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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.
American High School Mathematics Examination 30 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.
American Mathematics Contest 10 (AMC10) American Mathematics Contest 12 (AMC12), formerly the American High School Mathematics Examination (AHSME) American Regions Mathematics League (ARML) Harvard-MIT Mathematics Tournament (HMMT) iTest; High School Mathematical Contest in Modeling (HiMCM) Math League (grades 4–12) Math-O-Vision (grades 9–12)
The contest organizers state that, "HMMT, arguably one of the most difficult math competitions in the United States, is geared toward students who can comfortably and confidently solve 6 to 8 problems correctly on the American Invitational Mathematics Examination (AIME)."
Math Field Day for San Diego Middle Schools; Mesa Day Math Contest at UC Berkeley; Santa Barbara County Math Superbowl; Pomona College Mathematical Talent Search; Redwood Empire Mathematics Tournament hosted by Humboldt State (middle and high school) San Diego Math League and San Diego Math Olympiad hosted by the San Diego Math Circle
In the United States, the tests include the American Mathematics Competitions, the American Invitational Mathematics Examination, and the United States of America Junior Mathematical Olympiad/United States of America Mathematical Olympiad, each of which is a competition in its own right.
The USAMO was created in 1972 at the initiative of Nura D. Turner and Samuel L. Greitzer, [5] [6] [7] and served as the next round to the AHSME until 1982. In 1983, the American Invitational Mathematics Examination was introduced as a bridge between the AHSME and USAMO.
The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities).