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23rd ANNUAL UNC STATE MATHEMATICS CONTEST
SUMMARY OF RESULTS 2015
The Final Round was held in Greeley at the University of Northern Colorado on Saturday,
January 31, 2015. The contest is open to all students in Colorado in grades 7‐12.
TOP TEN WINNERS RANK NAME SCHOOL GR TEACHERS / COACHES
1 Swartz Avi Cherry Creek H S 10 Dotty Dady
2 (tie) Zhang Jesse Fairview H S 12 Del Ebadi, Emily Silverman,
Silva Chang, Brad Arehart
2 (tie) Chen Hongyi Fairview H S 9 Brad Arehart
4 Lou Aaron Highlands Ranch H S 10 Anthony Verbsky
5 Kini Anjalie Challenge School 8 Matt Bixby
6 (tie) Leing Thomas Alexander Dawson S 11 Brian Hannen
6 (tie) Soh Christine Fairview H S 11 Emily Silverman
6 (tie) Zhang Hannah Fairview H S 9 Brad Arehart
9 Zhang Casey Fairview H S 11 Emily Silverman, Silva Chang
10 Wang Amy Pine Creek H S 10 April Pierce, Ming Song
ADDITIONAL WINNERS
Listed by grade in order of finish
NAME SCHOOL GR TEACHERS / COACHES
Sain Sain Bradley Falcon H S 12 Angela Andrews
Deng Lubin Cherry Creek H S 12 Dotty Dady
Coldren Ethan Fossil Ridge H S 12 Martha Cranor, Silva Chang
Guo Kristine Peak to Peak C S 11 Anita Chakraborty‐Spotts
Lawrence Kathryn Fairview H S 11 Del Ebadi
Chen Jackson Fairview H S 11 Brad Arehart, Del Ebadi, Silva Chang
Weygandt Scott Niwot H S 11 Adria Repp, Andrew Roberts, Silva Chang
New Stephen Fort Collins H S 10 Craig Luckasen, Michael Goar
Mehta Sanat Arapahoe H S 10 Jared Rottschafer
Golla Anurag Fairview H S 10 Silva Chang, Del Ebadi, Brad Arehart
Lin Andrea Fairview H S 9 Bradley Arehart
Zhang Luke Rock Canyon H S 9 Erynn Bourdo, Ming Song
Singh Isani Cherry Creek H S 9 Dotty Dady
Hampton Griffin Arapahoe H S 9 Jeff Cadwallader, Jared Rottschafer
Blackburn Ross Valor Christian H S 9 Greg Blake
Lin Cynthia Summit M S 8 Daniel Brown
Mazenko Austen Cherry Creek H S 7 Dotty Dady
The winners listed above are invited, along with their families and teachers, to a banquet to be
held in their honor on Sunday, April 12, 2015 in the Panorama Room at the UNC Student Center.
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23rd ANNUAL UNC STATE MATHEMATICS CONTEST
2015 HONORABLE MENTIONS Listed by grade in alphabetical order
NAME SCHOOL GR TEACHERS / COACHES
Blay Ryan Jefferson Academy 12 Mary Ferbrache
Brown Austin Holy Family H S 12 Ryan Ollock
Dodge Hayden Alexander Dawson S 12 Brian Hannen
Olson Thomas Holy Family H S 12 Ryan Ollock
Amick Leigha Boulder H S 11 Silva Chang
Harrington John Boulder H S 11 Akili Obika
Mike Ryan Palmer H S 11 Paul Hartman
Woosley Zach Arapahoe H S 11 Dan Swomley, Dan Beaty
Younger George Colorado Academy 11 Charity Smith
Aparicio Zachary D'Evelyn j/S H S 10 Cory Ryckman
Chen Annie Boulder H S 10 Akili Obika
Chen Sophia Fairview H S 10 Brad Arehart, Silva Chang
Kenigsberg Matthew Home School 10 Katie Kenigsberg
Wang Ashley Fairview H S 10 Brad Arehart
Wang Kevin Fairview H S 10 Brad Arehart
Ye Qihui Highlands Ranch H S 10 Anthony Verbsky
Lee Christopher Cherry Creek H S 9 Dotty Dady
Li Amanda Fairview H S 9 Brad Arehart
Sowrirajan Hari Cherry Creek H S 9 Dotty Dady, Michael Nutter
Wang Jonathan Fairview H S 9 Emily Silverman
Woo Warren Poudre H S 9 Jeff Davis, Marcy Lewis
Yan Matthew Grandview H S 9 Laura Morales
Hu Michael Campus M S 8 Ming Song
Ijju Siddarth Challenge School 7 Matt Bixby
Subramanian Emhyr Challenge School 7 Matt Bixby
2015 JUNIOR HONORABLE MENTIONS
Listed by grade in alphabetical order
NAME SCHOOL GR TEACHERS / COACHES
Chen Claudia Challenger M S 8 Ming Song
Chen Larry Lesher M S 8 Lynn Ann Johnson
Gao Sarah Campus M S 8 Timothy Peterson, Ming Song
Lin Changyuan West M S 8 Joanne Parkhouse, Mike Donhowe
Liu Amber Rocky Heights M S 8 Erynn Bourdo, Ming Song
Nelson Lucas Lucille Erwin M S 8 Janet Elwood
Sima Nathan Lesher M S 8 Lynn Ann Johnson
Arnav Joshi Challenge School 7 Matt Bixby
Bodoni Evelyn Challenge School 7 Matt Bixby
Garimella Rohit Challenge School 7 Matt Bixby
Golla Anudeep Southern Hills M S 7 Silva Chang
Meilstrup Spencer Westview M S 7 Cindy Thompson
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2015 Final Round There was one perfect paper this year. Two students successfully untangled the pattern in the bonus question. Four students gave beautiful and complete solutions to 7b and one more saw the key idea. On the question about beetles wandering out of the urn, many students successfully used the six cases shown in the solutions, but two students very elegantly considered the complement and successfully navigated the necessary inclusion-exclusion correction. There were many nice ways to count the paths on the spider web.!
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TOP WINNERS OF THE 22nd
ANNUAL UNC MATHEMATICS CONTEST
The Final Round of the contest was held in Greeley at the University of Northern Colorado on Saturday, January 25, 2014. A total of 2130 students participated in the First Round in November and 183 of those went on to participate in the Final Round in January.
Name School Grade Teachers
1 Jesse Zhang Fairview High School 11 Del Ebadi, Silva Chang, Emily Silverman
2 (tie) Albert Soh Fairview High School 12 Emily Silverman
2 (tie) Avi Swartz Cherry Creek High School 9 Dotty Dady
4 Christine Soh Fairview High School 10 Del Ebadi
5 (tie) Hongyi Chen Altona Middle School 8 Tim Criger
5 (tie) Jacob Imola Cherry Creek High School 12 Dotty Dady
7 Lubin Deng Cherry Creek High School 11 Nancy Major, Dotty Dady
8 Drew Holthaus Rock Canyon High School 11 Erynn Bourdo
9 Christopher Hoyt Smoky Hill High School 12
10 T.J. Leing Alexander Dawson School 10 Brian Hannen
11 Shawn Ong Douglas County High School
12 Laura Bush, Silva Chang, Jesse Zhang
12 (tie) Jeffrey Li Cherry Creek High School 12 Dotty Dady
12 (tie) Andrea Lin Summit Middle School 8 Tanya de Nobrega
14 Lawrence Zhang Fairview High School 12 Silva Chang
15 Anjalie Kini Challenge School 7 Matt Bixby
16 Sanat Mehta Arapahoe High School 9 Andrea Korn
17 Ryan Kenigsberg Home School 12 Katie Kenigsberg
18 Stephen New Fort Collins High School 9 Michael Goar
19 Chelsea Lim Poudre High School 12 Jeff Davis
20 Louise Kuehster Douglas County High School
12 Laura Bush
21 (tie) Jackson Chen Fairview High School 10 Brad Arehart
21 (tie) Sophia Chen Fairview High School 9 Aaron Hickman
21 (tie) Ethan Coldren Fossil Ridge High School 11 Martha Cranor
21 (tie) Kristine Guo Peak to Peak Charter School 10 Anita Chakraborty-Spotts
21 (tie) Aaron Lou Highlands Ranch High School
9 Mark Story 25 (tie) Chelsea Lim Poudre High School 11 Jeff Davis
21 (tie) Wesley Ma Peak to Peak Charter School 12 Anita Chakraborty-Spotts
21 (tie) Siyang Sun Fairview High School 12 Emily Silverman
21 (tie) Aolin Yang Rocky Mountain High School
8 Mr. Callahan
21 (tie) Casey Zhang Fairview High School 10 Xiaoli Zhang
21 (tie) Hannah Zhang Altona Middle School 8 Tim Criger
The winners listed above are invited, along with their parents and teachers, to a banquet to be held in their honor on Saturday, April 5, 2014 at 12 noon in the Panorama Room at the UNC Student Center.
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22nd
ANNUAL UNC MATHEMATICS CONTEST: HONORABLE MENTIONS
The following students achieved the rank of Honorable Mention in the Final Round of the 22nd Annual UNC Math Contest held January 25, 2014. These students were the next highest finishers. They are listed in alphabetical order within each grade level.
