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AMC American Mathematics Competitions (AMC 8, 10, 12) Complete Guide

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AMC Eligibility, Registration Process & Important Dates for 2025-26

The AMC American Mathematics Competitions are internationally recognized Olympiad exams designed to nurture mathematical talent and critical thinking in students worldwide. Conducted by the Mathematical Association of America (MAA), AMC includes levels such as AMC 8, AMC 10, and AMC 12, serving as the first step for ambitious students toward elite contests like AIME and the International Mathematical Olympiad (IMO). The AMC evaluates problem-solving ability, fostering skills crucial for STEM careers and higher global studies.


AMC Important Dates 2025–26

Competition Exam Date Registration Opens
AMC 10 A / AMC 12 A November 5, 2025 September 15, 2025
AMC 10 B / AMC 12 B November 13, 2025 September 15, 2025
AMC 8 January 22–28, 2026 September 15, 2025

AMC Eligibility Criteria

AMC Level Age Eligibility Grade Eligibility
AMC 8 Under 14.5 years Grade 8 or below
AMC 10 Under 17.5 years Grade 10 or below
AMC 12 Under 19.5 years Grade 12 or below


 Students must meet both the age and grade requirements as of the day of the examination. International students, including Indian aspirants, can participate through registered institutions recognized by the MAA.


AMC Syllabus & Subjects

  • AMC 8: Covers Pre-Algebra, Algebra, Geometry, Proportion, Number Theory, Logic, and Basic Combinatorics (up to middle school level).
  • AMC 10: Includes advanced Algebra, Geometry (Euclidean & Coordinate), Counting & Probability, Number Theory, Inequalities, up to high school level.
  • AMC 12: Consists of all AMC 10 topics plus Trigonometry, Complex Numbers, Advanced Math concepts from upper high school.

The AMC syllabus closely matches global math standards, emphasizing logical thinking, problem-solving, and creative mathematics over rote application.


AMC Exam Pattern

Exam Number of Questions Duration Type Calculator Allowed?
AMC 8 25 40 minutes Multiple Choice No
AMC 10 25 75 minutes Multiple Choice No
AMC 12 25 75 minutes Multiple Choice No

AMC Progression to AIME & Advanced Contests

High scorers in AMC 10/12 qualify for the AIME, followed by USAMO/USAJMO for the top AIME qualifiers. This sequence leads to opportunities like the Mathematical Olympiad Program (MOP) and eventually the IMO.


AMC Registration Process

  1. Contact your school's AMC competition manager or authorized test centre for registration. Individual direct sign-up is not permitted.
  2. The school or centre must be vetted by the MAA, create an institutional account, and procure student licenses from the AMC portal.
  3. Complete payment within announced windows. Early registration is advised (Opens September 15, 2025).
  4. AMC 10/12 students select either A or B exam dates. Entry after deadlines is not permitted.
  5. Students receive exam access details from their coordinator before test day.

AMC Preparation Tips

  • Solve multiple official AMC previous year papers and review detailed solutions to understand the question style and logic.
  • Practice topic-wise questions from trusted resources and Olympiad-specific books, such as AoPS volumes for AMC/AIME.
  • Take sectional and full-length online AMC mock tests with timers to build accuracy and speed without calculators.
  • Regularly join peer discussions and solution threads on math forums like AoPS for doubt clearing and exposure to alternate approaches.
  • Enroll for Vedantu’s AMC-focused Olympiad courses and practice tests to receive structured guidance and up-to-date study material.

Details Mentioned in the AMC Admit Card

  • Student’s Full Name & Birth Date
  • AMC Level and Date Slot (A/B)
  • School / Institution Name & Code
  • Portal Login or Test Day Access Details
  • Exam Instructions (e.g., No calculators, materials allowed)

AMC Results & Cut-Off Announcement

AMC results are announced on the official MAA portal within a few weeks post exam. High scorers in AMC 10 and AMC 12 receive direct invitations to the AIME. Official cut-off scores and award lists vary each year and are published by MAA for transparency.


What to Do After the AMC Exam

  • Check the MAA portal or your institution for result updates and recognitions.
  • For AIME qualifiers, prepare using advanced problem sets and specialized guidance. Refer to IOQM, RMO, and INMO Olympiads for parallel progression and conceptual reinforcement.
  • Participate in math communities for doubts, Olympiad announcements, and further opportunities.

This comprehensive guide on the AMC American Mathematics Competitions covers essential eligibility, syllabus, exam pattern, important dates, and expert preparation resources. Stay updated with accurate registration instructions and links to official previous year papers and mock tests, enabling a seamless journey from AMC 8/10/12 to elite Olympiad success.

