the centre for education in mathematics and computing …

The CENTRE for EDUCATION

in MATHEMATICS and COMPUTING

Le CENTRE d’EDUCATION

en MATHEMATIQUES et en INFORMATIQUEwww.cemc.uwaterloo.ca

2011Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2011Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

c©2011 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 BaeSteve BrownErsal CahitKaren ColeJennifer CoutureSerge D’AlessioFrank DeMaioFiona DunbarMike EdenBarry FergusonBarb ForrestJudy FoxSteve FurinoJohn GalbraithSandy GrahamAngie HildebrandJudith KoellerJoanne KursikowskiBev MarshmanDean MurrayJen NissenJ.P. PrettiLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga

2

Competition Organization Organisation du Concours

Problems Committees / Comites des problemes

Pascal Contest / Concours Pascal

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

Cayley Contest / Concours Cayley

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

Fermat Contest / Concours Fermat

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

3

Foreword Avant-Propos

The Centre for Education in Mathematics and Computing is proud to once again be the major sponsor of theCanadian Mathematics Competition this year. The year 2011 marks the 49th year of Contests produced by theCanadian Mathematics Competition.

Our congratulations go to all who participated in this year’s Pascal, Cayley and Fermat Contests. This year’sContests were resounding successes, with averages of 90.5, 86.3 and 87.7 across the three Contests. The numberof official contestants with perfect papers on the three Contests were 9, 5 and 3.

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 2011 marque la 49e 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 90,5, 86,3 et 87,7 a travers les trois Concours.Le nombre de candidats officiels possedant un concours parfait etait de 9, 5 et 3.

Nous aimerions surtout remercier les Comites de problemes pour leur dur travail. La plupart des membres de cesComites sont des enseignant(e)s d’ecole secondaire actifs d’un bout a l’autre du Canada qui offre leur temps etcontribuent des douzaines d’heures d’expertise. Sans leurs problemes perspicaces et amusants, ces Concours neseraient pas possibles.

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

4

Enrollment Inscription

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

Pascal Cayley FermatNL 57 48 48NS 31 23 25NB 31 31 31PE 7 6 6QC 97 103 99ON 684 673 663MB 54 49 47SK 25 25 25AB 75 44 44BC 189 184 186International 85 97 88

Total 1335 1283 1262

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

Pascal Cayley FermatNL 1113 723 643NS 851 534 478NB 609 550 450PE 195 118 67QC 2986 2711 2584ON 13933 12007 10045MB 1428 883 753SK 567 460 313AB 2257 958 780BC 5068 4381 3706International 2760 2755 2278

Total 31767 26080 22097

Total number of students enrolled / Nombre d’inscriptions individuelles: 79944

5

Champions – 2011 Champions – 2011

2011 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2011

PASCAL CONTEST / CONCOURS PASCAL

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

Gold Medals School Location Grade

Medailles d’or Ecole Endroit NiveauITAI BAR NATAN The Abelard School Toronto 9OLIVER FEI Earl of March S.S. Kanata 9DONG JIAQI Don Mills C.I. North York 9SAMUEL KIM Ancaster H.S. Ancaster 9QINGFAN LIU London Central S.S. London 9SEAN LUCHEN University of Toronto Schools Toronto 8ERIC PAN London Central S.S. London 9XIAOZE WU Marc Garneau C.I. North York 9JAMESON ZHU Windermere S.S. Vancouver 9

TEAMS / EQUIPES

School Location Score

Ecole Endroit NoteChampion / Premiere London Central S.S. London 442Second / Deuxieme University of Toronto Schools Toronto 436Third / Troisieme Marc Garneau C.I. North York 430Fourth / Quatrieme Bayview S.S. Richmond Hill 426Fifth / Cinquieme Glenforest S.S. Mississauga 425

6



CAYLEY CONTEST / CONCOURS CAYLEY



Medailles d’or Ecole Endroit NiveauXIAOHAN CHEN Mulgrave School West Vancouver 10KEVIN CHO Sentinel S.S. West Vancouver 10ORKUNALP ERKAN Marion M. Graham C.I. Saskatoon 10RUI SONG Walter Murray C.I. Saskatoon 10DANIEL SPIVAK Bayview S.S. Richmond Hill 10

TEAMS / EQUIPES


Ecole Endroit NoteChampion / Premiere Bayview S.S. Richmond Hill 426Second / Deuxieme College Jean de Brebeuf Montreal 414Third / Troisieme Westdale S.S. Hamilton 413Fourth / Quatrieme Glenforest S.S. Mississauga 412Fifth / Cinquieme Richmond Hill H.S. Richmond Hill 410

Victoria Park C.I. North York 410

7



FERMAT CONTEST / CONCOURS FERMAT



Medailles d’or Ecole Endroit NiveauXIAOYU DENG Unionville H.S. Markham 11ANQI DONG Walter Murray C.I. Saskatoon 11JUN HO JUNG Vancouver College H.S. Vancouver 11DAVID LIANG A.Y. Jackson S.S. North York 10YUE LIU Fort Richmond C.I. Winnipeg 11BART SUH Lambrick Park S.S. Victoria 11ERIC ZHAN University of Toronto Schools Toronto 11

