Many math kids enjoy the stimulating problems of math competitions.
Just remember: Some kids thrive in competitive settings, but competition success doesn't define a math kid. A math kid is simply a kid who loves math.
engaging middle school students of all ability and interest levels in fun, challenging math programs
AMC 8, AMC 10, AIME, USAMO
In the Bay Area, ARML participation is open to all interested students.
a free competition open to all United States middle and high school students.
Bay Area Math Competitions
three annual exams in late February for students and teachers
hosts a fall "mini" tournament for elementary and middle school students and spring tournament for high school students
run by Stanford students in collaboration with Rice University and Johns Hopkins University.
an extensive list from the Art of Problem Solving