Duke Math Meet

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.


DMM 2020:

As COVID-19 disrupted school life throughout the world, DUMU responded by hosting the 2020 Duke Math Meet online this past Halloween, October 31st.  Roughly 450 students from over 80 teams around the country participated in the 2020 Duke Math Meet. Because of the 12-hour time difference, four ITCCC teams from Beijing were permitted to participate late Saturday evening.

The Power Round, Team Round, and Individual Round proceeded as normal with the aid of the submission platform Gradescope.  For the Devil Round, teams had to estimate answers to questions such as guessing "the age of the oldest structure still in operation at Duke University."  Only the Relay Round had to be dropped. 

The first place team was The Jigglypuff Attacked from Thomas Jefferson HSST (Virgina):  Austin Feng, Eric Kim, Samuel Wang, David Wei, Alan Vladmiroff, and Isabella Zhu.

Math Meet 2020 winners

 

Top Five teams

1.  Thomas Jefferson HSST (VA):  The Jigglypuff Attacked
2.  PRISMS (NJ):  Falcons 
3.  Lexington HS (MA):  Alpha
4.  Thomas Jefferson HSST (VA):  The Jigglypuff Battled
5.  ITCCC (China):  Team 1

Top Individuals

1.  Samuel Wang, Thomas Jefferson HSST:  The Jigglypuff Attacked
2.  Tied for second:
      * Ethan Zhou, Bonnie Branch Math Circle:  Delta
      * 
Isaac Zhu, NCSSM:  Watermelon
      * Kevin Xia, Bonnie Branch Math Circle:  Delta
5.  Tianyue Daniel Cao, PRISMS:  Falcons

Many thanks to the DMM organizers Daniel Hwang, Steven Li, Yijia Liu, Feng Cong, Haoyang Yu, and the many other Duke students who created and graded the problems.

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 3pm.

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 are in the section below.

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 one 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.

SCHEDULE

10:00AM - 10:15AM

Opening Ceremony

 

10:15AM - 10:30AM

Setting Up 

Coaches to set up remote invigilation for their teams.

10:30AM - 11:30AM
(11:30AM - 11:45AM)

Power Round (60 mins)

15 minutes extra for uploading answers ONLY. Please note that we cannot accept any submissions after.

11:50AM - 12:10PM

Team Round (20 mins)

 

12:10PM - 1:10PM 

Lunch (1 hour)

 

1:15PM - 2:15PM

Individual Round (60 mins)

 

2:25PM - 2:45PM

Devil Round (20 mins)

 

2:45PM - 3:00PM

Closing Remarks 

 

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, with an extra 15 minutes for submission purposes. 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. Do not put answers to differently numbered problems on the same sheet. NO CALCULATORS ARE ALLOWED. After you finish, your team should scan the sheets you plan to submit to Gradescope and compile them into a series of images or one single PDF to be submitted onto Gradescope (either method is accepted). You must use the last 15 minutes in order to submit your work, as we will not be giving extensions to teams that cannot submit within this time period. As a result, we recommend that students have access to a camera on their phone to take photographs of their responses. If your team plans on submitting a PDF, we highly recommend downloading a mobile app that supports PDF scanning prior to the math meet, such as Tiny Scanner for Android or iOS, and submitting a test response to the Test Power Round.

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, and lasts 50 minutes. Each question will be worth 1 point, for a total of 10 points. Participants will spend 10 minutes on the first 2 questions, the next 10 minutes on the next 2 questions, and so on. 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.

 

Time

Activity

Instruction for proctors

The Day Before

Preparation

Please begin setting up the meetings for the teams. Ensure that there is a separate meeting room for each team. Please email us at duke.math.meet@gmail.com, preferably before 9AM the day of, if you require any troubleshooting.

10:00AM - 10:15AM

Opening Ceremony

Before opening up your meeting rooms, please join us in the main Zoom room for some introductory remarks and a general gathering. [ZOOM ROOM TBD]

10:15AM - 10:30AM

Setting Up 

Invite the contestants into their respective rooms, and wait until 10:25AM at the earliest for the contest to start.

Please please please: Take a photo of your team and share it with us by sending it to duke.mathmeet@gmail.com (we can also accept other forms of submission (e.g, Instagram), with prior notice). If you do this, your team will receive an additional point.

