HMMT is an annual high school math competition that started in 1998.[1][2] The location of the tournament, in Cambridge, Massachusetts, alternates between Harvard University (November tournament) and MIT (February tournament).[3] The contest is written and staffed almost entirely by Harvard and MIT students.[4][5]

Naming

HMMT was initially started as the Harvard-MIT Mathematics Tournament in 1998, and is frequently still referred to as such by much of the math community. In 2019, HMMT rebranded as just HMMT to meet requirements set forth by Harvard and MIT, making it an orphan initialism.

Tournament format

HMMT February is attended by teams of eight students each. Teams can represent a single school, or a regional math team as large as a state. In recent years, teams have represented over 20 states, as well as Africa, Asia, Europe, and South America.

HMMT February consists of three rounds: the Individual Round, the Team Round, and the Guts Round. No calculator or computational aids of any kind are allowed during the contest.

Individual Round

The Individual Round comprises the Algebra, Geometry, and Combinatorics exams for February, and the General and Theme exams for November. Each of the exams is 50 minutes in length and contains 10 questions. The exams are short-answer, meaning that the answers can be any real number or even an algebraic expression. Before 2012, competitors had the option to choose between a General exam or two exams in Algebra, Geometry, Combinatorics, or Calculus for the February tournament.

Team Round

For the February Team Round, the eight-person teams compete together on a 60-minute-long test. The Team Round is a collaborative event with proof-style problems, sometimes arranged into groups of several problems on the same theme. Thorough justifications are required for full credit. The Team Round is worth a total of 400 points, and problems are weighted according to difficulty. The event is similar to an ARML Power Round, but the problems are much harder and less numerous. This round is targeted at teams comfortable with rigorous mathematical proofs.

By contrast, the November Team Round is short answer style, similar to the individual rounds, but have slightly harder problems, and are worked on as a team.

Guts Round

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 (in February) or three (in November). 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, resulting in an exciting atmosphere for the competitors. The Guts round is worth a total of approximately 400 points.

Other events

HMMT February and November also feature events on the Friday evening prior to the tournament. Some of these events include a dinner and social for students and coaches, and Mini-Events such as math talks about famous problems and math-related games.

The top 50 competitors at HMMT February are also invited to compete in the Invitational Competition (HMIC), which is a five-question four-hour proof contest started in 2013. The problems are typically quite difficult: competitors can typically attain a high ranking by fully solving three problems.

Scoring and awards

HMMT uses a unique scoring algorithm to rank the competitors on the Individual Rounds. While the problems on these tests are weighted according to difficulty, they are done so after the testing has completed. As explained here,[6] this helps create a very fair method for weighting problems according to their actual difficulty (as determined by how often and by whom they were solved) as opposed to their perceived difficulty prior to the tournament. The weights assigned to each problem are calculated using a scoring algorithm that takes into account which problems were solved by which students. The weights of the problems on the Team and Guts Rounds are given on the tests.

Prizes are 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 is roughly half individual round performance and half collaborative round performance.

Difficulty

The difficulty of the competition is compared to that of ARML, the AIME, or the Mandelbrot Competition, though it is considered to be a bit harder than these contests. The contest organizers state that, "HMMT, arguably one of the most difficult math competitions in the United States, is geared toward students who can comfortably and confidently solve 6 to 8 problems correctly on the American Invitational Mathematics Examination (AIME)." As with most high school competitions, knowledge of calculus is not required; however, calculus may be necessary to solve a select few of the more difficult problems on the Individual Rounds.

Results

The results of HMMT February can be seen below:

Year Overall Champion Individual Champion Team Round Champion Guts Round Champion
2023 [7]LV FireJason MaoRandom Math Team AAlphaStar Academy AIR
2022 [8]Texas Momentum ALuke RobitailleTexas Momentum ATexas Momentum A
2021 [9]Motown All Stars ALuke RobitailleMotown All Stars ATexas Momentum A
2020 [10]Texas Momentum ALuke RobitailleTexas Momentum ATexas Momentum A
2019 [11]Texas Momentum ADaniel ZhuTexas Momentum AMoCoSwaggaSquad
2018 [12]AlphaStar Academy A* AirLuke RobitailleMoCoSwaggaSquadTJHSST
2017 [13]Phillips Exeter AcademyYuan YaoStar League A-StarPhillips Exeter Academy
2016 [14]Phillips Exeter AcademyYuan YaoPhillips Exeter AcademyFlorida A
2015 [15]Phillips Exeter AcademyAndrew HeStar League A-StarPhillips Exeter Academy
2014 [16]Phillips Exeter AcademyScott WuPhillips Exeter AcademyStar League A-Star
2013 [17]Phillips Exeter AcademyJames TaoPhillips Exeter AcademyPhillips Exeter Academy
2012 [18]Phillips Exeter AcademyXiaoyu HePhillips Exeter AcademyPhillips Exeter Academy
2011 [19]Saratoga High School/SFBAXiaoyu HeNorth CarolinaSaratoga High School/SFBA
2010 [20]Phillips Exeter AcademyBen GunbyTJHSSTAAST
2009 [21]TJHSSTIce PasupatLehigh Valley ARMLLehigh Valley ARML
2008 [22]Phillips Exeter AcademyBrian HamrickNew York City Math TeamQuagga
2007 [23]The WOOTlingsArnav TripathyThe WOOTlingsTJHSST
2006 [24]Phillips Exeter AcademyNimish RamanlalTJHSSTAAST
2005 [25]Phillips Exeter AcademyThomas MildorfTJHSSTFlorida
2004 [26]TJHSSTTiankai LiuTJHSSTPhillips Exeter Academy
2003 [27]TJHSSTTony ZhangTJHSSTAAST
2002 [28]Newton South High SchoolRicky LiuNewton South High SchoolLexington High School
2001 [29]Lexington High SchoolRicky LiuLexington High SchoolNewton South High School
2000 [30]Newton South High SchoolRicky LiuNewton South High SchoolNewton South High School
1999 [31]Newton South High Schooln/aNewton South High Schooln/a
1998 [32]Lexington High Schooln/aLexington High Schooln/a

HMMT November

HMMT November has been held since 2008 for teams of six students. Students are required to come from the United States to participate, and no student may compete in both November and February in a given school year. The tournament is similar in style to HMMT February, and is organized by the same Harvard and MIT students. Instead of three topic tests, HMMT November has two Individual Rounds: a General Test (ten questions from Algebra, Geometry, and Combinatorics) and a Theme Test (ten questions, many of which are tied together by a common theme). Additionally, the Team Round is entirely short answer, instead of proof-based. HMMT November is considered to be an easier alternative to HMMT February. The results of HMMT November can be seen below:

Year Overall Champion Individual Champion Team Round Champion Guts Round Champion
2022 [33]Westchester Area Math CircleQiao ZhangWestchester Area Math CircleTexas Tornado
2021 [34]Gunn BlackSteve ZhangPRISMS 2RSM A
2020November 2020 was run with no official results due to COVID-19
2019 [35]PRISMS FalconsYichen XiaoLong Island SuperPRISMS Falcons
2018 [36]Texas TornadoRaymond FengTexas TornadoTexas Tornado
2017 [37]Yu's AlligatorThomas DraperYu's AlligatorNNHS & Friends
2016 [38]Four Seasons Education2HouTin ChauPuiChingYu's Alligator
2015 [39]Shenzhen Foreign Languages SchoolYi Fan ZhuShenzhen Foreign Languages SchoolShenzhen Foreign Languages School
2014 [40]Phillips Exeter AcademyJianqiao XiaPhillips Exeter AcademyInternational Academy East
2013 [41]Beijing STFXGeyang QinPhillips Exeter AcademyBeijing STFX
2012 [42]Western Mass ARMLDhroova AiylamPhillips Exeter AcademyWestern Mass ARML
2011 [43]Phillips Exeter AcademyForest TongLexington High SchoolBrookline High School
2010 [44]Phillips Exeter AcademyRavi JagadeesanPhillips Exeter AcademyLexington High School
2009 [45]ABRHSXiaoyu HePhillips Exeter AcademyABRHS
2008 [46]Western Mass ARMLSam TrabuccoWestern Mass ARMLWestford Academy

Sponsors

HMMT is typically sponsored by a combination of school math departments and various industry companies. The full list, which changes annually, can be found on the HMMT homepage.[47]

Other competitions

HMMT hosts staff exchange programs with the Princeton University Mathematics Competition (PUMaC) and Carnegie Mellon Informatics and Mathematics Competition (CMIMC) to further collaboration between the competitions' organizers. During exchanges, participants ranging from first-year members to more senior officers spend the weekend proctoring, grading, and otherwise volunteering at the host competition day-of.

