2010 Pascal Contest Concours Pascal - cemc.uwaterloo.caSans leurs probl emes perspicaces et...

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

2010Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2010Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

c©2010 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 AndersonLloyd AucklandTerry BaeJanet BakerErsal CahitKaren ColeJennifer CoutureSerge D’AlessioFrank DeMaioFiona DunbarMike EdenBarry FergusonJudy FoxSteve FurinoSandy GrahamAngie HildebrandJudith KoellerJoanne KursikowskiAngie MurphyDean MurrayJen NissenJ.P. PrettiLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga

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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 West H.S., Halifax, NSAaron Warner, St. Mildred’s-Lightbourn School, Oakville, ON

Cayley Contest / Concours Cayley

Jeff Anderson (Chair / president), Forest Heights C.I., Kitchener, ONTom Barker, Stratford, ONBarry Ferguson, University of Waterloo, Waterloo, ONSteve Furino, University of Waterloo, Waterloo, ONShawn Godin, Cairine Wilson S.S., Orleans, ONChristopher Ing, Vincent Massey S.S., Windsor, ONJen Nissen, University of Waterloo, Waterloo, ONPaul Ottaway, University of British Columbia, Vancouver, BC

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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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 2010 marks the 48th 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 91.4, 87.7 and 89.5 across the three Contests. The number ofstudents with perfect papers on the three Contests were 3, 16 and 3. We are very pleased with these results.

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 2010 marque la 48e 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 91,4, 87,7 et 89,5 a travers les trois Concours.Le nombre d’etudiants possedant un concours parfait etait de 3, 16 et 3. Nous sommes satisfait de ces resultats.

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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Enrollment Inscription

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

Pascal Cayley FermatNL 51 50 51NS 32 28 27NB 31 31 31PE 3 4 3QC 94 93 93ON 661 647 644MB 47 46 46SK 31 33 31AB 75 40 41BC 188 183 187NU 0 0 1International 77 85 75

Total 1290 1240 1221

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

Pascal Cayley FermatNL 920 725 728NS 853 568 555NB 705 606 512PE 63 93 66QC 2937 2581 2519ON 14204 12408 10263MB 1380 938 805SK 663 576 391AB 2337 926 738BC 5016 4358 3765NU 0 0 1International 3057 2732 2103

Total 32135 26511 22446

Total number of students enrolled / Nombre d’inscriptions individuelles: 81092

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Champions – 2010 Champions – 2010

2010 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2010

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 NiveauDANIEL SPIVAK Bayview S.S. Richmond Hill 9JENNIFER XIE Crofton House School Vancouver 9WOOSUNG YANG Semiahmoo S.S. Surrey 8HENRY ZHANG Glenforest S.S. Mississauga 9HONG RU ZHAO Glenforest S.S. Mississauga 9

TEAMS / EQUIPES

School Location ScoreEcole Endroit Note

Champion / Premiere Glenforest S.S. Mississauga 437Second / Deuxieme Bayview S.S. Richmond Hill 434Third / Troisieme North Toronto C.I. Toronto 426Fourth / Quatrieme Victoria Park C.I. North York 422Fifth / Cinquieme Northern S.S. Toronto 421

Semiahmoo S.S. Surrey 421

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CAYLEY CONTEST / CONCOURS CAYLEY


Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauMATTHEW BRENNAN Upper Canada College Toronto 10JINGWEN CHENG Innisdale S.S. Barrie 10RAYMOND CHO West Vancouver S.S. West Vancouver 10ANQI DONG Walter Murray C.I. Saskatoon 10TONY FENG Seaquam S.S. Delta 10HO YI FUNG Glenforest S.S. Mississauga 10DONG WON KANG North Toronto C.I. Toronto 9JAE WON KIM Southridge School Surrey 10SEUNG WON LEE Southridge School Surrey 10ANDY LI West Vancouver S.S. West Vancouver 10SALLY LI Marc Garneau C.I. North York 10GEOFFRY SONG Lisgar C.I. Ottawa 10JAY YOUNG WOO London Central S.S. London 10LESLIE YING University of Toronto Schools Toronto 9JASON YOO Upper Canada College Toronto 10TOMMY ZHANG Richmond S.S. Richmond 10

TEAMS / EQUIPES


Champion / Premiere West Vancouver S.S. West Vancouver 444Second / Deuxieme Southridge School Surrey 442Third / Troisieme Glenforest S.S. Mississauga 434

University of Toronto Schools Toronto 434Fifth / Cinquieme Upper Canada College Toronto 432

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FERMAT CONTEST / CONCOURS FERMAT


Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauRUTGER CAMPBELL Lisgar C.I. Ottawa 11KAIEN GU St. John’s-Ravenscourt School Winnipeg 11HEINRICH JIANG Vincent Massey S.S. Windsor 11JUHEE LEE St. Francis Xavier S.S. Mississauga 11IAN LEITH University of Toronto Schools Toronto 11VICTOR LIU Dr. Norman Bethune C.I. Scarborough 11MARIYA SARDARLI Strathcona Composite H.S. Edmonton 10CHARLIE SHEN Pinetree S.S. Coquitlam 11HUNTER SPINK Western Canada H.S. Calgary 11MENG ZHAO Western Canada H.S. Calgary 11ALLEN ZHOU Moscrop S.S. Burnaby 11KAIVEN ZHOU Strathcona Composite H.S. Edmonton 11

