2006 Pascal Contest Concours Pascal - CEMC · 2016-07-14 · University of Waterloo, Waterloo,...

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

2006Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2006Resultats

Concours Pascal(9e annee – Sec. III)

Concours Cayley(10e annee – Sec. IV)

Concours Fermat(11e annee – Sec. V)

C.M.C. Sponsors:CharteredAccountants

Great West Lifeand London Life

Sybase

iAnywhere Solutions

C.M.C. Supporters:

Canadian Instituteof Actuaries

Maplesoft

c©2006 Waterloo Mathematics Foundation

Competition Organization Organisation du Concours

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

Ed AndersonLloyd AucklandSteve BrownFiona DunbarJeff DunnettBarry FergusonJudy FoxSandy GrahamJudith KoellerJoanne KursikowskiAngie LapointeDean MurrayMatthew OliverLarry RiceLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga

Problems Committees / Comites des problemes

Pascal Contest / Concours Pascal

Wally Webster (Chair / president), Avon Maitland D.S.B., Seaforth, ONLloyd Auckland, Waterloo, ONMonika Khbeis, Father Michael Goetz S.S., Mississauga, ONGinger Moorey, Abbey Park H.S., Oakville, ONJim Schurter, Listowel, ONTyler Somer, Academy for Gifted Children – P.A.C.E., Richmond Hill, 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, Ottawa-Carleton D.S.B., Ottawa, ONCatherine Haines, Western Technical-Commerical School, Toronto, ONJack Koenka, Havergal College, Toronto, ON

Fermat Contest / Concours Fermat

Paul Fennell (Chair / president), London, ONCliff Lelievre, Oakville Trafalgar H.S., Oakville, ONDean Murray, 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 2006 marks the 44th 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 95.9, 95.9 and 91.4 across the three Contests. The numberof students with perfect papers on the three Contests were 23, 3 and 8. We are very pleased with these results.The overall number of students writing this year’s papers showed a small increase over that from 2005. There wasa healthy increase in International participation this year as well as some very strong results from Internationalschools.

We would like to especially thank the hard-working Problems Committees. Without their insightful and en-tertaining problems, these Contests would not be possible.

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 continued support!

Lastly, we would like to apologize for the initial difficulties we have had this year in providing results. Wewill soon be undertaking a major review of our marking process to attempt to vastly improve upon this part ofour activities for future years. Again, our apologies.

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 2006 marque la 44e 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 95,9, 95,9 et 91,4 a travers les trois Concours.Le nombre d’etudiants possedant un concours parfait etait de 23, 3 et 8. Nous sommes satisfait de ces resultats.L’ensemble du nombre de participants cette annee a montre une petite augmentation comparee a 2005. Il y avaitune bonne augmentation dans la participation internationale cette annee, de meme que quelques resultats treseleves des ecoles internationales.

Nous aimerions surtout remercier les Comites de problemes pour leur dur travail. Sans leurs problemes per-spicaces et amusants, ces Concours ne seraient 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!

Dernierement, nous aimerions nous excuser des difficultes initiales que nous avons eu cette annee a vous fournir lesresultats. Nous entreprendrons bientot une revue majeure de notre procede de correction pour tenter largementd’ameliorer cette partie de nos activites pour les annees futures. Encore, nos excuses.

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Enrollment Inscription

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

Pascal Cayley FermatNL 58 54 52NS 42 29 29NB 34 35 34PE 6 5 5QC 107 107 104ON 670 649 649MB 59 55 52SK 36 34 35AB 86 51 48BC 204 191 191YT 2 0 0International 50 53 51

Total 1354 1263 1250

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

Pascal Cayley FermatNL 1175 895 808NS 1199 734 626NB 780 640 632PE 162 68 107QC 3415 3078 2644ON 17009 13762 11523MB 1415 1006 884SK 900 724 572AB 2698 1122 865BC 6679 5705 4809YT 27 0 0International 1851 1626 1202

Total 37310 29360 24672

Total number of students enrolled / Nombre d’inscriptions individuelles: 91342

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Champions – 2006 Champions – 2006

