2012 Results Pascal Contest Cayley Contest Fermat Contest 2012

The CENTRE for EDUCATION

in MATHEMATICS and COMPUTING

Le CENTRE d’EDUCATION

en MATHEMATIQUES et en INFORMATIQUEwww.cemc.uwaterloo.ca

2012Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2012Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

c©2012 Centre for Education in Mathematics and Computing

Competition Organization Organisation du Concours

Centre for Education in Mathematics and Computing Faculty and Staff /Personnel du Concours canadien de mathematiques

Ed AndersonTerry BaeSteve BrownErsal CahitKaren ColeSerge D’AlessioFrank DeMaioJennifer DoucetFiona DunbarMike EdenBarry FergusonBarb ForrestJudy FoxSteve FurinoJohn GalbraithSandy GrahamAngie HildebrandJudith KoellerJoanne KursikowskiBev MarshmanDean MurrayJen NissenJ.P. PrettiDavid PritchardLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga

2

Competition Organization Organisation du Concours

Problems Committees / Comites des problemes

Pascal Contest / Concours Pascal

Wally Webster (Chair / president), Dashwood, ONLloyd Auckland, St. Thomas, ONJanet Christ, Walter Murray C.I., Saskatoon, SKJ.P. Pretti, University of Waterloo, Waterloo, ONJim Schurter, University of Waterloo, Waterloo, ONTyler Somer, Kitchener, ONAnna Spanik, Halifax Regional School Board, Halifax, NSAaron Warner, St. Mildred’s-Lightbourn School, Oakville, ON

Cayley Contest / Concours Cayley

Jen Nissen (Chair / presidente), University of Waterloo, Waterloo, ONJeff Anderson, Kitchener, ONTom Barker, Stratford, ONBarry Ferguson, University of Waterloo, Waterloo, ONSteve Furino, University of Waterloo, Waterloo, ONChristopher Ing, Vincent Massey S.S., Windsor, ONMichelle Vidberg, Galt C.I., Cambridge, ON

Fermat Contest / Concours Fermat

Paul Fennell (Chair / president), London, ONSandra DellaMaestra, University of Toronto Schools, Toronto, ONSteve Lau, John Diefenbaker S.S., Hanover, ONCliff Lelievre, Oakville, ONCarol Miron, Albert Campbell C.I., Toronto, ONDan Schnabel, Thornhill, ONDavid Shepherd, Ravenna, ON

3

Foreword Avant-Propos

The Centre for Education in Mathematics and Computing is proud to once again be the major sponsor of theCanadian Mathematics Competition this year. The year 2012 marks the 50th year of Contests produced by theCanadian Mathematics Competition.

Our congratulations go to all who participated in this year’s Pascal, Cayley and Fermat Contests. This year’sContests were resounding successes, with averages of 95.5, 87.8 and 87.8 across the three Contests. The numberof official contestants with perfect papers on the three Contests were 18, 29 and 4.

As 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 bepossible.

We would also like to thank all participants, both teachers and students. 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 activities.

Le Centre d’education en mathematiques et en informatique a encore une fois le plaisir d’etre un majeur sup-porter du Concours canadien de mathematiques. L’annee 2012 marque la 50e annee de concours produit par leConcours canadien de mathematiques.

Nos felicitations vont a tous les participants du Concours Pascal, Cayley et Fermat de cette annee. Les Con-cours de cette annee retentissaient de succes, avec des moyennes de 95,5, 87,8 et 87,8 a travers les trois Concours.Le nombre de candidats officiels possedant un concours parfait etait de 18, 29 et 4.

Nous aimerions surtout remercier les Comites de problemes pour leur dur travail. La plupart des membres de cesComites 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 problemes perspicaces et amusants, ces Concours neseraient pas possibles.

Nous aimerions remercier aussi tous les participants incluant les enseignants et les etudiants. Nous esperonsque les concours vous ont offert des mathematiques interessantes qui vous ont amusees et portees a reflechir.Merci pour votre soutien continue!

4

Enrollment Inscription

Number of schools registered by province /Nombre d’ecoles inscrit par province

Pascal Cayley FermatNL 49 44 45NS 38 27 31NB 31 31 29PE 6 5 5QC 92 89 91ON 678 660 649MB 46 43 41SK 24 25 25AB 83 38 40BC 180 170 172NT 1 0 0YT 1 1 1International 104 117 104

Total 1333 1250 1233

Number of students registered by province /Nombre d’etudiants inscrit par province

Pascal Cayley FermatNL 1012 642 556NS 1216 603 575NB 636 514 427PE 128 64 95QC 2480 2186 2111ON 12902 11523 9610MB 1119 909 614SK 552 388 331AB 2370 1017 831BC 4666 3906 3359International 2937 3130 2358

Total 30041 24886 20871

Total number of students enrolled / Nombre d’inscriptions individuelles: 75798

5

Champions – 2012 Champions – 2012

2012 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2012

PASCAL CONTEST / CONCOURS PASCAL

STUDENTS /ELEVESStudents are listed in alphabetical order / Les eleves sont nommes en ordre alphabetique

Gold Medals School Location Grade

Medailles d’or Ecole Endroit NiveauDAVID COHN The Country Day School King City 9RICHARD DU Marc Garneau C.I. North York 9TOM FENG The Woodlands School Mississauga 9VERNON FONG R.C. Palmer S.S. Richmond 9JENNIFER GUO North York 8EMRE ISLAM Campbell C.I. Regina 9ANDREW JIANG Applewood Heights S.S. Mississauga 9JI HOON KIM Dover Bay S.S. Nanaimo 9SOOBIN KIM Port Moody Sr. S.S. Port Moody 9DAVID LI Crestwood School Edmonton 9MOLLY LI Don Mills C.I. North York 9ANDREW LIN St. George’s School Vancouver 8LILY LIU Markville S.S. Markham 9DIMA PARAMONOV Marc Garneau C.I. North York 9BEN WEI North York 8FERRAN XU Walter Murray C.I. Saskatoon 9DAVID ZHAO Woburn C.I Scarborough 9MICHAEL ZOU Bayview S.S. Richmond Hill 9

