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American Mathematics Competitions

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American Mathematics Competitions

American Mathematics Competitions is a series of competitions organized by the Mathematical Association of America (MAA). It’s the stage where math geniuses of all ages and backgrounds come together to test themselves.

The AMC is an annual contest that offers challenging math problems for participants to push the boundaries of problem-solving and critical thinking. The competition comes in several stages, with the AMC 8, AMC 10, and AMC 12, each tailored to different age groups.

This competition is part of a worldwide network, connecting math enthusiasts from all corners of the globe. It’s like a math family reunion where enthusiasts from different countries unite in their passion for numbers.

Objective: American Mathematics Competitions

The American Mathematics Competitions (AMC) have a clear mission: to help high school students in the United States enhance their problem-solving abilities and grasp of mathematics. These competitions go beyond the typical school curriculum, offering challenging problems that require critical thinking and a deeper understanding of mathematical concepts. The ultimate goal is to ignite a true love for the subject among participants.

Furthermore, the AMC plays a crucial role in acknowledging outstanding mathematical talent and fostering academic excellence through a spirit of friendly competition. It serves as a starting point for students to delve into more advanced opportunities within the mathematical realm, preparing them for future studies and careers in mathematics and related fields.

Who is it for?

AMC 8: Students with a passion for problem-solving who are in grade 8 or below and under 14.5 years of age on the day of the competition are eligible to participate in the AMC 8.

AMC 10: The AMC 10 is for students in 10th grade and below and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10.

AMC 12: The AMC 12 covers the entire high school curriculum, including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.

AIME: The American Invitational Mathematics Examination (AIME) is only offered to those who excelled on the AMC 10 and/or AMC 12.

USAMO/USA(J)MO: The top-scoring AMC 12 participants (based on a combination of AMC 12 and AIME scores) are invited to take the USAMO. The top-scoring AMC 10 participants (based on a combination of AMC 10 and AIME score) are invited to take the USAJMO. U.S. citizens and students studying in the United States and Canada (with qualifying scores) are eligible to take the USAMO and USAJMO.

How can you participate?

American Mathematics Competitions are school-based competition, so you’ll need to sign up through your school – no independent registrations allowed.


The American Mathematics Competitions are a series of examinations and curriculum materials that build problem-solving skills and mathematical knowledge in middle and high school students. It offers a lot of competition categories. Let’s take a look at them.

Competition CategoryCompetition Date
AMC 8Jan 18 - 24, 2024
AMC 10/12 (A)Nov 8, 2023
AMC 10/12 (B)Nov 8, 2023
AIME (I)Feb 1, 2024
AIME (II)Feb 7, 2024
USA(J)MOMarch 19-20, 2024

Competition format  

Competition Format
Competition CategoryFormat
AMC 8The AMC 8 is a 25-question, 40-minute, multiple-choice examination in middle school.
AMC 10/12 (A)The AMC 10 and AMC 12 are both 25-question, 75-minute, multiple-choice examinations in high school mathematics.
AMC 10/12 (B)It has the same format as the AMC 10/12 A one.
AIMEThe AIME is a 15-question, 3-hour examination.
USA(J)MOThe USAMO and USAJMO are six-question, two-day, 9-hour essay/proof examinations.

Syllabus/ Subject Matter Focus

Following are the topics covered in each American Mathematics Competitions test.

Number Theory

Registration and time lines : AMC 2023-24

Students should register themselves for American Mathematics Competitions via their respective schools. 

Registration Deadline

AMC 8: Dec 18, 2023

AMC 10/12 (A): Oct 26, 2023

AMC 10/12 (B): Nov 2, 2023

AIME (I): Invite Only

AIME (II): Invite Only

USA(J)MO: Invite Only


AMC 8: Jan 18 - 24, 2024

AMC 10/12 (A): Nov 8, 2023

AMC 10/12 (B): Nov 8, 2023

AIME (I): Feb 1, 2024

AIME (II): Feb 7, 2024

USA(J)MO: March 19-20, 2024

Prize and Award Recognition

Awards for American Mathematics Competitions’ 8 Participants

First position in each schoolGold Certificate
Second position in each schoolSilver Certificate
Third position in each schoolBronze Certificate
AMC 8 Winner PinStudent in each school with the highest score
Certificate of DistinctionAll students who get a perfect score
AMC 8 Honor Roll CertificateAll the high scoring students
AMC 8 Merit CertificateHigh scoring students who are in 6th grade or below.

Awards for AMC 10/12 Participants

School Winner Pin, AMC 10The top scoring student in your school for the AMC10 Contest
School Winner Pin, AMC 12The top scoring student in your school for the AMC12 Contest
Special Achievement PinPurchased by the school to honor those students they feel deserve extra recognition
Honor Roll of Distinction Pin, AMC 10Given to the top 1% of AMC 10 participants
Honor Roll of Distinction Pin, AMC 12Given to the top 1% of AMC 12 participants
School Certificate of Honor, AMC 12Schools with a team score of 400 or greater
School Certificate of Merit, AMC 12Schools with a team score of at least 300
Certificate of Achievement, AMC 12Students in 10th grade and below with a score of 90 or above
Certificate of Achievement, AMC 10Students in 8th grade and below with a score of 90 or above
Certificate of DistinctionAll students who qualify for the AIME

Other awards in AIME and USAMO

Certificate of ParticipationStudents selected to participate in the AIME
Certificate of ExcellenceStudents who participate in the USAMO

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