Utah Mathematical Olympiad

Resources

We recommend the following articles, books, websites, and contests.

Articles:

How to Write a Solution
Dealing With Hard Problems

Books:

The Art and Craft of Problem Solving by Paul Zeitz
The Art of Problem Solving series
Countdown by Steve Olson
Geometry Revisited by H. S. M. Coxeter and Samuel L. Greitzer
Mathematical Circles (Russian Experience) by Dmitri Fomin, Sergey Genkin, Ilia V. Itenberg

Websites:

www.artofproblemsolving.com
www.cut-the-knot.org

Contests:

AMC, AIME, and USA(J)MO series
ARML (American Regions Math League)
The Mandelbrot Competition (on hiatus until July 2017)