Students who perform exceptionally well on the AMC 10/12 are invited to continue participating in the series of examinations that culminate in participation in the International Mathematical Olympiad (IMO), the most prestigious and difficult secondary mathematics examination in the world. The AMC administers a series of increasingly selective contests to determine the six member team that will represent the United States of America at the IMO.
The American Invitational Mathematics Examination (AIME) is a 15 question, 3 hour examination in which each answer is an integer number from 0 to 999. The questions on the AIME are much more difficult and students are very unlikely to obtain the correct answer by guessing. As with the AMC 10 and AMC 12, all problems on the AIME can be solved by pre-calculus methods.
The AIME is intended to provide further challenge and recognition, beyond that provided by the AMC 10 or AMC 12, to the many high school students in North America who have exceptional mathematical ability. All students who took the AMC 12 and achieved a score of 100 or more out of a possible 150 or were in the top 5% are invited to take the AIME. All students who took the AMC 10 and had a score of 120 or more out of a possible 150, or were in the top 2.5% also qualify for the AIME. Two versions of the AIME are given on two different dates, about two weeks apart, in late March. Unlike the AMC 10/12, a student can only take the AIME once, and is encouraged to do so on the first date offered. There is no additional registration fee for the American Invitational Mathematics Examination, unless you choose to take the second sitting of the exam.
The top scoring U. S. citizens and students legally residing in the United States and Canada (with qualifying scores, based on a weighted average) are invited to take the USAMO.
The United States of America Mathematical Olympiad (USAMO) and the United States of America Junior Mathematical Olympiad (USAJMO) are six question, two day, 9 hour essay/proof examinations. All problems can be solved with pre-calculus methods. Approximately 270 of the top scoring AMC 12 participants (based on a weighted average of AMC 12 and AIME score) are invited to take the USAMO. Approximately 230 of the top scoring AMC 10 participants (based on a weighted average of AMC 10 and AIME score) are invited to take the USAJMO. The USAMO and USAJMO are given on two consecutive days in late April.
U.S. citizens and students legally residing in the United States and Canada (with qualifying scores) are eligible to take the USAMO and USAJMO.
The Mathematical Olympiad Summer Program (MOSP) is a three-to-four week intensive summer program held immediately after the USAMO Award Ceremony to prepare students for possible participation on the team that will represent the USA at the International Mathematical Olympiad (IMO). Full days of classes and extensive problem sets give students thorough preparation in several important areas of mathematics which are traditionally emphasized more in other countries than in the United States. Participants are invited to attend this free program based on the results of the USAMO. The top 12 students are automatically invited to attend. Non-seniors from the next 15-16 highest scoring participants are also invited. Depending on available funding, AMC may invite additional groups of very promising students who have risen to the top on the American Mathematics Competitions. The six-member team to represent the U.S. at the International Mathematical Olympiad is selected during MOSP.
Immediately following MOSP, the U.S. Team and their adult team leaders travel to the site of the IMO to compete against the most talented high school students from over 90 nations.
The International Mathematical Olympiad (IMO) is a two day math competition held each summer. Participating countries send teams of up to six students. In addition to the students, there is one team leader, one deputy leader, and observers. Each day participants take a 4.5 hour, 3 question essay exam. The participating countries trade off in hosting the event, which in its entirety usually lasts 10- 14 days. For more information on the IMO, please visit the IMO's website at www.imo-official.org
Following the 3-4 week Mathematical Olympiad Summer Program (MOSP), the U.S. Team and the adult leaders travel to the site of the IMO. There, the most talented high school students from over 90 nations compete in an extremely challenging two day examination. The examination is constructed by the leaders of the participating teams from a pool of problems submitted earlier by the invited nations.
During the period of the IMO, the students are entertained by the host nation. In addition to visiting local points of interest in the host city, there is ample opportunity for informal interaction among the team members and leaders and their counterparts from the other participating countries.