American Invitational Mathematics Examination

The American Invitational Mathematics Examination (AIME) is a selective 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. Since 2022, the AIME competition has invited those who rank around the top 13-15% on the AMC 12 to qualify for the AIME and invites those who rank around the top 6-8% on the AMC 10.

Two different versions of the test are administered, the AIME I and AIME II. All domestic students are automatically scheduled for the AIME I and can reschedule for AIME II, while international students are scheduled for the AIME II. Qualifying students can only take one of these two competitions. The majority of the students who qualify for the AIME take AIME I.

Additionally, another pathway to qualify for the AIME is through the USAMTS, a free proof based math contest. Students who score at least a 68 out of 75 qualify for the AIME.

The AIME is the second of two tests used to determine qualification for the United States Mathematical Olympiad (USAMO), the first being the AMC or the additional pathway of the USAMTS. If a student qualifies from both competitions, the AMC pathway is used over the USAMTS when calculating the index scores for the cutoff.

The use of calculators is not allowed on the test, with only pencils, erasers, rulers, and compasses permitted.