## Columbia Math Tournament (CMT) Rules

*Last Updated: January 2, 2015*

**General Rules**

- Contestants must be 19 years old or younger and must not be enrolled full-time at a university.
- Each team can have no more than six people. Teams with fewer than six people will be at a disadvantage.
- No aids other than writing instruments and paper will be allowed. In particular, no calculators will be allowed on any part of the competition, and any cell phones must be given to a coach or a proctor before the contest round begins.
- CMT will use the ARML mathematical conventions. Please make sure students are familiar with these conventions so that their answers are not marked wrong because they did not write their answers in simplest form.

**Specific Rules**

Note: The rules for specific rounds are subject to change.

*Team Round*

The team round will last for 75 minutes. The test will consist of eight proof-based questions.

- Not all rooms will have blackboards/whiteboard, so teams may not use blackboards/whiteboards if their room has one.
- Teams will be expected to fully justify their answers to the power question.
- Each question is worth 5 points, making the team round worth 40 points overall.

*Individual Round*

The individual round will last for an hour. The test will have fifteen questions worth 2 points each with numeric or algebraic answers. Like in the short answer part of the team round, students will not need to justify their answers to the individual round questions.

*Mixer Round*

In the mixer round, students will be grouped with students from other teams. This round will not count towards the students' or teams' scores. The format of the mixer round will be revealed on the day of the contest.

*Tiebreaker Round*

The top students with the same score in the individual round will be given a question to be solved in a certain period of time. The students will be able to submit an answer only once, and they will be ranked according to the time when they submit a correct answer. The exact format of the tiebreaker round will be revealed when the tests are handed out.

**Scoring**

*Individual Score*

An individual's score will be his or her score in the individual round. If ties must be broken to determine the ranks of the top students, the tiebreaker round will be used.

*Team Score*

A team's score will be the sum of its team round score and the individual round scores of its members. The rounds are weighted so that the sum of the individual round scores is worth as much as the team round score. If two teams are tied, the following criteria will be used, in order, until a winner can be determined:

- Highest team round score.
- The highest-numbered question on the short answer part of the team round answered correctly by one tied team but incorrectly by another.