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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

2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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Page 1: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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 Results Pascal Contest Cayley Contest Fermat Contest 2009

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 Results Pascal Contest Cayley Contest Fermat Contest 2009

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 Results Pascal Contest Cayley Contest Fermat Contest 2009

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 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 6: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 7: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 9: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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 Results Pascal Contest Cayley Contest Fermat Contest 2009

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 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 12: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 13: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 14: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 15: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 16: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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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Page 17: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

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)

Fermat Contest Honour RollsPalmares pour le concours Fermat

Page 18: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

ScoreCity/VilleRank/Rang

School/École

425Coquitlam1 Pinetree S.S.

422Toronto2 University of Toronto Schools

416North York3 Don Mills C.I.

414North York4 Earl Haig S.S.

414Richmond Hill4 Richmond Hill H.S.

408Saskatoon6 Walter Murray C.I.

407Calgary7 Sir Winston Churchill H.S.

405Vancouver8 Lord Byng S.S.

404Burnaby9 Burnaby North S.S.

404Port Moody9 Port Moody Sr. S.S.

404Calgary9 Henry Wise Wood Sr. H.S

404Vancouver9 St. George's School

403Burnaby13 Moscrop S.S.

402Vancouver14 Point Grey S.S.

401Calgary15 Western Canada H.S.

400Montreal-Ouest16 Royal West Academy

400North York16 Victoria Park C.I.

400North York16 A.Y. Jackson S.S.

400Vancouver16 Sir Winston Churchill S.S.

400Windsor16 Vincent Massey S.S.

398Richmond21 Richmond S.S.

398Waterloo21 Sir John A. Macdonald S.S.

398Mississauga21 The Woodlands School

398Montreal21 E.S. St. Luc

398Waterloo21 Waterloo C.I.

398Gloucester21 Colonel By S.S.

397Vancouver27 University Hill S.S.

396Vancouver28 University Transition Program

396Scarborough28 Dr. Norman Bethune C.I.

396Scarborough28 Sir John A. Macdonald C.I.

395Delta31 Seaquam S.S.

395Ottawa31 Lisgar C.I.

394Victoria33 Mount Douglas S.S.

394Nepean33 Bell H.S.

394Rothesay33 Rothesay Netherwood School

394Burnaby33 Byrne Creek S.S.

394Vancouver33 Prince of Wales S.S.

393North York38 Marc Garneau C.I.

392Surrey39 Semiahmoo S.S.

392Richmond Hill39 Bayview S.S.

391Scarborough41 Woburn C.I.

391Edmonton41 Old Scona Academic H.S.

387Edmonton43 Harry Ainlay H.S.

386Oakville44 Iroquois Ridge H.S.

386Toronto44 Northern S.S.

386Thornhill44 Thornhill S.S.

385Mississauga47 John Fraser S.S.

385Victoria47 St. Michael's Univ. School

385Calgary47 Queen Elizabeth H.S.

384Vancouver50 Killarney S.S.

384Hamilton50 Westdale S.S.

384Scarborough50 Agincourt C.I.

384Markham50 Markham D.H.S.

2009Fermat Contest/Concours Fermat

Team List/Palmarès d'équipes

Page 19: 2009 Results Pascal Contest Cayley Contest Fermat Contest 2009

Grade/NiveauLocation/Endroit

Name/Nom School/École

Group I/Groupe I Scores/Notes 150 - 145CHEN LIZ 11SaskatoonWalter Murray C.I.

CHENG ROBIN 11CoquitlamPinetree S.S.

LAM JAMES 11BrossardE.S. Antoine Brossard

RICKARDS JAMES 9GloucesterColonel By S.S.

SARDARLI MARIYA 9EdmontonMcKernan J.H.S.

Group II/Groupe II Scores/Notes 144 - 140DeltaSeaquam S.S.ANDERSON JAMES 11

ScarboroughWoburn C.I.BI BRIAN 11

WindsorVincent Massey S.S.DUYCK JAMES 11

Richmond HillRichmond Hill H.S.GUO FANG 11

ScarboroughDr. Norman Bethune C.I.GUO LEO 11

TorontoUniversity of Toronto Schools

GUO ROBERT 10

WaterlooSir John A. Macdonald S.S.

