2008 Pascal Contest Concours Pascal - CEMC

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

2008Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2008Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

C.M.C. Sponsors

CharteredAccountants

C.M.C. Supporter

c©2008 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 BakerSteve BrownJennifer CoutureFiona DunbarJeff DunnettMike EdenBarry FergusonJudy FoxSandy GrahamAngie HildebrandJudith KoellerJoanne KursikowskiDean MurrayJ.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), Exeter, ONLloyd Auckland, Waterloo, 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 Central S.S., Stratford, ONCharlotte Danard, Branksome Hall, Toronto, ONShawn Godin, Cairine Wilson S.S., Orleans, ONCatherine Haines, Western Technical-Commerical School, Toronto, ONChristopher Ing, Vincent Massey S.S., Windsor, ONJack Koenka, Havergal College, Toronto, ON

Fermat Contest / Concours Fermat

Paul Fennell (Chair / president), London, ONFiona Dunbar, University of Waterloo, Waterloo, ONCliff Lelievre, Oakville Trafalgar H.S., Oakville, ONMichelle McGinty, Waterloo C.I., Waterloo, ONDean Murray, University of Waterloo, Waterloo, ONAlexandru Pintilie, Crescent School, Toronto, ONDan Schnabel, Vaughan S.S., Thornhill, ONDavid Shepherd, Collingwood C.I., Collingwood, 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 2008 marks the 46th 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 87.3, 90.1 and 86.4 across the three Contests. The numberof students with perfect papers on the three Contests were 42, 12 and 6, including International and Unofficialcompetitors. We are very pleased with these results. The overall number of students writing this year’s papersshowed a small decrease over that from 2007.

This year, we tried for the first time having individual school results available online in “real time” as we scannedand marked forms. As a result, we were able to have some students’ scores available within three days of theContests. We were quite happy with how this worked, and will continue to experiment with this.

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 2008 marque la 46e 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 87,3, 90,1 et 86,4 a travers les trois Concours.Le nombre d’etudiants possedant un concours parfait etait de 42, 12 et 6, en incluant les concurrents interna-tionaux et non officiels. Nous sommes satisfait de ces resultats. L’ensemble du nombre de participants cette anneea montre une petite diminution comparee a 2007.

Cette annee, nous avons essaye pour la premiere fois d’avoir les resultats d’ecole disponible en ligne au fur eta mesure que nous avions balaye et corrige les formulaires de reponses. Par consequent, nous avions les resultatspour beaucoup des etudiants disponibles trois jours apres les Concours. Nous etions tout a fait heureux avec lederoulement et nous continuerons a experimenter avec ceci.

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 57 56 55NS 38 30 30NB 30 31 30PE 5 4 4QC 102 102 99ON 638 631 628MB 49 46 47SK 34 33 31AB 78 45 41BC 200 188 189International 58 60 58

Total 1289 1226 1212

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

Pascal Cayley FermatNL 998 826 727NS 1120 646 597NB 585 627 507PE 144 63 71QC 3161 2734 2412ON 14959 12289 10525MB 1434 1020 809SK 805 655 447AB 2493 867 787BC 6324 5086 4406International 1994 1585 1191

Total 34017 26398 22479

Total number of students enrolled / Nombre d’inscriptions individuelles: 82894

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Champions – 2008 Champions – 2008

2008 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2008

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 NiveauSEUNGJIN AN St. Andrew’s College Aurora, ON 8AMALIA CONG Windfields J.H.S. North York, ON 9SEAN DEBRONI St. Michael’s University School Victoria, BC 9JACK DILLON Athens D.H.S. Athens, ON 8JASMINE DING William Lyon Mackenzie C.I. North York, ON 9BENOIT FOURNIER College Jean de Brebeuf Montreal, QC 9JIAYUE GAO Stratford Hall Vancouver, BC 9ANDY HAN Gordon Graydon Memorial S.S. Mississauga, ON 9JIMMY HE University of Toronto Schools Toronto, ON 9ALICE HU West Vancouver S.S. West Vancouver, BC 9ALEX JI Marc Garneau C.I. North York, ON 9HEINRICH JIANG Vincent Massey S.S. Windsor, ON 9ERIC KIM Windfields J.H.S. North York, ON 9TIAN LAN Northern S.S. Toronto, ON 9CHIEH MING LIU Fraser Heights S.S. Surrey, BC 9LARRY LIU Point Grey S.S. Vancouver, BC 9RICHARD LIU University of Toronto Schools Toronto, ON 9BRENT LOWRY Riverbend J.H.S. Edmonton, AB 9XIN NING Zion Heights J.H.S. North York, ON 9SUZIE PAN Hugh McRoberts S.S. Richmond, BC 9SUNGHWAN PARK Fredericton H.S. Fredericton, NB 9SUSAN SUN West Vancouver S.S. West Vancouver, BC 8SHELDON TUNG University of Toronto Schools Toronto, ON 9YAO WANG St. Michael’s University School Victoria, BC 9MATTHEW WARREN The Woodlands School Mississauga, ON 9AMY WU Burnaby South S.S. Burnaby, BC 9PHILIP XIAO Sir Winston Churchill S.S. Vancouver, BC 9YUNG LIN YANG Northern S.S. Toronto, ON 9FAN YIN Vincent Massey S.S. Windsor, ON 9JOE ZENG Zion Heights J.H.S. North York, ON 9CYRIL ZHANG Zion Heights J.H.S. North York, ON 9MENG ZHAO Queen Elizabeth H.S. Calgary, AB 9BRYAN ZHONG Victoria Park C.I. North York, ON 9KAIVEN ZHOU Vernon Barford School Edmonton, AB 9KEVIN ZHOU North York, ON 8

