MOEMS (Mathematical Olympiad for Elementary and Middle Schools) grades 4-8
MathCounts - grades 6-8
AMC (American Math Competition - includes AMC8, AMC10, AMC12, AIME and USAMO)middle school through high school
Mathleague - middle school through high school
ARML (American Regions Math League)high school
Rocket City Math League - middle school through high school
MathKangaroo - grades 2-12
The Mandelbrot Competition - generally high school
USA Mathematics Talent Search - generally high school
Continental Math - grades 2-12
Purple Comet Math - middle school through high school
Online Math League
State Math Contests