2009 pascal contest concours pascal - cemcjasmine zhang bayview s.s. richmond hill 10 dong chenzhou...

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Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario Concours canadien de math´ ematiques Une activit´ e du Centre d’´ education en math´ ematiques et en informatique, Universit´ e de Waterloo, Waterloo, Ontario 2009 Results Pascal Contest (Grade 9) Cayley Contest (Grade 10) Fermat Contest (Grade 11) 2009 esultats Concours Pascal (9 e ann´ ee – Sec. III) Concours Cayley (10 e ann´ ee – Sec. IV) Concours Fermat (11 e ann´ ee – Sec. V) Avec la contribution de: Avec la participation de: c 2009 Centre for Education in Mathematics and Computing

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Page 1: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

CanadianMathematicsCompetition

An activity of the Centre forEducation in Mathematics and Computing,University of Waterloo, Waterloo, Ontario

Concourscanadien demathematiquesUne activite du Centre d’educationen mathematiques et en informatique,Universite de Waterloo, Waterloo, Ontario

2009Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2009Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

Avec la contribution de: Avec la participation de:

c©2009 Centre for Education in Mathematics and Computing

Page 2: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Competition Organization Organisation du Concours

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

Ed AndersonLloyd AucklandTerry BaeJanet BakerSteve BrownJennifer CoutureFrank DeMaioMarie-Pascale DesjardinsFiona DunbarJeff DunnettMike EdenBarry FergusonJudy FoxSteve FurinoSandy GrahamAngie HildebrandJudith KoellerJoanne KursikowskiAngie MurphyDean MurrayJen NissenJ.P. PrettiLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga

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Page 3: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

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, SKNerissa Coronel, St. Marguerite d’Youville C.S.S., Brampton, ONJP Pretti, University of Waterloo, Waterloo, ONJim Schurter, University of Waterloo, Waterloo, ONTyler Somer, Kitchener, ONAnna Spanik, Halifax West H.S., Halifax, NS

Cayley Contest / Concours Cayley

Jeff Anderson (Chair / president), Forest Heights C.I., Kitchener, ONTom Barker, Stratford, ONSteve Furino, University of Waterloo, Waterloo, ONShawn Godin, Cairine Wilson S.S., Orleans, ONCatherine Haines, Toronto, ONChristopher Ing, Vincent Massey S.S., Windsor, ONJack Koenka, Toronto, ONJen Nissen, University of Waterloo, Waterloo, ON

Fermat Contest / Concours Fermat

Paul Fennell (Chair / president), London, ONFiona Dunbar, University of Waterloo, Waterloo, ONSteve Lau, John Diefenbaker S.S., Hanover, ONCliff Lelievre, Oakville, ONDean Murray, University of Waterloo, Waterloo, ONAlexandru Pintilie, Crescent School, Toronto, ONDan Schnabel, Vaughan S.S., Thornhill, ONDavid Shepherd, Ravenna, ON

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Page 4: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

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 2009 marks the 47th 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 average of 87.9, 90.0 and 85.1 across the three Contests. The number ofstudents with perfect papers on the three Contests were 5, 19 and 3. We are very pleased with these results. Theoverall number of students writing this year’s papers showed a small increase over that from 2008.

Again this year, individual school results were available online in “real time” as we scanned and marked forms.As a result, we were able to have some students’ scores available within two days of the Contests. We hope thatit is helpful to you to get such quick feedback.

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 2009 marque la 47e 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 87,9, 90,0 et 85,1 a travers les trois Concours.Le nombre d’etudiants possedant un concours parfait etait de 5, 19 et 3. Nous sommes satisfait de ces resultats.L’ensemble du nombre de participants cette annee a montre une petite augmentation comparee a 2008.

Encore une fois cette annee, les resultats d’ecole etaient disponible en ligne au fur et a mesure que nous avionsbalaye et corrige les formulaires de reponses. Par consequent, nous avions les resultats pour beaucoup des etudiantsdisponibles deux jours apres les Concours. Nous esperons qu’il vous est utile de recevoir des resultats aussi rapi-dement.

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!

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Page 5: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Enrollment Inscription

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

Pascal Cayley FermatNL 55 50 50NS 38 28 28NB 32 31 32PE 7 4 4QC 105 102 103ON 664 641 642MB 46 47 48SK 38 35 35AB 87 39 46BC 199 188 184International 68 74 72

Total 1339 1239 1244

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

Pascal Cayley FermatNL 1114 818 724NS 1305 620 612NB 749 745 558PE 184 73 66QC 3214 2986 2548ON 14699 12039 10502MB 1404 990 838SK 707 583 516AB 2646 766 726BC 5858 4831 4277International 2601 2338 1829

Total 34481 26789 23196

Total number of students enrolled / Nombre d’inscriptions individuelles: 84466

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Champions – 2009 Champions – 2009

2009 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2009

PASCAL CONTEST / CONCOURS PASCAL

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

Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauANQI DONG Walter Murray C.I. Saskatoon 9ANDY LI Moscrop S.S. Burnaby 9MATHIEU NASSIF College Jean de Brebeuf Montreal 9COLIN TA Windermere S.S. Vancouver 9HENG TANG Bayview S.S. Richmond Hill 9

