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the AMC 10, for students under the age of 17.5 and in grades 10 and below; the AMC 12, for students under the age of 19.5 and in grades 12 and below [2] The AMC 8 tests mathematics through the 8th grade curriculum. [1] Similarly, the AMC 10 and AMC 12 test mathematics through the 10th and 12th grade curriculum, respectively. [2]
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. Two different versions of the test ...
Students who take ONLY the AMC 10 test, whether AMC 10 A or AMC 10 B or both, will NOT be eligible for the USAMO regardless of their score on the AMC 10 or the AIME. 5. The approximately 260-270 individual students with the top AMC 12 based USAMO indices will be invited to take the USAMO.
10 Hard Math Problems That Even the Smartest People in the World Can’t Crack. Dave Linkletter. December 24, 2023 at 10:00 AM ... But lacking a solution to the Riemann Hypothesis is a major setback.
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)
Prizes are also awarded to students with outstanding solutions in individual rounds. Further, after the third round, given a high enough score, a student may qualify to take the AIME exam even without qualifying through the AMC 10 or 12 competitions.
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The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.