The NAT Fall startup is a contest primarily focused on speed, with 100 questions to be solved in 30 minutes. It covers a very broad range of math topics, from basic computation to calculus, and will take place on Thursday, September 28th this year.

The NAT Team Scramble is a collaborative contest, with everyone working on 100 problems together in 30 minutes. This test also covers a very broad range of math topics. It will take place on Thursday, November 2nd this year.

The NAT Ciphering Time Trials is an individual contest with 10 rounds, each round having 3 problems to be solved in 3 minutes. Each round will contain both easy and difficult problems in a variety of math topics. It will take place on Thursday, December 7th this year.

The NAT Four by Four is a contest with 10 rounds, each round having 4 problems to be solved by a team of 4 students in 3 minutes. Again, each round will contain both easy and difficult problems in a variety of topics. It will take place on Thursday, February 1st this year.

The Berkeley Math Tournament is hosted every year at UC Berkeley. There are 4 rounds: the power round (solve math problems and write proofs on a new, generally research-oriented topic), team round, focus round (analysis, discrete, geometry), and individual (variety of topics) round. It takes place around March every year, but the exact date has not yet been announced - check back soon!

The Harvard MIT Mathematics Tournament is hosted twice a year, once at MIT, and once at Harvard. There are 3 rounds: the individual tests (variety of topics), team round, and guts round (multiple sets of several questions at a time). It will be held on November 11th at Harvard and February 10th at MIT.

The Caltech-Harvey Mudd Math Competition will have four rounds: the team round, individual round, mixer round (format TBA), and tiebreaker round (if necessary). It will be held in late November at Harvey Mudd this year.

The AMC 10 and AMC 12 are the largest contests of the year. They both consist of 25 multiple choice questions to be solved in 75 minutes. The AMC 10 is for 10th graders and below, and covers topics up to algebra and geometry, while the AMC 12 is for 12th graders and below and covers up to precalculus. They will be held once on February 7th (the "A" date), and a second time on February 15th (the "B" date).

The American Invitational Mathematics Examination (AIME) is a 15 question short answer invitational exam. Participants of the AMC 10/12 who score very well (exact cutoff score to be determined) are invited to take the AIME on March 6th or 21st. The test covers topics up to precalculus.

The Mandlebrot Competition consists of 5 separate rounds, each with 7 short answer questions valued at various point levels. It covers non-calculus topics, such as algebra, geometry, exponents, probability, number theory, and inequalities. Each round lasts 40 minutes. The first round will take place in the beginning of October.

The Purple Comet math competition is an online team contest. It lasts 90 minutes and consists of 30 math problems on a variety of topics. It will take place April 10th through 19th.

Who Wants to Be a Mathematician is a multi-round competition. There are two rounds of qualifying tests conducted online, each with 10 questions. The first round will take place sometime between September 11th-25th. It covers a variety of topics, including a trivia / history question.