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TEAMS / EQUIPES

School Location ScoreEcole Endroit Note

Champion / Premiere University of Toronto Schools Toronto, ON 450Zion Heights J.S.S. North York, ON 450

Third / Troisieme Northern S.S. Toronto, ON 444West Vancouver S.S. West Vancouver, BC 444Windfields J.H.S. North York, ON 444


CAYLEY CONTEST / CONCOURS CAYLEY


Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauTYSON ANDRE Richmond Hill H.S. Richmond Hill, ON 10DUNCAN DAUVERGNE University Hill S.S. Vancouver, BC 10ROBERT LEE Thornlea S.S. Thornhill, ON 10SIMON QUACH Gordon Graydon Memorial S.S. Mississauga, ON 10MARIYA SARDARLI McKernan J.H.S. Edmonton, AB 8RICHARD WANG Sir Winston Churchill S.S. Vancouver, BC 10DAVID XU Sir Winston Churchill S.S. Vancouver, BC 10JENNIFER YU McKernan J.H.S. Edmonton, AB 9XINGYU ZHOU Walter Murray C.I. Saskatoon, BC 10

TEAMS / EQUIPES


Champion / Premiere Sir Winston Churchill S.S. Vancouver, BC 442Second / Deuxieme Richmond Hill S.S. Richmond Hill, ON 430Third / Troisieme University of Toronto Schools Toronto, ON 428Fourth / Quatrieme Gordon Graydon Memorial S.S. Mississauga, ON 426

St. John’s-Ravenscourt School Winnipeg, MB 426

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FERMAT CONTEST / CONCOURS FERMAT


Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauJUNGHOO KIM University Hill S.S. Vancouver, BC 10ZHIQIANG LIU Don Mills C.I. North York, ON 10JULIAN SUN Sir Winston Churchill S.S. Vancouver, BC 11SIMON YIN O’Neill C.V.I. Oshawa, ON 11NOBLE ZHAI Western Canada H.S. Calgary, AB 11

TEAMS / EQUIPES


Champion / Premiere Western Canada H.S. Calgary, AB 436Second / Deuxieme University Hill S.S. Vancouver, BC 428Third / Troisieme Sir Winston Churchill S.S. Vancouver, BC 424Fourth / Quatrieme Vincent Massey S.S. Windsor, ON 418Fifth / Cinquieme Point Grey S.S. Vancouver, BC 416

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2008 FERMAT CONTEST PROVINCIAL CHAMPIONSCHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2008

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

Province Student School LocationProvince Etudiant Ecole EndroitNL ANTHONY PAYNE Pasadena Academy PasadenaNS TSE AN CHEN King’s-Edgehill School WindsorNB YOONGOO NAM St. Malachy’s H.S. Saint JohnPE SAMUEL CHEN Colonel Gray S.H.S. CharlottetownQC ILIA POLOTSKII College Jean de Brebeuf MontrealON Nord YUHAN CHEN Sir Winston Churchill C.V.I. Thunder BayON Est SIMON YIN O’Neill C.V.I. OshawaON Metro ZHIQIANG LIU Don Mills C.I. North YorkON Ouest CHEN SUN A.B. Lucas S.S. LondonON Central KULJOT ANAND Turner Fenton S.S. BramptonMB CLEMENT KWOKEN St. John’s-Ravenscourt School WinnipegMB GHAEUN LEE Balmoral Hall School WinnipegSK XINDI HU Bedford Road C.I. SaskatoonAB NOBLE ZHAI Western Canada H.S. CalgaryBC JUNGHOO KIM University Hill S.S. VancouverBC JULIAN SUN Sir Winston Churchill S.S. Vancouver

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Correct Answers Bonnes Rponses

# Pascal Cayley Fermat1 E E D2 A B A3 B C C4 C D E5 C C A6 A D E7 D A B8 A C D9 E A D

10 D C A11 A B D12 B E A13 A B B14 D A B15 E A B16 C B C17 B A A18 B C A19 D D E20 D E C21 A A A22 E D E23 D E C24 D E B25 C D D

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Pascal Contest Concours Pascal

Number of Contestants / Nombre de concurrents: 26478Average mark / Note moyenne: 87.32

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 E 2.05 0.50 0.85 1.16 94.82 0.56 95.412 A 89.61 3.61 4.11 0.85 0.18 1.58 91.103 B 8.90 87.79 0.82 1.18 0.57 0.67 88.444 C 0.70 8.27 86.40 2.05 1.26 1.25 87.565 C 1.85 1.90 77.68 14.73 2.53 1.25 78.716 A 86.04 2.81 0.95 3.93 3.64 2.56 88.367 D 2.21 1.20 3.27 91.07 0.82 1.36 92.398 A 92.61 0.87 2.44 1.06 1.63 1.32 93.929 E 15.24 5.61 5.19 3.35 65.13 5.42 68.91

