The American Mathematics Competitions (AMC) consist of a series of increasingly difficult tests for students in middle school and high school. The AMC sets the standard in the United States for talented high school students of mathematics. The AMC curriculum is both comprehensive and modern. AMC exams are so well designed that some top universities such as MIT now ask students for their AMC scores. "AMC" is also used as an abbreviation for American Math Contest, used to refer to the AMC 8, AMC 10, and AMC 12.
Contest prerequisite
- Beginner - Competition Math For Middle School
Course Content
- P1-Textbook(AoPs)
- P2-Solution Mannual(AoPs)
- P3-Formula Sheet(Self Prepared/2025)
- P4-Problem Set(Past Question Collection)
- P5-Past Year Question(Hoster/2000-2022)
- P9-Reference Note/Book(Publisher/Year)
Course Content Structures In order of increasing difficulty, AMC competitions are
- AMC 8 — for students grades 8 and under
- AMC 10 — for students grades 10 and under
- AMC 12 — for students grades 12 and under
- American Invitational Mathematics Examination (AIME) — high scorers from the AMC 10/12 exams
- United States of America Mathematics Olympiad (USAMO) — high AIME and AMC scorers The top students on the USAMO are invited to participate in the Mathematical Olympiad Summer Program, where students train for possible inclusion on the U.S. IMO team.
The courses enlisted as follows: AMC tests mathematical problem solving with arithmetic, algebra, counting, geometry, number theory, and probability, with far more cross-over between the subject areas than in nearly all classrooms. For example, most classrooms only have divisibility rules and little tidbits of number theory, and consider number theory as not a whole branch of mathematics but just a bunch of short cuts. The AMCs use number theory in much deeper (although elementary, without analysis) ways. Tests vary widely in difficulty. All three of the tests are designed such that no background in calculus, analysis, or any other higher mathematics is needed to take the exams.
- Introductory 01 - PreAlegebra
- Introductory 02 - Algebra
- Introductory 03 - Counting & Probability
- Introductory 04 - Geometry
- Introductory 05 - Number Theory
- Intermediate 01 - Algebra
- Introductory 02 - Counting & Probability
- Introductory 03 - PreCalculus
- Advanced 01 - Calculus
- Advanced 02 - Volume 1
- Advanced 03 - Volume 2
Any High School Enrolled : Math Contest
Main Instructor:
- Lecture Facilitator -
- Workshop Facilitator -
Textbooks:
- Competition Math for Middle School Textbook
- Art of Problem Solving
Add-on Resources:
- Scientific Calculator
- Desmos/GeoGebra
- Wolfram Alpha
Projects:
