25thANNUALUNCSTATEMATHEMATICSCONTEST2017

TheFinalRoundwasheldinGreeleyattheUniversityofNorthernColoradoonSaturday,January21,2017

TOP16WINNERS

RANK NAME SCHOOL Gr TEACHERS1 AviSwartz CherryCreek 12 DottyDady2 AndreaLin Fairview 11 SilvaChang,EmilySilverman3 (tie) HongyiChen Fairview 11 SilvaChang3 (tie) HariSowrirajan CherryCreek 11 DottyDady5 HannahZhang Fairview 11 EmilySilverman,MingSong

*G AlexBean Clark 9 HikmetErdogan6 LucasNelson Loveland 10 GregMorrison7 AnuragGolla Fairview 12 EmilySilverman,DelEbadi,SilvaChang8 AmyWang PineCreek 12 AprilPierce9 (tie) SoniaChu RockCanyon 10 ErynnAlbert,MingSong9 (tie) AustenMazenko CherryCreek 9 DottyDady11 (tie) RahulThomas CherryCreek 8 DottyDady11 (tie) DerwinWu CherryCreek 10 DottyDady13 AmberLiu RockCanyon 10 ErynnAlbert,MingSong

*G KorbenD:Archangel CASLV 11 HikmetErdogan14 (tie) MichaelHu CherryCreek 10 MingSong,DottyDady14 (tie) MatthewKenigsberg HomeSchool 12 KatieKenigsberg16 ZionChoi Challenge 7 MattBixby

ADDITIONALWINNERS

NAME SCHOOL

Gr TEACHERS LiamAdler-Pollock McAuliffe 8 TylerFuller,ShannonWood-Rothenberg,MattBixby HenryCafaro FortCollins 9 Luckasen*G ThomasGlezen CASLV 12 HikmetErdogan EliaGorokhovsky Fairview 10 DelEbadi DavidJordan HomeSchool 9 StephenJordan,SilvaChang*G JasonLin CASLV 10 HikmetErdogan PatrickScharf Chaparral 11 Bockhacker AnthonyWang STEM 7 MerryWang KevinYang Fairview 9 SilvaChang GraceZhang Challenge 8 MattBixby,PingpingQuThewinnerslistedaboveareinvited,alongwiththeirfamiliesandteachers,toabanquettobeheldintheirhonoronSunday,April9,2017intheColumbineRoomattheUNCStudentCenter.*Gindicatesguestparticipants.SeveralschoolsinNevadaparticipateinthecontestasguests.Theseparticipantsarenotassignednumberedplaces,buttheirranksareshown.

25thANNUALUNCSTATEMATHEMATICSCONTEST2017FIRSTHONORABLEMENTIONS

ZacharyAparicio D'Evelyn 12 CoryRickman

LarryChen FortCollins 10 Slagle,Gore

BrandonGuo PeaktoPeak 9 AnitaChakraborty-Spotts

JoyMa Fairview 9 jackCawelti

KyleMa PineCreek 9 AprilPierce

NaserMoin Loveland 10 JudithLeatherman,ElizabethHowe

DanielRui PeaktoPeak 9 SilvaChang

TitusSharman Coronado 10 DelValle

StephanieZhang Fairview 11 EmilySilverman,SilvaChang,JackCawelti

ADDITIONALHONORABLEMENTIONS(bygrade)NehaChauhan RockCanyon 12 TonyKey,ErynnAlbert

