- Equations
- Inequalities
- Polynomials
- Functional equations
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Algebra · Geometry · Number Theory · Combinatorics
Master algebra, combinatorics, geometry, and number theory with problems modeled directly on IMO and national Olympiad formats.
Curated resources for Mathematics.
Your library is quiet for now
Study materials will appear here as the Olympiad library grows.
Timed, competition-format papers. Treat each one like the real round.
The official topic areas for the Mathematics Olympiad.
Once you've grabbed the materials, explore how the topics connect and chart your preparation.
Click any node to focus that topic — the library and papers will follow.
Select a topic to focus its materials, or start it to track progress.
A representative problem from Mathematics.
Find all functions f : ℝ → ℝ such that f(x + f(y)) = f(x) + y for every real x and y.
Five stages from first principles to competition day.
Build core concepts from your school syllabus before touching Olympiad-level problems. Focus on accuracy over speed.
Outcome — Confident with fundamentals
Work through Olympiad problems by topic. Start recognising the patterns that sit behind the problems.
Outcome — Topic-level fluency
Tackle multi-concept and proof-based problems. Develop rigorous, competition-grade arguments.
Outcome — Solves hard problems
Attempt full-length past papers under real timing. Build stamina and exam temperament.
Outcome — Exam-ready speed
Final refinement. Light practice, weak-area review, and peak taper before the national round.
Outcome — Compete at nationals
Pick a topic, follow the constellation, and start building toward the Mathematics national round.