TEAMS / EQUIPES


Ecole Endroit NoteChampion / Premiere University of Toronto Schools Toronto 424Second / Deuxieme Unionville H.S. Markham 415Third / Troisieme A.Y. Jackson S.S. North York 414

Markham District H.S. Markham 414Fifth / Cinquieme West Vancouver S.S. West Vancouver 412

8


2011 FERMAT CONTEST PROVINCIAL CHAMPIONSCHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2011

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

Province Student School Location

Province Etudiant Ecole EndroitNL TIMOTHY ELLIOTT Mount Pearl Sr. H.S. Mount PearlNS WONJAE CHO Halifax Grammar School HalifaxNS CHRISTOPHER MITCHELTREE Halifax West H.S. HalifaxNS AMANDA STANTON Halifax Grammar School HalifaxNB ANTONIO MOLINA Ste. Anne FrederictonPE THUNDER ZHENG Colonel Gray Sr. H.S CharlottetownQC HENG YU LIN E.S. St. Luc MontrealON Central XIAOYU DENG Unionville H.S. MarkhamON Est JAMES RICKARDS Colonel By S.S. GloucesterON Metro DAVID LIANG A.Y. Jackson S.S. North YorkON Metro ERIC ZHAN University of Toronto Schools TorontoON Nord YUNYU WANG Sir Winston Churchill C.V.I. Thunder BayON Ouest JAY YOUNG WOO London Central S.S. LondonMB YUE LIU Fort Richmond C.I. WinnipegSK ANQI DONG Walter Murray C.I. SaskatoonAB MARIYA SARDARLI Strathcona H.S. EdmontonBC JUN HO JUNG Vancouver College H.S. VancouverBC BART SUH Lambrick Park Victoria

9

Correct Answers Bonnes Rponses

# Pascal Cayley Fermat

1 B B D2 E B A3 C A A4 B C D5 A D C6 A B C7 B A D8 D C B9 E D D

10 C E B11 E D E12 D B E13 A A B14 C C D15 A A E16 D E C17 A C E18 C A B19 E D C20 D B A21 D E A22 C C E23 B B A24 A A D25 A D B

10

Pascal Contest Concours Pascal

Number of Contestants / Nombre de concurrents: 26186Average mark / Note moyenne: 90.52

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

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

Reponse reponse reussies# A B C D E

1 B 0.31 97.53 0.68 0.71 0.65 0.06 97.602 E 0.12 0.69 0.18 0.19 98.56 0.22 98.773 C 1.23 0.92 95.92 0.94 0.60 0.34 96.254 B 4.15 84.46 1.22 2.35 6.11 1.67 85.895 A 90.22 1.00 1.12 4.03 3.23 0.35 90.546 A 73.32 9.47 5.24 7.57 2.85 1.50 74.447 B 1.70 85.95 5.20 3.36 0.71 3.04 88.658 D 1.25 3.03 14.64 76.25 4.41 0.37 76.539 E 2.76 4.00 2.98 3.40 84.11 2.69 86.44

10 C 2.62 25.54 55.54 4.57 5.71 5.98 59.0711 E 11.07 0.93 1.50 3.61 82.10 0.74 82.7112 D 2.94 4.78 17.68 56.99 6.40 11.16 64.1513 A 77.31 4.43 5.22 1.60 2.31 9.09 85.0414 C 5.04 4.04 56.51 11.45 5.32 17.59 68.5815 A 77.02 0.89 9.38 8.57 1.51 2.58 79.0616 D 3.07 10.08 17.93 54.92 9.60 4.36 57.4217 A 59.12 6.51 9.37 3.39 12.57 8.99 64.9618 C 1.44 8.74 29.97 44.91 1.92 12.98 34.4419 E 6.26 8.08 17.58 13.49 20.64 33.90 31.2220 D 14.88 7.55 7.51 22.63 6.93 40.46 38.0121 D 3.18 4.11 10.30 60.43 8.67 13.26 69.6722 C 25.10 14.59 28.92 5.35 4.19 21.81 36.9823 B 9.22 9.67 8.68 6.69 7.44 58.24 23.1624 A 5.06 7.50 10.82 8.77 10.06 57.74 11.9825 A 11.85 8.86 11.37 10.44 19.41 38.03 19.12

11

Cayley Contest Concours Cayley





1 B 0.70 97.62 1.13 0.11 0.37 0.02 97.642 B 0.34 97.59 0.20 0.17 1.42 0.21 97.803 A 93.09 4.23 1.16 0.33 0.26 0.87 93.914 C 0.91 0.51 96.48 0.44 1.09 0.50 96.975 D 1.08 13.78 1.43 79.31 1.32 3.01 81.776 B 9.43 84.14 0.93 1.87 1.28 2.29 86.127 A 82.19 1.46 9.91 0.79 0.92 4.69 86.238 C 1.10 12.59 72.39 2.31 10.27 1.29 73.339 D 2.61 6.93 2.63 76.73 1.76 9.29 84.59

