SMO Open – Selected topics
12 topics built from Singapore Mathematical Olympiad (SMO) Open Section papers 2005–2026, Round 1 and Round 2: key ideas with pictures, 60 fully worked examples, real practice questions and a 15-question, 30-minute Mock for every topic.
Algebraic expressions, radicals, exponents and logarithms
Equations, systems and word problems
Polynomials, functional equations and sequences
Inequalities, extreme values and the integer part
Divisibility, remainders and digits
Primes, divisors, perfect squares and integer equations
Triangles, similarity and lengths
Areas, coordinates and vectors
Circles, tangents and cyclic quadrilaterals
Combinatorics: games, invariants and the pigeonhole principle