American Mathematics Competitions: A Complete Guide

Are you ready to put your math skills to the test and see how you stack up against students across the country and the world? The American Mathematics Competitions (AMC) give you the chance to challenge yourself, think creatively, and build confidence while having fun with problem-solving.

This blog breaks down everything you need to know to succeed in the AMC, including how to qualify, where to register, tips for preparing, and examples of past winners so you can see what it takes to stand out. 

• What Are the American Mathematics Competitions?
• American Mathematics Competitions Awards and Prizes
• How to Qualify for the American Mathematics Competitions
• How to Get into the American Mathematics Competitions
• How to Win the American Mathematics Competitions
• American Mathematics Competitions Previous Winners
• Frequently Asked Questions
• Takeaways

What Are the American Mathematics Competitions?

The American Mathematics Competitions are the premier math contests for students from grades K through 12. Founded in 1950, the competitions now reach over 300,000 students across 50 states and more than 30 countries. They challenge your problem-solving skills, build confidence, and give you a chance to test your abilities against other students who enjoy math as much as you do. 

This year, the American Mathematics Competitions 10A and 12A take place on November 5, 2025. The 10B and 12B competitions are scheduled for November 13, 2025. The AMC 8 will be held from January 22 to January 28, 2026. 

Most competitions are hosted at schools, universities, math circles, or learning centers. Your school or local center will provide the testing location once it registers as a competition site.

American Mathematics Competitions Awards and Prizes

The American Mathematics Competitions recognize students who perform exceptionally well and open the door to higher-level contests. Top scorers on the AMC 10 or 12 may qualify for the American Invitational Mathematics Examination (AIME), which can lead to the USA Mathematical Olympiad (USAMO) or USA Junior Mathematical Olympiad (USAJMO). 

Students who excel in these competitions may even advance to programs like the Mathematical Olympiad Program (MOP) or join the USA teams for the IMO and EGMO.

The AMC also celebrates top-scoring girl-identifying students through the Young Women in Mathematics Awards & Certificates. These awards highlight outstanding performance and encourage participation from students who are underrepresented in math. All participants receive a certificate of participation to recognize their effort and dedication.

How to Qualify for the American Mathematics Competitions

Qualifying for the American Mathematics Competitions starts with finding a registered competition site near you. You do not register directly with the MAA. Instead, your school, math circle, university, or learning center signs up as a competition site and enrolls students. 

Eligibility

To compete in the American Mathematics Competitions, you must meet specific requirements for grade and age:

On top of that, you must also:

• Be enrolled full-time at an accredited school or homeschool in the United States or Canada. Home schools cannot act as competition sites, and visas do not substitute for school enrollment
• Participate through a registered competition site. 

Eligible sites include schools, universities, learning centers, or math circles that have been verified by the MAA. Competition managers at these sites handle registration, proctoring, and reporting scores to the MAA. 

Math circles and learning centers must provide proof of registration, a verified address, and documentation confirming their ability to administer the competition on-site.

Required documents

You do not need to prepare many documents yourself. Your competition manager handles most registration tasks. For your part, you should be aware of the following:

• Provide your name, grade level, and basic information to the competition manager for license assignment.
• ESL students may bring a hard copy of a nontechnical dictionary, which must be given to the competition manager before the test.
• Allowed materials during the competition include scratch paper, rulers, and writing utensils.
• Prohibited items include calculators, phones, smartwatches, or any similar electronic devices.

By preparing these materials in advance and following the rules, you can focus fully on solving the problems and performing your best during the competition. Make sure to coordinate with your competition manager so everything goes smoothly on test day.

Contest fees

The cost to participate in the American Mathematics Competitions depends on your grade level and covers access to the test, exam administration, and competition materials. Any extra costs, like travel to your competition site, are usually your responsibility.

For individual students, early registration is $55, regular registration is $75, and late registration is $115 for all competitions. Schools or centers can also purchase bundles of ten student licenses: $30 per bundle for AMC 10 or 12, and $25 per bundle for AMC 8. 

Students taking both A and B dates for AMC 10 or 12 will need two licenses. All payments must be completed before licenses are activated, and additional bundles can be purchased if more students register later.

