**AMC 8**

**What is AMC8? **The AMC 8 is a 25 multiple-choice question, 40 minute test for middle schoolers designed to promote the development and enhancement of problem solving skills. No problems require the use of a calculator, and their use has been banned since 2008.

The AMC 8 is scored based on the number of questions answered correctly only. There is no penalty for getting a question wrong, and each question has equal value. Thus, a student who answers 23 questions correctly and 2 questions incorrectly receives a score of 23. This is not a standardized test; i.e. no school has to take it, but some schools choose to, mainly to encourage growth in mathematics among their students.

**AMC10**

The AMC 10 is part of the series of contests administered by the MAA American Mathematics Competitions that determines the United States team in the International Math Olympiad. The AMC 10 is a 25 question, 75 minute multiple choice test for students in 10th grade or below. Two versions of the AMC 10 are offered each year in February.

**AMC12**

The AMC 12 is part of the series of contests administered by the MAA American Mathematics Competitions that determines the United States team in the International Math Olympiad. The AMC 12 is a 25 question, 75 minute multiple choice test for students in 12th grade or below. Two versions of the AMC 12 are offered each year in February.

**AIME**

The AIME (American Invitational Mathematics Examination) is an intermediate examination between the AMC 10 or AMC 12 and the USAMO. 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.

**USA(J)MO**

The United States of America Mathematical Olympiad (USAMO) is a highly selective high school mathematics competition held annually in the United States. Since its debut in 1972, it has served as the final round of the AMC series of contests. The United States of America Junior Mathematical Olympiad (USAJMO) was introduced in 2010 to recognize top scorers based on their AMC10-based index. Qualifying for the USAMO is considered one of the most prestigious awards for high school students in the United States. Top scorers on the USAMO are invited to the Mathematical Olympiad Summer Program to represent the United States at the International Mathematical Olympiad.

**MOP**

The Mathematical Olympiad Program (abbreviated **MOP**, formerly called the Mathematical Olympiad Summer Program, abbreviated MOSP) is an intensive summer program held at Carnegie Mellon University. The main purpose of MOP, held since 1974, is to select and train the six members of the U.S. team for the International Mathematical Olympiad (IMO). Students qualify for the program by taking the United States of America Mathematical Olympiad (USAMO). The top twelve American scorers from all grades form the “black” group. The approximately eighteen next highest American scorers among students from 11th grade and under form the “blue” group. In 2004, the program was expanded to include approximately thirty of the highest-scoring American freshmen and sophomores each year, the “red” group; this was later split into two, forming the “green” group, which consists of approximately fifteen of the highest-scoring freshmen and sophomores who have qualified through the USAMO, and the “red” group, which consists of those who have qualified through the USAJMO. The colorful designations of these groups were adapted from Karate.