TEAMS / EQUIPES


Champion / Premiere University of Toronto Schools Toronto 428Second / Deuxieme Vincent Massey S.S. Windsor 426Third / Troisieme Pinetree S.S. Coquitlam 424

St. Francis Xavier S.S. Mississauga 424Fifth / Cinquieme Western Canada H.S. Calgary 422

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2010 FERMAT CONTEST PROVINCIAL CHAMPIONSCHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2010

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

Province Student School LocationProvince Etudiant Ecole EndroitNL NATHAN WILSON Holy Heart of Mary Reg’l H.S. St. John’sNS DYLAN DAY J.L. Ilsley H.S. HalifaxNS PELHAM FLOWERDEW Halifax Grammar School HalifaxNB INTEKHAB HOSSAIN Saint John H.S. Saint JohnPE ALEX PAN Colonel Gray Sr. H.S. CharlottetownQC KYLE ACTON Lindsay Place H.S. Pointe-ClaireQC YINGPENG CHENG E.S. St. Luc MontrealQC OULIN YU E.S. St. Luc MontrealON North YIHAN ZHU Korah C.V.S. Sault Ste. MarieON East RUTGER CAMPBELL Lisgar C.I. OttawaON Metro VICTOR LIU Dr. Norman Bethune C.I. ScarboroughON Metro IAN LEITH University of Toronto Schools TorontoON West HEINRICH JIANG Vincent Massey S.S. WindsorON Central JUHEE LEE St. Francis Xavier S.S. MississaugaMB KAIEN GU St. John’s-Ravenscourt School WinnipegSK KYUNGJIN KIM Walter Murray C.I. SaskatoonAB MARIYA SARDARLI Strathcona Composite H.S. EdmontonAB HUNTER SPINK Western Canada H.S. CalgaryAB MENG ZHAO Western Canada H.S. CalgaryAB KAIVEN ZHOU Strathcona Composite H.S. EdmontonBC CHARLIE SHEN Pinetree S.S. Coquitlam

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Correct Answers Bonnes Rponses

# Pascal Cayley Fermat1 D D A2 C C A3 C A C4 A E C5 C B D6 E E B7 B D D8 E B E9 B C D

10 E B B11 E A C12 C E B13 B D A14 B C D15 D C D16 B B A17 A D B18 C E A19 A A D20 B C D21 D A A22 D C E23 A B C24 C A E25 E D E

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Pascal Contest Concours Pascal

Number of Contestants / Nombre de concurrents: 26245Average mark / Note moyenne: 91.38

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 0.40 0.12 4.29 94.90 0.07 0.16 95.052 C 1.68 0.26 97.50 0.15 0.20 0.15 97.653 C 0.43 0.58 97.85 0.30 0.53 0.27 98.114 A 91.58 0.72 1.12 0.47 5.52 0.54 92.075 C 1.68 3.37 79.62 6.36 6.46 2.44 81.626 E 3.60 0.87 1.14 4.28 89.29 0.77 89.987 B 0.84 89.28 2.64 6.05 0.53 0.61 89.838 E 1.19 1.73 2.63 2.46 90.56 1.37 91.829 B 8.43 67.96 5.90 8.29 2.08 7.27 73.29

10 E 9.13 21.60 0.77 4.12 62.79 1.54 63.7711 E 3.53 2.99 5.32 4.82 78.40 4.89 82.4312 C 7.70 16.15 62.49 2.65 1.77 9.18 68.8013 B 4.44 46.02 32.14 5.27 2.03 10.03 51.1614 B 8.65 72.56 6.11 2.44 1.67 8.52 79.3215 D 28.68 5.30 1.87 55.91 2.86 5.31 59.0516 B 9.60 66.72 3.20 4.52 1.36 14.56 78.0917 A 59.82 3.37 15.65 2.98 6.11 12.01 67.9918 C 4.60 18.61 50.57 8.71 4.29 13.17 58.2519 A 18.30 5.46 16.41 8.36 10.83 40.57 30.8020 B 8.98 28.91 9.25 6.89 5.22 40.69 48.7421 D 7.11 5.50 4.65 43.01 8.65 31.02 62.3422 D 2.43 4.44 11.32 28.94 22.90 29.91 41.2923 A 14.50 8.53 8.93 8.31 7.47 52.20 30.3324 C 5.30 10.36 10.55 5.99 4.02 63.72 29.0725 E 22.96 5.25 7.01 18.40 4.55 41.78 7.81

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Cayley Contest Concours Cayley




Reponse reponse reussies# A B C D E1 D 24.56 0.33 0.14 74.84 0.06 0.02 74.852 C 1.69 1.20 91.43 1.75 3.46 0.41 91.813 A 94.99 0.18 0.82 0.34 3.23 0.39 95.364 E 4.36 2.05 2.29 2.00 83.62 5.62 88.605 B 5.29 81.71 2.61 0.83 5.67 3.84 84.976 E 1.07 2.74 6.34 2.03 83.93 3.83 87.287 D 3.52 4.71 2.72 84.34 1.19 3.47 87.388 B 0.88 83.51 3.47 6.54 1.21 4.33 87.299 C 8.07 6.17 51.40 6.03 6.45 21.83 65.75