TEAMS / EQUIPES

School Location ScoreEcole Endroit Note

Champion / Premiere University of Toronto Schools Toronto 427Second / Deuxieme College Jean de Brebeuf Montreal 424Third / Troisieme Walter Murray C.I. Saskatoon 422Fourth / Quatrieme Glenforest S.S. Mississauga 421Fifth / Cinquieme Colonel By S.S. Gloucester 420

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Champions – 2009 Champions – 2009

2009 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2009

CAYLEY CONTEST / CONCOURS CAYLEY

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

Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauJOSEPH ALACCHI Loyola H.S. Montreal 10KEVIN CHU Moscrop S.S. Burnaby 10JAY DOU Moira S.S. Belleville 10JIMMY FANG St. Robert C.H.S. Thornhill 10AILEEN GAO Sir Winston Churchill S.S. Vancouver 10LINCOLN GUO University of Toronto Schools Toronto 9SHANE HU Marc Garneau C.I. North York 10LEO LAI Point Grey S.S. Vancouver 8TIAN LAN Northern S.S. Toronto 10ELLEN LEE St. Francis Xavier S.S. Mississauga 10XIN NING A.Y. Jackson S.S. North York 10KRISS PETROUNOV Marc Garneau C.I. North York 10SIMON YOUNAN St. Francis Xavier S.S. Mississauga 10STEVEN YU Pinetree S.S. Coquitlam 9JOE ZENG Don Mills C.I. North York 10ERIC ZHAN University of Toronto Schools Toronto 9JASMINE ZHANG Bayview S.S. Richmond Hill 10DONG CHENZHOU E.S. St. Luc Montreal 10ANANDA ZHU John Fraser S.S. Mississauga 10

TEAMS / EQUIPES

School Location ScoreEcole Endroit Note

Champion / Premiere Marc Garneau C.I. North York 444Second / Deuxieme University of Toronto Schools Toronto 442Third / Troisieme Don Mills C.I. North York 436

Northern S.S. Toronto 436Fifth / Cinquieme E.S. St. Luc Montreal 434

Sir Winston Churchill S.S. Vancouver 434

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Page 8: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Champions – 2009 Champions – 2009

2009 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2009

FERMAT CONTEST / CONCOURS FERMAT

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

Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauLIZ CHEN Walter Murray C.I. Saskatoon 11ROBIN CHENG Pinetree S.S. Coquitlam 11JAMES LAM E.S. Antoine Brossard Brossard 11JAMES RICKARDS Colonel By S.S. Gloucester 9MARIYA SARDARLI McKernan J.H.S. Edmonton 9

TEAMS / EQUIPES

School Location ScoreEcole Endroit Note

Champion / Premiere Pinetree S.S. Coquitlam 425Second / Deuxieme University of Toronto Schools Toronto 422Third / Troisieme Don Mills C.I. North York 416Fourth / Quatrieme Earl Haig S.S. North York 414

Richmond Hill H.S. Richmond Hill 414

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Champions – 2009 Champions – 2009

2009 FERMAT CONTEST PROVINCIAL CHAMPIONSCHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2009

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

Province Student School LocationProvince Etudiant Ecole EndroitNL JORDAN ANSTEY New World Island Academy SummerfordNS CASPER MACAULAY Halifax Grammar School HalifaxNB XI ZHANG Saint John H.S. Saint JohnPE MICHAEL LI Colonel Gray Sr. H.S CharlottetownQC JAMES LAM E.S. Antoine Brossard BrossardON North WILL HALL Banting Memorial H.S. AllistonON North MATTHEW HYNDMAN Central Algoma S.S. DesbaratsON East JAMES RICKARDS Colonel By S.S. GloucesterON Metro BRIAN BI Woburn C.I. ScarboroughON Metro DENNIS LU Earl Haig S.S. North YorkON West LOUIS HONG Sir John A. Macdonald S.S. WaterlooON West CHEN SUN A.B. Lucas S.S. LondonON Central STEVEN YANG Rick Hansen S.S. MississaugaON Central DANIEL YOO Thornhill S.S. ThornhillMB GIUSEPPE GRANDE Grant Park H.S. WinnipegSK LIZ CHEN Walter Murray C.I. SaskatoonAB MARIYA SARDARLI McKernan J.H.S. EdmontonBC ROBIN CHENG Pinetree S.S. Coquitlam

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Page 10: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Correct Answers Bonnes Rponses

# Pascal Cayley Fermat1 D A D2 E E E3 D C C4 A D B5 D A A6 A D A7 C E D8 D B C9 B D C

10 C A E11 E C D12 D C C13 A E A14 A D E15 B A B16 E B C17 B C B18 D B B19 C D A20 E B A21 C E D22 E E E23 B A D24 B B D25 D C C

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Page 11: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Pascal Contest Concours Pascal

Number of Contestants / Nombre de concurrents: 27633Average mark / Note moyenne: 87.89