10 E 1.31 2.58 9.71 14.37 68.96 3.01 71.1011 D 2.64 5.45 1.46 86.57 1.86 1.97 88.3112 B 24.67 70.33 1.60 1.57 0.44 1.33 71.2813 A 65.74 7.87 2.43 2.84 16.03 5.04 69.2314 C 0.94 5.53 36.49 47.63 0.96 8.39 39.8315 A 31.94 11.09 6.26 24.89 14.43 11.33 36.0316 E 7.89 16.52 4.59 13.82 34.79 22.34 44.7917 C 5.12 5.63 65.95 2.83 6.21 14.21 76.8718 A 48.27 28.17 2.31 5.65 3.29 12.26 55.0119 D 4.35 15.78 7.23 39.12 8.22 25.24 52.3320 B 6.51 12.47 8.07 6.99 6.26 59.64 30.8921 E 3.11 5.04 7.61 4.52 38.55 41.11 65.4622 C 5.36 6.72 15.01 7.81 34.88 30.17 21.4923 B 3.57 8.82 12.56 10.67 9.81 54.52 19.4024 A 9.88 9.36 14.82 11.85 17.28 36.75 15.6225 D 4.88 9.67 15.25 6.65 6.62 56.88 15.43

12

Fermat Contest Concours Fermat





1 D 1.27 0.63 2.27 95.19 0.34 0.26 95.432 A 97.04 0.35 0.81 0.60 1.07 0.09 97.133 A 96.33 0.56 0.97 0.49 1.19 0.43 96.744 D 1.73 4.99 2.33 88.26 2.37 0.28 88.515 C 0.85 1.52 93.38 0.77 1.82 1.63 94.926 C 0.79 0.84 88.92 8.31 0.20 0.91 89.747 D 17.59 5.21 4.27 69.91 1.18 1.80 71.208 B 21.37 74.37 1.33 1.52 0.49 0.89 75.049 D 2.50 9.75 16.28 59.80 8.92 2.72 61.47

10 B 0.59 89.96 2.63 0.47 3.01 3.30 93.0411 E 7.06 12.98 5.12 12.96 41.65 20.20 52.1812 E 6.62 2.63 5.28 5.36 65.84 14.23 76.7713 B 7.82 71.59 3.52 6.69 2.04 8.30 78.0814 D 17.18 9.42 3.57 61.66 3.70 4.43 64.5215 E 8.73 7.31 3.67 3.41 64.71 12.14 73.6516 C 5.69 19.60 27.72 9.10 3.85 34.00 42.0017 E 1.98 2.66 4.20 8.38 56.89 25.86 76.7418 B 14.27 59.84 3.68 5.75 9.83 6.60 64.0719 C 8.51 2.40 33.33 20.17 2.17 33.39 50.0320 A 25.69 9.01 3.04 5.35 2.40 54.48 56.4321 A 24.07 7.48 4.96 9.33 10.59 43.53 42.6322 E 8.36 6.58 9.66 7.04 14.39 53.93 31.2323 A 7.21 9.57 19.07 10.80 12.31 41.02 12.2224 D 6.88 6.43 7.19 7.60 6.43 65.43 21.9925 B 5.84 5.85 7.99 9.50 10.13 60.64 14.86

13

Student Rankings Classements des eleves

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position150 1 1 1149148147146145 10 4144 11 6 5143142 17 8 8141 58140139 59138 62 16 26137 84 39136 99 19 46135 155134 156 35 78133 246 70 119132 250 72 121131 303 95 140130 315 99 151129 387 140 197128 414 142 209127 539 217 274126 563 227 279125 722 319 357124 761 330 377123 913 416 435122 969 429 465121 1166 571 549120 1245 596 587119 1479 817 696118 1555 841 735117 1787 1020 866116 1896 1051 911115 2206 1251 1025114 2354 1309 1086113 2683 1587 1263112 2851 1645 1349111 3204 1899 1530110 3421 1980 1633109 3813 2248 1840108 4091 2352 1945107 4537 2674 2159106 4800 2794 2314105 5264 3138 2582104 5576 3259 2714103 5997 3597 3011102 6346 3766 3230101 6862 4154 3522100 7295 4332 3752


Position Position Position99 7794 4740 408398 8240 4930 432097 8713 5305 460496 9208 5568 486195 9675 5948 515594 10126 6243 548493 10642 6617 579992 11122 6880 607691 11572 7248 643190 12104 7543 674189 12560 7948 700688 13090 8348 735387 13541 8741 770186 14004 9045 804985 14472 9434 837284 14878 9783 865783 15327 10167 893982 15734 10542 928381 16137 10901 961380 16522 11250 993679 16907 11610 1020778 17239 11963 1043777 17618 12321 1071676 17983 12667 1099975 18301 12991 1125674 18612 13318 1147573 18931 13617 1169572 19228 13901 1191771 19546 14218 1217870 19824 14513 1239269 20081 14792 1258468 20313 15036 1277267 20538 15313 1292266 20776 15554 1310565 21000 15788 1329964 21163 16009 1344163 21355 16225 1358662 21523 16444 1371061 21682 16618 1384060 21850 16794 1395259 21978 16954 1404558 22109 17089 1414757 22227 17239 1423556 22348 17360 1432555 22469 17475 1440954 22584 17597 1449753 22687 17698 1455952 22758 17795 1463351 22833 17893 1469950 22913 17954 1476349 22980 18029 14817

