High school online mathematics competitions are a great way for you to strengthen your problem-solving skills while exploring concepts that go beyond a standard school curriculum. Many competitions challenge you to apply mathematical reasoning in new situations, work through complex problems, and think creatively under time constraints. Online competitions also make these opportunities more accessible by allowing you to participate from anywhere, often with flexible formats that accommodate different schedules and experience levels. Whether you’re interested in Olympiad-style questions, mathematical modeling, or team-based problem solving, online math competitions for high school students can help you build analytical skills while connecting with a broader community of students who share similar interests.
What do online math competitions for high schoolers include?
Online math competitions come in a variety of formats. Some focus on individual problem-solving and proof writing, while others emphasize collaboration through team rounds and mathematical modeling challenges. Depending on the competition, you may tackle topics such as algebra, geometry, combinatorics, number theory, probability, and data analysis. Certain events simulate real-world applications by asking you to develop mathematical models, analyze datasets, and communicate your findings through written reports. Others are designed to test speed, accuracy, and creative reasoning through timed exams and live competition rounds. Together, these experiences can help you develop mathematical thinking, communication skills, and confidence in approaching unfamiliar problems.
To help you find the right opportunity, we’ve compiled 15 online math competitions for high school students that offer challenging problems, flexible participation options, and the chance to engage with mathematics beyond the classroom.
If you’re also interested in applying quantitative thinking to emerging technologies, be sure to explore our guide to 15 AI competitions for high school students.
Key Takeaways
- Online math competitions for high school students span a wide range of formats, from speed-based individual contests like Math League and SIGMA Online to proof-based reasoning competitions like USAMTS and extended modeling challenges like HiMCM and M3 Challenge
- Most competitions on this list are free to enter, including USAMTS, Purple Comet, mathleague.org, HMMT Online, IMT, and NASA-style modeling challenges, making competitive math accessible regardless of school resources
- Team-based modeling competitions like M3 Challenge, HiMCM, and IM²C apply mathematics to real-world problems in public policy, economics, and engineering, offering a different skill set than traditional speed or proof-based contests
- Competitions vary in time commitment from single-day timed exams to multi-day modeling windows, so you can choose a format that fits your schedule and preferred style of mathematical thinking
1. The Math League International Summer Challenge
Location: Virtual
Cost/Prize: $66; Medals awarded
Dates: August 16
Application Deadline: Not specified
Eligibility: Several grade levels from grades 3-12
The Math League International Summer Challenge provides an online testing framework designed to evaluate individual mathematical proficiency on an international scale. The structure divides the competition day into two separate test formats consisting of a 60-minute Short Answer Contest containing 10 to 15 questions and a 45-minute Speed Round containing 60 rapid-fire questions. As a high school participant, you may encounter varied mathematical topics engineered to measure speed, accuracy, and foundational understanding under tight time constraints. Top scorers will receive medals, and all students will receive a certificate of participation.
2. American Math Olympiad (AMO)
Location: Virtual
Cost/Prize: Varies by region; Awards offered
Dates: Multiple competition windows throughout the academic year
Application Deadline: Varies by round and region
Eligibility: Students in grades 2–12
The American Mathematics Olympiad (AMO) is an international mathematics competition designed to assess problem-solving ability and mathematical understanding. As a competitor, you will complete a series of questions aligned with grade-level expectations while also tackling more challenging problems that require logical reasoning and creative thinking. The competition is organized by SIMCC and Southern Illinois University and is open to participants around the world. Questions draw from topics such as algebra, geometry, number theory, and mathematical reasoning. You’ll receive performance feedback that can help identify strengths and areas for improvement.
