The American Invitational Mathematics Examination began
in March 1983 to "provide additional recognition and challenge
to the best mathematics students, at most a few thousand
of them, in the U.S.A. and Canada." The exam is given by
invitation only - a student must be on the Student Honor Roll
of the A.H.S.M.E. to be invited to participate. The exam
consists of 15 extremely difficult problems and a time limit
of three hours.
The A.I.M.E. is the second in the pyramid of three
mathematics examinations given by the Committee on the
American Mathematics Competitions that lead to the
designation of Winners of the USA Mathematical Olympiad and
the selection of an International Mathematical Olympiad team.
The first test is the A.H.S.M.E. Students scoring 100 or
more are then invited to take the A.I.M.E. Students who do
well on both of these examinations are then invited to
participate in the USA Mathematics Olympiad. Only 150
students in the country are invited to participate in the
U.S.A.M.O. Six students are then selected to the USA Math
Olympiad Team. They train in the summer for the
International Math Olympiad.