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 E1 D 0.79 16.18 0.38 82.04 0.32 0.26 82.252 E 0.03 0.32 0.33 0.31 98.93 0.04 98.973 D 0.09 0.25 1.50 93.19 4.76 0.17 93.354 A 97.57 0.30 1.15 0.52 0.19 0.24 97.805 D 8.37 4.07 2.85 75.69 1.49 7.49 81.826 A 69.24 5.81 21.06 1.64 1.66 0.55 69.637 C 11.31 1.22 75.89 1.89 5.52 4.14 79.178 D 1.91 3.74 4.55 87.60 1.46 0.71 88.229 B 2.00 39.58 15.08 15.88 17.60 9.83 43.89

10 C 0.63 0.44 95.00 2.35 0.67 0.88 95.8411 E 20.77 9.22 4.43 8.21 53.25 4.09 55.5212 D 1.49 2.46 1.55 89.85 2.78 1.83 91.5313 A 76.43 2.36 3.39 6.69 3.47 7.61 82.7314 A 47.99 10.88 5.27 9.35 6.66 19.82 59.8515 B 19.57 40.77 8.90 6.37 7.74 16.62 48.8916 E 8.02 6.93 10.22 7.24 53.99 13.56 62.4617 B 7.42 42.85 6.54 8.24 6.66 28.26 59.7318 D 4.07 3.97 7.73 75.61 5.72 2.86 77.8319 C 6.10 8.91 39.48 12.04 15.33 18.11 48.2120 E 5.86 7.17 9.41 5.02 32.24 40.27 53.9721 C 11.92 4.91 28.08 17.93 21.49 15.64 33.2822 E 12.12 9.79 11.16 7.16 26.25 33.47 39.4723 B 8.99 9.54 30.07 9.26 4.59 37.52 15.2724 B 6.40 10.57 8.75 8.40 12.05 53.80 22.8725 D 7.07 9.33 9.36 6.89 7.62 59.69 17.10

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Cayley Contest Concours Cayley

Number of Contestants / Nombre de concurrents: 20958Average mark / Note moyenne: 90.00

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 E1 A 98.18 1.15 0.07 0.10 0.25 0.18 98.362 E 0.05 0.34 0.27 0.24 98.99 0.05 99.043 C 0.24 0.18 95.05 1.44 2.80 0.23 95.274 D 2.72 1.18 1.22 93.38 0.12 1.32 94.635 A 88.33 11.00 0.17 0.14 0.07 0.23 88.546 D 5.36 3.33 4.78 79.70 0.67 6.10 84.887 E 3.41 9.04 4.63 1.29 75.75 5.83 80.448 B 4.60 72.59 5.66 10.38 1.45 5.27 76.639 D 0.87 1.59 1.04 93.42 2.00 1.02 94.38

10 A 78.17 4.16 3.12 4.30 4.70 5.50 82.7211 C 1.20 4.70 75.44 12.04 2.50 4.07 78.6412 C 0.52 2.91 93.89 1.70 0.47 0.46 94.3213 E 3.80 1.76 2.33 1.30 88.79 1.96 90.5714 D 5.10 8.75 8.67 51.93 11.56 13.93 60.3315 A 59.11 10.16 6.39 10.88 3.21 10.19 65.8216 B 1.70 38.59 2.61 19.62 20.90 16.53 46.2317 C 9.17 17.24 34.82 7.68 4.94 26.10 47.1218 B 11.83 34.32 9.28 3.81 6.47 34.24 52.1819 D 4.46 10.38 9.68 19.49 7.14 48.79 38.0520 B 14.37 28.63 8.08 6.71 6.17 35.97 44.7221 E 4.56 5.95 9.05 16.72 16.80 46.87 31.6222 E 5.45 4.27 11.52 16.53 20.25 41.92 34.8723 A 14.57 7.39 30.68 5.04 4.07 38.20 23.5724 B 10.01 9.87 8.89 14.11 6.71 50.36 19.8825 C 5.36 6.52 7.78 5.49 3.51 71.28 27.08

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Fermat Contest Concours Fermat

Number of Contestants / Nombre de concurrents: 17792Average mark / Note moyenne: 85.10

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 E1 D 9.98 0.09 0.08 89.70 0.11 0.02 89.722 E 0.68 0.13 0.95 0.09 98.07 0.06 98.123 C 0.65 3.76 92.24 2.07 0.38 0.87 93.054 B 1.07 92.54 1.14 3.01 0.64 1.58 94.025 A 83.37 9.46 2.44 1.55 1.50 1.65 84.766 A 93.29 1.79 2.81 0.58 0.88 0.62 93.887 D 1.33 8.16 6.54 80.96 2.40 0.58 81.438 C 0.75 3.93 80.01 9.70 2.06 3.53 82.949 C 1.41 2.07 52.56 18.04 13.57 12.33 59.95