3. USA Mathematical Talent Search (USAMTS)
Location: Virtual
Cost/Prize: Free; Prize books, mathematical software, and T-shirts offered
Dates: 3 rounds/year (month-long)
Application Deadline: October 31
Eligibility: U.S. middle and high school students
The USA Mathematical Talent Search (USAMTS) is a proof-based mathematics competition that emphasizes mathematical reasoning and written communication. You’ll receive a set of challenging problems and have several weeks to develop and submit complete solutions. Unlike timed contests, USAMTS focuses on the quality of a student’s mathematical arguments rather than speed. Problems often draw from algebra, geometry, combinatorics, and number theory while encouraging creative approaches and rigorous proofs. You’ll receive feedback on your submissions, allowing you to refine your reasoning and problem-solving techniques over time.
4. Purple Comet! Math Meet
Location: Virtual
Cost/Prize: None
Dates: Students can complete the 90-minute exam any time between April 14 and 23
Application Deadline: Not specified
Eligibility: Middle and high school students
The Purple Comet! Math Meet is an international, online team math competition designed to foster collaborative peer group problem-solving. Teams must work synchronously within a rigid 90-minute time constraint to solve 30 distinct mathematical puzzles spanning diverse algebraic, geometric, and combinatorial topics. The questions scale sequentially in difficulty, requiring groups to delegate tasks and cross-reference answers effectively without the use of calculators. The competition rewards top-performing groups with certificates of merit and digital accolades.
5. mathleague.org High School Program
Location: Virtual
Cost/Prize: None
Dates: Several contests through the school year, culminating in a National and International Championship
Application Deadline: Rolling for each contest window
Eligibility: High school students (check qualifications here)
The mathleague.org High School Contest series provides a multi-tiered online competitive network that mirrors the structural flow of traditional athletic leagues. The high school competition track breaks down into localized virtual qualifying tournaments, progressing toward state, national, and international championship levels held at the end of the academic year. The individual contest architecture subjects students to a Sprint Round testing rapid calculation, a Target Round examining multi-step analysis, a Team Round fostering group synergy, and a Relay Round driving sequential accuracy. All contestants retain their submitted worksheets and receive comprehensive step-by-step solution keys immediately after testing concludes.
6. High School Mathematical Contest in Modeling (HiMCM)
Location: Virtual
Cost/Prize: $100 registration fee; Not mentioned
Dates: November 4 – 17
Application Deadline: November 4
Eligibility: Up to 4 high school students from the same institution
The High School Mathematical Contest in Modeling (HiMCM) challenges student teams to apply quantitative tools to interpret and resolve complex real-world situational problems. Teams choose from two open-ended data prompts and must research, construct, and write a comprehensive narrative report detailing their mathematical modeling solution during a 14-day window. The exercise demands proficiency in statistical analysis, programming fundamentals, differential equations, and technical writing. The submissions undergo a rigorous blind panel review by professional mathematicians and industrial engineers who score based on model accuracy, clarity, and viability.
7. MathWorks Math Modeling (M3) Challenge
Location: Virtual
Cost/Prize: Free (tentative); Scholarship awards of $100,000+
Dates: February 27 – March 2
Application Deadline: February 23
Eligibility: U.S. high school juniors and seniors; sixth-form students in England and Wales
The MathWorks Math Modeling Challenge is a math competition for high school students that allows you to apply mathematics and data analysis to a real-world problem over a continuous 14-hour work period. Your team will analyze datasets, make assumptions, develop mathematical models, and communicate your findings through a written report. Topics often involve public policy, environmental issues, economics, health, or technology. The competition introduces you to applied mathematics and quantitative decision-making beyond traditional classroom exercises. Teams may use online collaboration tools and optional MATLAB resources during preparation.
8. Stanford Math Tournament Online
Location: Virtual
Cost/Prize: $25-$35/student; Awards offered
Dates: April 19
Application Deadline: April 12
Eligibility: High schoolers and below
The Stanford Math Tournament is an online mathematics competition featuring both individual and team-based events. You’ll solve problems in subjects such as algebra, geometry, number theory, and combinatorics while also competing in collaborative rounds. Many problems require creative reasoning and the integration of concepts from multiple mathematical areas. Team rounds emphasize communication and coordinated problem-solving under time constraints, and you’ll develop contest mathematics skills while engaging with a broad international community of mathematically inclined peers.