14

Student Rankings Classements des eleves


Position Position Position48 23041 18099 1486947 23093 18151 1490846 23149 18207 1495745 23196 18245 1499644 23240 18296 1503343 23280 18328 1506142 23318 18361 1507741 23353 18403 1510540 23392 18437 1513439 23412 18453 1516438 23436 18476 1518337 23455 18496 1519436 23478 18521 1521035 23507 18549 1522834 23517 18566 1524033 23531 18575 1524832 23540 18586 1526131 23549 18603 1527530 23556 18609 1527929 23561 18622 1528628 23569 18630 1528827 23572 18633 1529626 23575 18641 1530125 23579 18644 1530524 23585 18647 1531023 23588 18649 1531322 23592 18651 1531421 23595 18653 1531720 23597 18657 1532019 23602 18660 1532218 23604 1532417 23606 18662 1532616 23607 18663 1532815 18664 1533114 153361312 23608 1533711 2360910

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

15

Team Scores Notes des equipes

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

No d’ecoles No d’ecoles No d’ecoles440 - 450 1 0 0430 - 439 2 0 0420 - 429 4 1 1410 - 419 17 5 5400 - 409 19 3 14390 - 399 29 20 23380 - 389 36 26 16370 - 379 49 31 22360 - 369 72 39 33350 - 359 81 51 46340 - 349 93 66 63330 - 339 102 71 65320 - 329 111 85 81310 - 319 89 69 84300 - 309 94 78 94

Number of three student teams / Nombre d’equipes de trois elevesPascal Contest / Concours Pascal : 980Cayley Contest / Concours Cayley : 925Fermat Contest / Concours Fermat : 921

16

The CENTRE for EDUCATION

in MATHEMATICS and COMPUTING

Le CENTRE d’EDUCATION

en MATHEMATIQUES et en INFORMATIQUEwww.cemc.uwaterloo.ca

2011Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2011Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

Cayley Contest Honour RollsPalmares pour le concours Cayley

Score/NoteCity/VilleRank/Rang

School/École

426Richmond Hill1 Bayview S.S.

414Montreal2 College Jean de Brebeuf

413Hamilton3 Westdale S.S.

412Mississauga4 Glenforest S.S.

410Richmond Hill5 Richmond Hill H.S.

410North York5 Victoria Park C.I.

408North York7 Don Mills C.I.

400Toronto8 University of Toronto Schools

400Waterloo8 Waterloo C.I.

398Vancouver10 Lord Byng S.S.

398Vancouver10 Sir Winston Churchill S.S.

398Saskatoon10 Walter Murray C.I.

397Coquitlam13 Pinetree S.S.

396Burnaby14 Burnaby North S.S.

396Port Moody14 Port Moody Sr. S.S.

396Richmond14 Richmond S.S.

396Vancouver14 St. George's School

395Windsor18 Vincent Massey S.S.

394Montreal19 E.S. St. Luc

394North York19 William Lyon Mackenzie C.I.

393Vancouver21 Kitsilano S.S. (English)

392North York22 Crescent School

392Ottawa22 Lisgar C.I.

392Richmond22 R.C. Palmer S.S.

392Thornhill22 Thornhill S.S.

391Winnipeg26 Fort Richmond C.I.

390Gloucester27 Colonel By S.S.

390Westmount27 E. Int'l de Montreal

390Richmond27 Steveston London S.S.

388North York30 Marc Garneau C.I.

388Markham30 Markham District H.S.

388Victoria30 Mount Douglas S.S.

388West Vancouver30 Mulgrave School

387Vancouver34 Magee S.S.

386Nepean35 Bell H.S.

386West Vancouver35 Sentinel S.S.

386Calgary35 Western Canada H.S.

385Toronto38 North Toronto C.I.

384Toronto39 Danforth Coll & Tech. Inst.

384North York39 Earl Haig S.S.

384Scarborough39 Sir John A. Macdonald C.I.

384Victoria39 St. Michael's Univ. School

384Abbotsford39 Yale S.S.

382Toronto44 Bloor C.I.

382Scarborough44 Dr. Norman Bethune C.I.

382Toronto44 Jarvis C.I.

382London44 London Central S.S.

382Mississauga44 The Woodlands School

381Kanata49 Earl of March S.S.

381Montreal-Ouest49 Royal West Academy

380North York51 A.Y. Jackson S.S.

380Richmond51 Hugh McRoberts S.S.

380New Westminster51 New Westminster S.S.

380Waterloo51 Sir John A. Macdonald S.S.

380Winnipeg51 St. John's-Ravenscourt School

2011Cayley Contest/Concours Cayley

Team List/Palmarès d'équipes

Grade/NiveauLocation/Endroit

Name/Nom School/École

Group I/Groupe I Scores/Notes 150 - 145CHEN XIAOHAN 10West VancouverMulgrave School

CHO KEVIN 10West VancouverSentinel S.S.

ERKAN ORKUNALP 10SaskatoonMarion M. Graham C.I.

SONG RUI 10SaskatoonWalter Murray C.I.

SPIVAK DANIEL 10Richmond HillBayview S.S.

