North Suburban Math League
http://nsml.org/
Team event - up to 41 students. 5 problems per grade level, plus oral contest
5 weeknight meets per year
ICTM State Math Contest
http://www.ictm.org/links/contest.html
Team or individuals. Several different events at all grade levels
2 Saturdays - regional in late February, State in late April or early May
American Mathematics Competitions (AMC)
http://www.unl.edu/amc/
Individuals - 25 question multiple-choice exam. 2 levels
70 minute exam. Later rounds require more time for those who qualify
Chicago ARML Teams
http://chicagoarml.org/
Individuals tryout for teams. Teams compete in 4 different events. (For more advanced students)
Tryouts - 1 weeknight. Practices - 4 weeknights. Contest - one weekend
ARML Power and ARML Local
http://www.arml.com/
Team events. Power involves written solutions and proofs to themed question (For more advanced students)
Power - 2 1-hour contests during year. Local - one Saturday contest.
Mandelbrot Contests
http://web.mandelbrot.org/
Individual contest and team contests. Short problems/proofs. (For intermediate to advanced students)
Individual - 5 40-minute tests throughout year. Team - 3 one-hour tests throughout year.
Illinois Math League
http://www.mathleague.com/
Individual contests. 6 problems per test.
6 short tests throughout the year.
American Scholastic Math Association
http://www.asan.com/asa/asma1.htm
Individual contests. Similar to Illinois Math League
6 short tests throughout the year.
Purple Comet online math contest
http://purplecomet.org/
Teams of 4 students solve 25 problems.
One 90-minute test in the spring
Mathematical Contest in Modeling
http://www.comap.com/highschool/contests.himcm/index.html
Teams of 4 students create mathematical model for real-world problem (For more advanced students)
36-hour contest
USA Mathematical Talent Search
http://www.usamts.org/
Individual problem sets (For more advanced students)
For students to register and do on their own
National Assessments and Testing
http://www.natassessment.com/
Various team and individual contests
4 hour-long contests, 1 week-long collaborative effort