The USA Mathematical Talent Search (USAMTS) is a free mathematics competition open to all United States middle and high school students.
The first round of problems for this year are now available right here and are due by 8pm EST on 10/17.
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. No group work. The USAMTS is run on the honor system – it is an individual competition, whose competitive role is very secondary. (Although we do give prizes.)