Group II/Groupe II Scores/Notes 144 - 135North YorkVictoria Park C.I.CHACHCHA VIVEK 10

MississaugaGlenforest S.S.CHAO ANGELA 10

Richmond HillAlexander Mackenzie H.S.CHEANG IVY 10

VancouverLord Byng S.S.CHEN CINDY 10

RichmondR.C. Palmer S.S.CHU TIMMY 10

HamiltonWestdale S.S.GREIG ETHAN 10

CoquitlamPinetree S.S.HO JEFFREY 10

WinnipegColl. Sturgeon Heights Collegiate

HSU STANLEY 10

RichmondSteveston London S.S.HUANG JOHN 10

BurnabyBurnaby North S.S.LI M JEANNE 8

MarkhamMilliken Mills H.S.LINGATHAS RAJINTH 10

SaskatoonCentennial CollegiateLIU ALICE 10

MarkhamMarkham District H.S.LU THOMAS 10

Richmond HillRichmond Hill H.S.MENG FANDI 10

NepeanJohn McCrae S.S.MUSCLOW BRAD 10

VictoriaMount Douglas S.S.NEUFELD LUKE 10

North YorkDon Mills C.I.QIU BOBBY 10

TorontoUniversity of Toronto SchoolsQIU MENGTING 9

Richmond HillBayview S.S.REN TONY 10

MontrealCollege Jean de BrebeufRUHLMANN MATHIAS 10

HamiltonWestdale S.S.WANG ANDY 10

CalgaryWestmount Charter SchoolWHITE ETHAN 10

KitchenerCameron Heights C.I.XU STAR 10

Richmond HillRichmond Hill H.S.YOUNG MICHAEL 10

TorontoBloor C.I.YU BILL 10

MississaugaGlenforest S.S.ZHANG HENRY 10

MontrealCollege Jean de BrebeufZHAO WEN XUAN 10

BurnabyBurnaby North S.S.ZHOU JASON 10

RichmondRichmond S.S.ZHOU NED 10

Group III/Groupe III Scores/Notes 134 - 13410Gordon Graydon Memorial S.S.ARULMANI DHEEVESH Mississauga

10Sir Winston Churchill S.S.BANG SHARON Vancouver

10Elmwood SchoolCAI TANNYA Rockcliffe

10Sir Winston Churchill S.S.CAO SHARON Vancouver

10Ross Sheppard Comp. H.S.CHEN TIANYUAN Edmonton

10E. Int'l de MontrealDING SU YU Westmount

10Jarvis C.I.FADZEYEVA EVGENIA Toronto

9University of Toronto SchoolsGE SABRINA Toronto

10Lisgar C.I.GU BAILEY Ottawa

10Port Moody Sr. S.S.GU LINGYAN Port Moody

10Vaughan Road AcademyHUANG CHARLIE York

9Waterloo C.I.JIN BILLY Waterloo

10Yale S.S.KIM JI SUP Abbotsford


Student Rankings/Palmarès d'étudiants

Group III/Groupe III Scores/Notes 134 - 13410Kitsilano S.S. (English)LEE DAVID Vancouver

10St. Robert C.H.S.LEE SOOBI N Thornhill

10St. Michael's Univ. SchoolLI JAMIE Victoria

10St. George's SchoolLI JIMING Vancouver

10Thornhill S.S.LI VICTOR Thornhill

10William Lyon Mackenzie C.I.LIU HSIN YEN North York

8Waterloo C.I.LU EDWARD Waterloo

10E.S. St. LucLU YUFAN Montreal

10New Westminster S.S.MA EMILY New Westminster

9London Central S.S.PARK DANNY London

10Bayview S.S.TAM KEITH Richmond Hill

10Vincent Massey S.S.TSAI EDWARD Windsor

10College Jean de BrebeufVARINOT GABRIEL Montreal

10Bell H.S.WANG SUNNY Nepean

10Kelowna S.S.WILLIAMS ARIANA Kelowna

10William Lyon Mackenzie C.I.XIE JASON North York

10Don Mills C.I.XIE PETER North York

10Richmond S.S.XIE RONALD Richmond

10Victoria Park C.I.YATSENKO L M DMITRI North York

10St. Michael's Univ. SchoolYOO VICTOR Victoria

10Glenforest S.S.ZHAN DAVIS Mississauga

10Victoria Park C.I.ZHANG JASON North York

Group IV/Groupe IV Scores/Notes 133 - 130VancouverSir Winston Churchill S.S.CAI DAVID 10

