Harvard-MIT Mathematics Tournament

Harvard-MIT Mathematics Tournament 2012

The Harvard-MIT Math Touranment (HMMT) will take place on February 11, 2012 at Harvard.

The local November Tournament (HMNT) will take place on November 12, 2011 at MIT.

Registration is not yet open for either of our online tournaments. For more information, see here.

General Information
  • Events

Three individual tests (Algebra, Geometry, and Combinatorics) and two team events (the Team Round and the Guts Round) will comprise the major events of the Tournament.

We have two types of team tests. Each team can choose to take either the 'A team test' or the 'B team test'. The A team test will be composed almost exclusively of difficult proof problems. The B team test will have simpler proofs and/or short answer questions, designed so that teams with less experience with proof questions can have an enjoyable problem solving experience. The B team test is worth roughly 50% of the A team test for sweepstakes.

  • Participation

Each school may attempt to register up to 3 teams; a team comprises up to eight individuals. Starting in 2009 a team must also have a minimum of 6 individuals. We may not be able to allow all teams to attend; see our registration policy for details. The event is intended for high school students, but any student not yet in high school who wishes to compete is welcome to come. A coach may bring teams that include students from multiple schools or homeschooled students.


Testing Information

Beginning in 2012, the HMMT tournament staff has decided to move to a new individual format. All individuals will take the same three Subject Tests: Algebra, Geometry, and Calculus. Each test will have 10 short-answer problems and a 50-minute time limit. The new format will lead to more fair individual and team results.

The Guts Round is an 80-minute team event with 36 short-answer questions on an assortment of subjects, of varying difficulty and point values. Each team is seated in a predetermined spot, and the questions are divided into groups of four. At the starting signal, each team sends a runner to an assigned problem station to pick up copies of the first set of four problems for each team member. As soon as a team has answers for one problem set, the runner may bring the answers to the problem station and pick up the next set. It is not expected that students will finish all the problems. Grading is immediate and scores are posted in real time. The Guts round is worth a total of approximately 400 points. This event originated at the Greenhill High School Math Tournament in Texas, and it is similar to team ciphering at a Florida math tournament, only with a lot more people and excitement.

The A Team Round is a 60-minute collaborative event with 10 to 15 proof-style problems, arranged into groups of several problems on the same theme, which may come from any area of elementary mathematics. Thorough justifications are required for full credit. The Team Round is worth a total of 400 points; problems are weighted according to difficulty. The event is similar to an ARML Power Round, but the problems are easier and more numerous. This round is targeted at teams comfortable with rigorous mathematical proofs.

The B Team Round is a 60-minute collaborative event (at the same time as the A team round) with a mixture of 10 to 15 proof-style and short answer questions, which may come from any area of elementary mathematics. Thorough justifications are required for full credit on the proof questions. The B team test is worth roughly 50% of the A team test for sweepstakes.


Prizes will be given to the ten highest-scoring individuals overall, the top ten scorers on each of the subject rounds, the ten highest-scoring teams on the Team Round (A and B), and the ten highest-scoring teams on the Guts Round. The top ten teams overall will be named the Sweepstakes winners. The calculation of Sweepstakes scores will be roughly half individual round performance and half cooperative round performance.


Calculators and Other Computational Aids

You may not use books, notes, calculators, pocket organizers, slide-rules, abaci, or any other computational aids. Similarly you may not use graph paper, rulers, protractors, compasses, architectural tools, or any other drawing aids. In addition, communication devices such as laptops, PDAs, and cell phones are prohibited.

Grading Requirements

  • Scoring

Starting with the 2011 HMMT Tournament, there will be new scoring guidelines. An overview of the new scoring guidelines can be found in this PDF. A more technical explanation can be found in this PDF.

  • Answers

Complete description of acceptable answers can be found in this PDF.

  • Protests

If a student believes that an answer given on the answer key is incorrect, he must go to the designated Appeals Room and submit an appeal in writing. The deadline to do so will be announced on the day of the contest.



Decisions of the coordinators of the Harvard-MIT Math Tournament are final.

For more information please click http://mit.edu/hmmt/www/