10 E 11.40 3.94 2.24 2.16 73.50 6.73 78.8111 D 0.61 0.39 15.82 72.54 7.80 2.82 74.6512 C 2.84 18.68 44.68 11.34 7.50 14.94 52.5313 A 26.85 5.48 21.23 16.33 14.13 15.96 31.9514 E 4.15 3.92 7.62 3.86 53.53 26.89 73.2215 B 8.52 66.38 14.33 5.41 1.41 3.92 69.0916 C 6.90 17.85 41.81 7.02 4.46 21.95 53.5617 B 11.69 28.01 11.07 6.51 4.99 37.70 44.9718 B 12.91 37.13 6.24 5.11 4.43 34.16 56.3919 A 66.78 2.80 4.34 3.05 4.47 18.53 81.9720 A 15.61 18.29 9.02 7.46 4.58 45.03 28.3921 D 7.75 7.78 28.12 26.65 6.40 23.26 34.7322 E 4.78 8.76 5.64 11.56 12.75 56.49 29.3023 D 2.51 5.91 11.61 19.12 4.41 56.42 43.8624 D 5.16 7.46 8.20 5.14 4.90 69.12 16.6425 C 4.74 10.49 7.82 4.86 4.15 67.91 24.38

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Student Rankings Classements des eleves

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position150 1 1 1149148147146145 6 4144 8 20 6143142 20 54 13141140 39 90139 41 93 28138 48 95 33137 79 139 62136 93 140 63135134 145 214 81133 219 251 113132 240 257 119131 287 310 186130 321 319 189129 478 395 217128 527 399 229127 662 476 272126 713 481 288125 857 584 362124 958 598 378123 1121 703 441122 1234 718 455121 1437 857 534120 1604 873 583119 1839 1035 694118 2001 1061 737117 2204 1253 822116 2377 1280 873115 2609 1469 989114 2838 1513 1066113 3093 1777 1223112 3347 1818 1271111 3629 2099 1446110 3899 2171 1519109 4183 2482 1678108 4522 2563 1782107 4831 2994 1991106 5175 3104 2138105 5476 3536 2364104 5814 3667 2503103 6153 4120 2741102 6550 4316 2935101 6888 4904 3188100 7311 5121 3388

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position99 7651 5702 364898 8043 5948 387197 8396 6457 411996 8828 6775 440095 9216 7310 468394 9703 7671 496193 10085 8254 526692 10543 8624 559391 10989 9135 590090 11411 9490 623389 11825 9945 655788 12322 10384 694187 12755 10905 727586 13225 11285 760885 13690 11734 793084 14158 12123 826183 14663 12578 854482 15139 12980 892581 15544 13365 925480 15995 13746 955779 16401 14099 988878 16835 14420 1019477 17289 14754 1056876 17690 15058 1090875 18093 15292 1118474 18451 15532 1147873 18804 15798 1176272 19185 16045 1204571 19566 16290 1238570 19946 16501 1264869 20270 16685 1289768 20562 16885 1310667 20838 17060 1331566 21153 17225 1355765 21449 17370 1378464 21713 17498 1399063 21978 17630 1417262 22202 17775 1432761 22463 17882 1447460 22693 17989 1465759 22891 18083 1480758 23075 18170 1492157 23268 18253 1502356 23450 18330 1512555 23632 18415 1524354 23779 18473 1535053 23929 18563 1542752 24059 18615 1550651 24193 18668 1557750 24296 18715 1567149 24407 18762 15739

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Student Rankings Classements des eleves

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position48 24487 18803 1578747 24591 18840 1583446 24668 18875 1587545 24725 18895 1592044 24798 18919 1594943 24847 18935 1598242 24900 18953 1601341 24963 18976 1604440 25014 18992 1607439 25044 19009 1609338 25082 19020 1611037 25117 19028 1612836 25148 19041 1614135 25168 19050 1615834 25183 19057 1617133 25196 19063 1617632 25208 19068 1618431 25224 19077 1619430 25243 19083 1620329 25255 19090 1620628 25263 19093 1621227 25275 19095 1621526 25282 19096 1621725 25292 19097 1622024 25304 19102 1622523 25309 19104 1622822 25312 19106 1623021 25317 19108 1623120 25323 19109 1623619 253281817 25329 1624016 25330 1911015 25332 16241141312 1624311 25334 1624410 25336

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

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Team Rankings Classements des equipes

Scores/ Pascal Cayley FermatNotes Ranks/ Ranks/ Ranks/

Positions Positions Positions440 - 450 1 - 2430 - 439 3 - 10420 - 429 1 - 5 11 - 23 1 - 2410 - 419 6 - 19 24 - 33 3 - 5400 - 409 20 - 47 34 - 50 6 - 20390 - 399 48 - 80 51 - 70 21 - 42380 - 389 81 - 146 71 - 96 43 -64370 - 379 147 - 193 97 - 125 65 - 89360 - 369 194 - 261 126 - 163 90 - 125350 - 359 262 - 351 164 - 225 126 - 163340 - 349 352 - 441 227 - 289 164 - 210330 - 339 442 - 535 290 - 380 211 - 282320 - 329 536 - 615 381 - 489 283 - 333310 - 319 616 - 701 490 - 594 334 - 415300 - 309 702 - 786 595 - 679 416 - 490

Number of three student teams / Nombre d’equipes de trois elevesPascal Contest / Concours Pascal : 1049Cayley Contest / Concours Cayley : 966Fermat Contest / Concours Fermat : 958

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CanadianMathematicsCompetition

An activity of the Centre forEducation in Mathematics and Computing,University of Waterloo, Waterloo, Ontario

Concourscanadien demathematiquesUne activite du Centre d’educationen mathematiques et en informatique,Universite de Waterloo, Waterloo, Ontario

2009Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2009Resultats

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

Page 18: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Score/NoteCity/VilleRank/Rang

School/École

444North York1 Marc Garneau C.I.