TEAMS / EQUIPES

School Location Score

Ecole Endroit NoteChampion / Premiere Marc Garneau C.I. North York 442Second / Deuxieme Bayview S.S. Richmond Hill 438

Crestwood School Edmonton 438The Woodlands School Mississauga 438

Fifth / Cinquieme St. George’s School Vancouver 436Walter Murray C.I. Saskatoon 436

6



CAYLEY CONTEST / CONCOURS CAYLEY



Medailles d’or Ecole Endroit NiveauDAVID CHO Nicholson Catholic College Belleville 10MICHAEL CHOW Albert Campbell C.I. Scarborough 10JIAQI DONG Don Mills C.I. North York 10GLORIA FANG University of Toronto Schools Toronto 9HAOWEI GAO Bayview S.S. Richmond Hill 10KAZUKI HARA Pacific Christian School Victoria 10MARS HE Richmond Hill H.S. Richmond Hill 10XINRUI JIA Vincent Massey S.S. Windsor 10JIAHUI JIANG Bayview S.S. Richmond Hill 10BILLY JIN Waterloo C.I. Waterloo 10ANDREW KANG St. Michael’s University School Victoria 10ANDREW KIM University of Toronto Schools Toronto 9JOOHYUNG KO A.Y. Jackson S.S. North York 10TAEK HEE KWUN Halifax West H.S. Halifax 10CATHERINE LEE Appleby College Oakville 10TOM LEE Mount Douglas S.S. Victoria 10BRIAN LI Brother Andre C.H.S. Markham 10SHUHAO LI University Transition Program Vancouver 8DANNY PARK St. Michael’s University School Victoria 10SANG WOO PARK King’s Christian Collegiate Oakville 10YEOUNSU PARK Port Moody Sr. S.S. Port Moody 10QI QI Burnaby North S.S. Burnaby 8DESMOND SISSON Western Canada H.S. Calgary 10FEI WU Upper Can College Toronto 10GLORIA WU University of Toronto Schools Toronto 9ROBBIN XU Lisgar C.I. Ottawa 10ANNA YE Burnaby South S.S. Burnaby 10RYAN ZHU Western Canada H.S. Calgary 10CHARLES ZINN Waterloo C.I. Waterloo 10

TEAMS / EQUIPES


Ecole Endroit NoteChampion / Premiere University of Toronto Schools Toronto 450Second / Deuxieme Bayview S.S. Richmond Hill 444

St. Michael’s University School Victoria 444Waterloo C.I. Waterloo 444

Fifth / Cinquieme Western Canada H.S. Calgary 442

7



FERMAT CONTEST / CONCOURS FERMAT



Medailles d’or Ecole Endroit NiveauQINYI GENG West Vancouver S.S. West Vancouver 11DONG WON KANG North Toronto C.I. Toronto 11LEO LAI Sir Winston Churchill S.S. Vancouver 11URSULA ANNE LIM Burnaby North S.S. Burnaby 11DANIEL SPIVAK Bayview S.S. Richmond Hill 11

TEAMS / EQUIPES


Ecole Endroit NoteChampion / Premiere Sentinel S.S. West Vancouver 424Second / Deuxieme North Toronto C.I. 420Third / Troisieme University of Toronto Schools Toronto 418

Vincent Massey S.S. Windsor 418Fifth / Cinquieme Bayview S.S. Richmond Hill 416

Burnaby North S.S. Burnaby 416Earl Haig S.S. North York 416

8


2012 FERMAT CONTEST REGIONAL CHAMPIONSCHAMPIONS REGIONAUX AU CONCOURS FERMAT 2012

Each student below will receive a $200 prize / Chaque etudiant ci-dessous recevrait un prix de 200 $

Province Student School Location

Province Etudiant Ecole EndroitNL JEREMY MANUEL Pasadena Academy PasadenaNS SAM ABERNETY Citadel H.S. HalifaxNB SUBIN KIM Kennebecasis Valley H.S. RothesayNB YUANDI ZHANG Fredericton H.S. FrederictonPE EDDIE JIANG Colonel Gray Sr. H.S CharlottetownQC ANDREI ZLOTCHEVSKI College Jean de Brebeuf MontrealON Central DANIEL SPIVAK Bayview S.S. Richmond HillON East KEVIN REN Pickering H.S. AjaxON East YUAN YAO Colonel By S.S. GloucesterON Metro DONG WON KANG North Toronto C.I. TorontoON North XUAN HAN Lo-Ellen Park S.S. SudburyON West KAI SUN LondonMB SHUYI WU Fort Richmond C.I. WinnipegSK QI ROGER ZHANG Campbell C.I. ReginaAB YINNING XU Henry Wise Wood Sr. H.S CalgaryAB YIFEI WU Western Canada H.S. CalgaryAB VINSON ZHANG Sir Winston Churchill H.S. CalgaryAB LINDA ZHAO Sir Winston Churchill H.S. CalgaryBC URSULA ANNE LIM Burnaby North S.S. BurnabyBC QINYI GENG West Vancouver S.S. West VancouverYT DAVID LISTER F.H. Collins Whitehorse

9

Correct Answers Bonnes Rponses

# Pascal Cayley Fermat

1 D B B2 E B C3 B A E4 B D A5 A E D6 E C B7 D E C8 A A B9 C B B

10 B C D11 C A E12 B D A13 E E B14 C B C15 C D D16 B B E17 A A A18 A C A19 B D A20 E E B21 A B C22 C C A23 B C A24 D E B25 D D A

10

Pascal Contest Concours Pascal

Number of Contestants / Nombre de concurrents: 22486Average mark / Note moyenne: 95.53

Percentage of contestants selecting each option / Pourcentage de concurrents par choix:

Correct % not % correctAnswer/ attempted/ of attemptedBonne % sans % tentatives

Reponse reponse reussies# A B C D E

1 D 0.20 0.32 0.36 97.87 1.16 0.08 97.952 E 0.49 0.58 0.56 1.38 96.80 0.19 96.983 B 0.72 97.27 0.66 0.44 0.49 0.41 97.674 B 0.48 89.56 0.81 0.97 7.99 0.19 89.735 A 90.21 1.76 1.02 5.07 0.51 1.42 91.516 E 4.39 0.97 0.72 2.96 89.84 1.13 90.867 D 0.67 0.98 9.90 87.84 0.48 0.13 87.958 A 88.09 7.62 1.77 0.62 1.19 0.71 88.719 C 4.79 2.33 76.63 3.83 6.49 5.92 81.45