2006 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2006

PASCAL CONTEST / CONCOURS PASCAL

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

Gold Medals School Location Grade AgeMedailles d’or Ecole Endroit Niveau AgeADRIAN BAR Sir William Mulock S.S. Newmarket, ON 9 14KEVIN CONRAD Prince Arthur J.H.S. Dartmouth, NS 9 14LOUIS HONG Waterloo C.I. Waterloo, ON 9 13PATRICIA JEE Avalon J.H.S. Edmonton, AB 9 14XUELIAN JIANG William Lyon Mackenzie C.I. North York, ON 9 14ALBERT KWON Richview C.I. Etobicoke, ON 9 15SHEN LI E.S. St-Luc Montreal, QC 9 15DI MO Queen Elizabeth H.S. Calgary, AB 8 13ADAM PRINS Turner Fenton S.S. Brampton, ON 9 14YOUBEOM SEO Streetsville S.S. Mississauga, ON 9 14JEFF SHAO Zion Heights J.H.S. North York, ON 9 14MIKE TANG Pleasant View J.H.S. North York, ON 9 15SCOTT WOLDUM Cochrane H.S. Cochrane, AB 9 14YU WU Semiahmoo S.S. Surrey, BC 9 15JONATHAN ZHOU Burnaby North S.S. Burnaby, BC 8 13ZIMU ZHU Richmond Hill H.S. Richmond Hill, ON 9 14

TEAMS / EQUIPES

School Location ScoreEcole Endroit Note

Champion / Premiere: Queen Elizabeth H.S. Calgary, AB 438Waterloo C.I. Waterloo, ON 438

Third / Troisieme Burnaby North S.S. Burnaby, BC 436Zion Heights J.H.S. North York, ON 436

Fifth / Cinquieme University of Toronto Schools Toronto, ON 433

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CAYLEY CONTEST / CONCOURS CAYLEY


Gold Medals School Location Grade AgeMedailles d’or Ecole Endroit Niveau AgeMIN BAI Western Canada H.S. Calgary, AB 10 16FANG YING CHU College St-Louis Lasalle, QC 10 15BOCHENG CUI Semiahmoo S.S. Surrey, BC 10 16PHILIP DUONG Victoria Park C.I. North York, ON 10 15FREDERIC ELBAZ Maimonide - Campus Parkhaven Cote St Luc, QC 10 15JIMMY HUA Burnaby South S.S. Burnaby, BC 10 15ADAM LESLIE Ashbury College Rockcliffe, ON 10 15YAN LI Dr. Norman Bethune C.I. Scarborough, ON 10 15YENA OH Western Canada H.S. Calgary, AB 10 15VAROON PAREKH Silverthorn C.I. Etobicoke, ON 10 15PHILIP PENG Thornhill S.S. Thornhill, ON 10 15ZHE QUAN Richmond Hill H.S. Richmond Hill, ON 10 16PETER TIAN J.N. Burnett S.S. Richmond, BC 10 15SERGIU TOARCA R.H. King Academy Scarborough, ON 10 15PHILIP VANDERVIES London District Christian S.S. London , ON 10 15HANG XIE St. John’s School Vancouver, BC 10 17ANNIE XU Old Scona Academic H.S. Edmonton, AB 10 16VICK YAO Vincent Massey S.S. Windsor, ON 10 15ANDY ZHAO Vincent Massey S.S. Windsor, ON 10 15

TEAMS / EQUIPES


Champion / Premiere: Vincent Massey S.S. Windsor, ON 428Second / Deuxieme Western Canada H.S. Calgary, AB 426

Richmond Hill H.S. Richmond Hill, ON 426Fourth / Quatrieme R.H. King Academy Scarborough, ON 418

Thornhill S.S. Thornhill, ON 418

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FERMAT CONTEST / CONCOURS FERMAT


Gold Medals School Location Grade AgeMedailles d’or Ecole Endroit Niveau AgeBORIS BRAVERMAN Sir Winston Churchill H. S. Calgary, AB 11 15LIN FEI Don Mills C.I. North York, ON 11 17JIMMY HE Seaquam S.S. Delta, BC 10 15KENT HUYNH University of Toronto Schools Toronto, ON 11 15STEVEN KARP Lord Byng S.S. Vancouver, BC 11 16GYUHYON LEE Waterloo C.I. Waterloo, ON 11 16ALEXANDER REMOROV Waterloo C.I. Waterloo, ON 10 15MAX ZHOU L’Amoreaux C.I. Scarborough, ON 11 16

