USA MATH COMPETITIONS

USA Math Competitions for Students

Explore mathematics competitions in the USA for elementary, middle school, and high school students. Discover competition levels, eligibility, formats, problem-solving focus, and opportunities for students interested in competitive mathematics.

Elementary School Middle School High School Olympiad Mathematics
COMPLETE GUIDE

Explore USA Mathematics Competitions

Math competitions give students an opportunity to go beyond traditional classroom mathematics and develop stronger problem-solving skills, logical reasoning, mathematical thinking, and confidence.

The United States offers a wide range of mathematics competitions for students at different grade levels and skill levels. Some competitions introduce younger students to creative problem solving, while others provide advanced challenges for students preparing for national and international-level mathematics.

This guide covers USA math competitions and mathematics programs, including Math Kangaroo, Noetic Learning Math Contest, MOEMS Math Olympiads, Purple Comet! Math Meet, MATHCOUNTS, Math League, MathCON, Continental Mathematics League (CML), AMC 8, AMC 10, AMC 12, AIME, USAJMO, USAMO, HMMT, ARML, USAMTS, Berkeley Math Tournament (BMT), Princeton University Mathematics Competition (PUMaC), Brown Math Competition (BrUMO), Girls in Math at Yale, CMIMC, and Stanford Math Tournament.

FIND BY GRADE LEVEL

Math Competitions by Grade Level

USA math competitions are available for students across elementary, middle school, and high school grade levels. Explore competitions based on your student's age, grade, mathematical experience, and competition goals.

01
GRADES 1–5

Elementary School Math Competitions

Elementary students can build mathematical confidence, logical reasoning, number sense, and creative problem-solving skills through engaging individual and team competitions.

Math Kangaroo Noetic MOEMS Math League CML
02
GRADES 6–8

Middle School Math Competitions

Middle school competitions help students strengthen mathematical reasoning, speed, accuracy, algebraic thinking, geometry, and problem-solving through individual and team formats.

MATHCOUNTS AMC 8 Math League MathCON CML ARML USAMTS
03
GRADES 9–12

High School Math Competitions

High school students can take on increasingly challenging mathematics involving algebra, geometry, number theory, combinatorics, probability, and advanced problem solving.

AMC 10 AMC 12 Math League MathCON Purple Comet HMMT ARML USAMTS BMT PUMaC BrUMO CMIMC Stanford Math Tournament Girls in Math at Yale
04
ADVANCED STUDENTS

Advanced & Olympiad Mathematics

Students pursuing advanced competitive mathematics can progress toward challenging problems that require deeper reasoning, proof, creativity, and Olympiad-style mathematical thinking.

AIME USAJMO USAMO HMMT ARML USAMTS BMT PUMaC BrUMO CMIMC Stanford Math Tournament Girls in Math at Yale
USA MATH COMPETITION DIRECTORY

Explore USA Math Competitions

Explore mathematics competitions for students across elementary, middle school, and high school levels. Each competition offers a different approach to mathematical problem solving, reasoning, teamwork, or advanced mathematics.

01 GRADES 1–12

Math Kangaroo

Math Kangaroo is an international mathematics competition that introduces students to engaging and challenging mathematical problems. It emphasizes logical thinking, mathematical reasoning, and creative problem solving.

Level Elementary to High School
Focus Problem Solving
Learn More →
02 GRADES 2–8

Noetic Learning Math Contest

The Noetic Learning Math Contest challenges elementary and middle school students with mathematical problems designed to develop reasoning, creativity, persistence, and problem-solving skills.

Level Elementary & Middle School
Focus Creative Problem Solving
Learn More →
03 ELEMENTARY & MIDDLE

MOEMS Math Olympiads

Math Olympiads for Elementary and Middle Schools helps students develop mathematical problem-solving skills through challenging problems that encourage creativity, persistence, and logical reasoning.

Level Elementary & Middle School
Focus Problem Solving
Learn More →
04 TEAM

Purple Comet! Math Meet

Purple Comet! Math Meet is a team mathematics competition where students work collaboratively to solve challenging mathematics problems. It combines mathematical reasoning with teamwork and collaboration.

Level Middle & High School
Focus Team Problem Solving
Learn More →
05 GRADES 6–8

MATHCOUNTS

MATHCOUNTS is a mathematics competition program for middle school students. It develops problem-solving ability, mathematical confidence, speed, accuracy, and competitive thinking through individual and team-based events.