FAQs on AMC American Mathematics Competitions (AMC 8, 10, 12) Complete Guide

1. What is the AMC American Mathematics Competitions exam?

The AMC (American Mathematics Competitions) is an international mathematics Olympiad series for students in grades 6–12, consisting of AMC 8, AMC 10, and AMC 12. It is organized by the Mathematical Association of America (MAA) and is designed to identify and nurture mathematical talent through creative and logical problem-solving. This exam provides an official pathway toward advanced contests like AIME, USAMO, and even the IMO (International Mathematical Olympiad).

2. What is a good score on the AMC math competition?

A strong score for AMC competitions varies by exam level:

  • AMC 8: 20/25 or higher is considered excellent.
  • AMC 10/12: Scoring at or above official cutoff marks (typically 100+ out of 150) may earn recognition like Distinction, Honor Roll, or qualify you for the AIME.
Achieving these scores demonstrates advanced problem-solving and strong mathematical skills aligned with global Olympiad standards.

3. Who can participate in AMC 8, 10, and 12 exams?

Eligibility for AMC exams is clearly defined by age and grade:

  • AMC 8: Students under 14.5 years in grade 8 or below
  • AMC 10: Under 17.5 years in grade 10 or below
  • AMC 12: Under 19.5 years in grade 12 or below
Candidates must meet both age and grade criteria on the day of the competition to participate in the respective AMC level.

4. What is the syllabus for AMC 8, 10, and 12?

The AMC syllabus focuses on problem-solving across various math topics, progressing in difficulty.

  • AMC 8: Pre-Algebra, proportional reasoning, basic geometry, number theory, and introductory combinatorics (up to grade 8).
  • AMC 10: Algebra (including quadratics), Euclidean and coordinate geometry, probability, number theory, and combinatorics (up to grade 10).
  • AMC 12: Includes all AMC 10 topics plus trigonometry, complex numbers, advanced combinatorics, and higher-level geometry (up to grade 12).
Calculators are not allowed on any of the AMC exams.

5. How do I register for the AMC exam?

To register for AMC exams:

  1. Contact your school’s AMC competition manager.
  2. Registration is handled collectively by schools via the official MAA AMC portal.
  3. Individuals cannot self-register; you must go through an affiliated institution or test center.
  4. Check annual deadlines (registration usually opens in September and closes a few weeks before the exam).
This ensures you are officially entered and eligible for recognition and results.

6. What is the exam pattern of AMC 8, 10, and 12?

The AMC exam pattern is as follows:

  • Number of Questions: 25 Multiple Choice Questions (MCQs) for all levels
  • Duration: AMC 8 (40 minutes); AMC 10/12 (75 minutes)
  • Calculator Policy: Calculators and computational aids are strictly prohibited
This structure tests creative thinking and mathematical reasoning under timed conditions.

7. What level of math is AMC 8?

AMC 8 covers mathematics up to 8th grade, focusing on:

  • Pre-algebra and algebra basics
  • Geometry fundamentals
  • Number theory and logic
  • Basic counting and combinatorics
This makes it ideal for middle schoolers and those seeking a strong foundation in problem-solving.

8. How hard is the AMC math competition?

The AMC competition is more challenging than typical school math tests. It emphasizes non-routine questions designed to test creativity, critical thinking, and deep understanding rather than rote learning.

  • A few top scorers progress to prestigious rounds like AIME and USAMO.
  • Questions often require unique approaches and logical deduction.
Consistent practice using previous year problems is highly recommended for success.

9. Are calculators allowed on AMC exams?

No, calculators are not permitted in any AMC exam (AMC 8, 10, or 12). Computational aids, formula sheets, and textbooks are also not allowed. This rule ensures a level playing field and tests genuine mathematical thinking.

10. Can Indian or international students participate in AMC?

Yes, AMC exams are open to international participants, including Indian students.

  • Registration is possible via affiliated schools or approved test centers outside the USA.
  • All eligibility and exam rules remain the same worldwide.
Successful participants can earn global recognition and qualify for further math Olympiad rounds.

11. Does AMC help with admissions to top universities or IVY leagues?

Strong AMC, AIME, and USAMO performance positively impacts STEM admissions for top colleges worldwide, including Ivy League universities. These achievements showcase problem-solving ability, math talent, and commitment to excellence—qualities highly regarded by admissions committees.

12. What happens after AMC 10 or 12? What is the progression path?

After scoring well in AMC 10 or AMC 12:

  1. Top students qualify for the AIME (American Invitational Mathematics Examination).
  2. AIME scores plus AMC scores can earn entry to USAMO/USAJMO (Olympiad level).
  3. Exceptional students are invited to MOP (Mathematical Olympiad Program) and may represent their country at the IMO.
This progression rewards and develops the most promising math talent globally.

13. Where can I find AMC previous year question papers with solutions?

You can access AMC previous year papers and solutions through:

  • The official Art of Problem Solving (AoPS) AMC Archive
  • The MAA AMC practice portal
  • Trusted educational platforms offering free PDF downloads and mock tests
Practicing with these resources is one of the best ways to boost your score and understand the exam’s level.