TEAMS / EQUIPES


Champion / Premiere: Waterloo C.I. Waterloo, ON 444Second / Deuxieme University of Toronto Schools Toronto, ON 432Third / Troisieme Western Canada H.S. Calgary, AB 426Fourth / Quatrieme Don Mills C.I. Toronto, ON 424Fifth / Cinquieme Lord Byng S.S. Vancouver, BC 410

Sir Winston Churchill H.S. Calgary, AB 410Upper Canada College Toronto, ON 410

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2006 FERMAT CONTEST PROVINCIAL CHAMPIONSCHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2006

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

Province Student School LocationProvince Etudiant Ecole EndroitNL JANE BRODIE Holy Heart of Mary Regional H.S. St. John’sNL IAN PAYNE Pasadena Academy PasadenaNS ETHAN MACAULAY The Halifax Grammar School HalifaxNB NA YIN Fredericton H.S. FrederictonPE YUFENG CHEN Colonel Gray S.H.S. CharlottetownPE MAX LABRECH Souris Regional H.S. SourisQC JEAN MARC CAMPAGNA E.S. des Sources Dollard des OrmeauxQC VINCENT CRETE College Durocher/St-Lambert St-LambertON North MITCH DELLANDREA Bracebridge & Muskoka Lakes S.S. BracebridgeON East ZHAO LIU Glebe C.I. OttawaON Metro LIN FEI Don Mills C.I. TorontoON Metro KENT HUYNH University of Toronto Schools TorontoON Metro MAX ZHOU L’Amoreaux C.I. TorontoON Central ALLAN JIANG Oakville Trafalgar H.S. OakvilleON Central KEVIN LI Glenforest S.S. MississaugaON West GYUHYON LEE Waterloo C.I. WaterlooON West ALEXANDER REMOROV Waterloo C.I. WaterlooMB ALEXANDER HOGEVEENRUTTER J.H. Bruns C.I. WinnipegSK BOBBY XIAO Walter Murray C.I. SaskatoonAB BORIS BRAVERMAN Sir Winston Churchill H.S. CalgaryBC JIMMY HE Seaquam S.S. DeltaBC STEVEN KARP Lord Byng S.S. Vancouver

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Correct Answers Bonnes Rponses

# Pascal Cayley Fermat1 E E B2 B A B3 D A A4 A C C5 B B E6 C D A7 E C C8 A A D9 C C A

10 D B D11 B E A12 C E C13 D D A14 E D B15 E C D16 D A C17 A B D18 C D B19 A D E20 A C B21 E C E22 A A C23 C C E24 B E E25 A A D

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Pascal Contest Concours Pascal

Number of Contestants / Nombre de concurrents: 29753Average mark / Note moyenne: 95.93

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 1.66 0.57 0.68 0.26 96.38 0.46 96.822 B 3.68 84.90 7.14 0.80 2.19 1.29 86.013 D 5.08 7.40 9.33 71.20 2.32 4.67 74.694 A 91.76 4.02 1.45 0.27 0.12 2.40 94.015 B 1.25 80.01 10.08 4.30 0.98 3.38 82.826 C 6.85 2.30 76.36 2.28 10.87 1.35 77.407 E 2.41 0.82 4.31 6.94 82.01 3.52 85.008 A 73.82 3.69 5.10 8.19 2.18 7.01 79.389 C 3.59 2.67 78.99 12.01 1.10 1.65 80.31

10 D 2.84 6.72 1.55 81.58 2.33 4.99 85.8711 B 1.03 85.88 0.88 8.58 2.95 0.67 86.4612 C 3.85 3.93 78.10 3.86 3.08 7.19 84.1513 D 3.44 2.83 3.94 82.80 1.13 5.86 87.9614 E 2.73 1.27 1.59 4.43 85.49 4.48 89.5115 E 6.82 9.75 4.01 5.48 60.18 13.76 69.7816 D 9.94 13.61 31.03 19.66 21.16 4.60 20.6017 A 57.72 9.61 6.22 4.39 5.21 16.85 69.4218 C 2.25 3.99 80.89 5.85 1.21 5.81 85.8819 A 59.00 4.88 5.45 4.87 2.05 23.75 77.3820 A 23.81 7.78 11.61 7.36 17.15 32.28 35.1621 E 7.91 9.09 3.00 4.58 51.68 23.73 67.7622 A 27.37 11.08 5.05 17.25 4.91 34.33 41.6823 C 6.16 9.46 30.64 12.25 17.25 24.25 40.4424 B 5.98 14.85 14.96 15.77 18.36 30.08 21.2425 A 9.58 8.88 8.88 6.90 3.77 61.98 25.20