10 D 13.02 12.74 3.20 53.64 5.47 11.86 60.9111 A 50.22 10.40 4.15 21.16 11.26 2.74 51.6712 B 5.44 66.84 4.95 3.27 7.00 12.44 76.3913 A 59.44 1.84 14.53 19.38 2.48 2.27 60.8614 D 3.12 1.72 3.63 74.73 6.28 10.45 83.5215 E 8.87 3.61 3.21 5.61 65.44 13.20 75.4416 C 18.08 10.19 29.76 4.69 2.85 34.36 45.3917 B 36.32 37.27 3.63 2.87 1.80 18.05 45.5118 B 3.77 58.71 16.89 10.63 2.94 7.00 63.1719 D 5.90 4.67 19.79 39.34 7.58 22.66 50.9120 D 5.45 7.29 7.18 53.94 3.49 22.60 69.7321 A 21.91 6.76 6.76 7.78 12.42 44.29 39.3922 E 10.87 7.89 12.65 8.78 16.66 43.08 29.3123 D 34.10 8.32 6.08 11.88 7.85 31.70 17.4124 D 18.74 11.36 6.44 16.22 9.37 37.82 26.1125 C 10.94 6.28 10.89 5.20 7.15 59.46 26.92

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Cayley Contest Concours Cayley




Reponse reponse reussies# A B C D E1 E 0.26 0.11 0.14 0.21 99.15 0.10 99.282 B 2.17 93.98 1.48 0.65 0.22 1.46 95.413 C 0.88 8.09 89.13 0.80 0.82 0.25 89.384 D 1.48 0.78 2.21 94.12 0.58 0.79 94.915 C 1.02 1.44 91.93 3.27 0.94 1.36 93.246 D 0.22 3.95 0.44 94.35 0.50 0.51 94.867 A 73.65 6.05 5.87 2.66 7.36 4.35 77.058 C 3.84 4.05 76.92 6.54 1.84 6.77 82.549 A 50.87 7.26 15.94 5.90 9.98 10.01 56.55

10 C 3.06 0.98 92.26 1.82 0.67 1.18 93.3911 B 3.96 80.82 4.56 2.19 1.18 7.25 87.1812 E 1.74 1.36 1.41 2.26 86.35 6.85 92.7313 B 5.85 70.22 5.13 2.97 13.07 2.73 72.2114 A 67.49 2.56 4.06 10.76 1.53 13.55 78.1115 A 59.12 15.83 3.73 2.29 3.76 15.23 69.7716 B 11.75 37.09 3.93 8.61 15.15 23.43 48.4617 A 28.67 5.23 4.92 6.91 16.82 37.40 45.8418 C 1.35 3.04 72.58 8.03 2.17 12.80 83.2619 D 30.35 8.79 2.78 26.65 7.25 24.13 35.1520 E 8.45 6.69 4.17 5.54 22.98 52.12 48.0521 A 23.13 12.00 7.68 8.82 5.32 43.00 40.6122 D 5.82 11.64 10.44 13.98 28.71 29.37 19.8023 E 5.37 21.20 13.83 6.52 6.31 46.74 11.8524 E 9.04 10.72 9.11 13.39 9.89 47.80 18.9625 D 4.81 3.94 10.38 11.19 4.56 65.07 32.08

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Fermat Contest Concours Fermat




Reponse reponse reussies# A B C D E1 D 0.68 0.20 0.75 98.06 0.13 0.15 98.242 A 87.45 1.91 9.70 0.29 0.26 0.37 87.793 C 0.20 0.10 98.60 0.42 0.46 0.20 98.824 E 0.18 1.94 0.23 0.43 97.08 0.13 97.225 A 88.29 0.84 0.41 1.93 7.99 0.52 88.776 E 0.78 1.85 1.28 8.21 86.57 1.30 87.727 B 2.15 88.26 2.56 1.16 3.71 2.15 90.218 D 1.94 0.65 2.36 83.75 4.50 6.79 89.869 D 2.16 2.67 2.22 85.27 3.56 4.10 88.93

10 A 48.75 11.41 5.80 7.61 2.32 24.10 64.2411 D 6.57 3.38 2.75 80.10 2.21 4.98 84.3112 A 69.29 3.02 9.78 9.48 2.49 5.93 73.6713 B 5.00 60.09 12.47 4.15 3.82 14.46 70.2614 B 7.20 49.17 15.03 12.37 6.00 10.21 54.7715 B 2.85 20.56 61.97 5.80 2.23 6.58 22.0116 C 6.71 5.52 47.45 7.75 9.93 22.62 61.3417 A 67.94 4.82 2.77 3.19 2.12 19.15 84.0418 A 26.68 7.31 4.82 6.77 4.56 49.84 53.2119 E 9.59 4.49 3.53 5.08 40.86 36.44 64.3020 C 4.94 7.86 33.04 9.22 5.56 39.37 54.5021 A 15.46 10.44 9.77 5.95 31.55 26.82 21.1322 E 8.88 13.01 7.46 7.86 6.90 55.88 15.6423 C 5.15 9.31 9.69 7.23 7.99 60.60 24.6124 B 11.67 6.42 5.52 6.82 2.75 66.81 19.3525 D 19.84 12.15 9.74 5.41 2.43 50.42 10.91

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Student Rankings Classements des eleves

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position150 1 1 1149148147146145 36 10144 38 11 6143142 102 34 10141140 174139 179 58138 189 59 25137 262 74136 276 81 36135 130134 368 132 60133 461 169132 476 172 82131 568 204 115130 605 213 118129 740 302 162128 773 308 165127 903 402 210126 935 406 214125 1130 499 302124 1187 517 310123 1370 621 387122 1435 652 396121 1657 792 482120 1734 813 499119 2040 1010 625118 2116 1047 643117 2373 1208 780116 2484 1255 796115 2739 1437 938114 2866 1494 971113 3213 1742 1153112 3368 1811 1206111 3714 2056 1424110 3872 2188 1487109 4227 2542 1720108 4440 2699 1802107 4841 3043 2052106 5055 3200 2155105 5456 3567 2464104 5677 3766 2568103 6103 4175 2854102 6424 4404 2997101 6857 4825 3321100 7172 5154 3512