10 B 4.17 58.34 23.57 4.20 2.00 7.67 63.1811 A 85.80 3.81 1.82 2.28 1.01 5.23 90.5412 E 12.31 10.02 3.85 5.81 60.13 7.83 65.2413 D 3.51 6.17 4.25 70.40 6.03 9.58 77.8714 C 12.47 36.66 33.15 5.84 1.43 10.40 36.9915 C 6.90 5.42 71.92 2.42 10.93 2.36 73.6616 B 8.84 37.30 7.56 6.48 4.00 35.76 58.0617 D 3.55 6.68 8.89 49.08 3.59 28.15 68.3118 E 6.39 3.93 9.90 7.47 40.43 31.83 59.3019 A 17.45 17.94 11.45 5.02 13.11 34.98 26.8320 C 5.90 8.27 36.70 5.01 4.08 40.00 61.1721 A 41.94 5.80 9.11 5.02 8.67 29.41 59.4222 C 4.52 11.02 11.77 7.09 3.92 61.63 30.6823 B 8.02 32.91 10.77 7.10 4.56 36.58 51.9024 A 9.01 13.72 8.02 8.69 14.51 46.01 16.6925 D 6.53 7.55 11.49 11.44 8.06 54.88 25.36

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Fermat Contest Concours Fermat




Reponse reponse reussies# A B C D E1 A 97.85 0.59 0.29 0.51 0.65 0.07 97.932 A 95.29 3.01 0.73 0.16 0.37 0.41 95.693 C 1.13 14.99 81.78 1.28 0.49 0.31 82.034 C 0.26 6.26 92.15 0.45 0.52 0.32 92.455 D 2.41 0.61 0.58 94.95 0.84 0.58 95.506 B 5.95 82.44 2.81 3.43 1.77 3.57 85.497 D 1.27 0.75 1.91 92.57 1.23 2.25 94.708 E 2.02 0.53 5.20 29.97 59.86 2.39 61.339 D 0.37 0.30 0.49 97.57 0.21 1.02 98.58

10 B 9.40 69.40 3.74 2.24 5.68 9.51 76.6911 C 5.26 4.33 78.36 1.96 8.90 1.17 79.2912 B 3.88 62.73 5.63 2.96 13.03 11.73 71.0713 A 59.32 3.13 18.85 3.41 3.36 11.89 67.3314 D 5.87 2.47 10.43 64.61 13.51 3.08 66.6615 D 8.14 7.70 17.23 26.33 6.41 34.15 39.9916 A 58.91 6.60 9.82 6.19 1.44 17.01 70.9917 B 15.98 29.28 6.21 5.66 5.72 37.12 46.5618 A 58.21 6.13 6.83 9.73 5.41 13.66 67.4219 D 5.71 8.89 6.17 41.79 5.22 32.20 61.6320 D 13.71 3.32 18.22 36.62 7.95 20.15 45.8621 A 39.86 5.46 5.78 5.59 9.93 33.35 59.8022 E 4.59 26.85 6.56 13.61 8.01 40.34 13.4323 C 3.72 4.91 17.63 6.70 9.01 58.01 41.9824 E 3.80 7.65 7.26 7.47 4.37 69.42 14.3025 E 3.96 6.64 7.55 7.26 4.56 70.00 15.19

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Student Rankings Classements des eleves

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position150 1 1 1149148147146145 4 17144 6 18 4143142 8 32 13141140 54 66139 56 67 25138 58 68 28137 101 94 80136 109 96 83135 138134 179 139 101133 279 192 134132 288 196 140131 436 285 210130 451 290 213129 619 356 310128 634 367 312127 854 493 384126 892 505 398125 1200 667 527124 1241 681 553123 1470 800 725122 1537 831 738121 1846 1014 854120 1964 1063 892119 2338 1311 1099118 2463 1365 1139117 2777 1563 1347116 2901 1622 1396115 3272 1884 1592114 3441 1984 1664113 3854 2299 1902112 4007 2410 1967111 4444 2678 2219110 4655 2818 2284109 5062 3114 2525108 5309 3285 2652107 5768 3625 2913106 6009 3819 3050105 6464 4133 3375104 6752 4376 3536103 7197 4689 3852102 7532 4954 4065101 7949 5258 4409100 8271 5514 4628


Position Position Position99 8748 5826 494198 9087 6120 518997 9508 6467 546996 9916 6798 573295 10336 7114 605194 10767 7473 632493 11234 7794 664292 11591 8096 691491 12030 8405 724090 12419 8727 751289 12816 9071 778088 13246 9422 809587 13641 9728 837686 14029 10018 864485 14449 10300 892684 14811 10594 920483 15200 10917 942782 15618 11246 977881 15948 11522 1005080 16304 11803 1033179 16650 12061 1055778 16991 12367 1079577 17353 12675 1103776 17735 12926 1131775 18033 13175 1150774 18349 13437 1172473 18629 13685 1191472 18892 13946 1215871 19226 14200 1239270 19528 14405 1261369 19731 14604 1277868 19985 14823 1294267 20232 15039 1309366 20466 15258 1327365 20718 15427 1342864 20899 15579 1357263 21105 15739 1371862 21292 15886 1384361 21446 16070 1398160 21632 16227 1412959 21814 16357 1423258 21968 16472 1430057 22095 16610 1439656 22208 16745 1447655 22341 16881 1456954 22463 16974 1465153 22564 17081 1472552 22659 17169 1479851 22740 17243 1485350 22822 17350 1491749 22899 17442 14973