Student School Grade Teachers
Andrew Morton Rangely High School 12 Carol Morton
Jisung Kim Fossil Ridge High School 11 Martha Cranor
Kenichi Ishikawa Highlands Ranch High School 10 Mark Story
Nina Vendhan Kent Denver 10 Azhi Vendhan
Scott Weygandt Niwot High School 10 Adria Repp
Zachary Aparicio D’Evelyn Jr/Sr High School 9 Mrs. Lindsey
Allan Chen Cherry Creek High School 9 Dotty Dady
Matthew Iverson Liberty Common High School 9 Torgun Lovely
Matthew Kenigsberg Home School 9 Katie Kenigsberg
Nicholas Lin Fossil Ridge High School 9 Martha Cranor
Amy Wang Pine Creek High School 9 Ming Song
Ashley Wang Fairview High School 9 Aaron Hickman
Kevin Wang Fairview High School 9 Del Ebadi
Andrew Ying Cherry Creek High School 9 Dotty Dady
Ross Blackburn Home School 8 Meredith Blackburn
Hari Sowrirajan Challenge School 8 Matt Bixby
Erik Svenneby Challenge School 8 Matt Bixby
Stephanie Zhang Summit Middle School 8 Tanya de Norbrega
Sarah Gao 7 Ming Song
There was one perfect paper this year. Two students solved problem 10c correctly and elegantly. Three others gave work towards a longer solution. That problem was very difficult. Four students solved problem 7 about the Caterpillar’s mismatched socks perfectly. About a dozen others nearly did so, but made small errors computing intermediate probabilities. There were many interesting approaches to tackling the questions about the Queen’s croquet. There were also many approaches and many different, but equivalent, formulae for the untried doors. There were many different routes to a correct answer on the cucumber frame problem, also.
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UNC Math Contest Final Round Results 2013
The Final Round of the contest was held in Greeley at the University of Northern Colorado on Saturday, January 19, 2013. A total of 2382 students participated in the First Round in November and 179 of those went on to participate in the Final Round in January. There were two nearly perfect papers. One student gave a completely perfect solution to Problem 9 and one other student gave a near perfect and very different solution to Problem 9. Eight students gave correct solutions to Problem 11b, nine students correctly solved Problem 10d, and twenty-two students correctly solved Problem 7. Three students mentioned an old classic theorem on Quadrature of the Lune (or the Lune of Hippocrates) and one mentioned an interesting and relevant extension of the Pythagorean Theorem. These were pleasant surprises, but of course the lune problem can be done directly with geometry and no fancy theorems! Thirty-two students gave the x=1 solution in Problem 4. All written work was carefully examined so that partial credit could be awarded. It was a pleasure to see so many creative solutions to the many challenging problems on the contest. As in past years, we post general results but do not distribute individual scores. The primary goal of the contest is to promote engagement in mathematics as a pleasurable challenge, and no numerical scoring system can measure the passion, creativity, and resourcefulness that so many students displayed. Congratulations to all of the participants.
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TOP 26 WINNERS OF THE 21st ANNUAL UNC MATHEMATICS CONTEST
The Final Round of the contest was held in Greeley at the University of Northern Colorado on Saturday, January 19, 2013. A total of 2382 students participated in the First Round in November and 179 of those went on to participate in the Final Round in January.
Rank Name School Grade Teachers
1 (tie) Albert Soh Fairview High School 11 Xiao Zhang
1 (tie) Jesse Zhang Fairview High School 10 Del Ebadi, Xiaoli Zhang, Silva Chang, Emily Silverman
3 Shawn Ong Douglas County High School
11 Silva Chang, Jaime Ballard
4 Jacob Imola Cherry Creek High School 11 Michael Berndt
5 Avi Swartz Challenge School 8 Matt Bixby
6 (tie) Angela Song Phillips Exeter Academy 9 Zuming Feng
6 (tie) Henry Zhang Fairview High School 12 Xiao Zhang
8 Le Cheng Fan Lakewood High School 12 James Buck, Ken Gabaldon
9 CJ Feinberg Alexander Dawson School 12 Brian Hannen
10 (tie) Christine Soh Fairview High School 9 Xiao Zhang
10 (tie) Lawrence Zhang Fairview High School 11 Del Ebadi, Xiao Zhang, Silva Chang
12 (tie) Hongyi Chen Altona Middle School 7 Joshua Hagin
12 (tie) Sanat Mehta Littleton Academy 8 Tanya Sperry
12 (tie) Nina Vendhan Kent Denver School 9 Robert Putka, Peter Ellis, Azhi Vendhan
15 (tie) T.J. Leing Alexander Dawson School 9 Brian Hannen
15 (tie) Casey Zhang Fairview High School 9 Silva Chang
17 Hannah Zhang Altona Middle School 7 Xiao Zhang
18 Chelsea Lim Poudre High School 11 Jeff Davis
19 Julian Cannon Overland HS 12 Gregory Oelrichs
20 Lucas Elder Liberty Common High School
11 Ashley McAllister, Kay Lannen Torgun Lovely
21 Jeffrey Li Cherry Creek High School 11 Mike Nutter
22 Jackson Chen Fairview High School 9 Del Ebadi
23 (tie) Christopher Hoyt Smoky Hill High School 11 Mr. Gould, Silva Chang
23 (tie) Yue Niu Rampart High School 11 Ming Song, Manuel Mestas
25 (tie) Kyle Christensen Fairview High School 12 Del Ebadi
25 (tie) Alex Iverson Liberty Common High School
10 Torgun Lovely, Kay Lannen
!