Position Position Position99 7626 5609 381098 7960 5935 399397 8409 6389 433696 8805 6752 456395 9249 7220 487994 9632 7641 515193 10077 8107 546192 10489 8544 576891 10958 8969 604390 11358 9391 636289 11795 9758 662688 12265 10226 699687 12666 10633 733186 13076 11034 763685 13468 11408 792784 13847 11781 821283 14245 12154 851882 14667 12599 889181 15065 12955 918580 15482 13282 950379 15876 13581 975078 16260 13909 1004477 16680 14254 1035276 17072 14590 1070575 17426 14870 1095274 17763 15143 1119773 18095 15378 1141872 18421 15646 1165971 18795 15885 1193770 19104 16096 1217169 19364 16287 1236568 19628 16509 1254667 19924 16676 1273566 20228 16850 1293865 20519 16991 1315064 20762 17118 1329563 20989 17245 1344362 21210 17360 1359061 21441 17477 1374860 21666 17599 1391859 21873 17681 1404458 22053 17771 1414657 22250 17835 1424756 22421 17920 1432755 22606 17987 1442154 22773 18049 1451953 22912 18095 1459352 23056 18147 1465351 23181 18185 1471550 23304 18219 1479049 23429 18256 14848

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Student Rankings Classements des eleves


Position Position Position48 23540 18290 1489747 23638 18324 1492946 23747 18368 1497545 23854 18387 1501844 23941 18410 1505143 24026 18425 1507642 24110 18441 1511441 24190 18472 1513540 24249 18480 1516039 24307 18493 1517638 24353 18507 1518937 24397 18517 1520036 24434 18531 1521635 24491 18543 1522934 24527 18544 1524133 24561 18551 1525032 24597 18559 1525731 24628 18562 1526530 24676 18565 1527229 24702 18569 1528128 24723 18572 1528427 24737 18574 1529026 24752 18575 1529525 24769 18582 1529824 24782 18584 1530523 24795 1530622 24804 18586 1530821 24813 18588 1530920 24823 1531119 24832 1859118 24840 18593 1531217 2484616 24850 18594 1531515 2485214 15316131211 1531710 24855 153189876 24856543210

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 - 6 1430 - 439 7 - 15 2 1420 - 429 16 - 26 3 - 7 2 - 3410 - 419 27 - 61 8 - 21 4 - 7400 - 409 62 - 91 22 - 36 8 - 17390 - 399 92 - 126 37 - 57 18 - 30380 - 389 127 - 175 58 - 85 31 - 47370 - 379 176 - 220 86 - 119 48 - 72360 - 369 221 - 299 120 - 166 73 - 112350 - 359 300 - 368 167 - 219 113 - 162340 - 349 369 - 460 220 - 302 163 - 224330 - 339 461 - 566 303 - 363 225 - 299320 - 329 567 - 664 364 - 459 300 - 360310 - 319 665 - 739 460 - 575 361 - 446300 - 309 740 - 809 576 - 687 447 - 531

Number of three student teams / Nombre d’equipes de trois elevesPascal Contest / Concours Pascal : 1105Cayley Contest / Concours Cayley : 1022Fermat Contest / Concours Fermat : 1017

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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

2008Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2008Resultats

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/Ville

Rank/Rang

School/École

436Calgary1 Western Canada H.S.

428Vancouver2 University Hill S.S.

424Vancouver3 Sir Winston Churchill S.S.

418Windsor4 Vincent Massey S.S.

416Vancouver5 Point Grey Secondary School

414Richmond6 Richmond S.S.

412Waterloo7 Waterloo C.I.

408North York8 Don Mills C.I.

408Calgary8 Sir Winston Churchill H. S.

406Montreal10 E.S. St. Luc

406Coquitlam10 Pinetree S.S.

406Scarborough10 Sir John A. Macdonald C.I.

402Burnaby13 Burnaby North S.S.

402Toronto13 University of Toronto Schools

402Toronto13 Upper Can Col-Upper School

400Burnaby16 Moscrop Secondary School

400Vancouver16 St. George's School

398Vancouver18 Lord Byng S.S.

398Delta18 Seaquam S.S.

398Brampton18 Turner Fenton S.S.

398West Vancouver18 West Vancouver S.S.

396Vancouver22 Prince of Wales S.S.

396West Vancouver22 Rockridge S.S.

394Scarborough24 Agincourt C.I.

392North York25 A.Y. Jackson S.S.

392Montreal25 College Jean de Brebeuf

391Scarborough27 Woburn Collegiate Institute

390Burnaby28 Burnaby South S.S.

390West Vancouver28 Mulgrave School

390Port Moody28 Port Moody S.S.S.

388North York31 Marc Garneau C.I.

388Mississauga31 St. Francis Xavier Secondary S

386London33 A.B. Lucas S.S.

386Mississauga33 Glenforest S.S.

386Surrey33 Semiahmoo S.S.

386Hamilton33 Westdale S.S.

384Toronto37 Northern S.S.

384Edmonton37 Old Scona Academic H.S.

