RMO — Regional Mathematics Olympiad

Competition mathematics for the Regional (and Pre-RMO) Olympiad — Number Theory, Algebra, Combinatorics, and Geometry.

Divisibility, primes, congruences, Diophantine equations, and number-theoretic functions

Polynomial roots, factorisation, AM-GM, Cauchy-Schwarz, and algebraic inequalities

Techniques for solving functional equations, substitution strategies, and olympiad-style problems

Pigeonhole principle, inclusion-exclusion, graph theory basics, and combinatorial arguments

Circle theorems, concurrency, collinearity, angle chasing, and triangle centres

Reflections, rotations, inversions, projective techniques, and trigonometric Ceva/Menelaus