10 B 25.65 57.27 8.08 3.57 1.57 3.86 59.5711 C 0.61 0.60 95.76 0.68 1.09 1.25 96.9712 B 2.68 83.84 2.98 4.54 3.34 2.62 86.1013 E 11.06 2.13 5.94 14.01 55.46 11.39 62.5914 C 11.81 20.82 47.71 7.62 4.54 7.50 51.5815 C 6.04 4.63 72.10 5.76 2.26 9.22 79.4216 B 3.98 77.11 5.48 7.90 3.21 2.33 78.9517 A 63.62 11.59 9.24 2.17 1.86 11.51 71.8918 A 36.06 5.07 19.85 6.98 7.24 24.80 47.9519 B 5.99 41.80 20.12 5.07 1.45 25.57 56.1620 E 5.47 8.25 7.90 5.80 20.61 51.97 42.9121 A 49.39 4.72 18.91 4.10 8.76 14.12 57.5122 C 6.40 9.20 24.08 17.01 6.30 37.02 38.2323 B 15.35 30.01 6.03 5.26 5.75 37.60 48.0924 D 14.92 8.68 8.13 7.38 12.43 48.47 14.3325 D 10.60 9.37 15.45 5.72 7.24 51.62 11.82

11

Cayley Contest Concours Cayley





1 B 2.21 95.47 0.42 0.11 1.66 0.13 95.592 B 0.89 87.90 4.48 3.41 1.97 1.35 89.113 A 87.66 1.72 6.34 2.01 1.59 0.68 88.264 D 0.47 2.90 7.46 87.90 1.08 0.19 88.075 E 2.87 2.97 2.74 0.79 89.05 1.58 90.486 C 1.69 3.14 88.67 1.88 1.58 3.03 91.447 E 1.02 1.20 2.21 1.72 92.39 1.46 93.768 A 89.88 2.71 0.93 1.14 1.22 4.12 93.759 B 39.97 39.95 11.58 3.05 2.58 2.86 41.13

10 C 8.11 23.72 44.46 14.13 5.34 4.24 46.4211 A 79.97 0.80 1.47 15.13 2.36 0.26 80.1812 D 2.11 5.71 6.26 62.87 3.29 19.77 78.3613 E 3.49 10.61 16.23 4.73 54.05 10.88 60.6514 B 3.67 62.65 11.98 12.98 1.61 7.11 67.4415 D 5.71 9.33 5.63 56.57 6.33 16.44 67.6916 B 3.01 52.71 6.79 4.53 1.40 31.57 77.0217 A 55.79 3.27 18.41 2.84 8.23 11.46 63.0218 C 3.46 5.75 43.04 9.48 5.34 32.93 64.1719 D 6.27 10.05 7.78 31.18 5.01 39.70 51.7120 E 7.89 5.27 7.68 12.68 19.34 47.13 36.5921 B 4.61 33.70 6.10 5.18 2.97 47.44 64.1222 C 14.28 5.09 12.03 18.95 16.74 32.91 17.9323 C 6.83 10.23 26.90 4.94 5.47 45.64 49.4824 E 3.84 30.18 6.29 8.17 6.09 45.42 11.1625 D 4.99 8.00 7.63 12.64 6.81 59.92 31.54

12

Fermat Contest Concours Fermat





1 B 0.64 98.48 0.43 0.19 0.18 0.08 98.552 C 1.40 4.81 91.22 0.75 1.77 0.06 91.273 E 0.63 0.76 0.85 0.71 96.33 0.72 97.034 A 86.19 0.47 0.93 11.44 0.16 0.81 86.895 D 2.70 0.86 3.66 89.23 0.62 2.93 91.936 B 3.58 85.43 2.47 3.67 1.10 3.75 88.767 C 2.05 0.55 86.20 3.09 2.80 5.31 91.048 B 3.29 87.04 2.91 1.83 2.97 1.96 88.799 B 2.38 59.90 30.03 1.40 1.43 4.86 62.96

10 D 0.80 4.02 3.24 81.41 4.65 5.88 86.4911 E 2.73 8.82 14.92 3.45 61.15 8.93 67.1412 A 55.18 8.01 7.59 2.61 12.81 13.79 64.0113 B 2.91 85.53 3.04 5.59 1.55 1.38 86.7314 C 6.80 5.63 43.01 16.52 11.48 16.57 51.5515 D 4.44 2.45 4.68 72.69 3.67 12.08 82.6716 E 1.46 4.02 2.43 6.43 82.96 2.71 85.2717 A 38.44 30.85 2.43 9.13 4.11 15.05 45.2518 A 27.68 9.19 7.41 15.52 6.25 33.95 41.9019 A 18.76 3.28 17.29 17.59 10.93 32.16 27.6520 B 37.61 27.30 8.91 5.23 2.29 18.65 33.5621 C 5.46 6.62 19.38 3.89 6.17 58.49 46.6922 A 18.80 10.74 10.56 7.92 5.37 46.61 35.2023 A 4.71 4.47 6.72 8.95 5.80 69.34 15.3524 B 9.68 7.86 14.19 5.39 8.88 53.99 17.0925 A 4.21 4.40 7.82 6.46 4.06 73.05 15.64

13

Student Rankings Classements des eleves

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position150 1 1 1149148147146 30145 19 31 5144 20 32 6143142 84 56 17141 218140 219 133139 225 135138 239 139 27137 440 167 48136 469 177 51135 663 240134 667 241 63133 931 306 83132 980 315 88131 1173 367 139130 1225 394 140129 1413 486 178128 1499 505 179127 1803 636 213126 1866 666 227125 2120 778 350124 2208 818 357123 2436 909 426122 2563 974 435121 2908 1117 495120 3026 1185 526119 3362 1371 716118 3482 1444 731117 3774 1588 842116 3959 1696 867115 4302 1894 1008114 4481 2029 1069113 4850 2268 1344112 5034 2405 1397111 5381 2604 1626110 5635 2778 1671109 6045 3006 1876108 6337 3226 1957107 6778 3452 2307106 7047 3654 2382105 7493 3903 2691104 7786 4119 2813103 8195 4355 3077102 8555 4639 3256101 8955 4897 3586100 9337 5144 3752