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Student Rankings Classements des eleves


Position Position Position48 22964 17510 1501147 23029 17591 1505746 23092 17682 1509245 23135 17759 1512444 23179 17837 1515943 23236 17893 1518742 23272 17954 1521641 23304 17994 1523940 23344 18070 1526839 23375 18126 1529338 23399 18158 1530637 23414 18197 1532636 23432 18226 1534735 23458 18265 1537234 23476 18305 1539433 23486 18326 1540432 23503 18342 1541431 23515 18363 1542530 23524 18388 1543429 23534 18411 1543728 23539 18430 1544227 23544 18440 1544826 23548 18455 1545425 23558 18467 1546324 23566 18485 1546623 23570 18496 1546822 23571 18510 1547021 23573 18519 1547420 23576 18529 1547619 23577 18531 1547718 23578 18536 1548017 23580 1853916 23582 18541 1548115 23583 18547 1548514 1855013 1855112 1855311 1548610 18555

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 1 - 2 3 - 6420 - 429 3 - 6 7 - 11 1 - 5410 - 419 7 - 23 12 - 28 6 - 11400 - 409 24 - 59 13 - 44 12 - 25390 - 399 60 - 106 45 - 73 26 - 61380 - 389 107 - 175 74 - 99 62 - 92370 - 379 176 - 257 100 - 147 93 - 121360 - 369 258 - 336 148 - 207 122 - 168350 - 359 337 - 430 208 - 291 169 - 237340 - 349 431 - 525 292 - 369 238 - 317330 - 339 526 - 608 370 - 450 318 - 398320 - 329 609 - 710 451 - 536 399 - 488310 - 319 711 - 798 537 - 617 489 - 584300 - 309 799 - 867 618 - 695 585 - 657

Number of three student teams / Nombre d’equipes de trois elevesPascal Contest / Concours Pascal : 1079Cayley Contest / Concours Cayley : 1023Fermat Contest / Concours Fermat : 992

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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

2010Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2010Resultats

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

ScoreCity/VilleRank/Rang

School/École

428Toronto1 University of Toronto Schools

426Windsor2 Vincent Massey S.S.

424Mississauga3 St. Francis Xavier S.S.

424Coquitlam3 Pinetree S.S.

422Calgary5 Western Canada H.S.

415West Vancouver6 West Vancouver S.S.

414North York7 Victoria Park C.I.

412Calgary8 Sir Winston Churchill H.S.

410Ottawa9 Lisgar C.I.

410North York9 A.Y. Jackson S.S.

410Toronto9 Northern S.S.

409North York12 Don Mills C.I.

408Scarborough13 Dr. Norman Bethune C.I.

408West Vancouver13 Mulgrave School

408Montreal13 E.S. St. Luc

408North York13 Marc Garneau C.I.

407Saskatoon17 Walter Murray C.I.

406Waterloo18 Sir John A. Macdonald S.S.

406Vancouver18 St. George's School

405West Vancouver20 Sentinel S.S.

405Burnaby20 Burnaby North S.S.

403Vancouver22 Sir Winston Churchill S.S.

402Richmond Hill23 Richmond Green S.S.

400Delta24 Seaquam S.S.

400Vancouver24 Magee S.S.

399North York26 Earl Haig S.S.

397Nepean27 Bell H.S.

397Scarborough27 Agincourt C.I.

396Vancouver29 Lord Byng S.S.

396Vancouver29 Killarney S.S.

396Mississauga29 Glenforest S.S.

396Winnipeg29 St. John's-Ravenscourt School

396Vancouver29 Point Grey S.S.

396Surrey29 Johnston Heights Jr. S.S.

396Victoria29 Mount Douglas S.S.

396Surrey29 Semiahmoo S.S.

396Scarborough29 Sir John A. Macdonald C.I.

395Oakville38 Iroquois Ridge H.S.

394Hamilton39 Westdale S.S.

394North York39 William Lyon Mackenzie C.I.

394North York39 York Mills C.I.

394Montreal39 College Jean de Brebeuf

394Scarborough39 Woburn C.I.

394Mississauga39 John Fraser S.S.

394Burnaby39 Burnaby South S.S.

393London46 London Central S.S.

393Markham46 Markville S.S.

393Etobicoke46 Martingrove C.I.

392York49 St. Michael's College School

392North York49 Havergal College

392Pointe-Claire49 Lindsay Place H.S.

392Markham49 Unionville H.S.

392Surrey49 Fraser Heights S.S.

392Kitchener49 Cameron Heights C.I.

392Victoria49 Claremont S.S.

2010Fermat Contest/Concours Fermat

Team List/Palmarès d'équipes

Grade/NiveauLocation/Endroit

Name/Nom School/École

Group I/Groupe I Scores/Notes 150 - 143CAMPBELL RUTGER 11OttawaLisgar C.I.

GU KAIEN 11WinnipegSt. John's-Ravenscourt School

JIANG HEINRICH 11WindsorVincent Massey S.S.

