# 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 Discrete, Algebra, Calculus, and Geometry. Alternatively, less experienced students may choose to take a single, longer General Test. Teams participate in a Team Round, a test that contains short answer questions and proof problems.

# Registration

While we would like to have as many participants as possible, we do have physical contraints limiting the number of contestants. Unfortunately, this means we may not be able to accomodate everyone who would like to participate.

In light of this, we have made several changes to the registration system.

All contestants must register under a school or institution. Each school or institution should only have one registration under its name. If there are multiple registrations for a single school or institution, we will notify both contacts to merge their registrations. Failure to do so will invalidate all registrations under the school or institution.

Homeschoolers may register under an institution `Lastname Homeschool`

. For
example, A homeschool student with the name `John Smith`

would register
under the name `Smith Homeschool`

.

We will be limiting registration to high school students, meaning students older than 14. In addition, only registrations from high schools in the San Francisco Bay Area will be accepted.

We recommend that schools register their teams in order of team strength. In other words, the first team should be the strongest team, the second team should be the next strongest team, and so on. We will be assuming this ranking system when inviting teams to the contest.

We will invite teams to participate using a multi-part process. The first teams from all registrations will initially placed in a lottery pool. If the total number of students from the first teams is less than capacity, then the first teams from all registrations will be invited, and we will repeat the process with the second teams from each registration. Otherwise, we will randomly select teams from the lottery pool until we reach capacity.

Note that there is *absolutely no advantage* to registering for SMT exactly
when it opens.

### Deadline and Fees

The registration deadline is 11:59 PM Pacific Time on January 19th. The fee is $20 per person, which includes both lunch and snacks. Unfortunately, we will not have t-shirts this year.

Registration may be possible after the deadline, but will be subject to availablility.

### Payment

Teams may pay online through Eventbrite or by cash on the day of the contest. Teams which have been selected to participate will receive an email with more details about paying via Eventbrite.

### Editing Registration Information

Adding additional team members after the registration deadline will be subject to availability; these changes are not guaranteed.

However, information that does not affect payment (e.g. contestant names, individual test selections, etc.) may be changed freely up until the day of the contest.

### Waviers

Each contestant must sign and bring a General Wavier, Medical Wavier, and Photo Release with them on the day of the contest or they will not be able to participate.

# Testing

### Team Portion

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

The **Team Round** is a 80-minute exam consisting of 15 short answer questions
and 5 proof questions, testing material from all areas of high school
mathematics.

### 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 Algebra, Calculus, Discrete,
and Geometry. The Discrete 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
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

The problems on the individual tests are all weighted the same. For the Team Round, each of the 15 short answer questions are worth 1 point, while each of the 5 proof questions are worth 3 points, for a total of 30 points.

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 10 for subject tests and 10 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 test, the normalized scores are multiplied by 100 to produce a weighted score.

A team's overall score is the sum of the weighted scores on the team test and all of the team members' individual tests. In this way, individual tests will be expected to contribute around 60% of a team's overall score, and the team test will contribute around 40%. The top scores on the team 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. 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. If a contestant believes that an answer key is incorrect, they must submit a protest form at 370-370. Protests must be submitted by 3:30 PM. Decisions by the SMT coordinators are final.

# Awards

Prizes will be awarded to the top three scorers on each individual test 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 2018 will run on Saturday, February 17, 2018.

## Schedule

Time | Event |
---|---|

8:30-9:15 | Check in |

9:30-10:50 | Team Round |

11:00-11:50 | Lunch |

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

1:00-1:50 | Second Individual Round |

2:00-4:20 | Break Time |

4:00-4:50 | Tiebreakers |

5:00-5:30 | Awards |