442Toronto2 University of Toronto Schools

436North York3 Don Mills C.I.

436Toronto3 Northern S.S.

434Montreal5 E.S. St. Luc

434Vancouver5 Sir Winston Churchill S.S.

432Mississauga7 St. Francis Xavier S.S.

430Coquitlam8 Pinetree S.S.

430Edmonton8 Old Scona Academic H.S.

430North York8 A.Y. Jackson S.S.

428Windsor11 Vincent Massey S.S.

426Vancouver12 University Transition Program

426North York12 Earl Haig S.S.

424Calgary14 Sir Winston Churchill H.S.

424West Vancouver14 West Vancouver S.S.

424Vancouver14 Lord Byng S.S.

424Thornhill14 St. Robert C.H.S.

422Richmond18 Richmond S.S.

422Richmond Hill18 Bayview S.S.

420Scarborough20 Dr. Norman Bethune C.I.

420Vancouver20 St. George's School

420Burnaby20 Burnaby North S.S.

420Richmond20 Hugh McRoberts S.S.

416Calgary24 Western Canada H.S.

414Surrey25 Semiahmoo S.S.

412Greenfield Park26 Centennial Reg. H.S.

412North York26 Crescent School

412Port Moody26 Port Moody Sr. S.S.

412Vancouver26 Point Grey S.S.

412Ottawa26 Lisgar C.I.

411Burnaby31 Moscrop S.S.

411North York31 Victoria Park C.I.

410Markham33 Markham D.H.S.

408Toronto34 North Toronto C.I.

407Vancouver35 Prince Of Wales Mini School

406Vancouver36 St. John's School

406North Vancouver36 Handsworth S.S.

404Montreal38 College Jean de Brebeuf

403Richmond Hill39 Richmond Hill H.S.

402Scarborough40 Agincourt C.I.

402Waterloo40 Waterloo C.I.

402Vancouver40 University Hill S.S.

402Mississauga40 The Woodlands School

402Nepean40 Bell H.S.

402Vancouver40 Crofton House School

400Delta46 Seaquam S.S.

400Mississauga46 Glenforest S.S.

400Hamilton46 Westdale S.S.

400Coquitlam46 Gleneagle S.S.

400North York46 York Mills C.I.

398Burnaby51 Burnaby South S.S.

398London51 A.B. Lucas S.S.

2009Cayley Contest/Concours Cayley

Team List/Palmarès d'équipes

Page 19: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Grade/NiveauLocation/Endroit

Name/Nom School/École

Group I/Groupe I Scores/Notes 150 - 145ALACCHI JOSEPH 10MontrealLoyola H.S.

CHU KEVIN 10BurnabyMoscrop S.S.

DOU JAY 10BellevilleMoira S.S.

FANG JIMMY 10ThornhillSt. Robert C.H.S.

GAO AILEEN 10VancouverSir Winston Churchill S.S.

GUO LINCOLN 9TorontoUniversity of Toronto Schools

HU SHANE 10North YorkMarc Garneau C.I.

LAI LEO 8VancouverPoint Grey S.S.

LAN TIAN 10TorontoNorthern S.S.

LEE ELLEN 10MississaugaSt. Francis Xavier S.S.

NING XIN 10North YorkA.Y. Jackson S.S.

PETROUNOV KRISS 10North YorkMarc Garneau C.I.

YOUNAN SIMON 10MississaugaSt. Francis Xavier S.S.

YU STEVEN 9CoquitlamPinetree S.S.

ZENG JOE 10North YorkDon Mills C.I.

ZHAN ERIC 9TorontoUniversity of Toronto Schools

ZHANG JASMINE 10Richmond HillBayview S.S.

ZHOU DONG CHEN 10MontrealE.S. St. Luc

ZHU ANANDA 10MississaugaJohn Fraser S.S.

Group II/Groupe II Scores/Notes 144 - 143VancouverUniversity Transition ProgramCHEN PENGHONG 10