HONG LOUIS 11

EdmontonOld Scona Academic H.S.HU TIFFANY 11

CoquitlamPinetree S.S.JANG STEPHANIE 11

HamiltonWestdale S.S.LEE DAVID 11

North YorkDon Mills C.I.LIU ZHIQIANG 11

North YorkEarl Haig S.S.LU DENNIS 11

Port MoodyPort Moody Sr. S.S.MAJDZADEH ALI 11

Montreal-OuestRoyal West AcademyRALPH ROBERT 11

MississaugaJohn Fraser S.S.SACAWA PAUL 11

TorontoUniversity of Toronto Schools

SCHNEIDER JONATHAN 11

North YorkVictoria Park C.I.SHANMUGARAJAH ABISHEK 11

LondonA.B. Lucas S.S.SUN CHEN 11

North YorkHavergal CollegeTANG NANCY 11

London YANG EDWARD 11

MississaugaRick Hansen S.S.YANG STEVEN 11

ThornhillThornhill S.S.YOO DANIEL 11

Group III/Groupe III Scores/Notes 139 - 13811University of Toronto

SchoolsALMAN JOSHUA Toronto

2009Fermat Contest/Concours Fermat

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Group III/Groupe III Scores/Notes 139 - 13810University of Toronto

SchoolsBEDFORD BRANDON Toronto

11Moscrop S.S.CHAN GARY Burnaby

11Hugh McRoberts S.S.CHEN IAN Richmond

11University Transition Program

CHEN KARLMING Vancouver

11Holy Names H.S.DESCHAMPS ANTHONY Windsor

11Preston H.S.GAO GOLDEN Cambridge

11E.S. Sophie-BaratGIRARD GABRIEL Montreal

11Henry Wise Wood Sr. H.SGUO JOHN Calgary

11Earl Haig S.S.HAN HENRY North York

11Harry Ainlay H.S.HUANG YISHEN Edmonton

11St. George's SchoolHUNG VICTOR Vancouver

11A.R. MacNeill S.S.LEUNG DEREK Richmond

11Albert Campbell C.I.LI EMILY Scarborough

11Sir John A. Macdonald C.I.LI ZEYUAN Scarborough

11The Woodlands SchoolLU JOHN Mississauga

11Etobicoke C.I.LU O STEVEN Etobicoke

11Sir Winston Churchill H.S.MO DI Calgary

11Guildford Park S.S.MOON JUYOUNG Surrey

11Pacific AcademyMOON SUNGJIN Surrey

11Moscrop S.S.OH JUN Burnaby

11University Hill S.S.PAN YETING Vancouver

11Centennial CollegiatePENG RYAN Saskatoon

11Seminaire de SherbrookeRICHAN ETIENNE Sherbrooke

11Rothesay Netherwood SchoolSHIM EUNJI Rothesay

8Waterloo C.I.SONG ALEX Waterloo

11Don Mills C.I.TAN ERIC North York

11Richmond S.S.UY ALYANNA Richmond

11Queen Elizabeth H.S.VANDENBRINK CONRAD Calgary

11Semiahmoo S.S.WANG THOMAS Surrey

11Killarney S.S.XIONG ZHENG Vancouver

11Lord Byng S.S.XU XINLEI Vancouver

11Saint John H.S.ZHANG XI Saint John

11Richmond Hill H.S.ZHAO JASON Richmond Hill

2009Fermat Contest/Concours Fermat

Student Rankings/Palmarès d'étudiants

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Group IV/Groupe IV Scores/Notes 137 - 134Richmond HillRichmond Hill H.S.ANDRE TYSON 11

SummerfordNew World Island AcademyANSTEY JORDAN 11

VancouverPoint Grey S.S.CHEN HARRY 11

CalgarySir Winston Churchill H.S.

CHEN SAM 11

BurnabyBurnaby North S.S.CHOU DAVID 9

NepeanBell H.S.CHU YUN 11

Owen SoundWest Hill S.S.COBURN BRETT 11

MontrealLower Canada CollegeDI GIORGIO NICHOLAS 11

VictoriaSt. Michael's Univ. School

EWONUS BRANDON 11

GuelphBishop Macdonell C.H.S.FORTNEY ALEXANDER 11

WinnipegGrant Park H.S.GRANDE GIUSEPPE 11

Richmond HillBayview S.S.HAN CHANGHO 11

VancouverVancouver College H.S.HE ALLEN 11

BurnabyBurnaby North S.S.HONG WELKIN 11

North YorkMarc Garneau C.I.HUI NANCY 11

RichmondJ.N. Burnett S.S.JI EDDIE 11

TorontoUniversity of Toronto Schools

KIM KEVIN 10

North YorkCrescent SchoolKIM TIM 11

VancouverSt. George's SchoolKUO KEVIN 11

FrederictonFredericton H.S.LEE CONNIE 11

CalgaryWestern Canada H.S.LI BILL 11

SurreyJohnston Heights Jr. S.S.LI CHEN ZHI 11

BurnabyBurnaby North S.S.LI EDWINA 11

TorontoUniversity of Toronto Schools

LI FELIX 11

North YorkVictoria Park C.I.LIAN JINGTIAN 11

VancouverPoint Grey S.S.LIN JOHN 11

VancouverDavid Thompson S.S.LIN WILLIAM 11

CalgaryHenry Wise Wood Sr. H.SLLOYD ELLEN 11

BurnabyByrne Creek S.S.PAN JING WEI 11

AuroraSt. Andrew's CollegePARK NICK 11

SurreySemiahmoo S.S.SEOL DOE BIN 11

TorontoUniversity of Toronto Schools

SHI MELISSA 11

North YorkA.Y. Jackson S.S.SUN ROY 11

2009Fermat Contest/Concours Fermat

Student Rankings/Palmarès d'étudiants

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Group IV/Groupe IV Scores/Notes 137 - 134MontrealE.S. St. LucSUN YUE RU 11

