HMMT
Harvard-MIT Mathematics Tournament (HMMT) problems test advanced high school mathematical problem-solving across algebra, geometry, combinatorics, and proof-based reasoning.
HMMT Leaderboard
| Rank | Model | Provider | Score | Parameters | Released | Type |
|---|---|---|---|---|---|---|
| 1 | Gemini 3 Pro | 95.4 | Proprietary | 2025-11-18 | Multimodal | |
| 2 | Kimi K2 | Moonshot AI | 89.3 | 1T total, 32B activated | 2025-07-11 | Text |
About HMMT
Description
## Overview The Harvard-MIT Mathematics Tournament (HMMT) is one of the largest and most prestigious high school mathematics competitions in the world, founded in 1998. The tournament is entirely student-organized by undergraduate students at Harvard and MIT, many of whom are HMMT alumni themselves. ## Tournament Structure HMMT consists of two annual tournaments: ### November Tournament (at Harvard) - **Difficulty**: Mid-AMC to upper-AIME level - **Individual Rounds**: General and Theme exams (10 questions each, 50 minutes) - **Team Round**: 10 short answer problems - **Guts Round**: 36 problems in 12 sets of 3 (80 minutes, real-time scoring) ### February Tournament (at MIT) - **Difficulty**: Mid-AIME to olympiad level - **Individual Rounds**: Algebra, Geometry, and Combinatorics (10 questions each, 50 minutes) - **Team Round**: 10 proof-based problems with partial credit - **Guts Round**: 36 problems in 9 sets of 4 (80 minutes, real-time scoring) ## Scoring System HMMT uses a sophisticated post-weighted scoring algorithm for Individual Rounds. Problem weights are determined after testing based on actual difficulty (measured by solve rates and solver strength) rather than perceived difficulty. This creates a fairer scoring system that accurately reflects problem difficulty. **Sweepstakes Scoring**: - Individual rounds: up to 800 points (50%) - Team round: up to 400 points (25%) - Guts round: up to 400 points (25%) ## Difficulty Level HMMT is considered one of the most challenging high school mathematics competitions in the United States. The contest organizers state that HMMT is "geared toward students who can comfortably and confidently solve 6 to 8 problems correctly on the American Invitational Mathematics Examination (AIME)." The February tournament is comparable to or harder than ARML, AIME, or the Mandelbrot Competition, with problems ranging from mid-AIME difficulty to olympiad-level challenges. ## Format Details ### Individual Rounds - 10 short answer questions per exam - 50 minutes per exam - Answers can be real numbers or algebraic expressions - Problems weighted by difficulty and solve rates ### Team Round - **November**: 10 short answer problems (no proofs required) - **February**: 10 proof-based problems (partial credit available) - Teams of 4-6 (November) or 6-8 (February) work collaboratively ### Guts Round - Real-time grading and scoring - Problems divided into sets of increasing difficulty - Final set typically contains estimation problems worth 20 points each - Teams submit answers set-by-set and cannot return to previous sets - Live scoreboard shows all teams' progress ## Participation Each tournament draws close to 1,000 students from around the globe, including top scorers at national and international olympiads. The competition is open to all currently-enrolled secondary school students under the age of 21. ## Awards Prizes are awarded to: - Top 10 individuals overall - Top 10 scorers on each subject round - Top 10 teams on the Team round - Top 10 teams on the Guts round - Top 10 teams overall (Sweepstakes winners) ## Additional Events **Friday Night Events**: Social activities, corporate sponsor events, and mini-competitions (including Jane Street's Estimathon, Five Rings's Integration Bee, and HRT's Puzzle Hunt) **Sunday Education Events**: Talks from mathematics and computer science faculty from Harvard and MIT **HMIC (HMMT Invitational Competition)**: A five-question, four-hour, remote-proctored proof contest held in April for the top 50 February competitors
Methodology
HMMT evaluates model performance using a standardized scoring methodology. Scores are reported on a scale of 0 to 100, where higher scores indicate better performance. For detailed information about the scoring system and methodology, please refer to the original paper.
Publication
This benchmark was published in 1998.Official Website