AIME

AIME
Name	AIME
Established	1983
Type	Competition
Administered by	Mathematical Association of America
Related	American Invitational Mathematics Examination, American Mathematics Competitions, USA Mathematical Olympiad

AIME The American Invitational Mathematics Examination is a selective mathematics competition for high school students in the United States and abroad. It functions as an intermediary contest between preliminary contests like the AMC 10 and AMC 12 and elite national selections such as the USA Mathematical Olympiad and the United States of America Mathematical Olympiad (USAMO). Top performers on the examination often appear alongside participants in international programs like the International Mathematical Olympiad, Mathematical Olympiad Summer Program, and national teams from countries such as China, Russia, India, and United Kingdom.

Overview

The examination is administered by the Mathematical Association of America in coordination with organizations including the American Mathematics Competitions program and sponsors from institutions such as Art of Problem Solving and university departments at Harvard University, Princeton University, Stanford University, and Massachusetts Institute of Technology. It targets students who score highly on the AMC 10 or AMC 12 and serves as a feeder into the USAMO and the United States of America Junior Mathematical Olympiad (USAJMO). The format emphasizes problem-solving skills akin to those tested at the International Mathematical Olympiad and regional contests like the Asian Pacific Mathematics Olympiad and the European Girls' Mathematical Olympiad.

History

The examination originated in 1983 amid efforts by the Mathematical Association of America and figures associated with programs at Princeton University, University of California, Berkeley, and Carnegie Mellon University to create a middle-tier contest between the AMC series and the USAMO. Early contributors included coaches and coordinators from national training initiatives linked to institutions like Stanford University and Harvard University. Over decades the exam influenced pipelines that produced winners in competitions such as the International Mathematical Olympiad, recipients of awards like the Fields Medal, Abel Prize, and national honors associated with universities including University of Cambridge and University of Oxford.

Format and Content

The contest consists of 15 problems administered in a timed format with numerical-answer questions, historically delivered in rooms similar to those used by regional contests such as the Putnam Competition and selection tests for programs at Massachusetts Institute of Technology and California Institute of Technology. Problems draw on topics prominent in contest literature from authors and mentors connected to Art of Problem Solving, textbooks used at École Normale Supérieure, and problem databases curated by organizations like the Mathematical Association of America and national training camps run by universities including University of Texas at Austin and Yale University. Content areas frequently include combinatorics problems reminiscent of challenges in the Baltic Way, number theory that echo themes in the IMO Shortlisted Problems, and geometry problems studied by coaches from programs at Columbia University and University of Chicago.

Scoring and Qualification

Scoring is based on integer answers with partial credit not awarded; historically, correct answers receive full credit and incorrect or blank answers yield zero, shaping cutoff policies for advancement to the USAMO and USAJMO. Qualification thresholds are set annually by committees involving representatives from the Mathematical Association of America and regional coordinators from universities such as Brown University and Duke University. Scores and cutoffs determine invitations to national training programs including the Mathematical Olympiad Summer Program and selection processes that produce teams for the International Mathematical Olympiad and other international contests like the International Zhautykov Olympiad.

Notable Problems and Solutions

Problems from past examinations have been discussed and solved by prominent problem solvers and educators associated with Art of Problem Solving, coaches who later mentored IMO medalists from China, Russia, and United States, and authors of contest books published by teams at Princeton University Press and Cambridge University Press. Some problems have become classics in contest circles similar to famous challenges from the Putnam Competition and the IMO, sparking published analyses in journals linked to the Mathematical Association of America and online expositions by contributors from institutions such as Harvard University, Stanford University, and Princeton University.

Impact and Recognition

The examination is a cornerstone of the U.S. mathematical talent-identification pipeline, influencing selections for the USA Mathematical Olympiad, the Mathematical Olympiad Summer Program, and eventual representation at the International Mathematical Olympiad. Alumni have gone on to careers and honors connected to institutions such as Harvard University, Massachusetts Institute of Technology, Stanford University, and awards like the Fields Medal, Abel Prize, and membership in academies including the National Academy of Sciences. The contest is frequently cited in discussions of secondary-school mathematical enrichment alongside programs such as the European Girls' Mathematical Olympiad and national competitions in countries including India, Russia, and China.

Category:Mathematics competitions