Math competition books
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These math competition books are collections of problems for specific individual mathematics competitions. Compilations of problems at a single level from multiple competitions can be found in the math books page or elsewhere. Note that Art of Problem Solving books, while not devoted specifically to contest problem solving, contain scores of problems from the contests listed below, as well as others, and are great preparation for those contests.
Elementary school
- Math Olympiads for Elementary and Middle Schools (MOEMS) publishes two excellent contest problem books.
Middle school
- MathCounts books -- Practice problems at all levels from the MathCounts competition.
- Math Olympiads for Elementary and Middle Schools (MOEMS) publishes two excellent contest problem books.
- Contest Problem Books from the AMC.
- More Mathematical Challenges by Tony Gardiner. Over 150 problems from the UK Junior Mathematical Olympiad, for students ages 11-15.
High school
- ARML books:
- The Mandelbrot competition has two problem books for sale at AoPS.
Olympiad
- USAMO 1972-1986 -- Problems from the United States of America Mathematics Olympiad.
- The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004
Collegiate
- Three Putnam competition books are available at AoPS.