Registration deadline

Students can start enrolling with registered institutions beginning September 15, 2025. The registration deadlines depend on the competition and registration type:

Once your registration is complete, your competition manager will provide your test location and instructions. Make sure you register on time to secure your spot and avoid missing the competition.

How to Get into the American Mathematics Competitions

Participating in the AMC is a fun way to challenge yourself, improve your problem-solving skills, and even take the first step toward representing the USA in international math competitions. 

Step 1: Find a place to compete.

The first step is to see if your school will host the AMC 8, AMC 10, or AMC 12. Ask a teacher or math coach if your school is participating. If your school does not host the competition, you can check local colleges and universities, math circles, or learning centers that are registered with the MAA. 

Students and parents do not sign up directly with the MAA, so you need a registered competition site.

Step 2: Choose the right AMC for your grade.

The AMC has different competitions depending on your grade level and age:

• AMC 8 is for middle school students in grade 8 or below, under 15.5 years old. The test has 25 questions and takes 40 minutes. 
• AMC 10 is for high school students in grade 10 or below, under 17.5 years old. The test has 25 multiple-choice questions and lasts 75 minutes. 
• AMC 12 is for high school students in grade 12 or below, under 19.5 years old. The test has 25 multiple-choice questions and lasts 75 minutes. 

Choosing the right AMC ensures you compete at the level that matches your grade and skills, helping you get the most out of the experience.

Step 3: Enroll through your competition manager.

Once you find a competition site, your competition manager handles the registration and student licenses. You will need to provide basic information such as your name and grade. Your manager will also tell you the competition date and location. You only need to show up on test day ready to do your best.

Step 4: Prepare for the competition.

Preparing for the AMC can be fun and rewarding. Work on problem-solving strategies, like looking for patterns, testing small cases, and thinking creatively. 

The AMC 8, 10, and 12 all reward logical thinking and persistence, so focus on understanding concepts, not just memorizing formulas.

Step 5: Take the test.

Show up at your registered site on the day of your AMC competition. Remember that calculators and electronic devices are not allowed. Scratch paper and other basic materials will be provided. 

Read each problem carefully, manage your time, and stay calm. Even if a problem seems hard, do not get stuck; move on and come back if you have time.

Step 6: Advance to the next level.

If you score high enough on the AMC 10 or AMC 12, you may be invited to the AIME and possibly the USAMO. Your performance at these competitions can open the door to international opportunities like the International Olympiad in Informatics (IOI).

How to Win the American Mathematics Competitions

You need a strong foundation in math concepts, creativity in problem-solving, and steady focus under pressure to win in the AMC. Here are some practical tips to help you perform at your best:

1. Understand how the competition works.

The AMC 8, AMC 10, and AMC 12 are multiple-choice competitions designed to test your problem-solving skills.

• AMC 8 has 25 questions and lasts 40 minutes. Topics include counting and probability, estimation, proportional reasoning, basic geometry (including the Pythagorean Theorem), spatial visualization, interpreting graphs and tables, and some beginning algebra.
• AMC 10 has 25 questions and lasts 75 minutes. Topics include elementary algebra, basic geometry, area and volume, elementary number theory, and probability. Advanced topics like trigonometry and calculus are not included.
• AMC 12 has 25 questions and lasts 75 minutes. Topics include advanced algebra, trigonometry, and advanced geometry, but calculus is not included.

High scores on the AMC 10 and AMC 12 can qualify you for the AIME and potentially the USAMO or USAJMO.

2. Focus on creativity and understanding.

The AMC is designed to see how you think like a mathematician. Memorizing formulas alone will not guarantee success. You are expected to:

• Apply mathematical principles in flexible and creative ways. For instance, use symmetry or small test cases to simplify a complex problem.
• Recognize patterns and shortcuts that make seemingly difficult math problems manageable.
• Work confidently with topics such as algebra, geometry, number theory, counting, probability, and functions. Some AMC 12 questions may include trigonometry or advanced geometry concepts.

Clear reasoning is highly valued. Even if you cannot fully solve a problem, showing a logical approach in your scratch work can earn you partial credit in your preparation practice, helping you understand where mistakes might occur.

