High schoolers: How to enter math competitions

If you’re a high school student in the U.S. eager to develop your problem-solving and logical reasoning skills, participating in math competitions is one of the best ways to challenge yourself and gain academic distinction. Math competitions for high school students are an excellent avenue for those looking to strengthen their college applications or seeking an engaging intellectual challenge. They provide a chance for future mathematicians and STEM enthusiasts alike to hone their talents and compete for impressive accolades.

Let’s explore some of the most prestigious math competitions for high school students in the U.S., highlighting what makes each unique and why these contests are valuable opportunities for personal and academic growth.

1. American Mathematics Competitions (AMC 10 & AMC 12)

Hosted by: Mathematical Association of America (MAA)

Grades: AMC 10 for students in 10th grade and below; AMC 12 for 12th grade and below

When: Typically held in November and February

Why it matters:

• The AMC Math Competition, part of the American Mathematics Competitions (AMC) series, is one of the most prestigious and recognized math contests in the United States.
• High scores on the AMC 10 and AMC 12 can earn students an invitation to the American Invitational Mathematics Examination (AIME).
• Outstanding performance on the AMC/AIME pathway qualifies top students for the USA Mathematical Olympiad (USAMO) or Junior Mathematical Olympiad (USAJMO).
• Elite universities such as MIT, Caltech, and Stanford view achieving the AMC 12 or AMC 10 cutoff as a significant academic milestone.
• Early AMC 10 registration and AMC 12 registration are recommended, as participation is both highly regarded and competitive.

2. American Invitational Mathematics Examination (AIME)

Hosted by: MAA

Eligibility: Invitation-only; students must achieve top scores on the AMC 10 or AMC 12 exams

When: March

Why it matters:

• This challenging 15-question, 3-hour AMC Math Competition is designed for advanced problem solvers who excel on the AMC 10 and AMC 12.
• The exam rigorously tests creative approaches in algebra, geometry, combinatorics, and number theory, building on the skills demonstrated through the AMC 10 and 12.
• Outstanding performance can qualify you for the USAMO or USAJMO, distinguishing you among the nation’s top American Mathematics Competitions participants.

3. USA Mathematical Olympiad (USAMO) and USA Junior Mathematical Olympiad (USAJMO)

Hosted by: MAA

Eligibility: Based on combined AMC and AIME scores

Why it matters:

• As one of the most prestigious American mathematics competitions, the U.S. Math Olympiad Team selection exams are the ultimate challenge for high school students in the United States.
• USAMO and USAJMO qualifiers stand out as the leading mathematical talents nationwide. They represent the best pathway towards joining the U.S. Math Olympiad Team, which represents the country in the global International Mathematical Olympiad (IMO) competition.
• High achievers earning top scores are recognized for excellence, invited to special math training camps, and afforded other exclusive opportunities. Six top performers from the USAMO are selected to participate in the IMO.
  
  

4. Math League

Grades: 4 - 12 (organized by level)

When: Competitions run throughout the school year

Why it matters:

• Math League is a more accessible competition series designed to encourage widespread participation.
• Promotes team collaboration and friendly academic rivalry.
• Great for schools looking to build or grow their math team and for students new to competitive math.

5. Mu Alpha Theta competitions

Who it’s for: Members of Mu Alpha Theta, the national high school mathematics honor society

Why it matters:

• Regional and national math competitions are held at conventions and throughout the year.
• Focuses on both individual and team events.
• Emphasizes math enrichment, leadership, and academic excellence in a collaborative environment.
  
  

6. MathCounts competition series

Grades: 6 - 8

Why it matters:

• Although it’s for middle schoolers, many high-performing high school students got their start in MathCounts.
• Nationally recognized, team-based, and highly competitive.
• Helps build foundational skills that are essential for success in the AMC and AIME.

7. Purple Comet! Math Meet

Grades: Middle and high school

When: April

Why it matters:

• An international, online, team-based competition that is completely free to enter.
• Encourages teamwork and collaboration over speed or memorization.
• Math Meet offers a unique opportunity to solve real-world style problems in a relaxed yet challenging environment.
  
  

Why compete in math contests?

Participating in math competitions offers much more than a trophy or certificate. Here’s what students gain:

• Critical thinking and creative problem-solving skills that go far beyond what’s taught in the classroom
• Stronger college applications (especially for STEM programs and scholarships)
• Networking opportunities with like-minded peers and mentors
• A head start on advanced topics in mathematics, preparing students for college-level coursework
• Increased confidence in tackling unfamiliar or complex problems under time pressure
• Building real-world quantitative skills

Final thoughts

You don’t need to be a math genius to enter these competitions; you just need to be curious, motivated, and open to learning. There’s a competition for every skill level, from school-based events like Math League to elite pathways like the USAMO and beyond.

If you’re interested, talk to a teacher, join your school’s math club, or check with local organizations. Explore Achievable’s AMC resources and get a head start on your AMC 10/12 prep. With regular practice, a positive mindset, and a little bravery, you might surprise yourself with how far you can go.

So find a competition that fits your level, give it your best effort, and enjoy the challenge. The experience alone can change the way you think about math and what you’re capable of.