Competition Math

Learn AIME Problem Solving

The next rung up: integer-answer problems (000–999) that call for CRT, recursion, higher Vieta, length-bashing, and expected value. Every problem is original and style-faithful, with verified answers.

Free to start · adaptive placement finds your level · reviews timed to your own forgetting.

What you'll learn

30 lessons in AIME Problem Solving

The AIME answer formatChinese remainder & congruencesRecursion & state countingHigher Vieta & Newton's sumsLength & power bashingExpected value & probabilityDivisors, factorials & valuationsMixed AIME setLaw of cosines/sines bashingCeva, Menelaus & mass pointsGenerating functionsInclusion–exclusion at depthRoots of unitySymmetric functions of rootsTrig identities & evaluationLogarithm manipulationBase representations & digit problemsFloor functions & counting multiplesEuler's theorem & the last three digitsMultiplicative order & the period of powersExpected value by conditioningThe hockey-stick identityCounting by bijectionCounting up to rotationPick's theoremComplex numbers as rotationCoordinate bashingCyclic quadrilaterals & angle chasingCounting pairs by gcd and lcmChoosing the right modulus
How Erudia teaches

Built to be understood — and remembered.

Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the day its model predicts you would forget it. A short placement check finds what you already know, so you start AIME Problem Solving exactly where it's useful.

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