Stanford Math Tournament

The Stanford Math Tournament (SMT) is an annual student-run math competition for high school students held at Stanford University. SMT aims to encourage interest in math by providing students from around the world an opportunity to work on fun and challenging problems and to meet other students interested in math.

SMT

Subscribe to the SMT mailing list to receive announcements about SMT.

Update on SMT 2021

Registration for SMT 2021

Registration for SMT 2021 is open from March 1st through 19th! Please visit the registration website to register for SMT 2021.

SMT 2021 will be taking place virtually on Saturday, April 17th 2021, tentatively from 8am - 5pm PT! Our tournament is open to any organization in the U.S. (not just the Bay Area!). Any high school student (age 14 and older) who is currently in the U.S. is permitted to compete.

Registration will open on March 1st at noon and close at 11:59 PM Pacific Time on March 19, 2021. Late registration will close on March 26. Due to capacity constraints, registering before the deadline does not guarantee a spot in the tournament. Instead, registration will be done on an application basis. Late registration may still be possible after the deadline, but will be subject to availablility.

For more details about our tournament, check out the information page.

About SMT

Stanford Math Tournament (SMT) is run by Stanford students.

Teams compete in groups of up to eight students. The contest consists of an individual portion as well as a team portion.

Team Portion

The Team Round is an 50-minute exam consisting of 15 short answer questions.

Power Portion

The Power Round is an 80-minute exam focused on proof-writing. The content of the test focuses on a single subject matter that is usually significantly different than traditional competitive math problems.

Guts Portion

The Guts Round is an 80 minute team exam consisting of 9 series of 4 questions each, whereby teams must submit answers to a previous round in order to gain access to the next. Subsequent rounds are both harder and worth more points than previous rounds, culminating with the final round which is estimation-based, with your score determined by how close you are to the actual answer.

Individual Portion

Students may choose to take two subject tests in a specific topic or take a single, longer General Test.

The Subject Tests are 50-minute exams consisting of 10 short answer questions. The subjects offered are Algebra, Combinatorics, Number Theory, and Geometry.

The General Test is a 110-minute exam consisting of 25 short answer questions that is designed for students that have less mathematical background.

For full rules and more detailed information, see our SMT info page.

SMT Contest Information

Frequently Asked Questions

Make sure to check the rules page for detailed information regarding SMT. If your question is not answered below, feel free to contact the SMT coordinators at stanford.math.tournament at gmail.com.

Registration

Q: How many students may be on a team?

A: Teams consist of 8 students.

Q: Can I participate in SMT remotely?

A: Yes! The competition will be held online this year and will be open to all US students.

Q: Do students on the same team have to be from the same school?

A: Yes, with one exception. Established math institutions such as A-Star and Euler Circle are invited to send teams with students that do not attend the same high schools.

Q: What schools can participate in SMT?

A: SMT 2021 will be open to any US schools. This is a change from the Bay Area only policy last year.

Q: Can international teams participate in SMT? If so, how do they register?

A: No, unfortunately we will be limiting registration to US based students

Testing

Q: Are calculators allowed?

A: No. Calculators are not allowed on any portion of the tests. Check the SMT rules for information on permitted items.

Q: What topics may appear on the tests? How hard are the tests?

A: See the mathematical expectations document for guidelines on what topics may appear on each test. It is also advisable to look at the test from previous years in order to get a sense of the typical style and difficulty of SMT tests.

Q: Which individual test should I take?

A: If you have little or no experience with contest math, we strongly recommend you take the General Test. Looking at past tests will help you get a sense of the difficulty of each test.

Logistics

Q: Do we need to have a teacher or coach attend SMT in person?

A: No, you are not required to have a teacher or coach at the tournament.

Q: Can I use the problems from previous SMT tests listed below in my classroom/book/etc?

A: Yes! Feel free to use these problems provided you cite us.

Previous Tournaments

Check out previous years' tests to get a feel for the kind of problems that might appear on this year's SMT tests. You can also view the solutions for these problems to practice solving them yourself.

SMT 2021

Tests

Subject Problems Solutions
Team Problems Solutions
Algebra Problems Solutions
Number Theory Problems Solutions
Combinatorics Problems Solutions
Geometry Problems Solutions
General Problems Solutions
Guts Problems Solutions
Power Problems Solutions

Tiebreakers

Subject Problems Solutions
Algebra Problems Solutions
Number Theory Problems Solutions
Combinatorics Problems Solutions
Geometry Problems Solutions
General Problems Solutions

SMT 2020

Tests

Subject Problems Solutions
Team Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Discrete Problems Solutions
Geometry Problems Solutions
General Problems Solutions
Power Problems Solutions

Tiebreakers

Subject Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Discrete Problems Solutions
Geometry Problems Solutions
General Problems Solutions

SMT 2019

Tests

Subject Problems Solutions
Team Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Discrete Problems Solutions
Geometry Problems Solutions
General Problems Solutions
Power Problems Solutions

Tiebreakers

Subject Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Discrete Problems Solutions
Geometry Problems Solutions
General Problems Solutions

View results

SMT 2018

Tests

Subject Problems Solutions
Team Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Discrete Problems Solutions
Geometry Problems Solutions
General Problems Solutions

Tiebreakers

Subject Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Discrete Problems Solutions
Geometry Problems Solutions
General Problems Solutions

View results View coordinators

SMT 2014

Tests

Subject Problems Solutions
Team Problems Solutions
Power Problems Solutions
Advanced Topics Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Geometry Problems Solutions
General Problems Solutions

Tiebreakers

Subject Problems Solutions
Advanced Topics Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Geometry Problems Solutions
General Problems Solutions

Power Round Bibliography

View results View coordinators

SMT 2013

Tests

Subject Problems Solutions
Team Problems Solutions
Power Problems Solutions
Advanced Topics Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Geometry Problems Solutions
General Problems Solutions

Tiebreakers

Subject Problems Solutions
Advanced Topics Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Geometry Problems Solutions
General Problems Solutions

Power Round Bibliography

View results View coordinators

SMT 2012

Tests

Subject Problems Solutions
Team Problems Solutions
Power Problems Solutions
Advanced Topics Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Geometry Problems Solutions
General Problems Solutions

Tiebreakers

Subject Problems Solutions
Advanced Topics Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Geometry Problems Solutions
General Problems Solutions

Power Round Bibliography

View coordinators

SMT 2011

Tests

Subject Problems Solutions
Team Problems Solutions
Power Problems Solutions
Advanced Topics Problems Solutions
Algebra Problems Solutions
Calculus Problems Solutions
Geometry Problems Solutions
General Problems Solutions

View coordinators

If you are missing some information that was on our old site but is not here on this page, you can view the old SMT home page here.