Preparing For Contests?

These are books that will help you prepare for the mathematical Olympiad series, which will help you with math competitions in general. Note, this order may or may not apply to you based on your level. Also, these are not the only books! Feel free to suggest any additions you feel are appropriate.

For the AMC 10:

• AoPS Introduction Series

• AoPS Volume 1

• Practice questions from past tests

For the AMC 12:

• AoPS Introduction Series

• AoPS Volume 1, Volume 2

• Practice questions from past tests

For the AIME:

• AoPS Intermediate Series

• AoPS Precalc.

• Challenging Problems in Geometry

• Number Theory a Problem Solving Approach

• Work through practice exams

For questions 13-15 AIME and beginning USA(J)MO:

• Begin Art and Craft of Problem Solving

• Geometry Revisited

• Begin Problem Solving Strategies

• Begin improving proofwriting skills by doing 1,4 USAMO

• Work on National Olympiads of similar difficulty

• National Olympiads from other countries can be found here: National Olympiads

For the entire USAMO:

• Art and Craft of Problem Solving

• Geometry Revisited

• Projective Geometry (book)

• Non- Euclidean Geometry (book)

• Generatingfunctionology

• 101, 102, 103, and 104 From the training of the US Olympiad Team

• Work through all USAMO problems and TST(ST) and IMO problems

A great way to prepare for contests (really, any contest in general) is doing past problems. These will give you a "feel" for the problems.

Here are AMC Series Problems and Solutions.