North YorkCrescent SchoolCHIEN KEVIN 10

WindsorVincent Massey S.S.CHIRIAC DRAGOS 10

VancouverLord Byng S.S.CHOO JENNA 10

WindsorKing's-Edgehill SchoolCHOU SID 10

BramptonHarold M. Brathwaite S.S.DOAN CINDY 10

MontrealE.S. St. LucFANG YITONG 10

ThornhillThornhill S.S.FU DAVID 10

Richmond HillLangstaff S.S.GAO QIAOYU 10

Port MoodyHeritage Woods SecondaryGIVEN NO NAME 10

ScarboroughDr. Norman Bethune C.I.GOU BARBARA 10

BurnabyBurnaby Mountain S.S.GUAN JESSICA 10

West VancouverCollingwood SchoolHAN SOOJEONG 10

North YorkCrescent SchoolHAYWARD JACK 10

New WestminsterNew Westminster S.S.HE BILL 9

CochraneCochrane H.S.HEULE JAY 10

MarkhamSt. Augustine C.H.S.HO ERNEST 10

BramptonHarold M. Brathwaite S.S.HOANG CLEMENT 10

WinnipegSt. John's-Ravenscourt SchoolHONG CRYSTAL 10

VancouverCrofton House SchoolHUANG WINA 10

MississaugaJohn Fraser S.S.JIN KEVIN 10

VancouverWest Point Grey AcademyKAM SHARON 10

WindsorVincent Massey S.S.KONG ANGUS 10

KingstonFrontenac S.S.KOTECHA SACHIN 10

VancouverSt. George's SchoolKWOK BRIAN 10

Greenfield ParkCentennial Reg. H.S.LAM FREDRIC 10

CoquitlamPinetree S.S.LEE CORNELL 10

VancouverSt. George's SchoolLEE SUNGJIN 10

MississaugaT.L. Kennedy S.S.LEI GAVIN 10

VancouverMagee S.S.LI ANGELA 10

WaterlooWaterloo C.I.LI RONGZHAO 9



Group IV/Groupe IV Scores/Notes 133 - 130DeltaSouth Delta S.S.LI WILLIAM 9

VancouverLord Byng S.S.LI ZIYAN 10

Port MoodyPort Moody Sr. S.S.LIANG SHU TING 10

WinnipegFort Richmond C.I.LIU DAVID 10

SurreyJohnston Heights Jr. S.S.LUO LYNN 10

CoquitlamPinetree S.S.MARAIS PAUL 10

AbbotsfordYale S.S.MOON EUGENE 10

CalgaryWestern Canada H.S.NAM HEE JOO 10

TorontoNorth Toronto C.I.OU DAVID 10

Richmond HillRichmond Hill H.S.QIU ALVIN 10

Richmond HillRichmond Hill H.S.QIU BRYAN 10

TorontoDanforth Coll & Tech. Inst.REGMI AVIN 10

North YorkA.Y. Jackson S.S.REN MENGJIE 10

ScarboroughSir John A. Macdonald C.I.SHEN SHELLEY 10

GloucesterColonel By S.S.SHENG LILLY 10

VancouverEric Hamber S.S.SHIN DAVID 10

Port MoodyPort Moody Sr. S.S.SUAN CALEB 10

VancouverMagee S.S.TAM BRIAN 10

VancouverLord Byng S.S.TANG TOM 10

North YorkDon Mills C.I.WAN KIANNA 10

WaterlooSir John A. Macdonald S.S.WANG ARTHUR 10

West VancouverWest Vancouver S.S.WANG BOBBY 10

KanataEarl of March S.S.WEI YUANHAO 10

DeltaSeaquam S.S.WEN JANE 10

North YorkDon Mills C.I.WU JOHN 10

North YorkVictoria Park C.I.WU KEVIN 10

WinnipegFort Richmond C.I.WU SHUYI 10

ScarboroughDr. Norman Bethune C.I.WU TONY 10

WindsorVincent Massey S.S.XIE SALLY CHEN 10

HamiltonWestdale S.S.XU JACK 10

VancouverKitsilano S.S. (English)XU Y TAMMY 10

North YorkDon Mills C.I.YANG ISABELLE 10

GloucesterColonel By S.S.YANG XINYI 10

North YorkMarc Garneau C.I.ZHANG BOHAN 10

WestmountE. Int'l de MontrealZHANG DAVID 10

OttawaLisgar C.I.ZHANG FAN 10

WaterlooWaterloo C.I.ZHANG JIM 9

WindsorVincent Massey S.S.ZHAO PETER 10

BurnabyBurnaby South S.S.ZHENG EVEN 10

Group V/Groupe V Scores/Notes 129 - 126YorkGeorge Harvey C.I.AHMED SAMIUDDIN 10

VancouverLord Byng S.S.AHN SEHEE 10

CalgaryWestern Canada H.S.BAEK SUNGWOO 10

