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Berkeley Math Tournament

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AIME 2024 Problems and Solutions are available on our AIME page

BMT Information

What is BMT?

  • The Berkeley Math Tournament tournament aims to instill an appreciation for mathematics in teams of high school students and to prepare them for future mathematical endeavors.
  • For competitions, the maximum number of students is 6 people per team.
  • Please note: It is in your interest to maximize the number of people on a team. Teams that have less than the maximum number of people will receive scores of 0 on any missing individual rounds.

Syllabus & Schedule

  • Including but not limited to
  • - Arithmetic and Logic
    - Algebra
    - Geometry
    - Number Theory
    - Counting and Probability
  • BmMT 2023 will be held in-person at UC Berkeley Campus:

    November 2, 2024
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Criteria & Format

The format of the test consists of several competition rounds outlined below. Refer to the official BMT website for more information.
Criteria to Qualify
There are no prerequisites to participate in this competition.

Please note, however, this is a competition for high school students.
Puzzle Round
Individual Round
Tiebreaker Round
Pacer Round
Team Round

More Information About Format

The format of the test consists of several competition rounds outlined below.

Puzzle Round-Tournament Weekend Day 1

The puzzle round consists of a variety of mathematical challenges designed to promote inductive reasoning and lateral thinking. The team’s performance on this round contributes 20% to the overall team score.

The specific skills and techniques requisite for the puzzle round will be kept secret until the day of the tournament, and as such, no example problems will be provided. However you can look at the archive for examples from previous years.

The puzzle round will take approximately 90 minutes to complete, 60 minutes for the actual contest and 30 minutes for setup and an instructional reading period.

The rounds will take place over a Zoom Webinar. More information on the logistics of each contest will be released soon at

Individual Round - Tournament Weekend Day 1

Held live on Zoom, the Individual Round is 20 Questions for 60 minutes.

Contestants will take the test live on a Zoom call. More details about the logistics of such a zoom call will be released soon. Tests will be released via Gradescope. Information on how to create a Gradescope account will be released soon

Tiebreaker Round - Tournament Weekend Day 2

Tiebreakers will be held live on Zoom.

Coaches will be informed via email and contestants will be invited with a Zoom link to participate in the tiebreaker round after the grading period concludes. The official website's announcement page will be updated with a notice that tiebreaker invitation emails have been emailed out to coaches.

Learn more at

Pacer Round- Tournament Weekend Day 2

The pacer round consists of 20 short answer questions, to be answered in a Kahoot-style quiz. Each question has a time limit of 1 minute, and students may work with their teams on questions.

The team’s performance on this round contributes 10% to the overall team score. We will likely be using the site Mentimeter for our round. Students will simply need to click on a link provided to them at a the start of the round. The round will be over a Zoom Webinar, but more information on the round will be released later.

Team - Tournament Weekend Day 2

Live on a Zoom Webinar after the Tiebreaker Round.

The round is 20 questions and will last for 30 minutes. The exam will be released on Gradescope on the day of the competition. Each team will submit one answer for each question on Gradescope. The team will have a specific account on Gradescope for taking the test.


Individual: To calculate individual score,  the average of every team member's score on their individual portion if the team has 3, 4, or 5 members is taken. If the team has less than 3 members, we will add 0's until the team has reached at least 3 scores, of which we will take the average. In total, this will account for 40% of the score.

Team round will account for 30% of the overall score.

Puzzle round will account for 20% of the overall score.

Pacer round will account for 10% of the overall score.

All scores for a given round will be normalized by either the top 10 or the top 10% of scores, whichever is bigger.

Results for BMT

Random Math students excelled at the high school version of this tournament (BMT) held 2021
  • Random Math had 7 students place top 10 in individual awards and had 13 students perform in the top 20% (distinguished honor roll)
  • 2 Random Math teams placed in the top 4 for team awards, and a Random Math team took home 1st place for overall.
See List of Awardees
individual Awards
DIstinguished honor roll
Team awards
Overall Sweestakes

Question & Solution Archive

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