Deconstructing AIME - levels of difficulty, topics, pacing, maximizing your score. An introduction to the exam and the skills that need to be trained.

Lesson 1: Divisibility, Factoring, Repunits, Perfect Squares, Alterations of Digits, Sums and Products of Integers
Lesson 2: Sets, Recursive Sequences, Telescoping Sums and Products, Diophantine Equations
Lesson 3: More Diophantine Equations
Lesson 4: Algebra of Polynomials
Lesson 5: Trigonometric Equations, Sums, Products
Lesson 6: Complex Numbers, Cyclotomic Equations, Cubic Roots of Unity, Properties of the Cubic Roots
Lesson 7: Pascal's Triangle, Combinations, Identities with Combinations, Combinatorial Sums, Binomial Theorem
Lesson 8: Solid Geometry, Identities and Inequalities
Lesson 9: Non-standard Exponential and Logarithmic Equations, Inequalities
Lesson 10: Exponential Diophantine Equations, Functional Equations, Advanced Counting

These lessons are at a higher level of difficulty than our AMC10 and AMC12 lessons even though the topics are, naturally, extensions of the same syllabus.