KitchenerEastwood C.I.BAER ANGELA 10

Saint-LambertCollege Durocher/St-LambertBOURASSA ALICE 10

RichmondSteveston London S.S.BOWER KYLE 10

OakvilleAbbey Park H.S.BYUN GREG 10

MississaugaThe Woodlands SchoolCHAN GODWIN 10

ThornhillThornhill S.S.CHAN KEVIN 10

VancouverDavid Thompson S.S.CHANG ALEXANDER 10

OttawaLisgar C.I.CHASSIN NICOLE 10

TorontoSt. Joseph's College SchoolCHEN AMY 10

SurreyFraser Heights S.S.CHEN JEAN 10

OttawaLisgar C.I.CHEN JULIA 10



Group V/Groupe V Scores/Notes 129 - 126TorontoMalvern C.I.CHEN LARRY 10

BurnabyMoscrop S.S.CHEN MARIA 10

North YorkEarl Haig S.S.CHEN PETER 10

MontrealE.S. St. LucCHEN YI TONG 10

RichmondH.J. Cambie S.S.CHEUNG KAKIT 10

RichmondSteveston London S.S.CHIU CLARENCE 10

North VancouverWindsor S.S.CHOW KEVIN 10

WaterlooSir John A. Macdonald S.S.CHRISTY LUKE 10

MontrealCollege Marie de FranceCOUTURE SANDRINE 10

LongueuilEcole Jacques-RousseauDEL ZOPPO NICOLAS 10

North YorkMarc Garneau C.I.DING MAYLYNN 10

Richmond HillBayview S.S.DONG GRACIA 10

VancouverSir Winston Churchill S.S.DU JAMES 10

TorontoUniversity of Toronto SchoolsELENDT MAXWELL 9

TorontoUniversity of Toronto SchoolsFARRANT DIAZ NATHAN 9

VancouverLord Byng S.S.FENG SHELLEY 10

VancouverVancouver College H.S.GAO HANYANG 10

OutremontCollege StanislasGEORGESCU SEBASTIAN 10

Montreal-OuestRoyal West AcademyGOLDSTEIN STEVIE 10

EtobicokeFather John Redmond H.S.GOMES VALERIAN 10

RichmondRichmond S.S.GU MICHELLE 10

North YorkMarc Garneau C.I.GUO XIAO YAN 10

TorontoJarvis C.I.HONG SEOLIM 10

CoquitlamPinetree S.S.HSU PETER 10

SurreyFleetwood Park S.S.HUANG BENJI 10

North YorkEarl Haig S.S.HUANG SONIA 10

Richmond HillBayview S.S.HUANG TOMMY 10

RichmondR.C. Palmer S.S.HUANG WILSON 10

VancouverKillarney S.S.HUMENIUK TANYA 10

TorontoUpper Can Col-Upper SchoolJANMOHAMED ALYF 10

WhitbySinclair S.S.JAYATILLEKE DESHAN 10

PierrefondsCollege BeauboisJEAN FELIX 10

RichmondR.A. McMath S.S.JEN GREGORY 10

OakvilleHoly Trinity C.S.S.JEON JESSICA 10

SurreyPanorama Ridge S.S.JHAJJ JAGJOT 9

MississaugaThe Woodlands SchoolJI JAMES 10

Shawnigan LakeShawnigan Lake SchoolJIANG GEORGE 10

VictoriaMount Douglas S.S.JIAO BOYANG 10

VancouverWest Point Grey AcademyJIN TONY 10

TorontoNorth Toronto C.I.JOY ROBERT 10

WinnipegVincent Massey CollegiateJUNG SEYEON 10

KimberleySelkirk S.S.KIM CHRISTIMA 10

VancouverSt. George's SchoolKIM KUN 10

London KIM RYAN 10

LangleyWalnut Grove S.S.KO TONY 10

Richmond HillBayview S.S.KONG LESTER 10

Saint-JeromeAcademie LafontaineLAFANTAISIE CHARLES 10

RichmondR.A. McMath S.S.LAI ANTONI 10

VancouverKitsilano S.S. (English)LEE AARON 10

West VancouverCollingwood SchoolLEE CHAE RI 10

KanataEarl of March S.S.LEE SUNGHYUN 10

North YorkMarc Garneau C.I.LI DAVID 10

CambridgeSt. Benedict C.S.S.LI DAVID 10

Port MoodyHeritage Woods SecondaryLI HUNTER 10

TorontoHarbord C.I.LI JEREMY 10

TorontoDanforth Coll & Tech. Inst.LI SHUHAO 10

WindsorVincent Massey S.S.LI TIANSHI 10



Group V/Groupe V Scores/Notes 129 - 126Pointe-ClaireLindsay Place H.S.LIANG JIAYAO 10

