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1. U.S. citizens and students residing in the United States and Canada (with qualifying scores) are eligible to take the USAMO and USAJMO. 2. Selection to the USAMO will be based on the USAMO index which is defined as AMC 12 Score + 10 * AIME Score.
Students qualify for the program by scoring highly on the United States of America Mathematical Olympiad (USAMO) or United States of America Junior Mathematical Olympiad (USAJMO). Before 2012, the top twelve American scorers from all grades formed the "black" group.
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.
AIME introduced in 1983, now is a middle step between AHSME and USAMO. AJHSME, now AMC 8, introduced in 1985 2000–present American Mathematics Competition 25 -5 Questions AHSME split into AMC10 and AMC12 A&B versions introduced in 2002. USAMO split into USAJMO and USAMO in 2010.
If they score high enough in the COMC(normally 70+), they will be invited to write the Canadian Mathematics Olympiad (CMO), Asian Pacific Mathematics Olympiad (APMO), and unofficially write the USAMO. The students with the top scores (conditions permitting) will make the Canadian team and travel to the location of the IMO in that year.
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