3. Practice with past problems.

Practicing previous AMC exams is one of the most effective ways to prepare. Doing so helps you become familiar with the format, timing, and types of questions you will face. Focus on:

• Simulating real test conditions by timing yourself and limiting interruptions.
• Trying multiple solution methods to develop flexibility in thinking. For example, some algebra problems can also be solved with clever geometric reasoning.
• Reviewing solutions carefully to understand alternative strategies and learn from mistakes. Pay attention to tricky wording or subtle constraints in the problems.

Repeated practice strengthens your intuition for problem-solving and improves speed without sacrificing accuracy.

4. Develop test-taking precision.

Accuracy is critical in the AMC. Small mistakes can result in lost points, even if your approach is correct. Keep these points in mind:

• Read each problem carefully, paying attention to details that might affect the solution.
• Double-check calculations and logical steps whenever possible, especially under time pressure.
• Manage your time wisely. Skip questions that seem too difficult at first and return to them if time allows. Staying calm and methodical helps you avoid errors caused by rushing.

Precision also involves organizing your scratch work clearly. Writing your steps systematically makes it easier to catch mistakes and reinforces your reasoning skills.

5. Value the experience and stay curious.

Competing in the AMC is about more than winning awards. You will also develop problem-solving skills, challenge yourself with advanced math, and gain confidence in tackling unfamiliar problems.

Approach the competition with curiosity, persistence, and a willingness to learn from every problem. You will meet students who share your passion for math and experience the excitement of thinking critically under time constraints. 

Even if you do not earn a medal, the knowledge and skills you gain, and the experience of competing, are achievements you can carry into future contests and academic challenges.

American Mathematics Competitions Previous Winners

Every year, the USA Mathematical Olympiad (USAMO) recognizes the brightest high school mathematicians in the country. These students qualify by excelling on the AMC 10 or AMC 12 and the American Invitational Mathematics Examination (AIME). 

Here’s a look at the top ten Gold Awardees from the 2025 USAMO:

Christopher Bao’s achievement is especially inspiring. A student at Davidson Academy in Nevada, he ranked first among the 2025 USAMO participants, demonstrating exceptional skill in problem-solving, logical reasoning, and mathematical creativity. 

His dedication to mastering challenging proof-based problems shows how persistence and focused practice can lead to remarkable success.

Frequently Asked Questions

1. How do I qualify for the American Mathematics Competitions?

You can qualify for the AMC 8, 10, or 12 by being enrolled full-time at a registered school like Davidson Academy or Homestead High School in Cupertino. Your school or learning center signs up as a competition site and enrolls students, so you do not register directly with the MAA. 

Just make sure you meet the grade and age requirements, and your competition manager will handle the rest of the registration process for you.

2. Where will the American Mathematics Competitions be held?

The AMC competitions take place at schools, universities, math circles, or learning centers that are registered as competition sites, including places like Phillips Exeter Academy or Dover Sherborn High School. Your competition manager will tell you the exact location once registration is complete. Knowing where your test will be helps you plan your day and arrive fully prepared to focus on math.

3. Who won the 2025 American Mathematics Competitions?

The top scorers in 2025 include Christopher Bao from Davidson Academy and Rohan Bodke from Homestead High School in Cupertino, who both earned Gold Awards at the USAMO. Other top achievers are Andrew Carratu, Karn Chutinan, and Jonathan Du, showcasing how dedication and problem-solving skills pay off. 

Reading about their achievements can inspire you to aim high in your own AMC journey.

Takeaways

• You can start your AMC journey by checking if your school, like Davidson Academy or Homestead High School in Cupertino, is a registered competition site so you know where to compete.
• Preparing with past AMC problems from competitions like the AMC 10 or 12 will sharpen your problem-solving skills and help you tackle tricky questions confidently.
• High performers like Christopher Bao and Rohan Bodke show that consistent practice and logical thinking can help you earn Gold Awards and qualify for USAMO or USAJMO.
• Participating in the AMC opens doors to international competitions like the IMO and EGMO, giving you a chance to challenge yourself alongside the best students in the world.
• At AdmissionSight, we help you prepare for top math and science competitions, including the AMC, USAMO, and IMO, so you can sharpen your problem-solving skills, gain confidence, and stand out among your peers. Reach out today to start your journey!