384Mississauga37 The Woodlands S.

384North York37 Victoria Park C.I.

383Calgary41 Queen Elizabeth H.S.

382Gloucester42 Colonel By S. S.

382Ottawa42 Lisgar C.I.

382Langley42 R.E. Mountain S.S.

381Toronto45 The Abelard School

380Surrey46 Elgin Park S.S.

380Surrey46 Fraser Heights S.S.

379Oshawa48 O'Neill C.V.I.

379Mississauga48 Streetsville S.S.

379Vancouver48 Templeton S.S.

378Oakville51 Appleby College

378Montreal51 Ecole Villa Maria

2008Fermat Contest/Concours Fermat

Team List/Palmarès d'équipes

Grade/Niveau

Location/Endroit

Name/Nom School/École

Group I/Groupe I Scores/Notes 150 - 145KIM JUNGHOO 10VancouverUniversity Hill S.S.

LIU ZHIQIANG 10North YorkDon Mills C.I.

SUN JULIAN 11VancouverSir Winston Churchill S.S.

YIN SIMON 11OshawaO'Neill C.V.I.

ZHAI NOBLE 11CalgaryWestern Canada H.S.

Group II/Groupe II Scores/Notes 144 - 139BramptonTurner Fenton S.S.ANAND KULJOT 11

WindsorVincent Massey S.S.BAN FRANK 11

Thunder BaySir Winston Churchill C.V.I.CHEN YUHAN 11

VancouverPrince of Wales S.S.KIM ERIC GS 10

VancouverPoint Grey Secondary SchoolLIN TEDDY 11

MontrealCollege Jean de BrebeufPOLOTSKII ILIA 11

RichmondRichmond S.S.QIN PAIGE 11

TorontoUniversity of Toronto SchoolsSCHNEIDER JONATHAN 10

BurnabyMoscrop Secondary SchoolSHA CATHY 11

CalgarySir Winston Churchill H. S.SHI DANNY 11

WaterlooWaterloo C.I.SONG ALEX 8

Port MoodyPort Moody S.S.S.SONG WILLIAM 11

LondonA.B. Lucas S.S.SUN CHEN 10

CalgaryWestern Canada H.S.SUN JARNO 11

CalgaryWestern Canada H.S.TIAN JACKY 11

WindsorVincent Massey S.S.WEN WEINAN PTR 11

VancouverLord Byng S.S.YANG JUSTIN 11

BurnabyBurnaby North S.S.ZHOU JONATHAN 10

VancouverUniversity Hill S.S.ZHOU YANQING 11

Group III/Groupe III Scores/Notes 138 - 13511St. Francis Xavier Secondary SAHMED ZAIN SYED Mississauga

11West Vancouver S.S.AN EUN JI West Vancouver

9Queen Elizabeth H.S.BABICH YAROSLAV Calgary

11Point Grey Secondary SchoolCHEN ANFFANY Vancouver

11Gleneagle S.S.CHEN RUIYUAN Coquitlam

11St. George's SchoolCHOI CHEUK HO Vancouver

11St. Theresa of Lisieux C.H.S.CHUNG JAEBUM Richmond Hill

11Dr. E. P. Scarlett H.S.DAVYDOVSKI ANTON Calgary

11Point Grey Secondary SchoolDU BRUCE Vancouver

11Poly. Benoit VachonGOULET VINCENT Sainte-Marie

11University Hill S.S.GU BINAN Vancouver

10Alexander Mackenzie H.S.HAN CHANGHO Richmond Hill

11E.S. St. LucHOU TUO Montreal

11Bedford Road C.I.HU XINDI Saskatoon

11A.Y. Jackson S.S.JIANG TOMMY North York

10Sir Winston Churchill S.S.KAN AROHUMAM Vancouver

11Pinetree S.S.LEE CHRIS Coquitlam

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

11David & Mary Thomson C.I.LIUZHAO KEVIN Scarborough

11Seaquam S.S.LOU WILLIAM Delta

11University Transition ProgramLU DANIEL Vancouver

11St Joseph's Morrow Park H.S.PARK SANGHEE North York

11Waterloo C.I.PENG TOM Waterloo


Student Honour Roll/Liste d'honneur d'étudiants

Group III/Groupe III Scores/Notes 138 - 13511Turner Fenton S.S.PRINS ADAM Brampton

11R.E. Mountain S.S.SHIN HYERIM Langley

11Sir Winston Churchill S.S.TANG TANYA Vancouver

11Branksome Hall SchoolTIAN XINYUE Toronto

11Woburn Collegiate InstituteWANG HANSON Scarborough

11Sir John A. Macdonald C.I.WU LEI Scarborough

11Markville S.S.WU AN RED YUFAN FRED Markham

11E.S. St. LucZHANG DAKUN Montreal

11Agincourt C.I.ZHANG EDWARD Scarborough

11Pinetree S.S.ZHANG ERIC Coquitlam

11White Oaks S.S.ZHAO DABO Oakville

11Richmond S.S.ZHOU LUSHA Richmond

Group IV/Groupe IV Scores/Notes 134 - 132ScarboroughWoburn Collegiate InstituteAHMED SHAFQAT 11