References

  1. ↑ Tallent-Runnels, Mary K.; Candler-Lotven, Ann C. (November 19, 2007). Academic Competitions for Gifted Students: A Resource Book for Teachers and Parents. Corwin Press. p. 69. ISBN 9781452294896. Archived from the original on October 21, 2023. Retrieved July 20, 2021.
  2. ↑ Dalal, Neha (November 12, 2012). "Students Compete in Harvard-MIT Math Tournament". The Harvard Crimson. Archived from the original on June 1, 2015. Retrieved February 11, 2018.
  3. ↑ "The Harvard-MIT Math Tournament". Hmmt.co. Archived from the original on September 25, 2020. Retrieved February 18, 2018.
  4. ↑ Wissner-Gross, Elizabeth (July 19, 2007). What High Schools Don't Tell You (And Other Parents Don't Want You toKnow): Create a Long-Term Plan for Your 7th to 10th Grader for Getting into the Top Colleges. Penguin. pp. 134–135. ISBN 9781101217719. Archived from the original on October 21, 2023. Retrieved July 20, 2021.
  5. ↑ Jager-Hyman, Joie (March 11, 2008). Fat Envelope Frenzy: One Year, Five Promising Students, and the Pursuit of the Ivy League Prize. HarperCollins. p. 151. ISBN 9780061257162. Archived from the original on October 21, 2023. Retrieved July 20, 2021.
  6. ↑ Scoring overview
  7. ↑ "Overall individual awards". Tournaments. Archived from the original on May 31, 2023. Retrieved September 4, 2023.
  8. ↑ "Overall individual awards". Tournaments. Archived from the original on October 21, 2023. Retrieved September 4, 2023.
  9. ↑ "Overall individual awards". Tournaments. Archived from the original on October 9, 2021. Retrieved September 4, 2023.
  10. ↑ "Overall individual awards". Tournaments. Archived from the original on July 20, 2021. Retrieved September 4, 2023.
  11. ↑ "Overall individual awards". Tournaments. Archived from the original on July 20, 2021. Retrieved September 4, 2023.
  12. ↑ "Overall individual awards". Tournaments. Archived from the original on July 20, 2021. Retrieved September 4, 2023.
  13. ↑ http://www.hmmt.co/static/archive/february/results/2017/short.htm
  14. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  15. ↑ Results hmmt.co
  16. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  17. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  18. ↑ Resultshmmt.co Archived February 11, 2018, at the Wayback Machine
  19. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  20. ↑ Results Archived 2018-02-12 at the Wayback Machine
  21. ↑ Results Archived 2018-02-12 at the Wayback Machine
  22. ↑ Results hmmt.co
  23. ↑ Results Archived 2018-02-12 at the Wayback Machine
  24. ↑ Resultshmmt.co Archived February 7, 2016, at the Wayback Machine
  25. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  26. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  27. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  28. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  29. ↑ Results hmmt.co
  30. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  31. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  32. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  33. ↑ "Overall individual awards". Tournaments. Archived from the original on December 10, 2022. Retrieved September 4, 2023.
  34. ↑ "Overall individual awards". Tournaments. Archived from the original on August 14, 2022. Retrieved September 4, 2023.
  35. ↑ "Overall individual awards". Tournaments. Archived from the original on July 21, 2021. Retrieved September 4, 2023.
  36. ↑ "Overall individual awards". Tournaments. Archived from the original on July 21, 2021. Retrieved September 4, 2023.
  37. ↑ "Overall individual awards". Tournaments. Archived from the original on July 21, 2021. Retrieved September 4, 2023.
  38. ↑ "Overall individual awards". Tournaments. Archived from the original on July 21, 2021. Retrieved September 4, 2023.
  39. ↑ Results hmmt.co
  40. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  41. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  42. ↑ Results hmmt.co
  43. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  44. ↑ Resultshmmt.co Archived February 12, 2018, at the Wayback Machine
  45. ↑ Results hmmt.co
  46. ↑ Results
  47. ↑ "HMMT". hmmt.org. Archived from the original on July 21, 2021. Retrieved July 20, 2021.
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