Math competition books
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.
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-NYSML 1989-1994 (see ARML).
- 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.