The Final Round will take place  on SUNDAY January 26, 2020 on the UNC campus. This is the first year the Final Round will be on a SUNDAY.

UNC Math Contest First Round Results 2019-20 and Invitees to the Final Round

First Round 2019 Addams Edition

UNC Mathematics Contest 2019-2020 First Round Solutions

Participation by application. Any student who is not on the list of invitees to the Final Round but who would nevertheless like to attempt the Final Round is welcome to email a short note to  applying to participate. Such applicants should consider carefully the fact that most of the questions on the Final Round are as difficult as the hardest ones on the First Round, and that some are harder.  There is no need for a student to offer evidence that they might do well. All that is requested is a clear statement that they want to participate and that they understand the challenging nature of the Final Round. Applicants will be contacted by e-mail and given additional information regarding the registration process.


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2019-2020 UNC Math Contest

The dates for this year are on the DATES tab.

If you have missed the First Round of the contest this year  but are interested in participating in the Final Round, please email us at or call us at 682 330-3952.

If you are a teacher and want to register to administer the First Round of the contest in future years, please go to the registration page.

If you are a student and want your school to participate in First Rounds in future, please ask a teacher at your school about participating or contact us at or 682 330 3952. If you cannot find a teacher at your school who is familiar with the contest, then please contact us.

Solutions to several of the older contests were missing, but participant David Jordan has filled those in and we believe the solutions are now complete. He added solutions for 92-93, 93-94, and 94-95. Thank you David! These are posted with the others, now, on the problems and solutions  page. As many of you know- looking at old questions is an excellent way to get warmed up for this year!

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2019 Awards Banquet April 7 in the Columbine Room at the UNC Student Center

Fire spinning by Dean Zeller, Lecturer in Mathematical Sciences at UNC. Dean is also the proctor for the Final Round of the Contest in McKee Hall each year.

Finger juggling lessons with Knuck Chuxx by Dean Zeller. The Knuck Chuxx were made by Mike Adams, proprietor of Jolly Llama.


Anthony Wang – The Tuesday Boy Problem

Austen Mazenko – Tilings

Rahul Thomas – Random Walks

The ceramic medallions were made, as they are each year, by artist Amy Hayman of Loveland.

The wooden girih tiles were designed and cut by Sam George, whose family are the proprietors of Wooden Giraffe on Etsy. Sam also created the design for this year’s shirts.

There are more photos, including some from the Final Round and the Solutions Seminar, in the photo section.


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Final Round Results 2019

Twenty-seventh Annual UNC Math Contest


Summary of Final Round Results


2019 Honorable Mentions

2019 Junior Honorable Mentions

Summary 2019

The top winner submitted a perfect paper. The top three papers were all phenomenal. We enjoyed reading all the papers- we like the comments, puns, drawings, guesses, poems, and random observations. Two students observed that the answer to the question about palindromic numbers was itself a palindrome.

The table below shows how many students answered each question correctly, by grade. This is a count of those who answered all parts of a question correctly. Many students received credit for parts of questions, but part credit is not shown in the table. A total of 212 students participated this year.


12 11 10 9 8 7  4-6  4-12
1 15 27 31 35 40 32 14 194 Pencils
2 12 22 27 27 26 23 7 144 Trapezoid
3 16 28 30 35 42 33 14 198 Palindrome
4 15 26 29 36 36 22 14 178 Squares
5 13 29 27 32 36 28 10 175 Darcey & Renata
6 5 12 11 9 1 1 1 40 Rolling hexagon
7 9 16 16 17 17 5 4 84 Difference of squares
8 6 10 5 3 6 3 1 34 Factorials
9 7 9 7 5 2 0 1 31 Iterated quadratic
10 4 4 5 4 1 0 0 18 Candles
11c 6 15 11 14 15 11 5 77 Game
11 1 1 2 2 1 0 0 7 Cooperators


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FINAL ROUND January 26, 2019

The Final Round of the 27th Annual UNC Math Contest was held on the UNC Campus on Saturday, January 26. Results will be posted here as soon as they are ready- usually in a week or two.

Final Round 2019 UNC Math Contest

Final Round 2019 Answers

Final Round 2019 Solutions UNC Math Contest

UNC Mathematics Contest 2018-2019 Final Round Solutions


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The Final Round will be held on Saturday, January 26, 2019 from 12:45-4 pm  

McKee L150-152 on the UNC Campus, in Greeley.

Resources and Activities for parents/supervising adults:

   Solution Seminar- Ross 1060

   Refreshments- Ross 1090, next to the solution seminar room.

While the participants work on the problems in McKee Hall, contest writers discuss the problems in Ross Hall room 1060 with parents, teachers and others who have come with the participants to Greeley.  Those who attend the seminar will be prepared to discuss the contest and answers with their participants after the contest.

Students- If you have not yet registered, please go to the registration form here and enter your information.

Information about parking on campus is here. Lot D is the most convenient and is free on

weekends. This  shows parents a route from

the exam room in McKee, where the students work, to the seminar and refreshment rooms in Ross Hall.



The highest possible score was 100. A total of 1314 students from about 90 different schools participated and 335 were invited to the Final Round. The highest possible score was 100.  Four participants scored 100, two scored 95, and 12 scored 90.  

The table below shows the minimum qualifying scores required for invitation to the Final Round for each grade. Each question was worth 10 points.

Grade                           4       5       6         7         8          9         10        11       12

Qualifying score          25     25     30      30       30        40        40         45       45

Number of qualifiers      1      3      15     51       83        47        46         58       31

Number of participants  1      4      62     270    298     205      179      159      136

Top score                      40   50     65       90       90      100        95        95      100

The next table shows the number of students who answered each of the questions correctly. 

QUESTION      1         2         3         4         5        6         7         8         9        10 a      10 b 


ANSWER         5       130      30        6      102     13pi    B 90   8712    5/42      364      286

NUMBER of   673     288     449     527    147      134    614      283     75         7           7




First Round Results 2018 (Invited to Final Round)

First Round 2018

UNC Mathematics Contest 2018-2019 First Round Solutions Song

First Round 2018 Solutions


The UNC Math Contest is designed to challenge students in grades 7-12, with younger students welcome to try if they have an interest. Thanks to support from the Daniels Fund, the contest is free and open to all K-12 students in Colorado. The contest is administered in schools around the state by volunteer teachers, math coaches, and parents who have registered in advance to receive the contest materials. To register to administer the contest, go to the registration page. If you are a student interested in participating, ask your math teacher about the contest at your school or email us at Click on the tabs above to find copies of old contest questions, solutions, and other information about the contest.


Last year’s Contest

Final 2017-2018 Results- Winners & Honorable Mentions

FINAL ROUND  questions  FINAL ROUND  answers   FINAL ROUND  solutions


Awards Banquet for last year’s contest.


Our presentations were

Dihedral Groups by Hannah Zhang

Recursion by Austen Mazenko

Fire spinning was done by our final round proctor, UNC faculty member Dean Zeller, with the assistance of UNC meteorology student, Emily Ireland. The medallions were made by artist Amy Hayman of Loveland. The Penrose tiles were made by Karen George of Wooden Giraffe.






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