The Duke Math Meet (DMM) is a regional mathematics competition for high school students held at Duke University each year. The contest is organized by the members of the Duke University Mathematics Union (DUMU) and is sponsored by the Duke Mathematics Department.

The DMM lasts for one day from morning to afternoon, during which time the students have fun solving challenging mathematics problems while meeting new people and making friends with contestants from other schools and states.

**Registration for DMM 2020 is open! See below for details.**

DMM 2020 will be held on **Oct 31st **this year and will be an online event. There will be **no registration fees**. The meet will start at **10am **and conclude at **2pm**.

To register, go to Duke Math Meet REGISTRATION. If your school/organization already has an account from a previous DMM, you should be able to access it now. If your school/organization does not have an account yet or you are unable to access yours, please contact duke.mathmeet@gmail.com with the following information, and an account will be created for you:

- School/organization name, coach's name, school address, phone, and email.

As there will be no registration fee for participants and proctors, once your team information is submitted, registration will be complete.

**TEAMS**: Every school/club will be allowed up to **4 teams**, with at most **6 members **in each team. There will be **one proctor for each team**, who will mainly facilitate the contest for their team.

**FORMAT: **There will be an Individual Round, Team Round, Power Round, and Devil Round

For the **Individual Round**, we will require each school/club to proctor the test for their own students. The school/club should proctor the test in any means it deems to be appropriate, such as an invigilated test with webcams on or otherwise. Each student should submit his/her answers.

For the **Team Round, Power Round **and **Devil Round**, each proctor should set-up an online meeting for each team, where students from the same team can meet and discuss the problems with each other. Each team should submit one set of answers.

All submissions this year will be facilitated using Gradescope. More instructions on how to set up an account with the Duke Math Meet will be sent later.

If there are any issues throughout the contest (eg., clarification for a problem), they should be brought up to the proctor, who will relay it to the designated point of contact in the DMM organizing team.

Please let us know in advance of any alternative arrangements that are needed.

Results will be released online in about a week’s time.

**PROCTORS and CONTESTANTS**:

During any of the rounds, contestants are only allowed to use the internet to obtain the questions, submit their answers, and communicate between team members during the **Team Round, Power Round **and **Devil Round**.

No other form of usage of electronic devices (such as calculators, searching problems online) is permitted during the test. Contestants are not allowed to refer to external sources (other people, books etc.) for help. In other words, treat this as a usual contest apart from the use of the internet for communication.

**QUESTIONS**: If you have any questions, please contact (duke.mathmeet@gmail.com).

## Instructions to contestants and proctors:

During any of the rounds, contestants are only allowed to use the internet to obtain the questions, submit their answers, and communicate between team members during the **Team Round, Power Round **and **Devil Round**.

No other form of usage of electronic devices (such as calculators, searching problems online) is permitted during the test. Contestants are not allowed to refer to external sources, such as other people or books, for help. Treat this as a usual contest apart from the use of the internet for communication.

## Rounds of Math Meet

### Power Round

The Power Round is a **multi-part proof problem worth 25 points **that lasts for **60 minutes**. All the problems will be related to one overarching theme. The team members will work together on these problems. Answers should be given in the form of mathematical proofs, unless otherwise stated. All the necessary work to justify an answer and all the necessary steps of a proof must be shown clearly to obtain full credit. Partial credit may be awarded for answers that are incomplete but show significant progress toward a solution. On each sheet you turn in, indicate the problem number in the upper left-hand corner and your **team number **in the upper right-hand corner. **Do not write your team name anywhere **on your answers. Do not put answers to differently numbered problems on the same sheet. NO CALCULATORS ARE ALLOWED.

### Team Round

The Team Round consists of **ten questions **with numerical answers, and lasts **20 minutes**. Each question is worth 2.5 points, for a total of **25 points**. In this round, the team members will work together and turn in a single answer sheet. Follow the Numerical Answering

Guideline: all answers must be reduced to the lowest possible form; fractions and radicals need to be reduced. Irrational and imaginary numbers can be in the denominator, as long as they are in the most reduced form. Multiple answers (unless called for) and/or illegible answers will receive no credit. Leaving a question blank does not yield extra points, nor do wrong answers receive any penalties. NO CALCULATORS ARE ALLOWED.

### Individual Round

The round consists of 10 questions. Each question will be worth 1 point, for a total of 10 points. The answer, and only the answer, should be written in the designated space on the answer sheet provided by the proctor. Illegible and/or multiple answers will receive no credit. Leaving a question blank does not yield extra points, nor do wrong answers receive any penalties. All answers should follow the Numerical Answering Guideline.

As in all other rounds of the contest, NO CALCULATORS ARE ALLOWED. Each individual’s score is the sum of the scores of all 10 questions. Each individual’s score contributes equally to the team’s score from the individual round, for a total of **60 points**.

### Devil Round

This round is purely for fun and will not affect individual or team scores. Each team will receive a sheet of questions. Each problem will be worth the same value; correct answers will receive full credit but incorrect answers will not be penalized.

##### November 2019

##### November 2018

##### November 2017

- Power Round
- Power Round Solutions
- Individual Round
- Team Round
- Relay Round
- Tiebreaker
- Tiebreaker Solutions
- Devil Round

##### November 2016

- Power Round
- Power Round Solutions
- Individual Round
- Individual Round Solutions
- Team Round
- Team Round Solutions
- Relay Round
- Relay Round Solutions
- Tiebreaker
- Tiebreaker Solutions

##### November 2015

##### November 2014

##### February 2014

- Power Round and solutions
- Team Round and solutions
- Relay Round and solutions
- Individual Round and solutions
- Tiebreaker Round

##### November 2012

- Power Round Solutions
- Team Round and solutions
- Relay Round and solutions
- Individual Round and solutions
- Tiebreaker Round and solutions

##### November 2011

##### November 2010

##### November 2009

- Power Round
- Team Round
- Individual Round
- Devil Round
- Relay Round
- Tiebreaker Round
- Answers to above rounds (except power)

##### November 2008

- Power Round
- Team Round
- Individual Round
- Devil Round
- Relay Round
- Tiebreaker Round
- Answers to above rounds (except power)

##### November 2007

- Power Round
- Team Round
- Individual Round
- Devil Round
- Relay Round
- Tiebreaker Round
- Answers to above rounds (except power)

##### November 2006

##### November 2005

#### Winners of the 2019 Math Meet

##### Top five teams:

- PRISMS (Princeton International School of Mathematics and Science): Team Falcons
- Thomas Jefferson HS for Science and Technology: Team A
- Thomas Jefferson HS for Science and Technology: Team B
- NC School of Science and Math: Team
*e* - Thomas Jefferson HS for Science and Technology: Team C

##### Top five individuals:

- Jeffrey Liu, Panther Creek HS
- Yuxiao Tom Wang, PRISMS (tied for second)
- Reja Raj, TJHS for Science and Technology (tied for second)
- Ajit Kadaveru, TJHS for Science and Technology
- Tianze Peter Jiang, PRISMS

The 2019 Duke Math meet was held on Saturday, November 2nd, and was sponsored in part by Jane Street.

See Photos from the 2019 Competition