Level Middle School
Focus Speed & Problem Solving
Learn More →
06 MULTIPLE LEVELS

Math League

Math League provides mathematics competitions for students at different educational levels. Students solve challenging problems that encourage mathematical reasoning, accuracy, and competitive problem-solving.

Level Multiple Grade Levels
Focus Competitive Mathematics
Learn More →
07 STUDENTS

MathCON

MathCON is a mathematics competition that challenges students to apply mathematical knowledge, reasoning, and problem-solving skills to competition-style mathematics questions.

Level Middle & High School
Focus Problem Solving
Learn More →
08 TEAM / MULTIPLE LEVELS

Continental Mathematics League (CML)

The Continental Mathematics League provides challenging mathematics experiences that encourage students to develop problem-solving skills, mathematical reasoning, and confidence through competition.

Level Multiple Grade Levels
Focus Problem Solving
Learn More →
09 MIDDLE SCHOOL

AMC 8

AMC 8 is a mathematics competition for younger students that tests mathematical reasoning and problem-solving ability through challenging questions involving concepts commonly studied in middle school mathematics.

Level Middle School
Focus Mathematical Reasoning
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10 GRADE 10 & BELOW

AMC 10

AMC 10 is designed for students in Grade 10 and below. The competition challenges students with mathematical problems involving areas such as algebra, geometry, number theory, counting, probability, and reasoning.

Level High School
Focus Advanced Problem Solving
Learn More →
11 GRADE 12 & BELOW

AMC 12

AMC 12 challenges high school students with problems covering algebra, geometry, number theory, combinatorics, probability, and mathematical reasoning. It provides a strong foundation for advanced competitive mathematics.

Level High School
Focus Advanced Mathematics
Learn More →
12 ADVANCED

American Invitational Mathematics Examination (AIME)

AIME is an advanced mathematics examination for students who qualify through the AMC program. It requires students to solve challenging mathematical problems and provide numerical answers.

Level Advanced Students
Focus Advanced Mathematics
Learn More →
13 OLYMPIAD

USA Junior Mathematical Olympiad (USAJMO)

USAJMO is a proof-based mathematics competition for qualifying students. It challenges students to develop rigorous mathematical arguments, creative solutions, and deeper problem-solving skills.

Level Advanced Students
Focus Mathematical Proof
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14 OLYMPIAD

USA Mathematical Olympiad (USAMO)

USAMO is an advanced proof-based mathematics competition for qualifying students in the United States. Problems require deep mathematical reasoning, creativity, and carefully constructed mathematical solutions.

Level Advanced / Olympiad
Focus Proof & Reasoning
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15 HIGH SCHOOL

Harvard-MIT Mathematics Tournament (HMMT)

HMMT is a challenging mathematics tournament for high school students. It brings together strong mathematics students for individual and team problem-solving events across a range of advanced topics.

Level High School
Focus Advanced Problem Solving
Learn More →
16 TEAM

American Regions Mathematics League (ARML)

ARML is a team-based mathematics competition that brings together high school students to solve challenging mathematical problems. It emphasizes collaboration, mathematical reasoning, and advanced problem solving.

Level High School
Focus Team Mathematics
Learn More →
17 ADVANCED

USA Mathematical Talent Search (USAMTS)

USAMTS is an advanced mathematics competition that gives students an opportunity to work on challenging problems and develop detailed mathematical solutions, reasoning, and proof-writing skills.

Level Middle & High School
Focus Proof & Problem Solving
Learn More →
18 HIGH SCHOOL

Princeton University Mathematics Competition (PUMaC)

PUMaC is a challenging mathematics competition for high school students featuring individual, team, and proof-oriented mathematical problem solving. It provides advanced students with opportunities to develop mathematical reasoning, creativity, and problem-solving skills.

Level Advanced High School
Focus Advanced Problem Solving
Learn More →
19 HIGH SCHOOL

Berkeley Math Tournament (BMT)

The Berkeley Math Tournament is a high-level mathematics competition for high school students. It challenges participants with individual and team-based problems requiring mathematical reasoning, creativity, and advanced problem-solving skills.

Level Advanced High School
Focus Individual & Team Math
Learn More →
20 HIGH SCHOOL

Brown University Math Olympiad (BrUMO)

BrUMO is a high school mathematics competition featuring challenging individual and team events. Students apply algebra, geometry, combinatorics, number theory, and creative problem-solving techniques across multiple rounds.

