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Johns Hopkins University High School Math Tourname
http://www.math.jhu.edu/%7Emathclub/tourney.html
Conceived in 1998 by Chirag B. Patel, it is one of the largest math competitions for high school students on the Eastern Coast of the USA.
University of Maryland Math Competition
http://www.math.umd.edu/highschool/mathcomp/
Open to all high school students in Maryland and the District of Columbia, with past results, problems and solutions.