Position Position Position99 9789 5384 410198 10156 5640 427297 10525 5936 462096 10955 6214 487795 11333 6491 524294 11760 6777 549493 12223 7066 586792 12582 7342 615291 12969 7648 644390 13369 7951 676089 13756 8231 707688 14169 8546 740387 14565 8845 773586 14949 9091 804185 15291 9413 834184 15643 9701 862783 16011 10021 892482 16381 10284 924581 16689 10572 951680 16995 10841 977779 17303 11103 1000878 17559 11369 1027377 17893 11721 1053876 18194 11965 1079275 18459 12227 1100974 18718 12457 1122173 18959 12711 1141572 19182 12935 1165871 19409 13216 1186270 19627 13432 1205669 19851 13631 1219568 20033 13821 1234867 20205 14015 1251166 20354 14231 1267465 20527 14478 1280664 20672 14669 1291263 20817 14815 1304262 20950 14963 1314761 21057 15144 1326560 21155 15323 1336159 21275 15443 1346958 21380 15547 1355457 21498 15690 1364456 21583 15828 1372755 21657 15967 1381154 21736 16075 1388253 21802 16177 1393952 21872 16265 1400051 21932 16357 1405850 21979 16443 1411749 22022 16517 14167

14

Student Rankings Classements des eleves


Position Position Position48 22057 16577 1420647 22117 16637 1425346 22150 16713 1430845 22183 16784 1434544 22213 16850 1437843 22240 16897 1441342 22272 16936 1443441 22291 16983 1446040 22320 17023 1448239 22334 17053 1450138 22351 17079 1451837 22370 17098 1454036 22386 17115 1455235 22400 17136 1457034 22409 17155 1457633 22415 17173 1458532 22423 17186 1459531 22429 17193 1460330 22438 17220 1461529 22443 17234 1462128 22450 17246 1462627 22453 17256 1463226 22460 17263 1463725 22464 17275 1464124 22468 17278 1464523 22469 17282 1464622 22471 17285 1464821 22474 17288 1465220 17290 1465419 22478 17291 1465618 22479 17292 1465717 22481 1729316 22485 17295 146591514 1466013 17296 1466212 172971110 14663

N.B. These rankings pertain to eligible contestantsonly /N.B. Ces rangs se rapportent seulement aux concur-rents admissibles

15

Team Scores Notes des equipes

Scores/ Pascal Cayley FermatNotes # of Schools/ # of Schools/ # of Schools/

No d’ecoles No d’ecoles No d’ecol es440 - 450 1 5 0430 - 439 12 8 0420 - 429 33 6 2410 - 419 48 14 8400 - 409 41 24 9390 - 399 65 29 18380 - 389 65 32 18370 - 379 77 38 26360 - 369 70 35 30350 - 359 77 57 40340 - 349 91 71 57330 - 339 73 71 73320 - 329 78 70 90310 - 319 55 77 76300 - 309 41 63 82

Number of three student teams / Nombre d’equipes de trois elevesPascal Contest / Concours Pascal : 950Cayley Contest / Concours Cayley : 888Fermat Contest / Concours Fermat : 875

16

The CENTRE for EDUCATION

in MATHEMATICS and COMPUTING

Le CENTRE d’EDUCATION

en MATHEMATIQUES et en INFORMATIQUEwww.cemc.uwaterloo.ca

2012Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2012Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

Cayley Contest Honour RollsPalmares pour le concours Cayley

Score/NoteCity/VilleRank/Rang

School/École

450Toronto1 University of Toronto Schools

444Richmond Hill2 Bayview S.S.

444Victoria2 St. Michael's Univ. School

444Waterloo2 Waterloo C.I.

442Calgary5 Western Canada H.S.

438Windsor6 Vincent Massey S.S.

434North York7 Don Mills C.I.

434Toronto7 Upper Can Col-Upper School

432North York9 Marc Garneau C.I.

431North York10 A.Y. Jackson S.S.

431Burnaby10 Burnaby North S.S.

430Markham12 Brother Andre C.H.S.

430Richmond Hill12 Richmond Hill H.S.

428Port Moody14 Port Moody Sr. S.S.

426North York15 Earl Haig S.S.

422Vancouver16 Sir Winston Churchill S.S.

420Victoria17 Mount Douglas S.S.

420Ajax17 Pickering H.S.

420Vancouver17 University Hill S.S.

418Montreal20 College Jean de Brebeuf

418Burnaby20 Moscrop S.S.

418Delta20 Seaquam S.S.

418Vancouver20 St. George's School

416Vancouver24 University Transition Program

415Thornhill25 Thornhill S.S.

414Burnaby26 Burnaby South S.S.

414Gloucester26 Colonel By S.S.

414Etobicoke26 Martingrove C.I.

413Scarborough29 Sir John A. Macdonald C.I.

412Mississauga30 Mentor College

410Montreal31 College Jean Eudes

410Halifax31 Halifax West H.S.

410Mississauga31 The Woodlands School

409Oakville34 Appleby College

409Richmond Hill34 Holy Trinity School

408Ottawa36 Lisgar C.I.

408Coquitlam36 Pinetree S.S.

408Calgary36 Sir Winston Churchill H.S.

408Surrey36 Southridge School

408North York36 York Mills C.I.

406Markham41 Bur Oak S.S.

406Westmount41 E. Int'l de Montreal

405Nepean43 Bell H.S.

405Scarborough43 Dr. Norman Bethune C.I.

404Bedford45 Charles P. Allen H.S.

404Mississauga45 Glenforest S.S.

404Fredericton45 Leo Hayes H.S.

402Burnaby48 Burnaby Mountain S.S.

402Winnipeg48 Fort Richmond C.I.

402Markham48 Markham District H.S.

402Edmonton48 Old Scona Academic H.S.

