How to self-study math from basic to advance for Olympiad

Preparing for Math Olympiads through self-study is absolutely possible if you follow a structured path. The key is to build strong basics, gradually take on advanced concepts, and keep practicing challenging problems.

Strengthen your basics first

• Start with your NCERT textbooks (Class 8–12) because Olympiad questions are built on strong fundamentals.
• Focus on number systems, algebra, geometry, trigonometry, and basic combinatorics.
• Make sure you can solve school-level problems quickly and accurately.

Use the right Olympiad resources

• Books like Challenge and Thrill of Pre-College Mathematics by Venkatachala or Problems in Elementary Mathematics by I.M. Gelfand are highly recommended.
• Past RMO, INMO, IMO problem papers are a goldmine for practice.
• Online platforms like Art of Problem Solving (AoPS) or Indian Olympiad archives provide structured problem sets.

Move step by step to advanced topics

• After basics, learn higher-level areas like inequalities, number theory, advanced geometry, combinatorics, and functional equations.
• Do not just read solutions—try to solve problems on your own first.
• Maintain a notebook of mistakes and new methods; reviewing it regularly helps improve problem-solving skills.

Build a daily practice routine

• Dedicate at least 1–2 hours daily to problem-solving.
• Mix easy, moderate, and challenging problems in your schedule.
• Set weekly targets—for example, finish a chapter in algebra and attempt 20–30 related Olympiad-level problems.

Simulate exam conditions

• Solve past Olympiad papers in a timed environment to build speed and accuracy.
• Learn to write complete, step-by-step solutions because Olympiads also test your presentation of mathematics.

Stay consistent and motivated

• Olympiad preparation is a long journey; patience is essential.
• Join online discussion forums (like AoPS or Indian Olympiad groups) to compare approaches and clear doubts.
• Treat every tough problem as an opportunity to learn a new technique rather than a failure.

To self-study math for Olympiads, start with NCERT basics, gradually progress to advanced problem-solving, use standard Olympiad books, and practice past papers regularly. With consistent effort and the right resources, you can move from basic mathematics to tackling Olympiad-level challenges confidently.