SurreyPanorama Ridge S.S.BAINS IVNEET 11

TorontoThe Abelard SchoolBALABANIAN CONNOR 10

WaterlooWaterloo C.I.BAPPI GOLAM 11

TorontoUpper Can Col-Upper SchoolBELMORE MATTHEW 11

ScarboroughSir John A. Macdonald C.I.BOFU ZHANG 11

CalgaryWestern Canada H.S.BOONE SPENCER 11

TorontoUpper Can Col-Upper SchoolCHAN PHILIP 11

CoquitlamPinetree S.S.CHEN EDWIN 11

CalgaryWestern Canada H.S.CHEN EMMA 11

MississaugaStreetsville S.S.CHEN MARK 11

WindsorKing's-Edgehill SchoolCHEN TSE AN 11

West VancouverRockridge S.S.CHIEN ALVIN 11

WaterlooWaterloo C.I.CUI NAIWEN 11

GuelphCentennial C. & V.I.DING MATTHEW 11

ScarboroughAgincourt C.I.DUAN ZHERAN 11

WindsorVincent Massey S.S.FAN JIAYIJASON 11

MississaugaGlenforest S.S.FUNG HENRY 11

VancouverSir Winston Churchill S.S.HE KEVIN 11

West VancouverWest Vancouver S.S.HINDER TRACEY 11

Richmond HillLangstaff S.S.HOH CHI 11

SquamishHowe Sound S.S.HONG YOOHWA 11

West VancouverMulgrave SchoolHU U JOEY 11

SaskatoonWalter Murray C.I.KIM HYUNGJIN 11

WaterlooSir John A. Macdonald S.S.KWEON MINSEOK 11

West VancouverMulgrave SchoolLEE INKEY 11

DeltaSeaquam S.S.LEE JET 11

VancouverSt. George's SchoolLEUNG THOMAS 11

TorontoUpper Can Col-Upper SchoolLI JIANG 11

BurnabyBurnaby Mountain S.S.MA DAVID 11

KelownaImmaculata Regional H.S.MACK RICHARD 11

SurreySemiahmoo S.S.MEI VINNY 11

CoquitlamPinetree S.S.NASSERRANJBAR ARMIN 11

MontrealHerzliah H.S. (Snowdon)NISSAN ARYEH 11

RichmondRichmond S.S.OSTROVSKY MARK 11

MontrealE.S. St. LucPANG TONG 11

BurnabyMoscrop Secondary SchoolQI LISA 11

CalgaryQueen Elizabeth H.S.QIN KARL 11

KamloopsSouth Kamloops S.S.ST JEAN CRAIG 11

SurreyElgin Park S.S.TAI DANIEL 11

NewmarketSir William Mulock S.S.TIAN RICHARD 11



Group IV/Groupe IV Scores/Notes 134 - 132BurnabyBurnaby South S.S.TUNG NATHANAEL 11

