Practice & Preparation

Harvard-MIT Mathematics Tournament Past Papers

Practice with previous Harvard-MIT Mathematics Tournament (HMMT) problem sets. These past papers cover a variety of mathematical topics and rounds, helping students strengthen problem-solving skills and prepare for HMMT-style competition.

Algebra & Number Theory — February

2019
Algebra & Number Theory
HMMT Feb 2019 Algebra PDF
2020
Algebra & Number Theory
HMMT Feb 2020 Algebra PDF
2021
Algebra & Number Theory
HMMT Feb 2021 Algebra PDF
2022
Algebra & Number Theory
HMMT Feb 2022 Algebra PDF
2023
Algebra & Number Theory
HMMT Feb 2023 Algebra PDF
2024
Algebra & Number Theory
HMMT Feb 2024 Algebra PDF
2025
Algebra & Number Theory
HMMT Feb 2025 Algebra PDF
2026
Algebra & Number Theory
HMMT Feb 2026 Algebra PDF

Combinatorics — February

General Round — November

2018
General Round
HMMT Nov 2018 General PDF
2019
General Round
HMMT Nov 2019 General PDF
2020
General Round
HMMT Nov 2020 General PDF
2021
General Round
HMMT Nov 2021 General PDF
2022
General Round
HMMT Nov 2022 General PDF
2023
General Round
HMMT Nov 2023 General PDF
2024
General Round
HMMT Nov 2024 General PDF
2025
General Round
HMMT Nov 2025 General PDF

Geometry — February

Guts Round — February

2019
Guts Round
HMMT Feb 2019 Guts PDF
2020
Guts Round
HMMT Feb 2020 Guts PDF
2021
Guts Round
HMMT Feb 2021 Guts PDF
2022
Guts Round
HMMT Feb 2022 Guts PDF
2023
Guts Round
HMMT Feb 2023 Guts PDF
2024
Guts Round
HMMT Feb 2024 Guts PDF
2025
Guts Round
HMMT Feb 2025 Guts PDF
2026
Guts Round
HMMT Feb 2026 Guts PDF

Guts Round — November

2018
Guts Round
HMMT Nov 2018 Guts PDF
2019
Guts Round
HMMT Nov 2019 Guts PDF
2020
Guts Round
HMMT Nov 2020 Guts PDF
2021
Guts Round
HMMT Nov 2021 Guts PDF
2022
Guts Round
HMMT Nov 2022 Guts PDF
2023
Guts Round
HMMT Nov 2023 Guts PDF
2024
Guts Round
HMMT Nov 2024 Guts PDF
2025
Guts Round
HMMT Nov 2025 Guts PDF

Team Round — February

2019
Team Round
HMMT Feb 2019 Team PDF
2020
Team Round
HMMT Feb 2020 Team PDF
2021
Team Round
HMMT Feb 2021 Team PDF
2022
Team Round
HMMT Feb 2022 Team PDF
2023
Team Round
HMMT Feb 2023 Team PDF
2024
Team Round
HMMT Feb 2024 Team PDF
2025
Team Round
HMMT Feb 2025 Team PDF
2026
Team Round
HMMT Feb 2026 Team PDF

Team Round — November

2018
Team Round
HMMT Nov 2018 Team PDF
2019
Team Round
HMMT Nov 2019 Team PDF
2020
Team Round
HMMT Nov 2020 Team PDF
2021
Team Round
HMMT Nov 2021 Team PDF
2022
Team Round
HMMT Nov 2022 Team PDF
2023
Team Round
HMMT Nov 2023 Team PDF
2024
Team Round
HMMT Nov 2024 Team PDF
2025
Team Round
HMMT Nov 2025 Team PDF

Theme Round — November

2018
Theme Round
HMMT Nov 2018 Theme PDF
2019
Theme Round
HMMT Nov 2019 Theme PDF
2020
Theme Round
HMMT Nov 2020 Theme PDF
2021
Theme Round
HMMT Nov 2021 Theme PDF
2022
Theme Round
HMMT Nov 2022 Theme PDF
2023
Theme Round
HMMT Nov 2023 Theme PDF
2024
Theme Round
HMMT Nov 2024 Theme PDF
2025
Theme Round
HMMT Nov 2025 Theme PDF
Practice Tip: Students can use these HMMT papers as timed practice, attempt different rounds independently, and review their solutions afterward to improve mathematical reasoning, accuracy, and competition readiness.
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