PRMO — Pre-Regional Math Olympiad

Competition mathematics for Classes VIII–XII. Practise Number Theory, Algebra, Combinatorics, and Geometry.

Divisibility rules, prime numbers, GCD, LCM, and the fundamental theorem of arithmetic

Congruences, Fermat's little theorem, Chinese remainder theorem, and number bases

Roots, Vieta's formulas, polynomial identities, and factorisation

AM-GM, Cauchy-Schwarz, triangle inequality, and optimisation problems

Multiplication principle, addition principle, inclusion-exclusion, and pigeonhole

Arrangements, selections, binomial theorem, and Pascal's triangle

Congruence, similarity, angle in a circle, tangents, and power of a point

Distance, midpoint, slopes, conic sections, and loci