ScarboroughDr. Norman Bethune C.I.CHENG DAVID 10

EdmontonOld Scona Academic H.S.CHOI JUNHO 10

LondonA.B. Lucas S.S.CHONG DANIEL 10

VancouverSt. George's SchoolDEE CHRIS 10

TorontoBranksome HallDING LIQING 10

NepeanBell H.S.HUANG FAN 10

North YorkA.Y. Jackson S.S.HWANG GRACE 10

WaterlooSir John A. Macdonald S.S.KOO ARAM 10

SurreyNorth Surrey S.S.LEE MIN HYUK 10

SurreySemiahmoo S.S.LEE YOSEP 10

RichmondRichmond S.S.LI PETER 10

Richmond HillBayview S.S.LI SIMON 10

MiramichiMiramichi Valley H.S.MACMILLAN JOHN 10

CoquitlamPinetree S.S.MAK LAUREN 10

Thunder BaySir Winston Churchill C.V.I.NATARAJAN KARTHIK 10

TorontoNorthern S.S.OLDEN COOLIGAN BEN 10

EdmontonOld Scona Academic H.S.QI ANDREW 10

Greenfield ParkCentennial Reg. H.S.RAJ ANITA 10

VancouverSt. John's SchoolRYU ALICE 10

North YorkMarc Garneau C.I.SIMIC ALEKSANDRA 10

CalgarySir Winston Churchill H.S.SONG NAM 10

VancouverLord Byng S.S.TARAPHAN NUTTAWUT 10

BurnabyBurnaby North S.S.WANG ALLAN 10

NanaimoDover Bay S.S.WANG JASON 10

St CatharinesSt. Catharines C.I. & V.S.WEI MENGDI 10

BurnabyBurnaby South S.S.WU AMY 10

North YorkMarc Garneau C.I.YANG KARREN 10

WindsorVincent Massey S.S.YIN FAN 10

RichmondHugh McRoberts S.S.YOSHINO REIKA 10

West VancouverWest Vancouver S.S.YUAN ADRIAN 10

VancouverUniversity Transition ProgramZHANG ALLEN 10

2009Cayley Contest/Concours Cayley

Student Rankings/Palmarès d'étudiants

Page 20: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Group II/Groupe II Scores/Notes 144 - 143North YorkDon Mills C.I.ZHANG CYRIL 10

CalgarySir Winston Churchill H.S.ZHANG JUSTINE 10

Group III/Groupe III Scores/Notes 142 - 14110Sir Winston Churchill S.S.BAO KELLY Vancouver

10E.S. St. LucCAI XUESI Montreal

10Prince Of Wales Mini SchoolCHAU BRIAN Vancouver

10L.P. Miller Comp. SchoolCHOI SUNGBIN Nipawin

9St. Mary's C.H.S.DILLON JACK Brockville

10Academy for Gifted Children-PACEEISENSTAT SAM Richmond Hill

10Prince Of Wales Mini SchoolGU FAN DI Vancouver

9University of Toronto SchoolsGUAN MELODY Y Toronto

9University of Toronto SchoolsGUPTA ADARSH Toronto

10Henry Wise Wood Sr. H.SHE TIM Calgary

10Vincent Massey S.S.JIANG HEINRICH Windsor

10Earl Haig S.S.KHAN SUFYAN North York

9University of Toronto SchoolsKIM GRACE Toronto

9University of Toronto SchoolsLI FRANK Toronto

10E.S. St. LucLI SHIDA Montreal

10Lord Byng S.S.LI YANZHU Vancouver

10Fraser Heights S.S.LIU CHIEH MING Surrey

10Harry Ainlay H.S.MA PHILIP Edmonton

10Earl Haig S.S.NGANA YANNICK North York

10Gleneagle S.S.PARK GAYEEJULIE Coquitlam

10Richmond S.S.PARK TOM Richmond

10Handsworth S.S.RIDGE FRASER North Vancouver

10Don Mills C.I.RONG RICKY North York

9West Vancouver S.S.SUN SUSAN West Vancouver

10Innisdale S.S.TANG TOMY Barrie

10Hugh McRoberts S.S.WANG DONALD Richmond

10St. Michael's Univ. SchoolWANG YAOU Victoria

10Northern S.S.YANG AARON Toronto

10Albert Campbell C.I.YEP JONATHAN Scarborough

10Earl Haig S.S.YOO YOUNGHO North York

10E.S. St. LucYU OULIN Montreal

10Lord Tweedsmuir Sr. S.S.YUAN CHENG HAO Surrey

10Sir Winston Churchill S.S.YUAN DIRK Vancouver

10Port Moody Sr. S.S.ZHANG WILLIAM Port Moody

10Vincent Massey S.S.ZHENG TIGER ZIYU Windsor

10Old Scona Academic H.S.ZHOU KAIVEN Edmonton

Group IV/Groupe IV Scores/Notes 140 - 137WindsorVincent Massey S.S.CHAE PAUL 10

EdmontonOld Scona Academic H.S.CHO PETER 10

FrederictonFredericton H.S.CHOI DAYEOL 10

VictoriaMount Douglas S.S.CHUNG DAHAN 10

North YorkBrebeuf College SchoolCORSO KEVIN 10

ScarboroughDr. Norman Bethune C.I.FU IVAN 10

2009Cayley Contest/Concours Cayley

Student Rankings/Palmarès d'étudiants

Page 21: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Group IV/Groupe IV Scores/Notes 140 - 137WaterlooWaterloo C.I.GRAHAM JACKIE 10

