2020-21 Round 3 Problems and Round 2 Solutions are now available. Participants are welcome even if they did not complete Rounds 1 or 2.
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The USA Mathematical Talent Search (USAMTS) is a free mathematics competition open to all United States middle and high school students.
As opposed to most mathematics competitions, the USAMTS allows students a full month, or more, to work out their solutions. Carefully written justifications are required for each problem. The problems range in difficulty from being within the reach of most high school students to challenging the best students in the nation. Students may use any materials - books, calculators, computers - but all the work must be their own. The USAMTS is run on the honor system - it is an individual competition, whose competitive role is very secondary. (Although we do give prizes.)
Student solutions to the USAMTS problems are graded by mathematicians and comments are returned to the students. Our goal is to help all students develop their problem solving skills, improve their technical writing abilities, and mature mathematically while having fun. We wish to foster not only insight, ingenuity and creativity, but also the virtue of perseverance, which is equally essential in scientific endeavors.
Click on one of the links on the left side of the page to learn more about the USAMTS, view current or past problems, or to register (for free!) for the contest. Also, please join the mailing list to stay informed about the USAMTS.