The 26 winners listed above are invited, along with their parents and teachers, to a banquet to be held in their honor on Sunday, April 7, 2013 at 1pm in the Panorama Room at the UNC Student Center.
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21st ANNUAL UNC MATHEMATICS CONTEST: HONORABLE MENTIONS
The following students achieved the rank of Honorable Mention in the Final Round of the 21st Annual UNC Math Contest held January 19, 2013. These students were the next highest finishers. They are listed in alphabetical order within each grade level.
Student School Grade Teachers
Samuel Baugh D'Evelyn High School 12 Pario Lee Law
John Brock Arapahoe High School 12 Blechschmidt
Gerri Roberts Poudre High School 12 Jeff Davis
Dominiquo Santistevan Pueblo South High School 12 Mr. Patrick Mara
Keihan Swantek D'Evelyn Jr./Sr, High 12 Cory Ryckman
Eric Walker Monarch High School 12 Brian Beamer, Terry Shannon, Kathleen Hein
Ryan Kenigsberg Home school 11 Katie Kenigsberg
Louise Kuehster Douglas County High School 11 Mrs. Ballard
Andrew Morton Rangely High School 11 Carol Morton
Nicholas Sabo Arapahoe High School 11 Catherine Victor, Andrea Korn
Siyang Sun Fairview High School 11 Silva Chang, Del Ebadi
Lubin Deng Cherry Creek High School 10 Michael Berndt
Ria Kim Smoky Hill Highschool 10 Mr. Rich Morrow, Mr. Richardson, Mr. Holguin
LiQian (SiSi) Peng Rampart High School 10 Ming Song, Manuel Mestas
Kristine Guo Peak to Peak 9 Anita Chakraborty-Spotts
Yunyu Lin Boulder High 9 Akili Obika
Scott Weygandt Niwot High School 9 Sally Herreid, Rachel Bevan, Julie Webster
Allan Chen West Middle School 8 Mrs. Parkhouse
Annie Chen Summit Middle School 8 Aaron Bradley
Matt Iverson Liberty Common High School 8 Ashley McAllister, Torgun Lovely, Kay Lannen
Amy Wang Mountain Ridge Middle School
8 Dr. Ming Song
Kevin Wang Southern Hills Middle School 8 Denise Pearman
Joyce Xu Summit Middle School 8 Aaron Bradley
Sam Cole West Middle School - CCSD 7 Donhowe, Michael D
Andrea Lin Summit Middle School 7 Dr. Aaron Bradley
Anjalie Kini Challenge School 6 Matt Bixby
There were two nearly perfect papers. One student gave a completely perfect solution to Problem 9 and another gave a nearly perfect and very different solution to Problem 9. Eight students gave correct solutions to Problem11b, nine students correctly solved Problem10d, and twenty-two students correctly solved Problem 7. Three students mentioned an old classic theorem on Quadrature of the Lune and one mentioned an interesting and relevant extension of the Pythagorean Theorem. These were pleasant surprises, but of course the lune problem can be done directly with geometry and without fancy theorems. Thirty-two students noticed the x=1 solution to Problem 4. All written work was carefully examined so that partial credit could be awarded. It was a pleasure to see so many creative solutions and approaches to the problems.
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TOP 25 WINNERS OF THE 20th ANNUAL UNC MATHEMATICS CONTEST
The Final Round of the contest was held in Greeley at the University of Northern Colorado on Saturday, January 21, 2012. About 2700 students participated in the First Round in November and 210 of those went on to participate in the final round.
