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Math

Purple Comet! Math Meet

A free, online, team-based maths contest open to any school or club in the world.

Run by Purple Comet Math Meet

Key facts

Eligible grades
Middle school and high school, or the local equivalent, and home-schooled students at a comparable level. Competitive middle school members must not yet have completed eighth grade; competitive high school members must not yet have graduated from secondary school.
Source, checked 2026-09-02
Official divisions
Two papers: middle school teams answer 20 problems in 60 minutes, high school teams 30 problems in 90 minutes. A student eligible at middle school level may also compete on a high school team.
Based on the organiser's own divisions.
Eligible ages
Competitive middle school team members must be under 16 on the date of the competition. Competitive high school team members must be under 20 on the date of the competition.
Purple Comet publishes both a grade condition and an age condition and BOTH must be met for competitive categories. Non-competitive team membership is not restricted in any way, so anyone can take part for the experience without meeting these limits.
Source, checked 2026-09-02
Individual or team
Team · Teams of 1 to 6 students. A student may not be on more than one middle school team or more than one high school team, though a student eligible at middle school level may also compete on a high school team. Each team must have an adult supervisor, and a supervisor may register as many teams as they want.
Where it runs
Online · International
Entry cost
FreeFree to enter and free since 2003. The organisers note that running it costs them a substantial amount each year and welcome donations, which are not tax-deductible since AwesomeMath is not a nonprofit. Entrants pay nothing.
Registration deadline
Team registration opens 1 February and continues through to the end of the competition, so there is no separate registration cut-off before the contest window closes. 187 days leftCheck purplecomet.org for the exact contest window and registration cut-off each year.
Competition dates
The 2027 contest runs Tuesday 6 April to Thursday 15 April 2027, a 244-hour window within which teams choose their own start time. The competition closes at 4:00 AM UTC on Friday 16 April 2027, answers are posted about 6:00 PM UTC that day, and results about 6:00 PM UTC on Monday 19 April 2027.
Difficulty
Some preparation neededYou will want a few weeks of targeted practice. Most motivated students place respectably.
Prizes
Certificates and public rankingsAward certificates for winning teams and participation certificates for all. No cash prizes.

What Purple Comet! Math Meet is

Purple Comet is a free international team mathematics competition held online each spring. Teams of up to six students work together on a problem set for 60 or 90 minutes and submit integer answers through a web form. There is no qualification, no fee, and no travel, which makes it one of the easiest legitimate competitions for a new maths club to enter.

How the competition works

Middle school teams get 20 problems in 60 minutes; high school teams get 30 problems in 90 minutes. Every answer is a nonnegative integer. Team members are encouraged to work together. Where multiple teams compete at the same site simultaneously, each team must use a different computer, because the site continuously displays answers a team has already submitted. Students must not discuss problems with anyone outside their team until the whole competition closes.

Eligibility notes

Teams must be supervised by an adult. Teams of fewer than six are allowed and compete in the same division.

How to register

  1. Find a teacher, coach or parent willing to act as the supervising adult. This is required.
  2. The supervisor registers the team on purplecomet.org during the registration window and receives a team ID and password.
  3. Choose a start time within the contest window that suits your team.
  4. On contest day, download the problems, work together, and submit answers through the online form before your timer expires.

Register on the official site

What skills you need

  • Collaborative problem solving
  • Algebra
  • Combinatorics
  • Geometry
  • Dividing work under time pressure

How to prepare

Purple Comet is the best low-stakes way to learn team competition mechanics. The mathematics sits between AMC 10 and AIME difficulty, but because you work as a team the binding constraint is coordination, not knowledge.

What to study

Algebra and number theory
Comparable to AMC 10 and easier AIME material. Answers are always non-negative integers, which constrains the problem types.
Combinatorics
Counting arguments feature heavily and often carry the hardest problems on the paper.
Geometry
Usually computational rather than proof-based, with an integer or integer-expressible answer.
Team process
Splitting the paper, checking each other's arithmetic, and deciding when to escalate a stuck problem to a second solver.

Full preparation guide, including a week-by-week plan

Recommended resources

Past problems and materials

Only materials the organiser or an authorised archive publishes openly are listed here.

Frequently asked questions

Do we need a school to enter?

No, but you do need an adult supervisor. Home school groups, math circles and community clubs enter regularly.

Can we compete with fewer than six students?

Yes. Smaller teams compete in the same division without adjustment, so a full team is an advantage, but a team of three is entirely legitimate.

Is it really free?

Yes. Purple Comet has no entry fee, and all past papers and solutions are published openly on the official site.

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