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AIME

11 topics · study sheets, quizzes, and tests.

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Go through each topic step by step, with 10 timed practice problems after every section.

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Final Test (30) Big Test (50) Print the course (PDF)Suggest a problem

Topics

1.

Advanced Number Theory

CRT, orders, and totients

StudyQuizUnit Test
2.

Advanced Counting

Recursion, expectation, and the binomial theorem

StudyQuizUnit Test
3.

Polynomials

Newton and the roots-of-unity filter

StudyQuizUnit Test
4.

Geometry: Coordinates & Complex

Analytic and complex methods

StudyQuizUnit Test
5.

Cevians & Mass Points

Ratio-chasing: Ceva, Menelaus, masses, and areas

StudyQuizUnit Test
6.

Trig Formulas That Win

The identities contest problems are built from

StudyQuizUnit Test
7.

Recurrences & Characteristic Equations

Closed forms for linear recursions

StudyQuizUnit Test
8.

Telescoping & Recursion

Sums that collapse and sequences that build

StudyQuizUnit Test
9.

Heavy Machinery, Proved

Stewart, Ptolemy, and roots of unity — with their proofs

StudyQuizUnit Test
10.

Complete Syllabus & Gap Fillers

Everything the AIME tests, with the pieces that were missing

StudyQuizUnit Test
11.

Formulas & Methods

The AIME toolkit: every formula, and the method that makes it a solution

StudyQuizUnit Test