How to get from zero to Olympiad level in maths, using self-study

Reaching Olympiad level in mathematics through self-study is challenging but absolutely possible with the right strategy, discipline, and resources. Olympiad math is not just about formulas; it’s about creative problem-solving, logical thinking, and deep understanding of concepts. Here’s a step-by-step roadmap.

1. Build a Strong Foundation

• Start with NCERT Mathematics (Classes 6–12). They cover basics of algebra, geometry, number theory, and combinatorics.
• Solve NCERT Exemplar Problems to train yourself in non-routine problem solving.
• Use R.D. Sharma / R.S. Aggarwal for strengthening calculation speed and problem practice.

2. Move to Olympiad-Level Books

Once you’re comfortable with school-level math, gradually shift to advanced Olympiad Books:

• Challenges and Thrills of Pre-College Mathematics – Venkatachala
• An Excursion in Mathematics – Bhaskaracharya Pratishthana
• Problem Solving Strategies – Arthur Engel
• Mathematical Olympiad Challenges – Titu Andreescu
• Mathematical Circles – Fomin, Genkin, Itenberg

These books teach you to think like a problem solver, not just apply formulas.

3. Learn the Four Pillars of Olympiad Mathematics

Olympiad math mainly tests these areas:

1. Algebra – Polynomials, inequalities, functional equations
2. Geometry – Constructions, circles, advanced theorems
3. Number Theory – Modular arithmetic, primes, divisibility
4. Combinatorics – Counting principles, graph theory, probability

Dedicate weekly time to each pillar to balance your preparation.

4. Solve Past Papers and Mock Tests

• Attempt previous years’ RMO, INMO, IMO papers to understand question patterns.
• Start with one problem a day, then build stamina for 3–4 hours of problem-solving practice.
• Analyze solutions carefully — learning how to approach a problem is more valuable than just getting the answer.

5. Use Online Platforms and Communities

• Art of Problem Solving (AoPS): Huge library of Olympiad-level problems with discussions.
• Brilliant.org: Conceptual courses for self-learners.
• HBCSE (official Indian Olympiad body): For authentic resources and past papers.
• Join math forums or Discord groups to interact with peers and discuss problems.

6. Create a Study Routine

• Start with 1–2 hours daily if you are a beginner.
• Increase gradually to 3–4 hours of focused problem-solving.
• Keep a “problem diary”: note tough problems, mistakes, and theorems you learn.
• Review old problems periodically — revisiting is key to mastery.

7. Develop the Olympiad Mindset

• Be patient: Olympiad problems often take hours to solve.
• Focus on thinking process, not just final answers.
• Treat failure as learning. Every unsolved problem is an opportunity to discover new methods.

To get from zero to Olympiad level in math with self-study, start with solid basics (NCERT + Exemplar), move on to advanced Olympiad books, practice past papers regularly, and engage with online problem-solving communities. With consistency, curiosity, and a growth mindset, even a complete beginner can rise to Olympiad standards.