WindsorVincent Massey S.S.LIAO CATHERINE 10

North YorkThe Prestige SchoolLIFSHITSS MELI 9

CoquitlamGleneagle S.S.LIM HOJU N 10

RichmondRichmond S.S.LIU ALLEN 10

North YorkEarl Haig S.S.LIU BEN 10

WaterlooWaterloo C.I.LIU BRYAN 10

BurnabyMoscrop S.S.LIU DENNIS 10

TorontoNorth Toronto C.I.LIU EDISON 10

WestmountThe StudyLU JESSICA 10

RichmondR.C. Palmer S.S.LU KEVIN 10

WestmountE. Int'l de MontrealLU ORION 10

RichmondHugh McRoberts S.S.LU QILI 10

North YorkDon Mills C.I.LU TONY 10

Richmond HillRichmond Hill H.S.MA ASHLEY 10

YorkSt. Michael's College SchoolMACAN JONAH 10

BurlingtonNotre Dame R.C.S.S.MACLACHLAN BROOKS 10

Richmond HillRichmond Hill H.S.MIN NICOLAES 10

TorontoSt. Michael's Choir SchoolMITCHELL KIJANA 10

Fenelon FallsFenelon Falls S.S.MIYAMOTO DAVID 10

ScarboroughSir John A. Macdonald C.I.MO TRACY 10

WinnipegSt. John's-Ravenscourt SchoolMOLGAT STEFAN 10

RichmondHugh McRoberts S.S.MOON HYE LIM 10

North YorkVictoria Park C.I.NACHIAPPAN MEYYAPPAN 10

VancouverLittle Flower AcademyNG MONICA 10

WalkertonSacred Heart SchoolNG SHELLY 10

WindsorWalkerville C.I.PALMER LIAM 10

WindsorWalkerville C.I.PALMER LUCAS 10

NepeanBell H.S.PARK BRYAN 10

Shawnigan LakeShawnigan Lake SchoolPARK MIKE 10

North YorkDon Mills C.I.PEI ERIC 10

TorontoDanforth Coll & Tech. Inst.RAHMAN WASIUR 10

WinnipegFort Richmond C.I.REN HONGRU 10

MontrealCollege Marie de FranceROSSOKHATA KATERYNA 10

North YorkMarc Garneau C.I.RUKAJ RIGERS 10

OakvilleWest Oak P.S.SAFADI YUSUF 8

LondonCatholic Central H.S.SAREEN VASU 10

NeguacC.S.C. LafontaineSAVOIE JEREMY 10

WinnipegFort Richmond C.I.SEGARCEANU ALEXANDRA 10

EtobicokeMichael Power-St JosephSEO JULIAN 10

WinnipegFort Richmond C.I.SHAH PRATIK 10

Montreal-OuestRoyal West AcademySHAO YI HONG 10

VancouverUniversity Transition ProgramSHE XINYAN 9

Richmond HillRichmond Hill H.S.SHEN BEVERLY 10

North YorkVictoria Park C.I.SHEN HELEN 10

Richmond HillBayview S.S.SHIN WENDY 10

ScarboroughSir W. Laurier C.I.SIVAJOTHY SUBHANYA 10

NepeanMerivale H.S.SMILOVICI ED 10

EdmontonOld Scona Academic H.S.SONG ANDREW 10

North YorkMarc Garneau C.I.SONG JIAPEI 10

CalgarySpringbank Comm. H.S.STADLWIESER REGAN 10

WhitbySinclair S.S.STAHLKE SAMANTHA 10

TorontoNorthern S.S.STAJIC VLADIMIR 10

BarrieInnisdale S.S.SUN SIYUAN 10

North YorkVictoria Park C.I.SUO SIMON 10

RichmondHugh McRoberts S.S.TAN ANNA 10

North YorkVictoria Park C.I.THIRUNAVUKKARA PRANAVAN 10



Group V/Groupe V Scores/Notes 129 - 126BurnabyMoscrop S.S.TSAO GINNY 10

Richmond HillBayview S.S.WANG ALLEN 10

VancouverPoint Grey S.S.WANG CELINE 10

OakvilleAppleby CollegeWANG DIAN 10

OttawaLisgar C.I.WANG JESSE K 10

VancouverSir Winston Churchill S.S.WANG KEVIN 10

WestmountWestmount H.S.WANG PO SHIANG 10

HamiltonWestdale S.S.WANG TIANDUO 10

WinnipegKelvin H.S.WANG YUSHI 10

Campbell River WASTENEYS JAMIE 10

ScarboroughAgincourt C.I.WEI FELIX 10

MississaugaGlenforest S.S.WEI ROBIN 10

North YorkCrescent SchoolWHITTAKER LEE STEFAN 10

Port MoodyPort Moody Sr. S.S.WONG ALVIN 10

EdmontonOld Scona Academic H.S.WONG ANDY 10

North YorkWilliam Lyon Mackenzie C.I.WONG JEREMY 10

GuelphJohn F. Ross C.V.I.WU ANGELA 10

TorontoUniversity of Toronto SchoolsWU HENRY 9

North YorkMarc Garneau C.I.WU JENNY 10

North YorkNorthview Heights S.S.WU YUMENG 10

VancouverSir Winston Churchill S.S.XI WILLIAM 10

North YorkEarl Haig S.S.XIA YUCHEN 10

VancouverPoint Grey S.S.XING MAY 10

OakvilleAbbey Park H.S.XU DENNIS 10

GloucesterColonel By S.S.XU M MAXIME 10

WaterlooWaterloo C.I.XUE ZEHAO 10

EtobicokeBishop Allen AcademyYAKYMOVA HANNA 10

VancouverSir Winston Churchill S.S.YANG BOB 10

TorontoDanforth Coll & Tech. Inst.YANG DAVID 10

WinnipegFort Richmond C.I.YANG JENNIE 10

Richmond HillBayview S.S.YANG KEVIN 10

North YorkA.Y. Jackson S.S.YANG QIN 10

SurreyFraser Heights S.S.YANG YOUNG 10

Richmond HillRichmond Hill H.S.YE TONY 10

MississaugaThe Woodlands SchoolYING TED 10

North YorkMarc Garneau C.I.YU ALLEN 10

CharlottetownColonel Gray Sr. H.SYU KEVIN 10

CalgaryWestern Canada H.S.YUAN ALEX 10

North YorkYork Mills C.I.ZHANG CYNTHIA 10

OttawaLisgar C.I.ZHANG SUSAN 10

CoquitlamPinetree S.S.ZHANG XING YE 10

RichmondA.R. MacNeill S.S.ZHANG YICHEN 10

CalgaryWebber AcademyZHAO HONG RU 10

East YorkLeaside H.S.ZHAO MORGAN 10

SaskatoonWalter Murray C.I.ZHAO RUNZHANG 10

ScarboroughAlbert Campbell C.I.ZHAO YILUN 10

ScarboroughSir John A. Macdonald C.I.ZHOU GUANG YU 10

Port MoodyPort Moody Sr. S.S.ZHU MAYANNE 10

St. John'sHoly Heart of Mary Reg. H.S.ZHU YIQING 10

North YorkEarl Haig S.S.ZHUANG RAYMOND 10

MontrealCollege Jean de BrebeufZLOTCHEVSKI ANDREI 10



the centre for education in mathematics and computing …

Documents