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The American Invitational Mathematics Examination (AIME) is a selective and prestigious 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10. Two different versions of the test ...
The American Mathematics Competitions (AMCs) are the first of a series of competitions in secondary school mathematics sponsored by the Mathematical Association of America (MAA) that determine the United States of America's team for the International Mathematical Olympiad (IMO). The selection process takes place over the course of roughly five ...
American Mathematics Contest 8 (AMC->8), formerly the American Junior High School Mathematics Examination (AJHSME) Math League (grades 4–12) MATHCOUNTS; Mathematical Olympiads for Elementary and Middle Schools (MOEMS) Noetic Learning math contest (grades 2-8) Pi Math Contest (for elementary, middle and high school students)
The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.
The USAMO was created in 1972 at the initiative of Nura D. Turner and Samuel L. Greitzer, [5] [6] [7] and served as the next round to the AHSME until 1982. In 1983, the American Invitational Mathematics Examination was introduced as a bridge between the AHSME and USAMO.
In the United States, the team is selected through a year-long process, starting with the American Mathematics Competitions (AMC) consisting of 25 multiple-choice questions in 75 minutes with increasing difficulty, with high-scoring individuals from the Year 10 (AMC10) and 12 (AMC12) divisions admitted into the American Invitational Mathematics ...
In earlier years, the twelve questions were worth one point each, with no partial credit given. The competition is considered to be very difficult: it is typically attempted by students specializing in mathematics, but the median score is usually zero or one point out of 120 possible, and there have been only five perfect scores as of 2021.
Individual results and team answers were then sent back to the contest coordinators. The most notable aspects of the Mandelbrot competition were the difficulty of the problems (much like the American Mathematics Competition and harder American Invitational Mathematics Examination problems) and the proof-based team round.