American Invitational Mathematics Examination

The American Invitational Mathematics Examination (AIME) is a 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics contest (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10.

The AIME is the second of two tests used to determine qualification for the United States of America Mathematical Olympiad (USAMO), the first being the AMC.

The use of calculators is not allowed on the test.

The exam consists of 15 questions of increasing difficulty, where each answer is an integer between 0 and 999 inclusive. Thus the test effectively removes the element of chance afforded by a multiple-choice test while preserving the ease of automated grading; answers are entered onto an OMR sheet, similar to the way grid-in math questions are answered on the SAT.

Concepts typically covered on the exam include topics in elementary algebra, geometry, trigonometry, as well as number theory, probability, and combinatorics. Many of these concepts are not directly covered in typical high school mathematics courses; thus, participants often turn to supplementary resources to prepare for the exam.

One point is earned for each correct answer, and no points are deducted for incorrect answers. No partial credit is given. Thus AIME scores are integers from 0 to 15 inclusive.

Some recent results are:

A student's score on the AIME is used in combination with their score on the AMC to determine eligibility for the USAMO. A student's score on the AMC is added to 10 times his/her score on the AIME. In 2006, the cutoff for eligibility in the USAMO was 217 combined points.

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