American Mathematics Competitions (AMC): A Complete Guide
- Ayushi
- May 6
- 3 min read
The American Mathematics Competitions (AMC) are some of the most respected math contests for students. Organized by the Mathematical Association of America (MAA), the AMC helps students build strong problem-solving skills and a deeper love for mathematics. Since its start in 1950, the AMC has grown from a small local contest to a global competition with over 300,000 participants every year.

Understanding the AMC Structure
The AMC is divided into several levels based on the student's grade and age. Each level offers a clear path toward higher math competitions and even international contests.
Competition | Eligibility | Format | Key Details |
AMC 8 | Students 14.5 years or younger (grade 8 and below) | 25 questions in 40 minutes | Focuses on middle school math concepts. Held in January. |
AMC 10 | Students 17.5 years or younger (grade 10 and below) | 25 questions in 75 minutes | Tests high school math up to grade 10. High scorers qualify for the AIME. |
AMC 12 | Students 19.5 years or younger (grade 12 and below) | 25 questions in 75 minutes | Covers advanced high school topics. Top scorers move to the AIME. |
AIME | By invitation only | 15 questions in 3 hours | Gateway to the USAMO and USAJMO. |
USAMO and USAJMO | Top AIME performers | 6 proof-based questions across 9 hours | Winners may attend the Mathematical Olympiad Program (MOP) and represent the US at the IMO. |
Each level offers unique opportunities for growth and recognition. Many students use these competitions as a stepping stone toward more advanced math pathways.
How the AMC 10 Works
The AMC 10 is held every year in November. There are two versions, called AMC 10A and AMC 10B, usually about a week apart. Students can take one or both versions if they meet the eligibility rules.
Both versions have the same format and difficulty. The only difference is the set of questions. Offering two dates allows more schools and students to participate.
Scoring
6 points for every correct answer
1.5 points for every unanswered question
0 points for wrong answers
The highest possible score is 150. Perfect scores are very rare. Only 18 students achieved this in 2020.
Qualification for AIME
AMC 10: Top 2.5 percent of scorers qualify
AMC 12: Top 5 percent of scorers qualify
Scores needed to qualify usually fall between 100 and 115 points for AMC 10 and between 90 and 100 points for AMC 12.
What to Bring to the Exam
Students can bring:
Pencils or pens
Blank scratch paper
Rulers
Compasses
Erasers
Students cannot bring:
Calculators
Smartwatches
Phones
Tablets or laptops
Protractors
Graph paper
It is important to plan ahead and bring only the allowed items on exam day.
Why the AMC Matters
The AMC is not just about solving tough problems. It teaches students how to think creatively and logically. Topics include number theory, geometry, combinatorics, and more. Top universities like MIT value high AMC scores when looking at applicants.
The AMC also builds a strong community. Students often attend free seminars and take mock exams to practice. Books like the Art of Problem Solving series and Introduction to Counting and Probability are highly recommended for preparation.
Typical Timeline
AMC 10A is held on a Tuesday in early to mid-November.
AMC 10B follows a week later, usually on a Wednesday or Thursday.
High scorers move on to the AIME.
Top AIME performers qualify for the USAJMO.
The best from the USAJMO are invited to MOP and may later represent the US at the International Mathematical Olympiad.
Conclusion
The AMC stands as a cornerstone of math education. It challenges students in a fun and rewarding way. Whether a student dreams of math competitions or simply wants to sharpen their skills, the AMC offers an exciting path forward.
We know and understand that the application process can be overwhelming, so we are here for you. The study abroad experts at Hello Study Global are there for you every step of the way. From preparing for entrance exams to college applications, we will guide you to success.
Feel free to reach out to us at Hello Study Global.
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