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The CENTRE for EDUCATION in MATHEMATICS and COMPUTING Le ...

The CENTRE for EDUCATIONin MATHEMATICS and COMPUTINGLe CENTRE d EDUCATIONen MATH EMATIQUES et en Contest(Grade 9)Cayley Contest(Grade 10)Fermat Contest(Grade 11)2015R esultatsConcours Pascal(9eann ee Sec. III)Concours Cayley(10eann ee Sec. IV)Concours Fermat(11eann ee Sec. V)c 2015 CENTRE for EDUCATION in MATHEMATICS and ComputingCompetition OrganizationOrganisation du ConcoursCentre for EDUCATION in MATHEMATICS and COMPUTING Faculty and Staff /Personnel du Concours canadien de math ematiquesEd AndersonJeff AndersonTerry BaeSteve BrownErsal CahitHeather CulhamSerge D AlessioFrank DeMaioJanine DietrichJennifer DoucetFiona DunbarMike EdenBarry FergusonJudy FoxSteve FurinoJohn GalbraithSandy GrahamConrad HewittAngie HildebrandCarrie KnollJudith KoellerBev MarshmanMike MiniouDean MurrayJen PrettiKim SchnarrCarolyn SedoreIan VanderBurghTroy VasigaJoA

Competition Organization Organisation du Concours Centre for Education in Mathematics and Computing Faculty and Sta / Personnel du Concours canadien de math ematiques

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1 The CENTRE for EDUCATIONin MATHEMATICS and COMPUTINGLe CENTRE d EDUCATIONen MATH EMATIQUES et en Contest(Grade 9)Cayley Contest(Grade 10)Fermat Contest(Grade 11)2015R esultatsConcours Pascal(9eann ee Sec. III)Concours Cayley(10eann ee Sec. IV)Concours Fermat(11eann ee Sec. V)c 2015 CENTRE for EDUCATION in MATHEMATICS and ComputingCompetition OrganizationOrganisation du ConcoursCentre for EDUCATION in MATHEMATICS and COMPUTING Faculty and Staff /Personnel du Concours canadien de math ematiquesEd AndersonJeff AndersonTerry BaeSteve BrownErsal CahitHeather CulhamSerge D AlessioFrank DeMaioJanine DietrichJennifer DoucetFiona DunbarMike EdenBarry FergusonJudy FoxSteve FurinoJohn GalbraithSandy GrahamConrad HewittAngie HildebrandCarrie KnollJudith KoellerBev MarshmanMike MiniouDean MurrayJen PrettiKim SchnarrCarolyn SedoreIan VanderBurghTroy

2 VasigaJoAnn VincentTim Zhou2 Competition OrganizationOrganisation du ConcoursProblems Committees / Comit es des probl`emesPascal Contest / Concours PascalWally Webster (Chair / pr esident), Dashwood, ONLloyd Auckland, St. Thomas, ONJanet Christ, Walter Murray , Saskatoon, SKMike Miniou, University of Waterloo, Waterloo, Pretti, University of Waterloo, Waterloo, ONJim Schurter, Listowel, ONTyler Somer, Kitchener, ONAnna Spanik, Halifax West , Halifax, NSAaron Warner, St. Mildred s-Lightbourn School, Oakville, ONCayley Contest / Concours CayleyJen Nelson (Chair / pr esidente), University of Waterloo, Waterloo, ONKirsten Boucher, Ajax, ONBarry Ferguson, University of Waterloo, Waterloo, ONJordan Grant, St.

3 John s-Kilmarnock School, Breslau, ONChristopher Ing, Vincent Massey , Windsor, ONChristine Ruza, Elmira , Elmira, ONMichelle Vidberg, Galt , Cambridge, ONFermat Contest / Concours FermatPaul Fennell (Chair / pr esident), London, ONSandra DellaMaestra, University of Toronto Schools, Toronto, ONConrad Hewitt, University of Waterloo, Waterloo, ONSteve Lau, John Diefenbaker , Hanover, ONCarol Miron, Albert Campbell , Toronto, ONMichael Regep, Mentor College, Mississauga, ONDavid Shepherd, Ravenna, ONMartin Tuchtie, Fenelon Falls , Fenelon Falls, ON3 ForewordAvant-ProposOur congratulations go to all who participated in this year s Pascal, Cayley and Fermat Contests.

4 This year sContests were resounding successes, with averages of , and across the three Contests. The numberof eligible contestants with perfect papers on the three Contests were 30, 6 and always, we would like to thank the hard-working Problems Committees. Most of the members of these Com-mittees are active secondary school teachers from across Canada who volunteers their time and contribute dozensof hours of expertise. Without their intriguing and sometimes amusing problems, these Contests would not would also like to thank all participants, both teachers and students.

5 We hope that the papers providedyou with some interesting MATHEMATICS to think about and play with. Thank you for your support! Please con-tinue to encourage your colleagues and fellow students to become involved in our f elicitations vont `a tous les participants du Concours Pascal, Cayley et Fermat de cette ann ee. Les Con-cours de cette ann ee retentissaient de succ`es, avec des moyennes de 100,8, 92,4 et 96,3 `a travers les trois nombre de candidats eligibles poss edant un concours parfait etait de 30, 6 et aimerions surtout remercier les Comit es de probl`emes pour leur dur travail.