Level Advanced High School
Focus Individual & Team Math
Learn More →
21 HIGH SCHOOL

Girls in Math at Yale (GiM)

Girls in Math at Yale is a mathematics competition hosted by Yale University. It gives high school students an opportunity to explore challenging mathematics, strengthen problem-solving skills, and participate in a supportive mathematical community.

Level High School
Focus Competitive Mathematics
Learn More →
22 HIGH SCHOOL

Carnegie Mellon Informatics and Mathematics Competition (CMIMC)

CMIMC is a high school competition that combines challenging mathematics with computer science and informatics. Students demonstrate mathematical reasoning, problem-solving ability, and computational thinking through individual and team events.

Level Advanced High School
Focus Math & Informatics
Learn More →
23 HIGH SCHOOL

Standard Math Tournament (SMT)

Standard Math Tournament is a mathematics competition designed for students who enjoy challenging mathematical problems. It provides opportunities to develop advanced problem-solving skills, mathematical reasoning, and competitive mathematics experience.

Level High School
Focus Advanced Problem Solving
Learn More →
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COMPETITION OVERVIEW

USA Math Competitions at a Glance

Explore the mathematics competitions covered in this guide. Compare the typical student level, competition format, and primary mathematical focus of each competition.

No. Competition Typical Level Primary Focus
01 Math Kangaroo Grades 1–12 Creative Problem Solving
02 Noetic Learning Math Contest Grades 2–8 Problem Solving & Mathematical Reasoning
03 MOEMS Math Olympiads Grades 4–8 Problem Solving & Logical Thinking
04 Purple Comet! Math Meet Middle & High School Team Problem Solving
05 MATHCOUNTS Grades 6–8 Speed, Accuracy & Problem Solving
06 Math League Multiple Grade Levels Competitive Mathematical Problem Solving
07 MathCON Middle & High School Mathematical Reasoning & Problem Solving
08 Continental Mathematics League (CML) Multiple Grade Levels Problem Solving & Mathematical Reasoning
09 AMC 8 Grade 8 & Below Middle School Mathematical Reasoning
10 AMC 10 Grade 10 & Below Advanced Problem Solving
11 AMC 12 Grade 12 & Below Advanced High School Mathematics
12 AIME Advanced Students Advanced Mathematical Problem Solving
13 USAJMO Advanced Students Olympiad Mathematics & Proof
14 USAMO Advanced Students Olympiad Mathematics & Proof
15 HMMT Grades 9–12 Advanced Individual & Team Problem Solving
16 ARML Grades 9–12 Team Mathematics & Advanced Problem Solving
17 USAMTS Grades 6–12 Proof, Reasoning & Detailed Solutions
18 Princeton University Mathematics Competition (PUMaC) High School Advanced Individual, Team & Proof-Based Mathematics
19 Berkeley Math Tournament (BMT) High School Advanced Individual & Team Problem Solving
20 Carnegie Mellon Informatics and Mathematics Competition (CMIMC) High School Mathematics, Informatics & Team Problem Solving
21 Girls in Math at Yale (GiM) High School Advanced Mathematical Problem Solving
22 Brown University Math Olympiad (BrUMO) High School Individual, Team & Advanced Problem Solving
23 Standard Math Tournament (SMT) High School Advanced Competitive Mathematics
24 MMATHS High School Advanced Individual & Team Mathematics
Competition eligibility can vary. Students should check the official competition rules and eligibility requirements for the specific competition year.

CHOOSE THE RIGHT COMPETITION

The right competition depends on your child's grade level, mathematical experience, interests, and goals. Explore the competitions below or filter by grade to find opportunities that match your student's current level.

01
ELEMENTARY & MIDDLE SCHOOL

Math Kangaroo

An international mathematics competition that introduces students to engaging mathematical questions, creative thinking, and problem-solving challenges.

Grades 1–12 Problem Solving Creative Thinking
02
ELEMENTARY & MIDDLE SCHOOL

Noetic Learning Math Contest

A problem-solving focused competition that encourages students to think creatively, apply mathematical concepts, and approach challenging problems with confidence.

Grades 2–8 Problem Solving Reasoning
03
ELEMENTARY & MIDDLE SCHOOL

MOEMS Math Olympiads

A mathematics problem-solving program designed to help students develop logical thinking, persistence, and confidence through challenging problems.

