Math contest preparation

Contests
Each country typically has its own set of contests. For high school, these usually include one national Mathematics Olympiad and one or more qualifier contests intended to help select students to invite to the national Olympiad. The top six students of every country are then invited to participate in the International Mathematics Olympiad (IMO).

List of contests
In the United States:

Middle School
 * Math Superbowl - A math contest for students in 4th, 5th and 6th grade


 * MathCounts - A national middle school math contest


 * AMC 8 - The American Mathematics Contest for students in 8th grade and below


 * Purple Comet

High School


 * AMC 10 - The American Mathematics Contest for students in 10th grade and below


 * AMC 12 - The American Mathematics Contest for students in 12th grade and below


 * AIME - The American Invitational Mathematics Examination, qualified for through the AMC 10/12


 * USAMO - The United States of America Mathematics Olympiad, qualified through the AIME and the AMC  10/12

Undergraduate


 * Putnam - A contest based on high school mathematics as well as first year calculus and algebra

More Listings:

http://k12mathcontests.wikispaces.com/

http://homeschoolmathcontests.com/

Books
There are many problem solving books available for students. The list is broken up into three levels by difficulty. Most of these books can be purchased online.

Math Contest Books

Beginner
Art of Problem Solving, Volume 1, by Richard Rusczyk

To practice math facts - KENKEN squares challenge you to think spatially while practicing math facts. www.kenken.com

Intermediate
Art of Problem Solving, Volume 2, by Richard Rusczyk

The Art and Craft of Problem Solving, by Paul Zeitz

Advanced
Problem-Solving through Problems, by Loren C. Larson

Problem Solving Strategies, by Arthur Engel

Problems
http://www.mathinee.com

http://www.aplusclick.com/grade15.htm

Online Help
http://www.khanacademy.org/

http://www.edugain.com

http://www.artofproblemsolving.com

http://www.totalgadha.com