OttawaLisgar C.I.TANG CORNELIA 11

MississaugaLorne Park S.S.TANG XIAOYUN 10

Pointe-ClaireSt. Thomas H.S.TIHANYI STEFAN 11

VancouverSir Winston Churchill S.S.

WANG RICHARD 11

VancouverLord Byng S.S.WANG SHEN 11

North YorkA.Y. Jackson S.S.WANG ZEXUAN 10

VancouverSir Winston Churchill S.S.

WEI DRAGON 11

TorontoUniversity of Toronto Schools

WHITTAKER LEE KRISJANIS 10

TorontoUniversity of Toronto Schools

WU ADRIAN 10

North YorkDon Mills C.I.XU PETER 11

WaterlooBluevale C.I.YACH JONATHAN 11

VancouverPrince of Wales S.S.YANG GWENDOLYN 10

WestmountMiss Edgar and Miss Cramp's School

YOO HEE JUNG 11

TorontoUniversity of Toronto Schools

ZHAO CONNIE 11

CoquitlamPinetree S.S.ZHOU JONATHAN 11

SaskatoonWalter Murray C.I.ZHOU XINGYU 11

VancouverUniversity Hill S.S.ZHU YUQI 11

Group V/Groupe V Scores/Notes 133 - 130CalgarySir Winston Churchill

H.S.BABICH YAROSLAV 10

North YorkNorthview Heights S.S.BAIK DAVID 11

CalgaryDr. E.P. Scarlett H.S.BENNER SAM 11

North YorkDon Mills C.I.CAI ARTHUR 11

CalgaryWestern Canada H.S.CHANG JACLYN 11

Greenfield ParkCentennial Reg. H.S.CHEN DA QI 11

ScarboroughSir John A. Macdonald C.I.

CHEN RICHARD 11

VancouverPrince of Wales S.S.CHEN RUIQI 11

WinnipegBalmoral Hall SchoolCHOU YING 11

EtobicokeMartingrove C.I.CUI YUCHEN 11

WaterlooWaterloo C.I.DENG DANIEL 11

Pointe-ClaireSt. Thomas H.S.DESTOUNIS MICHAEL 11

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Group V/Groupe V Scores/Notes 133 - 130RichmondR.C. Palmer S.S.DONG STEVEN 11

OttawaLisgar C.I.DRAGAN VICTOR 11

OshawaO'Neill C.V.I.DRAKE JONATHAN 11

TorontoUniversity of Toronto Schools

FONG AARON 10

North YorkChaminade CollegeGAMBIN JORDAN 11

YorkGeorge Harvey C.I.GAO AMBER 11

North YorkA.Y. Jackson S.S.GAO IVY 11

TorontoUrsula Franklin AcademyGORDIYENKO TARAS 11

VictoriaMount Douglas S.S.GOYAL DIPANKAR 11

AllistonBanting Memorial H.S.HALL WILL 10

North YorkEarl Haig S.S.HAN NELLIE 11

VancouverPoint Grey S.S.HAN YOLANDA 11

ScarboroughAgincourt C.I.HE TONY 11

Port MoodyPort Moody Sr. S.S.HOU LIU JASON 11

OakvilleIroquois Ridge H.S.HSI BARRY 11

TorontoUniversity of Toronto Schools

HSIEH ADAM 11

North YorkMarc Garneau C.I.HU SANDY 11

RothesayRothesay Netherwood School

HUH ANGELA 11

TorontoUniversity of Toronto Schools

HUNG JACQUELINE 10

DesbaratsCentral Algoma S.S.HYNDMAN MATTHEW 11

VancouverSt. George's SchoolJACOBSEN ISAAC 11

VancouverGladstone Sec Montessori Prog

JEW ALEXANDER 11

LakefieldLakefield College SchoolJONES KATIE 11

EtobicokeSilverthorn C.I.JUNG ANDREW 11

DeltaTsawwassen Independent Sch. Society

KANG KAILIN 11

MontrealE.S. St. LucKIA EHSAN 11

West VancouverWest Vancouver S.S.KIM IRENE 11

TorontoNorth Toronto C.I.KLEINMAN DAVID 11

VictoriaPacific Christian SchoolKO SEONGHYEON 11

MississaugaGlenforest S.S.KONG DAVID 11

Port MoodyPort Moody Sr. S.S.KOSTECKI MARCIN 11

2009Fermat Contest/Concours Fermat

Student Rankings/Palmarès d'étudiants

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Group V/Groupe V Scores/Notes 133 - 130MississaugaThe Woodlands SchoolKUO RYAN 11