402Winnipeg48 St. John's-Ravenscourt School

2012Cayley Contest/Concours Cayley

Team List/Palmarès d'équipes

Grade/NiveauLocation/Endroit

Name/Nom School/École

Group I/Groupe I Scores/Notes 150 - 147CHO DAVID 10BellevilleNicholson Catholic College

CHOW MICHAEL 10ScarboroughAlbert Campbell C.I.

DONG JIAQI 10North YorkDon Mills C.I.

FANG GLORIA 9TorontoUniversity of Toronto Schools

GAO HAOWEI 10Richmond HillBayview S.S.

HARA KAZUKI 10VictoriaPacific Christian School

HE MARS 10Richmond HillRichmond Hill H.S.

JIA XINRUI 10WindsorVincent Massey S.S.

JIANG JIAHUI 10Richmond HillBayview S.S.

JIN BILLY 10WaterlooWaterloo C.I.

KANG ANDREW 10VictoriaSt. Michael's Univ. School

KIM ANDREW 9TorontoUniversity of Toronto Schools

KO JOOHYUNG 10North YorkA.Y. Jackson S.S.

KWUN TAEK HEE 10HalifaxHalifax West H.S.

LEE CATHERINE 10OakvilleAppleby College

LEE TOM 10VictoriaMount Douglas S.S.

LI BRIAN 10MarkhamBrother Andre C.H.S.

LI SHUHAO 8VancouverUniversity Transition Program

PARK DANNY 10VictoriaSt. Michael's Univ. School

PARK SANG WOO 10OakvilleKing's Christian Collegiate

PARK YEOUNSU 10Port MoodyPort Moody Sr. S.S.

QI QI 8BurnabyBurnaby North S.S.

SISSON DESMOND 10CalgaryWestern Canada H.S.

WU FEI 10TorontoUpper Can Col-Upper School

WU GLORIA 9TorontoUniversity of Toronto Schools

XU ROBBIN 10OttawaLisgar C.I.

YE ANNA 10BurnabyBurnaby South S.S.

ZHU RYAN 10CalgaryWestern Canada H.S.

ZINN CHARLES 10WaterlooWaterloo C.I.

Group II/Groupe II Scores/Notes 146 - 143Niagara FallsSaint Michaels C.H.S.BARTY JAMES 10

Mont-Saint-HilaireE.S. Ozias-LeducBELLAVANCE NICOLAS 10

WindsorVincent Massey S.S.CHANG CHEN 10

MississaugaMentor CollegeCHEN DANIEL 10

StratfordStratford Northwestern S.S.CONGRAM BEN 10

VictoriaSt. Michael's Univ. SchoolHAN JACKY 10

WinnipegFort Richmond C.I.HU DANCHENG 10

BedfordCharles P. Allen H.S.KESELJ STEFAN 10

FrederictonLeo Hayes H.S.LEE JUNHO 10

WhitbySinclair S.S.LEE NICHOLAS 10

Richmond HillBayview S.S.LI DUN 10

NepeanMerivale H.S.LIANG JEFFREY 10

North York LU YI FAN 10

FrederictonLeo Hayes H.S.PARK JOHN 10

VancouverKitsilano S.S. (English)SHIM SUNG HWAN 9

ReginaCampbell C.I.SONG QIANLIN 10

WindsorVincent Massey S.S.TANG SIMON 10

MarkhamBrother Andre C.H.S.VAN HEER SHYAN 10

West VancouverRockridge S.S.WANG YITAO 10

North YorkMarc Garneau C.I.WEN CHRISTIAN 10

BurnabyMoscrop S.S.WONG JASON 10

WindsorVincent Massey S.S.WONG SANDY 10


Student Rankings/Palmarès d'étudiants

Group II/Groupe II Scores/Notes 146 - 143North YorkMarc Garneau C.I.WU XIAOZE 10

WaterlooWaterloo C.I.ZHANG JIM 10

TorontoUniversity of Toronto SchoolsZHOU JOHN 9

North YorkMarc Garneau C.I.ZHOU YEXINHAO 10

Group III/Groupe III Scores/Notes 142 - 14110St. George's SchoolADAM JAHID Vancouver

10Harbord C.I.BAE STELLA Toronto

10York Mills C.I.BAO JONATHAN North York

10Selwyn House SchoolBI WEIGUANG Westmount

10Don Mills C.I.CAI KEVIN North York

10Marc Garneau C.I.CAO JESSICA North York

10Upper Can Col-Upper SchoolCHAI JUSTIN Toronto

10Upper Can Col-Upper SchoolCHAN ALEX Toronto

10Thornhill S.S.CHEN CRYSTAL Thornhill

10Point Grey S.S.CHEN ERIC Vancouver

10Don Mills C.I.CHEN KEVIN North York

10Bayview S.S.CHEN RENPEI Richmond Hill

10Parkdale C.I.CHEN TONY Toronto

10Barrie North C.I.CHENG LISA Barrie

10Richmond S.S.DAI VIVIAN Richmond

10Earl Haig S.S.DAN IEL PARK North York

10Pickering H.S.DEANE MATTHEW Ajax

10Nelson H.S.DES COTES BERT Burlington

10College Jean de BrebeufDONG LARRY Montreal

10College Sainte-Anne de LachineDU ZHUO CHENG Lachine

9University of Toronto SchoolsFENG EDWARD Toronto

10College Jean EudesFRENETTE MAXENCE Montreal

10Seaquam S.S.HAOJI TANG Delta

10Colonel By S.S.HUANG DAVID Gloucester

10Mount Douglas S.S.JIANG CHENGYANG Victoria

10Marc Garneau C.I.JIANG KEVIN North York

10Hugh McRoberts S.S.JIANG TIMOTHY Richmond

10Mentor CollegeKIM EUN KEE Mississauga

10Ancaster H.S.KIM GEUNMOK Ancaster

8Waterloo C.I.LAI ELBERT Waterloo

10 LAM EMILY North York

10St. Ann's AcademyLANGEVIN BRIAN Kamloops

10Upper Can Col-Upper SchoolLAU WOODY Toronto

10A.B. Lucas S.S.LAVI EILON London

10Hillfield-Strathallan Coll. H.S.LEE ANGUS Hamilton

10Bayview S.S.LEE STEPHEN Richmond Hill

10Upper Can Col-Upper SchoolLEUNG EDRIC Toronto

10Sir Winston Churchill S.S.LEUNG NICHOLAS Vancouver

9University of Toronto SchoolsLEUNG TIFFANY Toronto

10Earl Haig S.S.LI BENJAMIN North York

10Bayview S.S.LI LYN Richmond Hill

8Burnaby North S.S.LIM JEANNE Burnaby

10Don Mills C.I.LIU SIHAO North York

10Pierre Elliott Trudeau H.S.MA ZIYE Markham

10Fredericton H.S.MERLINI MARCO Fredericton

10Port Credit S.S.MORTON ADRIAN Mississauga

10Fleetwood Park S.S.PEI YAN RU Surrey

10Richmond Hill H.S.PENG STEPHEN Richmond Hill

10Pickering H.S.ROUSSO DAVID Ajax



Group III/Groupe III Scores/Notes 142 - 14110Bayview S.S.SU ZI QING Richmond Hill