North YorkCrescent SchoolGU LORIN 10

North YorkCrescent SchoolHAN DAVID 10

West VancouverWest Vancouver S.S.HU ALICE 10

CalgaryWestern Canada H.S.HUANG JEFFREY 10

BurnabyBurnaby North S.S.HUANG STEVEN 8

Shawnigan LakeShawnigan Lake SchoolHUNG IVAN 10

CoquitlamDr. Charles Best S.S.JEFFREY SON 10

North YorkVictoria Park C.I.JI ISABEL 10

BurnabyBurnaby Mountain S.S.KHAN TALHA 10

VancouverCrofton House SchoolKIM ANNIE 10

AbbotsfordYale S.S.KIM CHUNGJUN 10

ChilliwackHighroad AcademyKIM JIYONG 10

VancouverSt. George's SchoolKIM PAUL 10

VancouverSt. George's SchoolLAM HADRIAN 10

VancouverKillarney S.S.LI AMY 10

MarkhamMarkham D.H.S.LI CHARLES 10

RothesayRothesay Netherwood SchoolLIM JUNHYEON 10

OttawaLisgar C.I.LIU INA 10

AuroraSt. Andrew's CollegePARK DANIEL 10

ThornhillSt. Robert C.H.S.PARK HYESEON 10

FrederictonFredericton H.S.PARK SUNGWHAN 10

VancouverSt. John's SchoolQI TIFFANY 10

EdmontonOld Scona Academic H.S.QIN CATHY 10

ScarboroughAgincourt C.I.QIU GINNY 10

CalgaryWestern Canada H.S.SHEN MENGSHU 10

VancouverLord Byng S.S.SHU CHARLES 9

CalgaryWestern Canada H.S.SPINK HUNTER 10

WinnipegFort Richmond C.I.SRINIVASAN SURAJ 10

MississaugaThe Woodlands SchoolTHAM JOEL 10

VancouverSir Winston Churchill S.S.WANG CATHERINE 10

ScarboroughDr. Norman Bethune C.I.WANG DAVID 10

MontrealE.S. St. LucWANG WEIKE 10

OakvilleIroquois Ridge H.S.WILLIAM CHOI 10

SurreySemiahmoo S.S.WOO DANIEL 10

OttawaLisgar C.I.WU DEAN 10

North YorkDon Mills C.I.YANG FRANKLIN 10

VancouverUniversity Transition ProgramYANG YIN SHU 10

MontrealCollege Jean de BrebeufYIN XI YUAN 10

North VancouverHandsworth S.S.YOO MINYOUNG 10

QuebecE.S. de RochebelleZHANG XIAOWEI 10

HamiltonWestdale S.S.ZHAO JINGRUI 10

North YorkWilliam Lyon Mackenzie C.I.ZHAO YE 10

BurnabyBurnaby North S.S.ZHU KATIE 10

Group V/Groupe V Scores/Notes 136 - 134MontrealE.S. St. LucAN ZI JIE 10

TorontoUniversity of Toronto SchoolsBAI GEORGE 9

CalgarySir Winston Churchill H.S.BEZAIRE DALLAS 10

OttawaLisgar C.I.CAMPBELL RUTGER 10

MarkhamMarkham D.H.S.CHAN DESMOND 10

MarkhamMarkham D.H.S.CHANG BORIS 10

CalgarySir Winston Churchill H.S.CHANG PHOEBE 10

WaterlooWaterloo C.I.CHAU PETER 10

VancouverUniversity Hill S.S.CHE N ZHOUBO 10

2009Cayley Contest/Concours Cayley

Student Rankings/Palmarès d'étudiants

Page 22: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Group V/Groupe V Scores/Notes 136 - 134RichmondHugh McRoberts S.S.CHEN CINDY 10