LEE JUHEE 11MississaugaSt. Francis Xavier S.S.

LEITH IAN 11TorontoUniversity of Toronto Schools

LIU VICTOR 11ScarboroughDr. Norman Bethune C.I.

SARDARLI MARIYA 10EdmontonStrathcona Comp. H.S.

SHEN CHARLIE 11CoquitlamPinetree S.S.

SPINK HUNTER 11CalgaryWestern Canada H.S.

ZHAO MENG 11CalgaryWestern Canada H.S.

ZHOU ALLEN 11BurnabyMoscrop S.S.

ZHOU KAIVEN 11EdmontonStrathcona Comp. H.S.

Group II/Groupe II Scores/Notes 142 - 139NepeanBell H.S.CHEN ERIC 11

OakvilleIroquois Ridge H.S.CHOI WILLIAM 11

North YorkWilliam Lyon Mackenzie C.I.DING JASMINE 11

TorontoUniversity of Toronto SchoolsFUNG ALEXANDER 10

TorontoUniversity of Toronto SchoolsGUO LINCOLN 10

TorontoUniversity of Toronto SchoolsGUO ROBERT 11

West VancouverWest Vancouver S.S.HU ALICE 11

SaskatoonWalter Murray C.I.KIM KYUNGJIN 11

North YorkDon Mills C.I.MAO CHENYI 11

North YorkVictoria Park C.I.NI LEON 11

VancouverMagee S.S.SUN SAM 11

St CatharinesSt. Catharines C.I. & V.S.WEI MENGDI 11

West VancouverMulgrave SchoolXIONG MEIJIA 11

CoquitlamPinetree S.S.YU STEVEN 10

Sault Ste MarieKorah C. & V.S.ZHU YIHAN 11

Group III/Groupe III Scores/Notes 138 - 13811Lindsay Place H.S.ACTON KYLE Pointe-Claire

11Vincent Massey S.S.BAI JOHNNY WEI Windsor

11Hillfield-Strathallan Coll. H.S.BAXTER THOMAS Hamilton

11Sir John A. Macdonald S.S.BI SIFAN Waterloo

10The Abelard SchoolBUTERIN VITALIK Toronto

11E.S. St. LucCHENG YINGPENG Montreal

11Erindale S.S.CHO JAY Mississauga

11Sir John A. Macdonald S.S.CULP BETH Waterloo

11Vincent Massey S.S.CURELEA ANDREI Windsor

11Lycee ClaudelDAIGLE PAUL Ottawa

11J.L. Ilsley H.S.DAY DYLAN Halifax

11St. George's SchoolDEE CHRIS Vancouver

11Moira S.S.DOU JAY Belleville

11Halifax Grammar SchoolFLOWERDEW PELHAM Halifax

11Agincourt C.I.FOUNTAIN AARON Scarborough

11Prince Of Wales Mini SchoolGU FAN DI Vancouver

11Earl Haig S.S.JANITSCH BILLY North York

11Victoria Park C.I.JI ISABEL North York

11West Vancouver S.S.JO SUNGWOO West Vancouver

11University Hill S.S.KIM HYUNGKI Vancouver


Student Rankings/Palmarès d'étudiants

Group III/Groupe III Scores/Notes 138 - 13811Mulgrave SchoolKIM KYU MOK West Vancouver

11St. George's SchoolKIM PAUL Vancouver

11Sentinel S.S.KUO CHIAMING West Vancouver

11John Fraser S.S.LEE MINHO Mississauga

11Mount Douglas S.S.LI HUIQING Victoria

11Seaquam S.S.LIANG KEVIN Delta

11Marc Garneau C.I.LIN ROBERT North York

11Glenforest S.S.MEI BILL Mississauga

11Sir Winston Churchill C.V.I.NATARAJAN KARTHIK Thunder Bay

11Northern S.S.NAVEED HAREEM Toronto

11Richmond Green S.S.OH HENRY Richmond Hill

11Burnaby North S.S.REY RUIZI ZENG Burnaby

11Woburn C.I.SHAAN SARAVANNAN Scarborough

11Sir Winston Churchill H.S.SONG NAM Calgary

10West Vancouver S.S.SUN SUSAN West Vancouver

11Sir John A. Macdonald C.I.WEN YANG Scarborough

11Meadowvale S.S.WU KAIYU Mississauga

11University of Toronto SchoolsWU RUIWEN Toronto

11Killarney S.S.WU YUHAN Vancouver

11Lord Byng S.S.XU FAN Vancouver

11Don Mills C.I.YANG FRANKLIN North York

11Marc Garneau C.I.YANG KARREN North York

11Northern S.S.YANG YUNG LIN Toronto

10A.Y. Jackson S.S.YE KAI North York

11St. Francis Xavier S.S.YOUNAN SIMON Mississauga

11E.S. St. LucYU OULIN Montreal

11A.Y. Jackson S.S.YUAN TAO North York

10University of Toronto SchoolsZHAN ERIC Toronto

11Thornhill S.S.ZHANG ALINA Thornhill

11Sir Winston Churchill H.S.ZHANG JUSTINE Calgary

11Cameron Heights C.I.ZHANG LILY Kitchener

11Sir Charles Tupper S.S.ZHAO YANG Vancouver

Group IV/Groupe IV Scores/Notes 137 - 134AbbotsfordAbbotsford CollegiateAHN SUNGIL 8