Place Name Grade School Teacher
FIRST Tommy Fan 11 Lakewood H. S. Ken Gabaldon
SECOND (tie) Nicolas Ledru 12 Fairview H. S. Xiao Zhang
SECOND (tie) Albert Soh 10 Fairview H. S. Del Ebadi
FOURTH Jesse Zhang 9 Fairview H. S. Del Ebadi / Xiaoli Zhang
FIFTH Avi Swartz 7 Challenge S. Matt Bixby
SIXTH (tie) Jacob Imola 10 Cherry Creek H. S. Mike Nutter
SIXTH (tie) Shawn Ong 10 Douglas County H. S. Laura Bush
EIGHTH Tae Kim 12 Cherry Creek H. S. Michael Berndt
NINTH David Schwein 12 Lakewood H. S. Derrick Peterson
TENTH Angela Song 8 Mountain Ridge M. S. Noemi Eliseo
ELEVENTH (tie) Riley Xu 10 Fairview H. S. Del Ebadi
ELEVENTH (tie) Henry Zhang 11 Fairview H. S. Xiao Zhang
THIRTEENTH (tie) Cissy Chen 12 Fairview H. S. Xiao Zhang
THIRTEENTH (tie) Larry Zhang 10 Fairview H. S. Del Ebadi
Additional winners by grade level (in order of finish):
GRADE 12 School Teacher
Kevin Xie Douglas County H. S. Laura Bush
Samantha Lichtin Mountain Vista H. S. Ann Miller
GRADE 11
Julian Cannon Overland H. S. Victor Jimenez
Kevin Chen Fairview H. S. Del Ebadi
Kim Nak Hyoung Weld Central H. S. Marissa Brotherton
GRADE 10
Christopher Hoyt Smoky Hill H. S. Holguin, Richardson
Yue Niu Rampart H. S. Manuel Mestas
Chelsea Jeewoo Lim Poudre H. S. Jeff Davis
GRADE 9
LiQian (Sisi) Peng Rampart H. S. Matthew Perry
GRADE 8
Casey Zhang Southern Hills M. S. Denise Pearman-Johnson
Christine Soh Summit M. S. Tanya de Nobrega The 25 winners listed above are invited, along with their parents and teachers, to a banquet to be held in their honor on Sunday, April 15, 2012 at noon in the Panorama Room at the UNC Student Center.
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20th ANNUAL UNC MATHEMATICS CONTEST: HONORABLE MENTIONS The following 21 students achieved the rank of Honorable Mention in the Final Round of the 20th Annual UNC Math Contest held January 21, 2012. These students were the next highest finishers. They are listed in alphabetical order within each grade level.
Honorable Mentions Student School Teacher
GRADE 12
Kara Fong Douglas County H. S. Laura Bush
Scott Podlogar Monarch H. S. Brian Beamer
Daniel Zheng Cherry Creek H. S. Mike Nutter
GRADE 11
Kyle Christensen Fairview H. S. Del Ebadi
Yujie Huang Home School
Yongkyum Kim Cherry Creek H. S. Johanna Lewis
Gerri Roberts Poudre H. S. Jeff Davis
GRADE 10
Jeffrey Li Cherry Creek H. S. Kim Dertinger
Wesley Ma Peak to Peak Anita Chakraborty-Spotts
Andrew Morton Rangely H. S. Carol Morton
Siyong Sun Fairview H. S. Xiao Zhang
GRADE 9
Christopher Chen Peak to Peak Anita Chakraborty-Spotts
GRADE 8
Jackson Chen Summit M. S. Aaron Bradley
Kristine Guo Peak to Peak M. S. Kim Struck
Joyce Lee Challenge M. S. Matt Bixby
Thomas Leing Alexander Dawson S. Ryan Ollock
Nina Vendhan Cresthill M. S. Azhi Vendhan
GRADE 7
Sophia Chen Summit M. S. Tanya de Nobrega
Sanat Mehta Littleton Academy Shannon Reisler
GRADE 6
Hannah Zhang Altona M. S. Xiao Zhang
Stephanie Zhang Summit M. S. Tanya de Nobrega
The number of scores in each range. The maximum possible score was 110 points. Partial credit was awarded based upon written work.
110-100 99-90 89-80 79-70 69-60 59-50 49-40 39-0
3 9 7 1 12 8 7 163 The number of completely correct solutions to each problem. These numbers do not include students who were awarded part credit on problems.
Problem1a Problem1b Problem 2 Problem 3 Problem 4a Problem 4b Problem 5 Problem 6
200 77 104 61 39 31 43 28
Problem 7 Problem 8 Problem 9a Problem 9b Problem10a Problem10b Problem 11
45 49 25 31 1 0 7