CalgarySir Winston Churchill H. S.WA NG ANNIE 11

West VancouverRockridge S.S.WOO KYONG JAE 11

North YorkMarc Garneau C.I.WU KELLY 11

CalgarySir Winston Churchill H. S.XU CHLOE 11

North YorkPeoples Christian AcademyYAO JOHN 11

MontrealEcole Villa MariaZENG LILI 11

TorontoNorthern S.S.ZHANG HELEN 11

VancouverEric Hamber S.S.ZHANG JIMMY 11

VancouverSir Winston Churchill S.S.ZHANG ROGER 11

North YorkWilliam Lyon Mackenzie C.I.ZHANG TIAN 11

VancouverSir Winston Churchill S.S.ZHANG XI JESSIE 11

CalgaryWestern Canada H.S.ZHAO JASON 11

DorvalE.S. Dorval Jean XXIIIZOU DAN 11

Group V/Groupe V Scores/Notes 131 - 126ScarboroughL'Amoreaux C.I.ANGELINA SUN 11

TorontoUniversity of Toronto SchoolsBAI ROBERT 11

North YorkA.Y. Jackson S.S.BAI YUNTAO 11

WinnipegSt. Paul's H.S.BALUTA STEFAN 11

WinnipegSt. Paul's H.S.BEAUDOIN CHRIS 11

TorontoNorthern S.S.BENSELER ANOUK 11

Saint-LambertCollege Durocher/St-LambertBERNARD ANTOINE 11

OakvilleAppleby CollegeBLEICH MADISON 11

ThornhillThornlea S.S.BO YANG 11

QuebecE.S. de RochebelleBOILY OLIVIER 11

DorvalE.S. Dorval Jean XXIIIBOJINESCU ANCA 11

WinnipegGordon Bell H.S.CAO WENBO 11

VancouverSt. George's SchoolCHAN FORSON 11

WindsorKing's-Edgehill SchoolCHANG CHE L UN 11

DeltaSouth Delta S.S.CHANG HEE JAE 11

MississaugaSt. Francis Xavier Secondary SCHAUDHURI DIPAYAN 11

DeltaSeaquam S.S.CHEN JASON 11

BurnabyBurnaby South S.S.CHEN KEVIN 11

TorontoForest Hill C.I.CHEN XINGCHEN 11

BurnabyMoscrop Secondary SchoolCHENG QIANRU 11

OakvilleAppleby CollegeCHIU JUDY 11

West VancouverWest Vancouver S.S.CHO BRIAN 11

VancouverSir Winston Churchill S.S.CHOI DENNY 11

North VancouverHandsworth S.S.CHOI INSUN 11

SurreyFraser Heights S.S.CHOI SEUNGYUN 11

RichmondJ.N. Burnett S.S.CHOW KEITH 11

CalgarySir Winston Churchill H. S.CHU JACK 11

DeltaSeaquam S.S.CHUANG JOSEPH 11

North YorkCrescent SchoolCHUN ERIC 11

MontrealE.S. St. LucCOWAN ALEXANDER 11

MontrealE.S. St. LucDAGENAIS PASCALE 11

MississaugaThe Woodlands S.DHAWAN ANDREW 11

North YorkVictoria Park C.I.DING DAVID 11

ScarboroughSir John A. Macdonald C.I.DU GEORGE 11

OttawaLisgar C.I.DU LING 11

NepeanBell H.S.DUAN MACK 11

WindsorVincent Massey S.S.DUZHOU HELEN B 11

MontrealCollege Jean de BrebeufELFASSY MARC 11

CalgaryWebber AcademyEVERTS AUSTIN 11



Group V/Groupe V Scores/Notes 131 - 126VancouverSir Winston Churchill S.S.FAN MICHELLE 11