10Martingrove C.I.SUK PAUL Etobicoke

10University Hill S.S.SUN ALEX Vancouver

10Bayview S.S.TAU ANDREW Richmond Hill

9Bayview S.S.TIAN RYAN Richmond Hill

10Burnaby Central S.S.TING TA JIUN Burnaby

9University of Toronto SchoolsWAN CLEMENT Toronto

10Holy Trinity SchoolWANG KEVIN Richmond Hill

10A.Y. Jackson S.S.WANG YUE North York

10Marc Garneau C.I.WANG ZHIYUAN North York

10Bur Oak S.S.WU JIM Markham

10Sir Winston Churchill H.S.XIA TIM Calgary

10Holy Trinity SchoolXIAO DAPHNE Richmond Hill

10Bell H.S.XU STEPHEN Nepean

10Bayview S.S.XU YI MICHAEL Richmond Hill

10Sir John A. Macdonald C.I.YE JIMMY Scarborough

10The Woodlands SchoolYIN DAVID Mississauga

10Sir Winston Churchill S.S.ZHANG ANNI Vancouver

10College Jean de la MennaisZHANG KEVIN La Prairie

10College Jean de BrebeufZHANG RICHARD Montreal

10Vincent Massey S.S.ZHANG TONY Windsor

10Port Moody Sr. S.S.ZHANG YANRU Port Moody

10Western Canada H.S.ZHANG YUCHENG Calgary

10College St. AlexandreZHANG ZIYE Gatineau

10College BeauboisZHAO ERICK Pierrefonds

10Earl Haig S.S.ZHOU IV N North York

10University Hill S.S.ZHU FRANK Vancouver

10Windermere S.S.ZHU JAMESON Vancouver

Group IV/Groupe IV Scores/Notes 140 - 136VancouverUniversity Hill S.S.AN ANDY 10

WinnipegSt. John's-Ravenscourt SchoolASAMINEW JOSEPH 10

BarrieBarrie North C.I.BETTENCOURT JACQUELINE 10

WaterlooWaterloo C.I.BIAN LISA 8

North YorkCrescent SchoolCAI DAVID 10

BurnabyMoscrop S.S.CHANG MATTHEW 10

North YorkYork Mills C.I.CHEN FANNY 10

GloucesterColonel By S.S.CHEN ZI KAI 10

Richmond HillSt. Theresa of Lisieux C.H.S.CHO WON BUM 10

Richmond HillBayview S.S.CHOI ANDREW 10

DeltaSeaquam S.S.CHUNG LINUS 10

AjaxPickering H.S.DEANE THOMAS 10

BarrieInnisdale S.S.DONG HELEN 10

OrleansSt. Peter C.H.S.FITZPATRICK LIAM 10

EtobicokeMartingrove C.I.FLOREA ALEXANDRU 10

SurreySouthridge SchoolGHANGASS SOORUJ 10

North YorkMarc Garneau C.I.GHERGHE SEBASTIAN 10

MississaugaSt. Aloysius Gonzaga S.S.GUI JEREMY 10

EtobicokeMartingrove C.I.GUO SHERRY 10

VancouverSt. George's SchoolHAN HENRY 10

Richmond HillSt. Theresa of Lisieux C.H.S.HEINZLE JOSEPH 10

WestmountE. Int'l de MontrealHOU YAWEN 10

VictoriaSt. Michael's Univ. SchoolHU LANCE 10

WaterlooWaterloo C.I.HU TING HAN 10

Richmond HillBayview S.S.HUA KEVIN 10



Group IV/Groupe IV Scores/Notes 140 - 136North YorkMarc Garneau C.I.HUANG SIMON 10