MontrealLoyola H.S.ALACCHI JOSEPH 11

CalgarySir Winston Churchill H.S.BABICH YAROSLAV 11

ThornhillSt. Robert C.H.S.CHAN HARRIS 11

RichmondSteveston London S.S.CHENG RUOYU 11

MississaugaSt. Francis Xavier S.S.CHOI WONJOHN 11

TorontoBranksome HallCHONG FIONA 11

LondonLondon Central S.S.CONG AMALIA 11

TorontoThe Abelard SchoolDEVINE ZACHARY 11

MarkhamMarkville S.S.DONG ANNI 11

VancouverPoint Grey S.S.ERIC ZHAO 11

VancouverSir Winston Churchill S.S.GAO JIAYUE 11

TorontoUniversity of Toronto SchoolsGUAN MELODY 10

YorkSt. Michael's College SchoolHAN ERIC 11

SudburyMarymount AcademyHANSON TAYLOR 11

TorontoUniversity of Toronto SchoolsHE JIMMY 11

North YorkVictoria Park C.I.HELMI ALI 11

OshawaO'Neill C.V.I.HOFKIRCHNER ALEX 11

Saint JohnSaint John H.S.HOSSAIN INTEKHAB 11

GloucesterGloucester H.S.HSU BENJAMIN 11

North YorkA.Y. Jackson S.S.HU THOMAS 11



Group IV/Groupe IV Scores/Notes 137 - 134MontrealCollege Jean de BrebeufHUANG ZI JUE 11

CalgaryWestern Canada H.S.KAO WIL 11

TorontoNorthern S.S.LAN TIAN 11

TorontoBishop Strachan SchoolLEE YOUJIN 11

MississaugaThe Woodlands SchoolLI DANIEL 11

VancouverSir Winston Churchill S.S.LI YANZHU 11

CalgarySir Winston Churchill H.S.LIN ISAAC 11

ScarboroughDr. Norman Bethune C.I.LIN TONY 11

BurnabyBurnaby South S.S.LU NELSON 11

TorontoUniversity of Toronto SchoolsMARTIN ADAM 11

SurreySemiahmoo S.S.OH JOSEPH 11

RichmondRichmond S.S.PENG SEAN 11

VancouverBritannia S.S.SHE JERRY 11

SaskatoonWalter Murray C.I.SHI JI 11

North YorkLoretto Abbey C.S.S.SHIN JAHYUN 11

King CityThe Country Day SchoolSIMURDA SAMUEL 11

WoodbridgeFather Bressani C.H.S.SONG PAUL 11

North YorkGeorges Vanier S.S.TANG SKY 11

VancouverCrofton House SchoolTONG VICKY 11

WindsorVincent Massey S.S.WANG CHRIS 11

NanaimoDover Bay S.S.WANG JASON 11

BurnabyBurnaby North S.S.WANG TIANJIAN 11

HalifaxHalifax West H.S.WEAVER IAN 11

LondonLondon Central S.S.WOO JAY YOUNG 10

TorontoUniversity of Toronto SchoolsWU KENNETH 11

North YorkYork Mills C.I.WU ODEN 11

OttawaLisgar C.I.XIAO DI 11

North YorkNewtonbrook S.S.XU TALIA 11

Richmond HillRichmond Hill H.S.YOU ALICE 11

West VancouverWest Vancouver S.S.YUAN YUSHEN 11

WindsorVincent Massey S.S.ZHENG TIGER 11

North York ZHONG BRYAN 11

West VancouverSentinel S.S.ZHOU CONGYUN 11

Group V/Groupe V Scores/Notes 133 - 130AmherstburgGeneral Amherst H.S.ANDREWS MATTHEW 11

TorontoUniversity of Toronto SchoolsARORA NEHA 11

SurreyFraser Heights S.S.BAE SEUNG HOON 11

EtobicokeMartingrove C.I.BIAN MING YI 11

WinnipegWestwood C.I.BRUTTO DANIELE 11

OakvilleIroquois Ridge H.S.BYUN MIKE 11

Richmond HillRichmond Green S.S.CAI WENDY 11

WindsorJohn Campbell P.S.CAO VICTORIA 8

North YorkHavergal CollegeCHAN JODY 11

North YorkYork Mills C.I.CHANG RAYMOND 11

VancouverPrince Of Wales Mini SchoolCHAU BRIAN 11

NepeanBell H.S.CHE JENNIFER 11

MarkhamUnionville H.S.CHEN JESSICA 11

WaterlooWaterloo C.I.CHEN LINDA 11

VancouverSt. George's SchoolCHEN ZHOUBO 11

WaterlooWaterloo C.I.CHERIYAN JOEL 11

North YorkHavergal CollegeCHEUNG SIU MAN 11

Port MoodyPort Moody Sr. S.S.CHO HARRY 11

VancouverSir Winston Churchill S.S.CHO HELEN 11

EdmontonOld Scona Academic H.S.CHOI JUNHO 11



Group V/Groupe V Scores/Notes 133 - 130MississaugaStephen Lewis S.S.CHOO INSOO 11

