Indian National Mathematical Olympiad (INMO) Syllabus
The Indian National Mathematical Olympiad (INMO) is the most competitive exam held in India, this exam is operated and managed by Homi Bhabha Centre for Science Education (HBCSE), Mumbai. This is the final exam in India to select participants for IMO – International Math Olympiad.
Below find the INMO syllabus for reference –
| Algebra |
| Properties of integers |
| Polynomials and their roots |
| Functional equations |
| Systems of equations and inequalities |
| Arithmetic and geometric progressions |
| Inequalities and their applications |
| Number Theory |
| Divisibility and modular arithmetic |
| Diophantine equations |
| Prime numbers and their properties |
| Congruences and residues |
| Quadratic residues |
| Geometry |
| Euclidean geometry |
| Properties of triangles, quadrilaterals, circles |
| Geometric transformations |
| Coordinate geometry |
| Trigonometry in geometrical problems |
| Combinatorics |
| Counting techniques: permutations, combinations |
| Binomial coefficients |
| Pigeonhole principle |
| Principle of inclusion and exclusion |
| Graph theory basics: paths, cycles, trees |
| Recurrence relations and generating functions |
| Miscellaneous |
| Mathematical induction |
| Basic set theory and operations |
| Basic calculus: limits, derivatives, integrals (basic level) |
| Logic and proof techniques |
Preparation Tips:
- Master Fundamental Concepts: The fundamental concept of Mathematics is important for participants to understand and master for better preparation of INMO.
- Solve Challenging Problems: It is important to solve INMO’s previous year’s problems and participate in Online Olympiad exams like IMO SCO and different Olympiad book resources.
- Proof Writing: Solving reasoning-based mathematics problems, solving mathematics problems from INMO previous year problems.
- Time Management: Mastering time management and precision in problem-solving is the key to excelling in any competitive exam. These skills are crucial for achieving great results.
This is intended to assess participants’ depth of knowledge and problem-solving abilities by applying advanced mathematical concepts and reasoning skills. Students preparing for the INMO should practice by solving questions from previous years’ papers, referring to mathematics resources, seeking guidance from experts, taking online tests (such as SCO IMO), and participating in study groups to further enhance their mathematical capabilities.
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