10:25AM:  Read the following instructions to the contestants:
At this time, please get any necessary supplies you might need for this test, including a #2 pencil and a good amount of paper (about 20 pages). A reminder that you are not allowed to seek external help during the contest, including searching on the internet, communicating with other teams, etc...

10:30AM - 11:30AM 

(11:30AM - 11:45AM)

Power Round
(60 mins)

10:26AM:  Read to contestants:
The Power Round is a multi-part proof problem worth 25 points that lasts for 60 minutes, with an extra 15 minutes for submission purposes. 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. Do not put answers to differently numbered problems on the same sheet. NO CALCULATORS ARE ALLOWED. 

11:20AM:  Read to contestants:
10 minutes left.

11:27AM:  Read to contestants:
3 minutes left.

11:30AM:  Read to contestants:
Time’s up. Please stop working on the problems and start uploading your answers immediately. You have 15 minutes to do so, after which you will not be able to submit your answers. After you complete this, you are allowed to take a break until 11:50AM, when the Team Round will begin.

Please assist your students in submitting responses as needed. A reminder that they can either submit a collection of images (jpg, png, etc..) or submit a single PDF. We do not have a preference for either, as long as the final work is legible. Text important personnel if you run into issues.

11:50AM - 12:10PM

Team Round
(20 mins)

11:47AM:  Read to contestants:
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 submission. At this time, please select a student that will submit the answers for your team. Leaving a question blank does not yield extra points, nor do wrong answers receive any penalties. NO CALCULATORS ARE ALLOWED.

12:05PM:  Read to contestants:
5 minutes left.

12:09PM:  Read to contestants:
1 minute left.

12:10PM:  Read to contestants:
Times up. Please submit your work. We will now take a 50 minute break for lunch before we begin the Individual Round.

1:15PM - 2:15PM

Individual Round
(60 mins)

 

Proctors , please ensure that students do not communicate with each other throughout.

1:10PM:  Read to contestants:
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 entered on Gradescope. 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.

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.

Reminder that for this round, you will have 10 minutes to work on each pair of problems. You are not allowed to work on multiple pairs of problems at a time.

1:15PM:  Read to contestants:
You may begin working on Problem 1 and 2.

1:20PM:  Read to contestants:
Five minutes.

1:24PM:  Read to contestants:
One minute.

1:25PM:  Read to contestants:
Times up.  (Ensure that everyone has submitted)
 

1:27PM:  Read to contestants
You may begin working on Problem 3 and 4.

1:32PM:  Read to contestants:
Five minutes.

1:36PM:  Read to contestants:
One minute.

1:37PM: Read to contestants:
Times up.  (Ensure that everyone has submitted)

1:39PM:  Read to contestants:
You may begin working on Problem 5 and 6.

1:44PM:  Read to contestants:
Five minutes.

1:48PM:  Read to contestants:
One minute.

1:49PM:  Read to contestants:
Times up.  (
Ensure that everyone has submitted)

1:51PM:  Read to contestants:
You may begin working on Problem 7 and 8.

1:56PM:  Read to contestants:
Five minutes.

2:00PM:  Read to contestants:
One minute.

2:01PM:  Read to contestants:
Times up.  (
Ensure that everyone has submitted)

2:03PM:  Read to contestants:
You may begin working on Problem 9 and 10.

2:08PM:  Read to contestants:
Five minutes.

2:12PM:  Read to contestants:
One minute.

2:13PM:  Read to contestants:
Times up. This concludes the Individual Round. Please take a 10 minute break and head to the main Zoom room for the Devil Round and closing remarks.

2:25PM - 2:45PM

Devil Round (20 mins)

Students (in your original teams) should now complete the Devil Round in their same rooms as before.

2:45PM - 3:00PM

Closing Remarks 

Make sure that you and your students return back to the main room for closing remarks.

Thank you so much for proctoring! Please let us know if you have any questions or concerns at duke.mathmeet@gmail.com

We are utilizing Gradescope in order to handle all submissions for this year. Here’s what you need to do in order to get ready for submission to the Duke Math Meet!