TorontoUniversity of Toronto SchoolsCHEN EMILY 9

MontrealCollege Jean EudesCHEN XINYI 10

BarrieInnisdale S.S.CHENG JINGWEN 9

Port MoodyPort Moody Sr. S.S.CHO HARRY 10

TorontoNorth Toronto C.I.CHOI KANGHYUN 10

TorontoUniversity of Toronto SchoolsCHOW VINCENT 9

Prince GeorgeD.P. Todd S.S.CLUFF MATTHEW 10

LondonLondon Central S.S.CONG AMALIA 10

WindsorVincent Massey S.S.CURELEA ANDREI 10

CalgarySpringbank Comm. H.S.DIEDERICHS STEPHEN 10

Richmond HillRichmond Hill H.S.DING FREDERICK 10

BurnabyBurnaby North S.S.DING ZHENG 9

NewmarketSacred Heart C.H.S.DOWLING PATRICK 10

Port MoodyPort Moody Sr. S.S.DU YUHAO 10

CoquitlamGleneagle S.S.FANG BENNY 10

MapleTanenbaum CHATFREEMAN MARKY 10

TorontoUniversity of Toronto SchoolsFUNG ALEXANDER 9

MontrealE.S. St. LucGARCIA RUIZ LUIS 10

SurreyPacific AcademyHA M SALLY 10

West VancouverMulgrave SchoolHAN FRANCIS 10

OshawaO'Neill C.V.I.HOFKIRCHNER ALEX 10

WindsorVincent Massey S.S.HU DANIEL 10

North YorkCrescent SchoolHU KEVIN 10

WhitbySinclair S.S.HU PEI 10

North YorkA.Y. Jackson S.S.HU THOMAS 10

LasalleCollege St. LouisHUA GORDON 10

TorontoUniversity of Toronto SchoolsHUTIRA SALVADOR 9

ThornhillSt. Robert C.H.S.JACOB JOHN VARUN 10

North YorkMarc Garneau C.I.JADA WANG 10

TorontoUniversity of Toronto SchoolsJIA KEVIN 9

VancouverUniversity Hill S.S.KIM HYUNGKI 10

WindsorKing's-Edgehill SchoolKIM YANG SEOK 10

North YorkMarc Garneau C.I.L IN ROBERT 10

VancouverSt. George's SchoolLEE ANDY 10

VancouverVancouver Tech. S.S.LEE ELLEN 10

YorkSt. Michael's College SchoolLEE FELIX 10

North YorkEarl Haig S.S.LEE HORIM 10

EtobicokeSilverthorn C.I.LEE JEONGSU 10

North YorkCrescent SchoolLEE JOSHUA 9

TorontoUniversity of Toronto SchoolsLEE RYAN 9

MarkhamMarkham D.H.S.LEUNG JACKY 10

North YorkMarc Garneau C.I.LI ROSE 10

TorontoNorth Toronto C.I.LI YUCHEN 10

CalgarySir Winston Churchill H.S.LIN ISAAC 10

ScarboroughDr. Norman Bethune C.I.LIN TONY 10

MapleTanenbaum CHATLIPTON MICHAEL 10

RichmondRichmond S.S.LU KE QIN 10

BrandonVincent Massey H.S.LU LIWEN 9

BurnabyBurnaby South S.S.LU NELSON 10

VancouverSt. George's SchoolLU YAO 10

North YorkYork Mills C.I.LUO CHARLES 10

SurreyJohnston Heights Jr. S.S.MA MARK 10

WinnipegKelvin H.S.MACALINTAL YZAH 10

ParisParis D.H.S.MACLACHLAN DUNCAN 10

MississaugaGlenforest S.S.MAHAJAN NIKHIL 10

WindsorVincent Massey S.S.MAI ZHIHAO 10

2009Cayley Contest/Concours Cayley

Student Rankings/Palmarès d'étudiants

Page 23: 2009 Pascal Contest Concours Pascal - CEMCJASMINE ZHANG Bayview S.S. Richmond Hill 10 DONG CHENZHOU E.S. St. Luc Montreal 10 ANANDA ZHU John Fraser S.S. Mississauga 10 TEAMS / EQUIPES´

Group V/Groupe V Scores/Notes 136 - 134YorkSt. Michael's College SchoolNESTICO ANDREW 10

Richmond HillRichmond Green S.S.OH HENRY 10

TorontoUniversity of Toronto SchoolsPAN SALLY 9

VancouverMagee S.S.PARK PATRICK 10

Port MoodyHeritage Woods SecondaryRYU WON 10

VancouverBritannia S.S.SHE JERRY 10

CoquitlamPinetree S.S.SHEN CHARLIE 10

North YorkYork Mills C.I.SHI SAM 10

North VancouverBodwell H.S.SHIN JAME S 10

BurlingtonCorpus Christi C.S.S.SHIN SEUNGCHUL 10

MontrealCollege Jean de BrebeufSTANCIU JEAN 10

OttawaLisgar C.I.STEPHENSON LAURA 10

MarkhamMarkham D.H.S.TANG MICHELLE 10

MarkhamMarkham D.H.S.THEVASUNDARAM KERSHANTH 10

Niagara FallsStamford C.& V.I.TRUONG RAYMOND 10

North YorkVictoria Park C.I.VIGNESWARAN SUSEELAN 10

DeltaSeaquam S.S.WANG JENNY 10

HalifaxHalifax Grammar SchoolWEAVER IAN 10

West VancouverWest Vancouver S.S.WEI LONA 10

VancouverLord Byng S.S.WEI YUMOU 10

VancouverSt. George's SchoolWU TERRY 10

North YorkEarl Haig S.S.XI WAYNE 10

VancouverSir Winston Churchill S.S.XI WILLIAM 8

VancouverSir Winston Churchill S.S.XIAO PHILIP 10

BurnabyBurnaby North S.S.XIE OLIVER 10

TorontoNorth Toronto C.I.YANG DAITAN 10

VancouverCrofton House SchoolYANG KATHRYN 10

VancouverSir Winston Churchill S.S.YANG LINDA 10

AjaxPickering H.S.YELEKAR ASHISH 10

LangleyD.W. Poppy SecondaryYOON SOYON 10

Richmond HillRichmond Hill H.S.YOU ALICE 10

EdmontonOld Scona Academic H.S.YU JENNIFER 10

Port MoodyHeritage Woods SecondaryZENG RAYMOND 10

OttawaLisgar C.I.ZENG YUCHAO 10

North YorkVictoria Park C.I.ZHANG DANNY 10

MarkhamPierre Elliott Trudeau H.S.ZHANG JACK 9

North YorkA.Y. Jackson S.S.ZHANG JI 10

DeltaSeaquam S.S.ZHANG JOHNNY 10

KitchenerCameron Heights C.I.ZHANG LILY 10

ScarboroughAgincourt C.I.ZHANG YIPEI 10

MississaugaLorne Park S.S.ZHAO TIANLE 10

MississaugaGlenforest S.S.ZHU MARCO 10

Greenfield ParkCentennial Reg. H.S.ZHU QIHUI 10

CalgarySir Winston Churchill H.S.ZHUO WILL 10

VancouverSir Winston Churchill S.S.ZOU JESSICA 9

2009Cayley Contest/Concours Cayley

Student Rankings/Palmarès d'étudiants