9. SIGMA Online
Location: Virtual
Cost/Prize: None
Dates: May 20
Application Deadline: May 15
Eligibility: 10th-12th graders
Hosted by Mohawk College, SIGMA Online is a virtual mathematics competition designed to test problem-solving ability across multiple areas of mathematics and statistics. You’ll complete an examination consisting of questions that require analytical reasoning rather than memorization. The competition includes problems from algebra, functions, probability, statistics, and related mathematical topics, ranging from introductory to more challenging questions. You’ll work independently and submit responses through an online platform, gaining experience with contest-style thinking and structured mathematical argumentation.
10. International Math Bowl (IMB)
Location: Virtual
Cost/Prize: None
Dates: October 12 – 18 (Open Round) and December 7 (Final Round)
Application Deadline: September 30
Eligibility: Middle or high school students (18 or younger)
The International Math Bowl is a global online competition that combines traditional contest mathematics with a team-based bowl format. You’ll begin with an online qualifying round consisting of short-answer problems covering algebra, geometry, combinatorics, and number theory. Top-performing teams advance to a live buzzer-style final round where participants compete head-to-head. The competition is designed to test both mathematical knowledge and rapid problem-solving ability. You can compete as individuals or as members of a team, giving students experience solving Olympiad-style problems while collaborating with peers from around the world.
11. Integrated Mathematics Tournament (IMT)
Location: Virtual
Cost/Prize: Free; $400+ in total prizes
Dates: May 30
Application Deadline: Not specified
Eligibility: Students interested in applied mathematics
The Integrated Mathematics Tournament is a virtual competition that combines traditional contest mathematics with applied problem-solving. You’ll participate in rounds focused on algebra, geometry, number theory, and combinatorics, along with modeling and real-world data analysis. There are three rounds: the Integrated Round (traditional power round), the Team Round, and the Individual Round, all of which encourage students to connect abstract concepts with practical situations. You’ll develop mathematical reasoning, communication, and analytical skills while engaging with a global community of problem solvers.
12. Harvard-MIT Mathematics Tournament (HMMT) Online Tournament
Location: Virtual
Cost/Prize: None
Dates: Available once the in-person tournament (in November) ends
Application Deadline: None
Eligibility: Open to teams and individuals
The Harvard-MIT Mathematics Tournament (HMMT) Online Tournament is an online mathematics competition that allows you to engage with challenging contest-style problems from home. The online format is unofficial, but covers the same subjects as the in-person tournament, like algebra, geometry, combinatorics, and number theory. It’s designed to test creative problem-solving skills and the ability to apply mathematical concepts in unfamiliar situations. Through the tournament, you’ll gain experience with advanced mathematical problem-solving while engaging with a global community of math enthusiasts.
13. International Mathematical Modeling Challenge (IM²C)
Location: Virtual
Cost/Prize: Varies by country; Awards offered
Dates: A consecutive 5-day period between February 2 and April 27
Application Deadline: Varies by region
Eligibility: High school students with a faculty advisor
The International Mathematical Modeling Challenge (IM²C) is a team-based math competition that focuses on applying mathematics to real-world problems. Teams choose five days during the competition window to analyze an open-ended problem and produce a written report, using mathematical modeling, data analysis, and quantitative reasoning to develop solutions. The competition emphasizes communication skills alongside mathematical thinking, as you must clearly explain and justify your approach. The challenge is particularly valuable for students interested in applied mathematics, engineering, economics, or data science.