DawsonFrick FortMorgan 12 JamesKreikemeier,CindyTormohlen,AdriannaNickell

RenaLoving ClassicalAcad 12 Knuth

SanatMehta Arapahoe 12 KyleLow

RossBlackburn ValorC 11 Anderson

GriffinHampton Arapahoe 11 Rotteschafer

TahaKrarti Niwot 11 DylanWittstruck

AviMoskoff Niwot 11 DylanWittstruck

JonathanWang Fairview 11 EmilySilverman,SilvaChang

LukeZhang RockCanyon 11 ErynnAlbert

MattChen RockCanyon 10 ErynnAlbert

SarahGao CherryCreek 10 DottyDady

CynthiaLin Fairview 10 DelEbadi,SilvaChang

HannahPark Poudre 10 ElissaPitts

AnudeepGolla Fairview 9 SilvaChang,EmilySilverman,BradArehart,DelEbadi

SiddarthIjju CherryCreek 9 DottyDady

EdwardLim FortCollins 9 Luckasen

MinYoungChang Challenge 8 MattBixby

CarterKruse Westview 8 Thompson

MadisonLin PeaktoPeak 8 AnitaChakraborty-Spotts

JUNIORHONORABLEMENTIONS(bygrade)MeganFinnegan Centaurus 9 JenniferBravo

SpencerMielstrup Longmont 9 CindyThompson

PeterReasoner HomeSchool 8 YuliaTroussova

DevonRutledge McAuliffe 8 ShannonWood-Rothenberg

CarterLarsen Challenge 8 MattBixby

KatrinaNelson LucileErwin 8 JanetElwood

KyleWang Fairview 8 EmilySilverman

BrandonDong Challenge 8 MattBixby

LukasThiemann Lesher 7 LynnAnnJohnson

DeclanHiller PeaktoPeak 7 AnitaChakraborty-Spotts

AbbasShaikh West 7 JoanneParkhouse

ShaneLambert SteamboatSprings 7 SallyLambert,AlexKrolik

QuinnPerian Summit 7 TanyadeNobrega

MatthewAnderson Challenge 7 MattBixby

KyleNordick LucileErwin 7 JanetElwood

ThomasFischer West 7 Chaloupka

AdenSanchez LucileErwin 7 JanetElwood

PavanGudavalli Summit 6 TanyadeNobrega

AriWang MountainRidge 6 ChristineDraper

2017 Final Round Four students successfully counted the number of triangles formed by chords in a circle, Problem 9. Nine students correctly answered the question about the Fibonacci polynomial, Problem 8. There were several nice approaches to that problem. Twelve students found a powerless arithmetic sequence, Problem 10. Thirteen students correctly counted the number of factorizations of 4096 into squares and cubes, Problem 11a. One student almost perfectly counted the factorizations of 46,656 into squares and cubes and several more showed reasonable plans for doing the count. As always, we have enjoyed looking at your papers. We are astonished at what you can accomplish in three hours. We look forward to next year.

24th%ANNUAL%UNC%STATE%MATHEMATICS%CONTEST%%SUMMARY%OF%RESULTS%2016%

!The!Final!Round!was!held!in!Greeley!at!the!University!of!Northern!Colorado!on!Saturday,!!January!23,!2016.!The!contest!is!open!to!all!students!in!Colorado!in!grades!7F12.!!

TOP%16%WINNERS%%

RANK NAME

SCHOOL GR TEACHERS/COACHES 1! Chen! Hongyi! Fairview!! 10! Del!Ebadi!2! Mazenko! Austen! Cherry!Creek!! 8! Dotty!Dady!3! Sowrirajan! Hari! Cherry!Creek!! 10! Dotty!Dady!4! Swartz! Avi! Cherry!Creek!! 11! Dotty!Dady!5! Leing! T.J.! Alexander!Dawson! 12! Brian!Hannen,!Silva!Chang!6! Lou! Aaron! Highlands!Ranch! 11! Anthony!Verbsky!7! Zhang! Casey! Fairview!! 12! Emily!Silverman!8! Soh! Christine! Fairview!! 12! Emily!Silverman!9!! Chu! Sonia! Rock!Canyon!! 9! Ming!Song,!Erynn!Albert!9! Wu! Derwin! Cherry!Creek! 9! Dotty!Dady!11! Wang! Amy! Pine!Creek! 11! Ming!Song,!April!Pierce!12! Nelson! Lucas! Loveland!! 9! Greg!Morrison,!Judy!Leatherman!13! Lawrence! Kathryn! Fairview!! 12! Emily!Silverman!14! Aparicio! Zachary! D’Evelyn! 11! Cory!Ryckman!15! Thomas! Rahul! Cherry!Creek!! 7! Dotty!Dady!16! Chen! Jackson! Fairview!! 12! Emily!Silverman,!Silva!Chang!

!%

ADDITIONAL%WINNERS%%

Listed!alphabetically!by!name!!

!Ahn! Jinyoung! Highlands!Ranch! 12! Anthony!Verbsky!

!Gardner! Jason! D'Evelyn! 11! Cannon!

!Golla! Anurag! Fairview!! 11! Silva!Chang,!Emily!Silverman!

!Lin! Andrea! Fairview!! 10! Del!Ebadi,!Silva!Chang!

!Mehta! Sanat! Arapahoe!! 11! Dan!Swomley!

!New! Stephen! Fort!Collins!! 11! Chris!Suppes,!Craig!Luckasen!

