American Invitational Mathematics Examination - Format and Scoring

Format and Scoring

The exam consists of 15 questions, 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:

Year Students
sitting
Mean
score
Median
score
Students with
perfect scores
2006 22764 2.741 - 4
2005 12476 2.717 2 1
1999 11945 2.195 2 4
2003 13444 3.059 3 3

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.

During the 1990s it was not uncommon for fewer than 2,000 students to qualify for the AIME, although 1994 was a notable exception where 99 students achieved perfect scores on the AHSME and the list of high scorers, which usually was distributed in small pamphlets, had to be distributed several months late in thick newspaper bundles.

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