The American Mathematics Competitions (AMC) are a series of mathematics competitions designed to challenge students to think beyond routine classroom mathematics.

Administered by the Mathematical Association of America (MAA), the AMC program has a long history of encouraging mathematical problem solving. The MAA states that the program was founded in 1950 and now involves more than 300,000 students across the United States and more than 30 countries.

For students who enjoy mathematics, the AMC offers something very different from simply completing harder textbook exercises. AMC questions reward students who can:

Strong performance on the AMC 10 or AMC 12 can also lead to an invitation to the American Invitational Mathematics Examination (AIME) and, for exceptionally strong competitors, further stages of the U.S. mathematical olympiad pathway.

This LittleEdventure guide explains how the competitions work, who can participate, what mathematics students should know and how to prepare effectively.

The AMC is not a single examination. It is a progressive mathematics competition program, with different competitions appropriate for different levels of mathematical development.

For most school students, the pathway can be understood as AMC 8 → AMC 10 → AMC 12, with high-performing AMC 10 and AMC 12 students potentially progressing to AIME, then USAJMO / USAMO and higher-level olympiad selection.

The MAA describes the AMC 10 and AMC 12 as the first stage in the pathway toward prestigious international mathematics competitions, including the International Mathematical Olympiad for eligible U.S. participants.

For international students, the value of AMC participation need not be limited to that U.S. selection pathway. The competition can also provide a challenging benchmark for mathematical problem solving and an opportunity for mathematically ambitious students to work on questions substantially different from many routine school exercises.

AMC preparation should not become "memorise 100 formulas, then complete 1,000 repetitive questions." The stronger approach is to develop a toolbox of mathematical strategies. Students should learn to ask:

These habits are useful not only for AMC but for broader mathematical learning.

But students should not actually divide their time equally. Problems generally become more challenging as the competition progresses. An effective strategy is:

Accuracy Before Speed

A common mistake is to tell a young student "You need to become faster." Often that isn't the first problem. A student may actually need to become more organised. Students lose time when they:

• Restart calculations
• Misread questions
• Use unnecessarily long methods
• Fail to draw diagrams
• Perform arithmetic without estimating
• Continue with an unproductive approach for too long

Good AMC preparation therefore develops mathematical efficiency, not just calculation speed.

Students do not need to follow a particular school curriculum to benefit from AMC-style problem solving. LittleEdventure supports preparation for students studying:

Registration arrangements depend on location.

In the U.S. and Canada, the MAA advises students and parents to first ask whether their school is hosting the competition. If not, they can look for participating educational institutions such as colleges, universities, math circles or learning centres. Students and parents do not register themselves directly with the MAA for AMC 8, 10 or 12.

Students outside the U.S. and Canada should follow the arrangements for the AMC International program in their country or region.

International participation and registration arrangements can vary by country and competition year. Always confirm current eligibility, dates and registration arrangements before making preparation or travel plans.

For official current competition information, visit the MAA American Mathematics Competitions page.