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SMO Junior – Selected topics

12 topics built from Singapore Mathematical Olympiad (SMO) Junior 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, identities and radicals

Equations, systems and word problems

Polynomials, Vieta's formulas and sequences

Inequalities, extreme values and the integer part

Divisibility, remainders and last digits

Digits and number construction

Primes, divisors, perfect squares and integer equations

Angles, triangles and lengths

Areas, area ratios and coordinates

Circles, tangents and inscribed angles

Counting and probability

Logic, games and the pigeonhole principle

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