BurnabyBurnaby Mountain S.S.HUANG TODD 10

North York HUANG TONY 10

NepeanMerivale H.S.ISMAIL AMEEN 10

WestmountMiss Edgar and Miss Cramp's School

IWASAKI HIKARI 8

North YorkEarl Haig S.S.JIN BEN 10

SurreyNorth Surrey S.S.JU DAVID 10

SurreyNorth Surrey S.S.JU FRANK 10

VancouverSt. George's SchoolKANG IN GUK 10

GloucesterGloucester H.S.KAO CHANG TING 10

CalgaryBishop Carroll H.S.KIM ANDREW 10

coquitlam KIM CHAEEUN 10

Port MoodyPort Moody Sr. S.S.KIM DONG KYU 10

CornwallSt. Joseph's S.S.KIM SEUNGHYUN 10

CalgaryWebber AcademyKIM YEONKYEONG 10

LangleyR.E. Mountain S.S.LEE CHANGEUN 10

LangleyWalnut Grove S.S.LEE JASON 9

CoquitlamPinetree S.S.LEE LOUIS 10

BurnabyMoscrop S.S.LEE OLIVER 10

WinnipegSt. Paul's H.S.LEE SEBASTIAN 10

TorontoCanada's National Ballet SchoolLEOWINATA STELLA 10

CoquitlamPinetree S.S.LEUNG CHARLES 10

ScarboroughDr. Norman Bethune C.I.LI ANDREW 10

Richmond HillBayview S.S.LI OLIVER 10

RichmondR.C. Palmer S.S.LI PAUL 10

VancouverSt. George's SchoolLI TONY 10

North YorkA.Y. Jackson S.S.LI YANQIAN 10

HamiltonWestmount S.S.LI YONGXUAN 10

AjaxPickering H.S.LINTON OWEN 10

ScarboroughSir John A. Macdonald C.I.LU KAREN 10

CoquitlamGleneagle S.S.LU LIUPEI 10

CambridgeGlenview Park S.S.LYONS GARRETT 10

DeltaSeaquam S.S.MA DARREL 9

ElmiraElmira D.S.S.MACLEAN ALEX 10

BridgewaterPark View Education CentreMADER BRADLEY 10

TorontoUniversity of Toronto SchoolsMANJUNATH ANOOP 9

GloucesterColonel By S.S.NYIRI BLANKA 10

RichmondA.R. MacNeill S.S.OR TYLER 10

MississaugaSt. Francis Xavier S.S.OUELLETTE MICHAEL 10

VictoriaSt. Michael's Univ. SchoolPARK JENNIFER 10

TorontoUpper Can Col-Upper SchoolPASRICHA SACHIN 10

SurreySouthridge SchoolPATTAR SIMARPREET 10

MississaugaGlenforest S.S.QIN LIFEI 10

EdmontonOld Scona Academic H.S.RU MICHAEL 10

CornwallCornwall C.I. & V. S.SELVANAYAGAM JANAHAN 10

Richmond HillBayview S.S.SETHURAMAN VARUN 10

BurnabyBurnaby North S.S.SHAO STEVEN 10

VancouverSir Winston Churchill S.S.SHEN MARY 10

RichmondSteveston London S.S.SHIH ANDY 10

AuroraSt. Andrew's CollegeSON G PE TER 10

VancouverSir Winston Churchill S.S.SONG JULIAN 10

BurnabyBurnaby Mountain S.S.SONG SCOTT 10

TorontoBranksome HallSUN YUEFAN 10

North YorkEarl Haig S.S.SZE SERENA 10

ThornhillThornhill S.S.TAN SHAW 10

North YorkVictoria Park C.I.THIRUNAVUKKARA ABEYAN 10



Group IV/Groupe IV Scores/Notes 140 - 136MontrealCollege Jean EudesUAICLANCOURT H THOMAS 10

SurreyElgin Park S.S.WANG GUO KAI 10

WestmountE. Int'l de MontrealWANG ZITONG 10

North YorkDon Mills C.I.WEI ZHONGYI 10

North YorkMarc Garneau C.I.WINCH HARRISON 10

MarkhamMarkham District H.S.WONG CALVIN 10

VancouverSir Winston Churchill S.S.WONG SIUHEI 10

New WestminsterNew Westminster S.S.XU YU KANG 10

WindsorVincent Massey S.S.XU YUWEI 10

GloucesterColonel By S.S.YANG HELEN 10

ScarboroughDr. Norman Bethune C.I.YANG MICHAEL 10

VancouverSt. George's SchoolYANG THOMAS 10

Richmond HillBayview S.S.YEUNG BRIAN 10

North YorkA.Y. Jackson S.S.YEUNG KAREN 10

BurnabyBurnaby North S.S.YI N OWEN 8

SaskatoonWalter Murray C.I.YU XIAOXUAN 10

VictoriaClaremont S.S.YZENBRANDT KAI 10

Richmond HillBayview S.S.ZHANG JERRY 10

VancouverUniversity Transition ProgramZHANG KEVIN 8

SurreyElgin Park S.S.ZHANG LANCE 10

ThornhillThornlea S.S.ZHANG MINGHE 10

WindsorVincent Massey S.S.ZHANG ZIHAO 10

BurnabyMoscrop S.S.ZHAO ALICE 10

North York ZHAO COLIN 10

Richmond HillBayview S.S.ZHOU JERRY 10

Richmond HillRichmond Hill H.S.ZHOU KEWEI 10

Group V/Groupe V Scores/Notes 135 - 132WestmountWestmount H.S.AN CHENGYUN 10

LondonLondon Central S.S.ASANTEY KWESI 10

VancouverLord Byng S.S.CHAN HAO ZHI 10

North York CHAN MATTHEW 10

VancouverLord Byng S.S.CHEN ANGELA 10

Richmond HillBayview S.S.CHEN CINDY 10

MontrealCollege Jean de BrebeufCHEN JIYANG 10

CoquitlamPinetree S.S.CHEN LEROY 10

ScarboroughAgincourt C.I.CHENG VICKY 10

TorontoLawrence Park C.I.CHENG WAYNE 10

VancouverSir Winston Churchill S.S.CHOI JULIET 10

CalgarySir Winston Churchill H.S.DAI YU NING 10

DunrobinWest Carleton S.S.DAS DYUMAN 10

BramptonTurner Fenton S.S.DHAWAN VANSHIKA 10

MississaugaThe Woodlands SchoolDONG MICHELLE 10

MontrealCollege Jean de BrebeufFAN R BOYAN 10

DeltaSeaquam S.S.FANG JERRY 10

TorontoUniversity of Toronto SchoolsFRANCIS DAVID 9

Richmond HillRichmond Hill H.S.GANESH JEGA 10

MontrealCollege Jean EudesGAO XIAOYA 10

MontrealCollege Jean EudesGEORGES GABRIEL 10

La PrairieCollege Jean de la MennaisGRENIER ERIC 10

SherbrookeSeminaire de SherbrookeGUO FOREST 10

North YorkMarc Garneau C.I.HAJI TARIQ 10

WaterlooSir John A. Macdonald S.S.HARRIS OCTAVIO 10

DeltaSouthpointe AcademyHUA NG GLORIA 10

WinnipegSt. John's-Ravenscourt SchoolHUANG DANIEL 10



Group V/Groupe V Scores/Notes 135 - 132VancouverUniversity Hill S.S.HUYNH ATHENA 10