14. International Youth Math Challenge (IYMC)
Location: Virtual
Cost/Prize: 15 EUR for the Pre-Final round (financial aid available); Winners receive certificates and prizes worth over 1400 USD
Dates: November (Qualification Round), January (Pre-Final Round), February (Final Round)
Application Deadline: November 30 (Qualification Round)
Eligibility: High school and university students
The International Youth Math Challenge is an online mathematics competition that welcomes students from a wide range of mathematical backgrounds. You’ll begin with a qualification round consisting of proof-based and problem-solving questions that can be completed remotely. If you advance, you’ll continue through additional rounds that introduce more challenging mathematical concepts like algebra, geometry, combinatorics, number theory, and logical reasoning. You can work independently and progress through the challenge at your own pace within each round’s deadline.
15. International Math Optimization Challenge (IIMOC)
Location: Virtual
Cost/Prize: None
Dates: Competition opens May 1
Application Deadline: June 1 (submission deadline)
Eligibility: High school and university students
The International Math Optimization Challenge focuses on optimization problems that require students to design, test, and improve mathematical solutions over several weeks. Teams work on applied challenges involving strategy, resource allocation, and quantitative decision-making. You’ll need to iteratively refine your approach and track performance through a public leaderboard, with collaboration playing a significant role as you divide tasks, evaluate results, and improve solutions over time. The competition exposes students to mathematical optimization techniques that are widely used in operations research, computer science, and engineering.
One more option – Horizon Academic Research Program
If you’re looking for a competitive mentored research program in subjects like investigative journalism, media studies, political reporting, data journalism, and the ethics of news and information, consider applying to Horizon’s Research Seminars and Labs! This is a selective virtual research program that lets you engage in advanced research and develop a research paper on a subject of your choosing. Horizon has worked with 1000+ high school students so far and offers 600+ research specializations for you to choose from. You can find the application link here!
FAQ
What are online math competitions for high school students?
Online math competitions for high school students are virtual contests that test mathematical reasoning, problem-solving, and sometimes written communication or modeling skills. Formats range from timed individual exams covering algebra and geometry to team-based modeling challenges where you analyze real datasets and submit a written report. Most are open to participants regardless of location, making them accessible from anywhere.
Do I need advanced math knowledge to participate in these competitions?
It depends on the competition. SIGMA Online and Math League International Summer Challenge cover introductory to intermediate topics suitable for students without Olympiad-level training. USAMTS and HMMT Online lean toward more advanced reasoning and proof-writing skills. Modeling competitions like M3 Challenge and HiMCM require comfort with statistics, programming fundamentals, or differential equations, but team collaboration means you don’t need every skill individually.
Are there free online math competitions for high school students?
Yes. USAMTS, Purple Comet, mathleague.org, HMMT Online, SIGMA Online, IMT, International Math Bowl, and IIMOC are all free to enter. MathWorks M3 Challenge is tentatively free and offers scholarship awards exceeding $100,000. A few competitions, including HiMCM and Stanford Math Tournament, charge modest registration fees.
What is the difference between speed-based and proof-based math competitions?
Speed-based competitions like Math League and mathleague.org test how quickly and accurately you can solve a series of problems under strict time limits. Proof-based competitions like USAMTS give you several weeks to develop complete, rigorous written solutions, prioritizing the quality of your mathematical argument over speed. Both formats build different but complementary skills, and trying both can help you discover which style suits your strengths.
Which math competitions focus on real-world applications and modeling?
MathWorks M3 Challenge, HiMCM, IM²C, and IIMOC all center on applying mathematics to real-world problems, including public policy, economics, environmental issues, and optimization. These competitions typically involve team collaboration, data analysis, and a written report rather than a timed exam, making them well-suited for students interested in applied mathematics, data science, or engineering.
When should I register for online math competitions?
Deadlines are spread throughout the year. USAMTS registration closes October 31, International Math Bowl closes September 30, and IYMC’s qualification round closes November 30. MathWorks M3 Challenge closes February 23, and Stanford Math Tournament closes April 12. Many competitions, including Purple Comet, mathleague.org, and HMMT Online, have flexible or rolling participation windows. Reviewing competition calendars early in the school year helps you plan around major exams and other commitments.
Image source: mathleague.org