**Unfortunately, SMT 2016 will not be taking place. It may still be held in future years.**

# Stanford Math Tournament Information

The Stanford Math Tournament consists of an individual contest portion and an overall team contest between teams of up to eight students. Students take two individual subject tests in the areas of Advanced Topics, Algebra, Calculus, and Geometry. Alternatively, less experienced students may choose to take a single, longer General Test. Teams participate in a Team Test and a Power Round, a multi-part proof-oriented test.

# Testing

### Team Portion

The entire team will collaborate to complete the Team Test and the Power Round. Teams may not collaborate with each other.

The **Team Test** is a 50-minute exam consisting of 15 short answer questions,
testing material from all areas of high school mathematics.

The **Power Round** is a 90-minute, multi-part, proof-oriented test. It focuses
on a single topic that will be revealed and introduced at the beginning of the
test.

### Individual Portion

Students may choose to take two Subject Tests or take the longer General Test. Students may not collaborate with each other on the individual tests.

The **Subject Tests** are 50-minute individual exams consisting of 10 short
answer questions. The subjects offered are Advanced Topics, Algebra, Calculus,
and Geometry. The Advanced Topics test covers probability, number theory, and
combinatorics.

The **General Test** is a 110-minute test that is designed for students with
less mathematical background. It is held at the same time as the subject area
tests and contains 25 short answer questions.

### Tiebreakers

Anyone tied for a top three position on an individual test will qualify for a tiebreaker. The tiebreaker will consist of three problems in the appropriate subject area and will last for 15 minutes. Participants submit answers to the problems as they solve them, and may answer the problems in any order. Participants will not be informed whether they submitted a correct answer until the end of the tiebreaker. Participants may submit multiple times for any of the problems, but only the last submission for a given problem will be graded.

Ties are first broken in favor of the participant who answers the most questions correctly. In the event that multiple participants solve the same number of problems, the tie is then broken by the time of the last correct submission: the tie is broken in favor of the participant with the earliest last correct submission.

In the unlikely event that a tie for a top three position still stands after the tiebreaker, we may allow the tie to stand, or we may hold a second tiebreaker for the participants that are still tied. The second tiebreaker will consist of one problem in the appropriate subject area. Participants may submit an answer to the problem at any time, and will immediately be told whether the answer was correct or incorrect. Participants may submit multiple times. The tie is broken in favor of the participant that solves the problem earliest.

### Mathematical Expectations

See the mathematical expectations document for guidelines on the topics that may appear on each test.

### Common Mathematical Notions

See the common mathematical notions document for details on mathematical conventions used at SMT.

### Acceptable Answer Formats

See the acceptable answer formats document for rules on answer simplification.

### Computational Aids

The following **may** be used during the contest

- Rulers, compasses, protractors, and graph paper
- Dictionaries (for contestants who need assistance with English)

The following **may not** be used during any testing portion of the contest

- Calculators
- Other computational aids, such as slide rules and abaci
- Reference materials, such as books and notes
- Communication devices, such as cell phones and computers
- Any drawing aids not expressly permitted

# Grading

### Scoring

Scores on each round are normalized to compensate for differences in difficulty between tests.

The procedure for score normalization is as follows. For each test, all scores are divided by the top ten average, which is the mean of the ten highest scores. For individual tests, the normalized scores are then multiplied by 50 for subject tests and 50 for the general test to produce a weighted score. This is to make the easier general test worth approximately 50% as much as two subject tests. An individual's total contribution to his/her team's overall score is the sum of the weighted scores on the two subject tests he/she took, or the weighted score on the general test. For the team and power tests, the normalized scores are multiplied by 400 to produce a weighted score.

A team's overall score is the sum of the weighted scores on the team test, the power test, and all of the team members' individual tests. In this way, individual tests will be expected to contribute around 50% of a team's overall score, and the team and power tests will each contribute around 25%. The top scores on the team, power, and individual tests can be determined using just the raw scores, while the final team results will be determined using this weighted scoring system.

If your team is not taking the team test, then your overall team score will be the same as if your team received a score of zero on the team test. It is highly recommended that your team takes the team test in order to maximize your final score. The same applies for the power test. Similarly, if an individual only takes one subject test (not the general test), then the individual's contribution to his/her team's overall score will be the same as if the individual received a score of zero on the second subject test.

### Protests

At the conclusion of each round of the tournament, answers and solutions for that round will be posted (in the Math Building for the individual tests and the Power Round, and in Hewlett Teaching Center for the Team Test). If a contestant believes that an answer key is incorrect, they must submit a protest form at room 381T in the Math Building, or at Hewlett 200 after the Team Test. Protests on the individual tests must be submitted by 2:30 PM, and protests on the power round and the team test must be submitted by 3:50 PM. Decisions by the SMT coordinators are final.

# Awards

Prizes will be awarded to the top three scorers on each individual test, the three highest-scoring teams on the power round, and the top three teams overall. In addition, we will recognize the top ten scorers on each individual test and the top ten percent of teams overall.

# Schedule

SMT 2015 will run on Saturday, February 14, 2015.

## Schedule

- | - |
---|---|

9:00-10:30 | Power Round |

- | Passing period |

11:00-11:50 | First Individual Round |

12:00-12:50 | Second Individual Round |

1:00-2:10 | Lunch |

2:20-3:20 | Team Round |

- | Passing period |

3:50-4:50 | Speaker and Tiebreakers |

5:00-5:30 | Break Time |

5:30-6:00 | Awards |