BurnabyBurnaby South S.S.CHU SANDY 11

VictoriaMount Douglas S.S.CHUNG DAHAN 11

MontrealCollege Jean de BrebeufDEOM MARC ANTOI 11

AncasterHamilton Dist. Christian H.S.DEWEERD CAMERON 11

North YorkDon Mills C.I.DING JACK 11

MontrealCollege Jean de BrebeufDUFRESNE NICOLAS 11

ThornhillSt. Robert C.H.S.FANG JIMMY 11

Saint-Gabriel-de-Valcartier

Ecole Mt. St. SacrementFILLION DOMINIC 11

ScarboroughDr. Norman Bethune C.I.FU IVAN 11

VancouverKing George S.S.GE YANG 11

AbbotsfordW.J. Mouat S.S.GLUM REBEKAH 10

North YorkCrescent SchoolGU LORIN 11

VancouverMagee S.S.GU PING 11

VancouverSir Winston Churchill S.S.GU YANG 11

TorontoUpper Can Col-Upper SchoolHACKER TEPER SEAN 11

AllistonBanting Memorial H.S.HALL WILL 11

VancouverKitsilano S.S. (English)HAN JASON 11

DorvalE.S. Dorval Jean XXIIIHAN XU 11

West VancouverSentinel S.S.HANSUN XU 10

VancouverEric Hamber S.S.HE BILL 11

Richmond HillBayview S.S.HO BRYAN 11

BurnabyBurnaby North S.S.HON SUNNY 11

TorontoUniversity of Toronto SchoolsHSIEH ALAN 11

North YorkMarc Garneau C.I.HU SHANE 11

WindsorVincent Massey S.S.HUANG LAWRENCE 11

MississaugaGordon Graydon Memorial S.S.HUANG PETER 11

North YorkA.Y. Jackson S.S.HUANG WINNIE 11

MarkhamMarkville S.S.HUANG WINNIE 11

Shawnigan LakeShawnigan Lake SchoolHUNG IVAN 11

MississaugaGlenforest S.S.JEON SANGHUN 11

North YorkMarc Garneau C.I.JI ALEX 11

TorontoUniversity of Toronto SchoolsJI KEVEN 11

TorontoUniversity of Toronto SchoolsJIANG AISHI 10

SurreyFraser Heights S.S.JIN KYURO 11

RothesayKennebecasis Valley H.S.KIM JEWON 11

North YorkHavergal CollegeKIM JI HYUN 11

DeltaSeaquam S.S.KIM STEVE 11

WindsorKing's-Edgehill SchoolKIM YANG SEOK 11

Richmond HillRichmond Green S.S.KIM YEWON 11

WaterlooSir John A. Macdonald S.S.KOO ARAM 11

DeltaSeaquam S.S.KWAK FRED 11

VancouverPrince of Wales S.S.LAI LEO 9

CoquitlamPinetree S.S.LAM NEWMAN 11

North YorkEarl Haig S.S.LEE ANDREW 11

VancouverVancouver Tech. S.S.LEE ELLEN 11

EtobicokeSilverthorn C.I.LEE JEONGSU 11

North YorkE.S. Etienne-BruleLEE SHARON 11

VancouverSir Winston Churchill S.S.LEE SOON KYU 11

North YorkMarc Garneau C.I.LEE ZION 11

MontrealE.S. St. LucLEI QI NING 11

SurreyJohnston Heights Jr. S.S.LEI RYAN 11

TorontoUniversity of Toronto SchoolsLEUNG ALVIN 11

TorontoUniversity of Toronto SchoolsLI ANGELA 11

North YorkEarl Haig S.S.LI SAMUEL 11

Richmond HillBayview S.S.LI SIMON 11



Group V/Groupe V Scores/Notes 133 - 130North YorkEarl Haig S.S.LI U ZOE 11

HamiltonWestdale S.S.LIAO CHRISTINA 11

HamiltonWestdale S.S.LIAO ELIZABETH 11

SurreyFraser Heights S.S.LIN HANA 11

CoquitlamPinetree S.S.LIN LEON 11

VancouverPoint Grey S.S.LIN SHAYNE 11

ScarboroughSir John A. Macdonald C.I.LIN TOMMY 11

LondonH.B. Beal S.S.LIN XU 11

WindsorVincent Massey S.S.LIU DAVID SIQI 11

VancouverKillarney S.S.LIU LINQIAO 11

VictoriaClaremont S.S.LIU RAY 11

VictoriaClaremont S.S.LU RICK 11

North YorkEarl Haig S.S.LU SAI 11

SurreyJohnston Heights Jr. S.S.MA MARK 11

HamiltonWestdale S.S.MA XUJIN 11

SurreyJohnston Heights Jr. S.S.MAHAL HARMAN 11

CoquitlamPinetree S.S.MAK LAUREN 11

RichmondR.A. McMath S.S.MAO ANNIE 11

MarkhamUnionville H.S.MATTHEW SEAN 11

BellevilleNicholson Catholic CollegeMAXIMILIAN JANKE 11

North YorkMetropolitan Prep. AcademyMIN SEUNGWOOK 11

WinnipegMennonite Brethren C.I.NEWSOM SCOTT 11

TorontoNorthern S.S.OLDEN COOLIGAN BEN 11

West VancouverWest Vancouver S.S.PAN CHARLES 11