  1. Create an account with Gradescope under any email of your choosing.  ​​​​​​​Please make the account with your first and last name, matching the name your coach registered you as, in order to facilitate the grading process.
  2. Join the Duke Math Meet class with entry code 976REV. There should be a button on the lower right corner of your screen titled Add Course. Click that and type in the code above.
  3. General Notes
    1. For this year, all answers for the team and individual rounds are in integer format. Please only submit one number with no other formatting, such as commas or decimals.
      1. Accepted answers: “9”, “10”, “21”, “3964”
      2. Rejected answers: “9!”, “10.”, “21?”, “3,964”
    2. You are allowed to resubmit your work any number of times within your specified time limit.
  4. Power Round
    1. When everyone is ready, everyone should click on the Power Round and begin the round. The questions for the Power Round will be available as a PDF. Every student should download a PDF.
    2. As everyone is doing the test, team members should be writing their final answers/proofs for each problem on separate sheets of paper with the problem number clearly visible on the left on the upper left and team name on the upper right corner. An example is shown on the following page, generated using Tiny Scanner on Android.
    3. Once the first 60 minutes have elapsed, all team members should stop working on the test and switch towards submitting their answers. The last 15 minutes are only to be used for submitting responses to Gradescope. One student should then either gather everyone’s responses, scanned as PDFs, and compile them together into one PDF or gather everyone’s responses, taken as photographs, and submit a final collection of all those photographs.
    4. After you have done this, you are done with the Power Round!
      Gradescope image DMM

 

  1. Team Round
    1. Before the round, select a scribe for your team. That person’s responses will be the only ones that are graded for the team.
    2. When everyone is ready, everyone should click on the Team Round and begin the round. The round questions should appear on everyone’s screen.
    3. Collaborate over the next 20 minutes and solve the problems to the best of your ability! Remember that only the scribe’s responses will be graded, so ensure that your team is typing in your agreed-upon responses on that person’s submission. After 20 minutes are done, you are done with the Team Round!
  2. Individual Round
    1. Unlike the previous two rounds, everyone will complete this round individually. When your proctor gives you permission to begin, click on the appropriate set of the Individual Round Problems (which will be made available at 12:25PM, 12:35PM, 12:45PM, 12:55PM, and 1:05PM EDT). 
    2. You are only permitted to answer one set of individual round problems at a time. Please follow your proctor’s instructions and do not go ahead.
    3. Remember that you cannot make any Internet searches nor communicate with others while completing the Individual Round. After you complete all 5 sets of individual problems, you are done with the Individual Round!

Test Rounds on Gradescope!

Test rounds for each of the Power Round, Individual Round, and Relay Round are all available now on Gradescope, consisting of the 2019 DMM problems. If you want some practice before the real thing (and to get familiar with submitting your answers), get your team together and complete the test rounds! We especially recommend submitting a test response for the Power Round, as that round involves submitting your responses together as a single PDF or as a collection of images. Note that scores from these rounds will not be graded nor factor towards the 2020 DMM scores.

October 2020
Download Power Round (pdf - 122.67 KB)

 

November 2019
November 2018
November 2017
November 2016
November 2015
November 2014
February 2014
November 2012
November 2011
November 2010
November 2009
November 2008
November 2007
November 2006
November 2005

Winners of the 2020 Math Meet

Math Meet 2020 winners

 

Winners of the 2019 Math Meet

PRISMS Team members
DMM 2019 Team winner PRISMS: Tianyue Daniel Cao, Yichen Cedric Xiao, Jingdong Daniel Xiang, Tianze Peter Jiang, Yuxiao Tom Wang, Yuxuan Wendy Zheng
Top five teams:
  1. PRISMS (Princeton International School of Mathematics and Science):  Team Falcons
  2. Thomas Jefferson HS for Science and Technology:  Team A
  3. Thomas Jefferson HS for Science and Technology:  Team B
  4. NC School of Science and Math:  Team e
  5. Thomas Jefferson HS for Science and Technology:  Team C
Top five individuals:
  1. Jeffrey Liu, Panther Creek HS
  2. Yuxiao Tom Wang, PRISMS (tied for second)
  3. Reja Raj, TJHS for Science and Technology (tied for second)
  4. Ajit Kadaveru, TJHS for Science and Technology
  5. Tianze Peter Jiang, PRISMS
2019 Math Meet Individual Winners
2019 DMM Top Individuals: Liu, Jiang, Wang, Kadaveru, Raj

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