SurreyNorth Surrey S.S.KWON RICHARD 11

Richmond HillBayview S.S.LEE JIMIN 11

TorontoUniversity of Toronto Schools

LEE KEVIN 11

ThornhillThornlea S.S.LEE ROBERT 11

ThornhillSt. Robert C.H.S.LEE TAEWOOK 11

BurnabyBurnaby North S.S.LI CANDY 11

ScarboroughSA TEC @ W.A. Porter C.I.LI KEVIN 11

MississaugaThe Woodlands SchoolLI MATTHEW 11

VancouverSir Winston Churchill S.S.

LI NIGEL 11

VancouverLord Byng S.S.LI RUOTAO 11

AncasterAncaster H.S.LI YINGXIANG 11

MarkhamBur Oak S.S.LI ZONGBIN 11

WinnipegSt. John's-Ravenscourt School

LIAO ALBERT 11

VancouverUniversity Transition Program

LIM ANGUS 11

VancouverSir Winston Churchill S.S.

LIN JASON 11

CalgarySir Winston Churchill H.S.

LOPES FERNANDO 11

DeltaSeaquam S.S.LOU JIMMY 11

VancouverLord Byng S.S.LUO PERRY 11

NepeanMerivale H.S.MANSON ROSS 11

VancouverCrofton House SchoolMAO ALICE 11

VancouverKitsilano S.S. (English)MCINTOSH JACKSON 11

VancouverPoint Grey S.S.MENG VICTOR 11

VictoriaMount Douglas S.S.MOCK REMY 11

Montreal-OuestRoyal West AcademyMOORE LIAM 11

ThornhillWestmount C.I.NA JAMES 11

WinnipegVincent Massey CollegiateNELSON SPENCER 11

North YorkChaminade CollegeONG PATRICK 11

BurnabyBurnaby North S.S.PAN TOM 11

BurnabyByrne Creek S.S.PARK YERIM 11

TorontoJarvis C.I.QIAOZHI ZHAO 11

2009Fermat Contest/Concours Fermat

Student Rankings/Palmarès d'étudiants

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Group V/Groupe V Scores/Notes 133 - 130LasalleCollege St. LouisROBERGE LOIC 11

CalgaryHenry Wise Wood Sr. H.SROHS MICHAEL 11

TorontoUniversity of Toronto Schools

ROSU CRISTINA 11

MontrealCollege Jean EudesROY LORANGER GUILLAUME 11

Port HopeTrinity College SchoolSHU CALVIN 11

SurreyElgin Park S.S.SONG WEN YI 10

CalgarySt. Francis H.S.STOSKY STEVEN 11

WinnipegVincent Massey CollegiateTHACHER ERIC 11

TorontoNorthern S.S.TIAN DANI 11

BeaconsfieldBeaconsfield H.S.TORRENS MITCHELL 11

MontrealE.S. St. LucTRINH PASCAL 11

TorontoUniversity of Toronto Schools

TUNG SHELDON 10

VancouverSir Winston Churchill S.S.

UNG MANUEL 11

TorontoUniversity of Toronto Schools

WANG CLINTON 10

WindsorRiverside S.S.WANG JOANNA 11

WindsorVincent Massey S.S.WANG MENGYINJOY 11

CalgarySir Winston Churchill H.S.

WANG ROBBIE 11

SurreyJohnston Heights Jr. S.S.WANG YUTONG 10

ScarboroughDr. Norman Bethune C.I.WEI FRANK 11

EdmontonMcNally Comp. H.S.WONG ANDY 11

RichmondRichmond S.S.WONG ANSON 11

CalgaryWestern Canada H.S.XU LUCIA 11

OttawaLisgar C.I.XUE ANDREW 11

LasalleCollege St. LouisYANG KE 11

North YorkDon Mills C.I.YU HARRY 11

VictoriaMount Douglas S.S.YU JASON 11

MarkhamMarkham D.H.S.YUAN SAMUEL 11

NepeanBell H.S.ZHANG WILSON 11

CoquitlamPinetree S.S.ZHU YU 11

TorontoUniversity of Toronto Schools

ZUNG JONATHAN 11

2009Fermat Contest/Concours Fermat

Student Rankings/Palmarès d'étudiants