TorontoUniversity of Toronto SchoolsJACKSON JACOB 9

PierrefondsPierrefonds Comprehensive H.S.JANTAK SOPHIE 10

VictoriaSt. Michael's Univ. SchoolJANUS JACK 10

LondonLondon Central S.S.JEOUNG STEVE 10

MarkhamUnionville H.S.JEYASEELAN AERON 10

North YorkVictoria Park C.I.JIANG LEO 10

VancouverYork House SchoolJIANG XINRONG 10

TorontoUpper Can Col-Upper SchoolJIN JAMES 10

Port MoodyPort Moody Sr. S.S.KANG DON 10

VancouverSt. George's SchoolKAY RUPERT 10

AjaxPickering H.S.KHONG EDREA 10

CoquitlamPinetree S.S.KIM JIHYEON 10

coquitlam KIM SEUNG YOON 10

Richmond HillAcademy for Gifted Children-PACEKRAPIVSKY JONATHAN 10

ThornhillThornhill S.S.KULIKOV DANIEL 10

EdmontonOld Scona Academic H.S.KWAK FRED 10

TorontoUniversity of Toronto SchoolsLAM SIMON 9

North YorkEarl Haig S.S.LAU ANTHEA 10

MississaugaSt. Francis Xavier S.S.LAU STELLA 10

Richmond HillBayview S.S.LE ANTHONY 10

Richmond HillBayview S.S.LEE BRIAN 10

VancouverSt. George's SchoolLEE IAN 10

TorontoForest Hill C.I.LEE JAE WOOK 10

KitchenerCameron Heights C.I.LEE SEOJIN 10

VancouverPoint Grey S.S.LEE SUNNY 10

ScarboroughWest Hill C.I.LEM TRACEY 10

East YorkLeaside H.S.LI ALICE 10

MississaugaThe Woodlands SchoolLI NATHAN 10

WaterlooWaterloo C.I.LI RONGZHAO 10

SurreySemiahmoo S.S.LI SHUHAO 10

WinnipegSt. John's-Ravenscourt SchoolLI VICTOR 10

WestmountE. Int'l de MontrealLI YILUN 10

MarkhamBrother Andre C.H.S.LIMFAYLAY MATTHEW 10

RichmondJ.N. Burnett S.S.LIN ALBERT 10

MarkhamUnionville H.S.LIU LYDIA 10

LondonLondon Central S.S.LIU QINGFAN 10

OttawaBrookfield H.S.LIU RUNJIA 10

MarkhamBur Oak S.S.LU VINCENT 10

SudburyCollege Notre-DameM RCEAU HENRI PHIL 10

MonctonBernice MacNaughton H.S.MANLEY NATHAN 10

North YorkWilliam Lyon Mackenzie C.I.MATSUI NOAH 10

ThornhillVaughan S.S.MIRZOYAN RUBEN 10

WaterlooWaterloo C.I.MOTZ CHRIS 10

TorontoUniversity of Toronto SchoolsMUCSI BEN 9

WinnipegKelvin H.S.NAM GINA 10

TorontoUniversity of Toronto SchoolsNG KELVIN 9

MontrealE.S. St. LucNG VINCENT 10

CoquitlamPinetree S.S.NI FAY 10

NewmarketSacred Heart C.H.S.NIEDZIALEK ANDREW 10

SurreyPacific AcademyPARK KATIE 10

WaterlooWaterloo C.I.RAW JAKE 10

CalgaryWestern Canada H.S.RUI ALLAN 10

HamiltonSherwood S.S.SANTOLI STEVEN 10

BurnabyBurnaby South S.S.SHEN JACQUELINE 10

VancouverLord Byng S.S.SHI XINYU 10

Richmond HillBayview S.S.SITO TRISTAN 10



Group V/Groupe V Scores/Notes 135 - 132Pitt MeadowsPitt Meadows S.S.STEFURAK DUNCAN 10

VancouverDavid Thompson S.S.TAN DAVID 10

TorontoNorthern S.S.TANG DAVID 10

MarkhamBrother Andre C.H.S.TANG JASON 10

East YorkLeaside H.S.URBAN ADAM 10

StratfordStratford Central S.S.WALDEN EVAN 10

WindsorVincent Massey S.S.WANG CHENYU 10

NepeanBell H.S.WANG CHINCHIN 10

VancouverUniversity Hill S.S.WANG MARTIN 10

SurreyFraser Heights S.S.WANG MASSIE 10

North YorkMarc Garneau C.I.WANG RENHAO 10

WinnipegSt. John's-Ravenscourt SchoolWANG RYAN 10

EdmontonOld Scona Academic H.S.WANG SHERRY 10

BurnabyMoscrop S.S.WEN SI JIA 10

CalgarySir Winston Churchill H.S.WIJAYA GRACE 10

SurreySouthridge SchoolWONG BRODY 10

CoquitlamPinetree S.S.WONG MARCUS 10

ScarboroughSir John A. Macdonald C.I.WU CHUANXIN 10

DeltaSeaquam S.S.WU KENNETH 10

VancouverLord Byng S.S.WU YIXIN 10

MississaugaGlenforest S.S.XIA YUNXIAO 10

North YorkMarc Garneau C.I.XIE ANGELA 10

CoquitlamPinetree S.S.XU SUM 10

MississaugaGlenforest S.S.XU YI 10

Scarborough YAN ZEN 10

ScarboroughDr. Norman Bethune C.I.YANG HUIYI 10

VancouverSir Winston Churchill S.S.YANG MIKE 10

Richmond HillBayview S.S.YANG ZIFAN 10

North YorkA.Y. Jackson S.S.YAO ZHENG 10

North YorkEarl Haig S.S.YOU YOONSUN 10

MarkhamMarkham District H.S.YOUNG RYAN 10

CoquitlamPinetree S.S.YU ALEC 10

CoquitlamPinetree S.S.YU TOMMY 10

VancouverSir Winston Churchill S.S.YUAN BROCK 10

MarkhamUnionville H.S.ZHANG BRENDAN 10

TorontoNorth Toronto C.I.ZHAO JONATHAN 10

ScarboroughAlbert Campbell C.I.ZHAO KINNA 10

WaterlooSir John A. Macdonald S.S.ZHOU ALICE 10

West VancouverCollingwood SchoolZHOU ZEHUI 10

MississaugaGlenforest S.S.ZHU GRACE 10

North YorkEarl Haig S.S.ZHU MARY 10

TorontoNorthern S.S.ZHU WEI YU 10

MontrealRoyal Vale SchoolZIZHEN MU 10



Documents

2012 Results Pascal Contest Cayley Contest Fermat Contest 2012