SurreyKwantlen Park SecondaryFENG XUE 11

Belle RiverSt. Anne H.S.FRIEDL ZACHARY 11

RichmondHugh McRoberts S.S.FU VERA 10

VancouverPoint Grey Secondary SchoolGAO BOWEN 11

North YorkVictoria Park C.I.GAO RICHARD 11

VancouverPrince of Wales S.S.GAO ZHONG QI 11

SurreyTamanawisGU BOBBY 11

East YorkLeaside H.S.GU JERRY 11

HamiltonWestdale S.S.GU SHANSHAN 11

VancouverPoint Grey Secondary SchoolGU SHIXIANG 11

North YorkDon Mills C.I.GUO DANIEL 11

AuroraSt. Andrew's CollegeHAN JIHO 11

Prince AlbertCarlton Comp. H. S..HEIDEL STEVEN 11

North YorkCrescent SchoolHON KALVIN 11

RichmondRichmond S.S.HSIEH VICKY 11

DeltaSeaquam S.S.HSU DAVIS 11

SurreyFleetwood Park S.S.HU SHU FENG 11

YorkVaughan Road AcademyHUANG ANN I 11

SurreySemiahmoo S.S.HUANG ANNE 11

ThornhillSt. Robert C.H.S.HUH YULE 11

North YorkMarc Garneau C.I.IP WESLEY 11

SurreyNorth Surrey S.S.JANG HYUNJE 11

KingstonLoyalist C.&V.I.JEONG YURAK 11

Richmond HillRichmond Hill H.S.JEYAKUMARAN VITHUSHAN 11

LasalleCollege St. LouisJIANG ALEXANDRE 11

EdmontonOld Scona Academic H.S.JIANG JESSICA 11

WaterlooWaterloo C.I.JIANG YANGZI 11

HamiltonWestdale S.S.JING YIFAN 11

North VancouverArgyle S.S.KANG KEVIN 11

NipawinL.P. Miller Comp. S.KIM DANIEL 11

HalifaxHalifax West H.S.KIM HYUNG JU 11

YorkSt. Michael's College SchoolKIM SCOTT 11

StratfordStratford Central S.S.KLASSEN JAMIE 11

OakvilleIroquois Ridge H.S.KOH CLARA 11

GloucesterColonel By S. S.KOWALSKI JENNIFER 11

Qualicum BeachKwalikum S. S.KUMLIN JOEL 11

WinnipegSt. John's-Ravenscourt SchoolKWOKEN CLEMENT 11

RichmondH.J. Cambie S.S.LAM CHAPMAN 11

TorontoNorth Toronto C.I.LAM DOUGLAS 11

VancouverLittle Flower AcademyLAM EVA 11

Richmond HillHoly Trinity SchoolLEE CHRISTINA 11

CalgarySir Winston Churchill H. S.LEE DANIEL 11

HamiltonWestdale S.S.LEE DAVID 10

WinnipegBalmoral Hall SchoolLEE GHAEUN 11

Richmond HillBayview Secondary SchoolLEE OLIVIA 11

GatineauCollege St. AlexandreLESSARD ADRIEN 11

RockcliffeAshbury CollegeLEVITAN JOSH 11

ScarboroughAlbert Campbell C.I.LI BRIAN 11

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

WaterlooWaterloo C.I.LI DEREK 11

BurnabyBurnaby North S.S.LI TONY 11

St CatharinesSt. Catharines C.I. & V.S.LI XIAOYU 11

GloucesterColonel By S. S.LI ZACK 11

ScarboroughAlbert Campbell C.I.LI SO HARRISON 11

VancouverSt. George's SchoolLIM THEODORE 11

VancouverSir Winston Churchill S.S.LING FENGTING 11



Group V/Groupe V Scores/Notes 131 - 126MarkhamMilliken Mills H.S.LIU EDDY 11

VancouverPoint Grey Secondary SchoolLIU XIAO 11

ScarboroughDr. Norman Bethune C.I.MA JIANAN 11

TorontoUniversity of Toronto SchoolsMA JUDITH 11

MontrealE.S. St. LucMA STEVEN 11

West VancouverRockridge S.S.MAI WENTING 11

TorontoThe Abelard SchoolMAKAROV SERGUEI 11

Hudson HeightsWestwood H.S.MALYNOWSKY MAXYM 11

BurnabyBurnaby North S.S.MEW JUSTIN 11

WinnipegKelvin High SchoolMIN HEEJIN 11

VancouverLord Byng S.S.MOK JASON 11

BoltonHumberview S.S.MOK SOPHARAVUT 10

TorontoUniversity of Toronto SchoolsMOLEDINA ALYSSA 11

Dollard-Des-OrmeauxWest Island CollegeMOREIN JUSTIN 11

La PrairiePoly. de la MagdeleineMORVAN AUDREY 11

WinnipegFort Richmond C.I.MUNIKAR TARA 11

MississaugaGlenforest S.S.MUSLEH JOSEPH 11

Saint JohnSt. Malachy's H.S.NAM YOONGOO 11

TorontoRoyal St. George's CollegeNG ROTHMAN 11

Cobble HillFrances Kelsey S.S.OTSUKA HOSHIE 11

SherbrookeBishop's College SchoolPAO PO JUNG 11

ThornhillThornhill S.S.PARK KELLY 11

West VancouverWest Vancouver S.S.PARK TOMMY 11

TorontoUniversity of Toronto SchoolsPATEL BHAVIKA 11

ScarboroughFrancis Libermann C.H.S.PEREIRA SIOBHAN 11

GranbyEcole J.H. LeclercPHANEUF BENJAMIN 11

ScarboroughR.H. King AcademyQIAN ANGEL 11

CoquitlamPinetree S.S.RUAN YUN ZHAO 11

TorontoNorthern S.S.RUCH ELI 11

MississaugaStreetsville S.S.SEO YOUBEOM 11

MississaugaRick Hansen S. S.SHAN SOPHIE 11

SurreySemiahmoo S.S.SHANG BORIS 11

SurreySouthridge SchoolSHIM HUN 11

West VancouverWest Vancouver S.S.SHIN YOON JU 11

VictoriaClaremont S.S.SHORT GERSHMAN JESSE 11

VancouverTempleton S.S.SIU NORMAN 11

KitchenerCameron Heights C.I.SLEE SIMON 11

CalgaryWestern Canada H.S.STENHOUSE MICHAEL 11

HamiltonWestdale S.S.SU KAICHEN 11

OakvilleT.A. Blakelock H.S.SUHHYUN CHOE 11

West VancouverSentinel S.S.SUN AMY 11

Maple RidgeMeadowridge SchoolSUN JEW OO 11

NanaimoDover Bay S.S.SUN WEI 11

ThornhillThornlea S.S.TANG KENNY 11

ScarboroughSir John A. Macdonald C.I.TANG MIKE 11

TorontoNorthern S.S.TCHEBOTAREV DMITRI 11

TorontoUpper Can Col-Upper SchoolTEITEL TREVOR 11

DeltaSeaquam S.S.TONG DOMINIC 11

WaterlooWaterloo C.I.TONY SONG 11

VancouverSir Winston Churchill S.S.TSENG JASON 11

WoodbridgeEmily CarrWANG BRENT 11

EtobicokeMartingrove C.I.WANG BRIGHT 11

VancouverLord Byng S.S.WANG SHEN 10

BurnabyBurnaby Central S.S.WANG SUSAN 11

MississaugaThe Woodlands S.WANG ZHENG 11

Greenfield ParkCentennial Reg. H.S.WENG LUCIE 11

VancouverSir Winston Churchill S.S.WU DAVID 11



Group V/Groupe V Scores/Notes 131 - 126VancouverPrince of Wales S.S.WU MATTHEW 11

SurreySemiahmoo S.S.WU YU 11

GloucesterColonel By S. S.XI MENGCHEN 11

EdmontonOld Scona Academic H.S.XIA BILL 11

North YorkNorthview Heights S.S.XIE KEFAN 11

BurnabyBurnaby South S.S.XU IRIS 11

SurreyFraser Heights S.S.XU KE 11

WinnipegSt. John's-Ravenscourt SchoolXU MARK 11

EtobicokeMartingrove C.I.XU E PENG 11

EdmontonOld Scona Academic H.S.YANG DANIEL 11

MississaugaThe Woodlands S.YEE ALEX 11

TorontoUniversity of Toronto SchoolsYING LAURENCE 11

North YorkEarl Haig S.S.YOO JOSEPH 11

WinnipegShaftesbury H.S.YOUN HYUNGMUK 11

VancouverUniversity Hill S.S.YU KOMANCY 11

North YorkDon Mills C.I.YU LEWEN 11

WindsorVincent Massey S.S.ZELEMBABA DUSAN 11

WindsorVincent Massey S.S.ZGHAL OMAR 11

WindsorVincent Massey S.S.ZHANG ANQI 11

WaterlooWaterloo C.I.ZHANG BOHAN 11

OttawaLisgar C.I.ZHANG EDWARD 11

CalgaryLord Beaverbrook H. S.ZHANG GOLDEN 11

North YorkA.Y. Jackson S.S.ZHANG KATE 11

MontrealEcole Villa MariaZHANG MENG NAN 11

ScarboroughAgincourt C.I.ZHANG WUREN 11

CoquitlamPinetree S.S.ZHANG ZHEYUE 11

VancouverUniversity Hill S.S.ZHAO ERIC 11

LondonLondon Central S.S.ZHAO PEI JUN 10

TorontoUniversity of Toronto SchoolsZHOU JACK 10

West VancouverWest Vancouver S.S.ZHOU JAY 11

WinnipegGrant Park H.S.ZHOU JIANMING 11

BurnabyBurnaby North S.S.ZHUANG SELINA 10

SurreyGuildford Park S.S.ZOU RUOCHEN 11

TorontoUniversity of Toronto SchoolsZUNG JONATHAN 10



2008 Pascal Contest Concours Pascal - CEMC

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