TorontoUniversity of Toronto SchoolsPARK SOOHYUN 11

RichmondRichmond S.S.PARK TOM 11

HamiltonWestdale S.S.PENG CHENG 11

TorontoUpper Can Col-Upper SchoolPENG NONAME 11

OakvilleAppleby CollegePINIZZOTTO MARC ANTHO 11

EtobicokeMartingrove C.I.RADENOVIC MILAN 11

YorkSt. Michael's College SchoolRICHARDSON MACKENZIE 11

TorontoUniversity of Toronto SchoolsROBARTS ADAM 11

ScarboroughWoburn C.I.RONG JAMES 11

North YorkDon Mills C.I.RONG RICKY 11

Port MoodyHeritage Woods SecondaryRYU WON 11

CalgaryWestern Canada H.S.S U CHANG 11

North YorkA.Y. Jackson S.S.SANG SIJIA 11

WindsorVincent Massey S.S.SEKHON KARAN 11

RichmondSteveston London S.S.SHEN SUNNY 11

North VancouverArgyle S.S.SHIM KIYOUNG 11

BurlingtonCorpus Christi C.S.S.SHIN SEUNGCHUL 11

North YorkYork Mills C.I.SONG PAGE 11

SurreySemiahmoo S.S.SONG WEN YI 11

North YorkMarc Garneau C.I.SPROULE MICHAEL 11

WinnipegFort Richmond C.I.SRINIVASAN SURAJ 11

OttawaLisgar C.I.STEPHENSON LAURA 11

MississaugaLorne Park S.S.TANG SALLY 11

CalgaryWestern Canada H.S.TANG TIM 11

VancouverLord Byng S.S.TARAPHAN NUTTAWUT 11

BurnabyBurnaby North S.S.TO SAMUEL 11

MississaugaMississauga S.S.TRUONG DON 11

OttawaLisgar C.I.TSANG PHILLIP 11

North VancouverCarson Graham S.S.WALSH ROWAN 11

ScarboroughDr. Norman Bethune C.I.WANG DAVID 11

RichmondMatthew McNair S.S.WANG DEVIN 11

VancouverSir Winston Churchill S.S.WANG KEVIN 10

Deep RiverMackenzie H.S.WANG SNOW 11



Group V/Groupe V Scores/Notes 133 - 130ScarboroughDr. Norman Bethune C.I.WANG XIAO FAN 11

VictoriaSt. Michael's Univ. SchoolWANG YAOU 11

BurnabyBurnaby North S.S.WANG YUE 11

SurreyJohnston Heights Jr. S.S.WANG YUTONG 11

TorontoUniversity of Toronto SchoolsWHITTAKER LEE KRISJANIS 11

St. John'sHoly Heart of Mary Reg. H.S.WILSON NATHAN 11

North YorkCrescent SchoolWONG CHRIS 11

TorontoUniversity of Toronto SchoolsWONG SHERWIN 10

OttawaLisgar C.I.WU DEAN 11

DeltaSeaquam S.S.WU EDWARD 11

VancouverSir Winston Churchill S.S.WU HARVEY 11

WindsorJohn Campbell P.S.WU LILY YIDI 8

CalgaryJohn Diefenbaker H.S.WU RENDI 11

North YorkEarl Haig S.S.WU TENGZI 11

ScarboroughAgincourt C.I.WU YU 11

MarkhamUnionville H.S.XU ANQI 11

VancouverSir Winston Churchill S.S.XU BEN 10

VancouverPoint Grey S.S.XU HANTIAN 11

CalgaryWestern Canada H.S.XU JACK 11

KingstonKingston C.V.I.XU YISHI 11

VancouverPrince of Wales S.S.YAN YIXUAN 11

EdmontonConcordia H.S.YANG JING 11

GloucesterColonel By S.S.YAO IRIS 11

MarkhamMarkham D.H.S.YEUNG BERNARD 11

WindsorVincent Massey S.S.YIN FAN 11

LangleyWalnut Grove S.S.YOO JEANNIE 11

North YorkEarl Haig S.S.YOO YOUNGHO 11

LangleyD.W. Poppy SecondaryYOON ALEX SOYON 11

RichmondHugh McRoberts S.S.YOSHINO REIKA 11

EdmontonOld Scona Academic H.S.YU JENNIFER 11

SurreySemiahmoo S.S.YUAN CHENG HAO 11

LondonH.B. Beal S.S.YUE XIN 10

VancouverUniversity Transition ProgramZHANG ALLEN 11

VancouverDavid Thompson S.S.ZHANG BRANDON 11

North YorkVictoria Park C.I.ZHANG DANNY 11

DeltaSeaquam S.S.ZHANG STEPHANIE 11

TorontoLawrence Park C.I.ZHANG XIAOYUE 11

ScarboroughDr. Norman Bethune C.I.ZHAO JOHNSON 11

MississaugaLorne Park S.S.ZHAO TIANLE 11

MontrealE.S. St. LucZHOU CONG 11

MississaugaCawthra Park S.S.ZHU GUAN ZHOU 11

TorontoRoyal St. George's CollegeZHU JI SHI 11

GuelphCentennial C. & V.I.ZOU JESSICA 11



2010 Pascal Contest Concours Pascal - cemc.uwaterloo.caSans leurs probl emes perspicaces et...

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