6 La plupart des membres de cesComit es sont des enseignant(e)s d ecole secondaire actifs d un bout `a l autre du Canada qui offre leur temps etcontribuent des douzaines d heures d expertise. Sans leurs probl`emes perspicaces et amusants, ces Concours neseraient pas aimerions remercier aussi tous les participants incluant les enseignants et les etudiants. Nous esp eronsque les concours vous ont offert des math ematiques int eressantes qui vous ont amus ees et port ees `a r efl pour votre soutien continu e!4 EnrollmentInscriptionNumber of schools registered by province /Nombre d ecoles inscrit par provincePascal Cayley FermatAB1126052BC198194191MB565246NB3334 32NL504036NS423831NT222ON746699697PE976Q C959797SK313232YT111 International166173163 Total154114291386 Number of students registered by province /Nombre d etudiants inscrit par provincePascal Cayley FermatAB29241046902BC483839713162MB13038 64842NB593554368NL756542459NS910699491NT 141414ON13101105659067PE18810064QC231821 961948SK692450401YT243 International402735822917 Total316662458720638 Total number of students

7 Enrolled / Nombre d inscriptions individuelles:768915 Champions 2015 Champions 20152015 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMAR`ES INDIVIDUEL ET PALMAR`ES PAR EQUIPE 2015 PASCAL CONTEST / CONCOURS PASCALSTUDENTS / EL`EVESS tudents are listed in alphabetical order / Les el`eves sont nomm es en ordre alphabetiqueSchoolLocationGrade EcoleEndroitNiveauCOCO CHENP inetree CHENN orth York8 ZHIYANG CHENS carborough8 STEVEN CHOWA lbert Campbell DUWilliam Lyon Mackenzie York9 HOWARD HALIMU niversity of Toronto SchoolsToronto8 JIASHU HANSir Winston Churchill Myer Falls9 ALEXANDER KITAEVW aterloo MUHAMMAD

8 MITHANIG ordon Graydon Memorial Mississauga9 VAISHNAVAN SOMASEKARAM King s-Edgehill SchoolWindsor9 NICHOLAS SULLIVANA shbury CollegeRockcliffe9 KYLE TREBINSKIEW hite Pines C. and Ste Marie9 QINGYU WANGE cole Int l de MontrealWestmount9 MARK WILKINSC entennial Reg l Park9 JIANG WUNew Westminster Westminster 9 LUCY YANF raser Heights YANGB urnaby South YANGW hite Oaks ZHANGS carborough9 RUICHEN ZHANGL isgar / EQUIPESS choolLocationScore EcoleEndroitNoteChampion / Premi`ere University of Toronto Schools Toronto438 Second / Deuxi`emeSir Winston Churchill / Troisi`emeLisgar 434 Fifth / Cinqui`emeWhite Oaks 2015 Champions 20152015 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMAR`ES INDIVIDUEL ET PALMAR`ES PAR EQUIPE

9 2015 CAYLEY CONTEST / CONCOURS CAYLEYSTUDENTS / EL`EVESS tudents are listed in alphabetical order / Les el`eves sont nomm es en ordre alphabetiqueSchoolLocationGrade EcoleEndroitNiveauBRYAN DINGU pper Can CollegeToronto10 EDWARD JIANGM oscrop KWANSir Winston Churchill Calgary10 JASON LIPinetree PANG Marc Garneau York 10 TEAMS / EQUIPESS choolLocationScore EcoleEndroitNoteChampion / Premi`ere Pinetree / Deuxi`emeSir Winston Churchill Calgary430 Third / Troisi`emeMarc Garneau York427 Fourth / Quatri`emeNew Westminster Westminster 424 Fifth / Cinqui`emeMoscrop 2015 Champions 20152015 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMAR`ES INDIVIDUEL ET PALMAR`ES PAR EQUIPE 2015 FERMAT CONTEST / CONCOURS FERMATSTUDENTS / EL`EVESS tudents are listed in alphabetical order / Les el`eves sont nomm es en ordre alphabetiqueGold MedalsSchoolLocationGradeM edailles d or EcoleEndroitNiveauRUIZHE CHENG Prince of Wales OFieldstone King s College Schol Toronto11 KYNE SANTOSSt.

10 Mary s Lucas XUUniversity Hill ZHANGNew Westminster Westminster 11 RUIZHI ZHAOT ommy Douglas CollegiateSaskatoon11 TEAMS / EQUIPESS choolLocationScore EcoleEndroitNoteChampion / Premi`ere Jackson York412 Bur Oak / Troisi` Lucas Hill 410 University Transition Program Vancouver4208 Champions 2015 Champions 20152015 FERMAT CONTEST REGIONAL CHAMPIONSCHAMPIONS R EGIONAUX AU CONCOURS FERMAT 2015 Each student below will receive a$200 prize / Chaque etudiant ci-dessous recevrait un prix de 200$ProvinceStudentSchoolLocationProvinc e Etudiant EcoleEndroitABALEXANDRE BOUFERGUENEOld Scona Academic KANGC entennial XIONGW estern Canada XUUniversity Hill HO MANGK elvin MANSOURISt.