Theorem), 

  • Trigonometric Identities, 

  • Compound Angles, 

  • Multiple and Submultiple Angles, 

  • General Solutions, 

  • Sine Rule, 

  • Cosine Rule, 

  • Coordinate Geometry (Straight lines, Circles, Conics, 3-D Geometry), 

  • Vectors

Combinatorics

  • Basic Enumeration, 

  • Pigeonhole Principle and Its Applications, 

  • Recursion, 

  • Elementary Graph Theory

Number Theory

  • Divisibility Theory (Division Algorithm, GCD, Euclidean Algorithm),

  • Diophantine Equations (ax + by = c), 

  • Fundamental Theorem of Arithmetic, 

  • Linear Congruences, 

  • Chinese Remainder Theorem, 

  • Fermat’s Little Theorem, 

  • Wilson’s Theorem, 

  • Euler’s Phi Function, 

  • Pythagorean Triples, 

  • Diophantine Equations


How to Download INMO 2026–27 Syllabus PDF

  1. Open the Vedantu INMO Syllabus Page in your browser.


  1. Scroll down to find the syllabus content listed in sections like Algebra, Geometry, Combinatorics, and Number Theory.


  1. Look for a "Download PDF" button on the page. It is usually located near the introduction or syllabus table.


  1. Click the "Download PDF" button to download the syllabus in PDF format.


 If you don’t find the download button, you can manually save the page as a PDF by using your browser's "Save as PDF" option.


INMO 2026-27 Exam Structure

Aspect

Details

Exam Duration

4.5 Hours

Number of Questions

6 Proof-based Questions

Marks per Question

17 Marks

Total Marks

102 Marks

Mode of Exam

Offline (Pen and Paper)

Question Type

Subjective, Detailed Step-by-Step Solutions


INMO 2026-27 Preparation Tips

  1. Master the Syllabus: Focus on the key areas of Algebra, Geometry, Combinatorics, and Number Theory. Ensure you are familiar with advanced topics and their application in problem-solving.


  1. Practice with Past Papers: Regularly solving past INMO papers will help you get a feel for the question format and difficulty level.


  1. Understand the Concepts: The INMO exam places heavy emphasis on conceptual clarity. Simply memorising formulas won’t be enough. You need to understand the reasoning behind each problem.


  1. Time Management: Practice managing your time during the exam. The 4.5-hour exam requires students to solve all six problems, and time management is crucial.


  1. Step-by-Step Reasoning: Ensure that every solution you write is clear, well-structured, and mathematically rigorous. 


Conclusion

The INMO exam syllabus 2026-27 gives you a clear roadmap across Algebra, Geometry, Combinatorics, and Number Theory. Focus on understanding concepts deeply, practising past papers, and writing clear, step-by-step solutions. For quick revision, use the INMO syllabus PDF as a handy checklist during your preparation.

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FAQs on INMO Exam Syllabus 2026-27: Complete Topic-wise Guide

1. What is the INMO Exam?

The Indian National Mathematical Olympiad (INMO) is a prestigious national-level competition organised by the Homi Bhabha Centre for Science Education (HBCSE). It serves as one of the final stages for selecting India’s team for the International Mathematical Olympiad (IMO).

2. What topics are covered in the INMO 2026-27 syllabus?

The INMO syllabus is divided into four major sections:

  • Algebra: Inequalities, progressions (A.P., G.P., H.P.), systems of linear equations, binomial theorem, complex numbers, functional equations, sequences, and more.

  • Geometry: Triangles, quadrilaterals, circles, Euclidean constructions, trigonometry, coordinate geometry, and vectors.

  • Combinatorics: Basic enumeration, pigeonhole principle, recursion, graph theory.

  • Number Theory: Divisibility, Diophantine equations, congruences, Fermat's Little Theorem, Chinese Remainder Theorem, and more.

3. How can I download the INMO 2026-27 syllabus PDF?

To download the INMO syllabus PDF:

  1. Visit the Vedantu INMO Syllabus page.

  2. Scroll down to the syllabus section.

  3. Look for the "Download PDF" button near the introduction or syllabus table.

  4. Click to download the syllabus PDF or use your browser’s "Save as PDF" option if the button is not visible.

4. What is the INMO 2026-27 exam pattern?

  • Duration: 4.5 hours

  • Number of Questions: 6 proof-based questions

  • Marks per Question: 17 marks

  • Total Marks: 102 marks

  • Mode: Offline (Pen and Paper)

  • Question Type: Subjective, requiring detailed, step-by-step solutions.

5. How do I prepare for the INMO exam?

  • Master the Syllabus: Focus on Algebra, Geometry, Combinatorics, and Number Theory.

  • Practice Past Papers: Solve previous INMO question papers to get a sense of the exam format and difficulty level.

  • Understand the Concepts: Focus on deep conceptual understanding rather than memorisation.

  • Time Management: Practice solving problems within the 4.5-hour limit.

  • Write Step-by-Step Solutions: Ensure all your solutions are well-structured and mathematically rigorous.

6. Is INMO harder than school exams?

Yes, the INMO exam is significantly harder than school exams. It is designed to test advanced problem-solving skills and mathematical reasoning, often requiring proofs and a deep understanding of concepts beyond standard school mathematics.

7. Can I qualify for INMO if I haven’t cleared the RMO?

No, students must first qualify through the Regional Mathematical Olympiad (RMO) to be eligible for the INMO. The RMO serves as a prerequisite for the INMO.

8. How can I download past INMO question papers?

You can find past INMO question papers and solutions on the HBCSE website or search for resources on educational platforms like Vedantu, where they may offer these papers for practice.

9. Is there any specific book I can refer to for INMO preparation?

Some useful books for INMO preparation are:

  • Problem-Solving Strategies by Arthur Engel

  • Higher Algebra by Hall and Knight

  • Inequalities by Hardy, Wright, and Wright

  • Mathematical Olympiad Problems by Titu Andreescu

10. How is the INMO selection process conducted?

Selection for the INMO is based on performance in the Regional Mathematical Olympiad (RMO). Students who clear RMO are eligible to sit for INMO. After INMO, selected candidates are invited to the International Mathematical Olympiad Training Camp (IMOTC), and six top candidates are chosen to represent India at the International Mathematical Olympiad (IMO).