Students who perform exceptionally well on the AMC 10/12 are invited to continue participating in the series of examinations that culminate in the International Mathematical Olympiad (IMO). This event is 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. Each answer is an integer number between 0 to 999. The questions on the AIME are much more difficult than those on the AMC 10 and AMC 12 contests. Problems on the AIME can be solved without calculus.

The AIME is intended to provide challenge beyond those of the AMC 10 or AMC 12 contests, to high school students who have exceptional mathematical ability. Two versions of the AIME are given on two different dates in March. Unlike the AMC 10/12, a student can only take the AIME once, and is encouraged to do so on the first date possible. There is no additional registration fee for the American Invitational Mathematics Examination, unless you must sit for the contest on the second date.

The top scoring U. S. citizens and students studying 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 without calculus. 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 studying 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 in the International Mathematical Olympiad (IMO). Full days of classes and problem sets on the IMO give students thorough preparation in several important areas of mathematics which are traditionally emphasized. Participants are invited to attend this free program based on the results of the USAMO. The top 12 students are invited to attend along with non-seniors from the next 15-16 highest scoring participants. Depending on available funding, AMC may invite additional groups of promising students.

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 100 nations.

The International Mathematical Olympiad (IMO) is a two day math competition held each summer. Participating countries send teams of up to six students, a team leader, one deputy leader, and observers. A 4.5 hour, 3 question essay exam is given each day. For more information on the IMO, please visit the IMO's website at www.imo-official.org

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, students visit local points of interest in the host city and interact informally with the team members from the other participating countries.