!Starr! Andrew! Grandview!! 11! John!Schultz,!Laura!Morales!

!Weygandt! Scott! Niwot!! 12! Adria!Repp,!Silva!Chang!

!Zhang! Hannah! Fairview!! 10! Del!Ebadi,!Brad!Arehart!

!Zhang! Luke! Rock!Canyon! 10! Ming!Song!

!Zhang! Stephanie! Fairview!! 10! Del!Ebadi,!Brad!Arehart!

!The!winners!listed!above!are!invited,!along!with!their!families!and!teachers,!to!a!banquet!to!be!held!in!their!honor!on!Saturday,!April!2,!2016!in!the!Panorama!Room!at!the!UNC!Student!Center.!!

24th%ANNUAL%UNC%STATE%MATHEMATICS%CONTEST%%2016%HONORABLE%MENTIONS%

Listed!alphabetically!by!name!!!!!

NAME

SCHOOL GR TEACHERS/COACHES Chang! Min!Young! Challenge!School! 7! Melissa!Eggleston,!Matt!Bixby!Chen! Claudia! Pine!Creek!! 9! Amy!Verduft,!Ming!Song,!April!Pierce!Dieter! Justin! Pine!Creek!! 11! April!Pierce!Gao! Sarah! Cherry!Creek! 9! Dotty!Dady,!Ming!Song,!Mrsl!Hughes!Hu! Michael! Cherry!Creek!! 9! Ming!Song!Ijju! Siddarth! Challenge!School! 8! Matt!Bixby!Joshi! Arnav! Challenge!School! 8! Matt.Bixby!Kenigsberg! Matthew! Home!school! 11! Katie!Kenigsberg!Krarti! Taha! Niwot!HS! 10! Adria!Repp,!Megan!Schlagel!Kumar! Aditya! Cherry!Creek! 10! Dotty!Dady!Lambert! Shane! Steamboat!Springs! 6! Val!Gary,!Sally!Lambert!Li! Amanda! Fairview!! 10! Del!Ebadi,!Brad!Arehart!Lin! Cynthia! Fairview!! 9! Brad!Arehart!Liu! Amber! Rock!Canyon! 9! Ming!Song,!Erynn!Albert!Nambiar! Keshav! Rampart!! 9! Robyn!MacIvor!Park! Hannah! Poudre!! 9! Mr.!Sayers!Ratanapan! Wutikorn! Coral!Acad!of!Science! 10! Selcuk!Guncu!!Roy! Varun! Rampart!! 9! Mr.!Mestas!Rui! Daniel! Summit!Charter! 8! Tanya!DeNobrega!Singh! Isani! Cherry!Creek!! 10! Dotty!Dady!Sun! Orien! Palmer!Ridge!! 10! Ming!Song,!Leah!Phillips,!Scott!Obermeyer!Wang! Ashley! Fairview!! 11! Silva!Chang,!Del!Ebadi!Wang! Jonathan! Fairview!! 10! Brad!Arehart,!Emily!Silverman,!Silva!Chang!Younger! George! Colorado!Academy! 12! Charity!Smith!

%2016%JUNIOR%HONORABLE%MENTIONS%

Listed!by!grade!in!alphabetical!order!!!!

NAME SCHOOL GR TEACHERS / COACHES Guo! Brandon! Peak!to!Peak!! 8! Anita!ChakrabortyFSpotts!Joshi! Sinaya! Challenge! 6! Matt!Bixby!Larsen! Carter! Challenge!! 7! Matt!Bixby!Subramanian! Emhyr! Challenge!! 8! Matt!Bixby!Tang! Eric! West! 7! Joanne!Parkhouse!Yang! Kevin! Mountain!Ridge! 7! Christine!Draper!!!Competition!was!fierce!this!year.!Seven!students!correctly!determined!the!probability!that!Sisyphus!would!have!to!labor!forever!in!Question!6(a)!and!four!were!able!to!determine!that!probability!in!6(b).!There!were!several!different!approaches.!Three!students!obtained!a!perfect!closed!form!answer!for!Question!8(b)!and!several!more!came!very!close.!Again,!there!were!several!good!approaches!to!this!one.!Several!more!students!gave!correct!summation!formulae.!A!few!students!attempted!Question!10,!about!the!chess!wallpaper!patterns,!and!one!student!made!substantial!progress.!!

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.  

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 

 

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.!

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.

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.

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.

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.

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.

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.

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