Grades 4–8 Problem Solving Logical Thinking
04
MIDDLE & HIGH SCHOOL

Purple Comet! Math Meet

A team-based mathematics competition where students work collaboratively to solve challenging mathematical problems and strengthen their competition experience.

Grades 6–12 Team Competition Problem Solving
05
MIDDLE SCHOOL

MATHCOUNTS

A major mathematics competition for middle school students that develops mathematical problem solving, strategic thinking, speed, and accuracy.

Grades 6–8 Speed & Accuracy Problem Solving
06
MULTIPLE GRADE LEVELS

Math League

Competitive mathematics opportunities that challenge students with mathematical problem solving across different grade levels.

Multiple Levels Problem Solving Competition
07
MIDDLE & HIGH SCHOOL

MathCON

A mathematics competition that gives students opportunities to apply mathematical knowledge, reasoning, and problem-solving skills in a competitive setting.

Middle School High School Problem Solving
08
MULTIPLE GRADE LEVELS

Continental Mathematics League (CML)

A mathematics competition program that gives students opportunities to practice mathematical reasoning and solve challenging problems throughout the school year.

Multiple Levels Problem Solving Reasoning
09
MIDDLE SCHOOL

AMC 8

A 25-question multiple-choice examination designed for middle school students and focused on mathematical reasoning and problem solving.

Grade 8 & Below 25 Questions Problem Solving
10
HIGH SCHOOL

AMC 10

A challenging high school mathematics examination covering topics such as algebra, geometry, number theory, counting, and probability.

Grade 10 & Below 25 Questions Advanced Problem Solving
11
HIGH SCHOOL

AMC 12

A high school mathematics examination that challenges students with advanced problems across a broad range of secondary mathematics topics.

Grade 12 & Below Advanced Mathematics Problem Solving
12
ADVANCED HIGH SCHOOL

AIME

An advanced invitational examination for students who qualify through the AMC program, featuring challenging problems requiring deeper mathematical reasoning.

Qualified Students 15 Questions Advanced Problem Solving
13
OLYMPIAD MATHEMATICS

USAJMO

An advanced proof-based mathematics competition for eligible students, emphasizing creative reasoning and rigorous mathematical solutions.

Advanced Students Proof Olympiad Mathematics
15
HIGH SCHOOL

HMMT

A high-level mathematics competition for high school students featuring challenging individual and team-based mathematical problem solving.

Grades 9–12 Individual Team Competition
16
HIGH SCHOOL TEAM COMPETITION

ARML

A major team mathematics competition where high school students work together on challenging mathematical problems and compete as teams.

Grades 9–12 Team Mathematics Advanced Problems
17
ADVANCED & OLYMPIAD

USAMTS

A proof-oriented mathematics competition that allows students to work through challenging problems and submit detailed mathematical solutions.

Grades 6–12 Proof Detailed Solutions
18
HIGH SCHOOL

Berkeley Math Tournament (BMT)

A challenging high school mathematics tournament featuring individual and team events that test mathematical creativity, speed, and advanced problem-solving skills.

High School Individual Team Competition
19
HIGH SCHOOL

PUMaC

A high-level mathematics competition hosted by Princeton University that challenges high school students through individual and team mathematical problem solving.

High School Individual Team Competition
20
HIGH SCHOOL

BrUMO

A mathematics competition for high school students emphasizing challenging problem solving, mathematical creativity, and competition experience.

High School Problem Solving Mathematical Creativity
21
HIGH SCHOOL

Girls in Math at Yale

A mathematics competition opportunity designed to encourage high school girls to explore challenging mathematics, strengthen problem-solving skills, and engage with a broader mathematical community.

High School Problem Solving Mathematical Community
22
HIGH SCHOOL

CMIMC

The Carnegie Mellon Informatics and Mathematics Competition challenges students with advanced mathematics and problem solving, with opportunities to compete across mathematical and computational disciplines.

High School Mathematics Advanced Problem Solving
23
HIGH SCHOOL

Stanford Math Tournament

A competitive mathematics tournament that gives high school students opportunities to tackle challenging problems and develop advanced mathematical reasoning through individual and team events.

High School Individual Team Competition
i

Competition eligibility, grade requirements, qualification rules, dates, and formats can change. Always check the official competition organization for the current year's requirements before registering.

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