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Cayley Contest Concours Cayley




Reponse reponse reussies# A B C D E1 E 0.81 3.05 0.84 1.30 93.66 0.34 93.972 A 92.84 1.28 4.21 0.16 0.89 0.62 93.423 A 98.03 0.57 0.96 0.19 0.10 0.15 98.174 C 0.43 0.32 98.38 0.49 0.24 0.14 98.525 B 3.44 88.99 0.76 0.66 2.26 3.88 92.596 D 3.26 9.37 1.92 72.41 3.12 9.91 80.387 C 2.18 1.28 90.61 4.46 0.61 0.85 91.398 A 73.64 1.14 19.13 0.74 1.73 3.63 76.419 C 2.35 2.52 87.01 2.39 1.85 3.87 90.52

10 B 5.27 90.17 0.62 1.48 0.65 1.82 91.8411 E 1.32 7.92 5.02 1.36 81.01 3.37 83.8412 E 4.52 7.61 2.85 3.52 73.58 7.92 79.9013 D 3.63 2.08 11.96 67.34 0.86 14.14 78.4214 D 14.59 9.82 2.15 71.59 1.04 0.81 72.1715 C 1.76 2.16 79.56 1.64 1.78 13.09 91.5516 A 55.94 3.97 2.35 8.35 6.97 22.42 72.1117 B 2.56 80.43 1.69 2.42 1.50 11.40 90.7818 D 7.06 13.25 4.98 38.26 2.41 34.04 58.0119 D 0.89 44.23 6.11 39.80 2.92 6.05 42.3620 C 8.39 8.48 32.83 4.81 4.64 40.85 55.5021 C 5.11 4.71 18.68 5.90 4.18 61.41 48.4122 A 31.97 6.79 19.99 9.78 6.91 24.56 42.3823 C 5.66 10.91 11.24 24.28 13.15 34.75 17.2324 E 7.48 13.84 10.15 6.82 6.17 55.55 13.8725 A 7.16 7.10 6.33 6.82 8.32 64.27 20.03

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Fermat Contest Concours Fermat




Reponse reponse reussies# A B C D E1 B 0.19 96.34 2.18 0.72 0.38 0.18 96.512 B 0.27 98.65 0.10 0.40 0.15 0.43 99.083 A 94.69 0.32 3.63 0.20 0.85 0.30 94.974 C 0.49 7.05 88.15 0.81 2.49 1.01 89.065 E 1.71 2.90 0.34 0.81 91.84 2.40 94.096 A 96.55 0.51 0.60 0.31 1.27 0.77 97.307 C 1.18 3.02 82.41 7.44 0.99 4.97 86.728 D 1.58 1.20 2.84 90.90 0.67 2.81 93.539 A 76.84 4.02 2.87 7.63 3.28 5.37 81.19

10 D 1.66 23.20 2.10 49.35 7.83 15.86 58.6511 A 64.62 2.79 3.92 4.15 3.28 21.23 82.0412 C 0.93 1.56 93.07 1.51 0.71 2.22 95.1813 A 61.65 2.74 1.53 10.14 8.65 15.29 72.7914 B 11.45 75.45 3.92 1.05 0.65 7.47 81.5415 D 5.81 15.57 9.24 44.17 7.01 18.19 53.9916 C 4.11 7.40 55.57 6.56 6.02 20.35 69.7617 D 1.76 3.61 5.69 65.92 3.99 19.03 81.4218 B 4.46 48.40 4.95 12.53 5.79 23.87 63.5719 E 3.76 5.39 16.07 4.08 44.84 25.86 60.4820 B 5.12 14.45 14.03 18.58 19.70 28.13 20.1021 E 9.27 5.65 8.05 21.75 16.44 38.84 26.8722 C 5.06 11.19 12.51 27.92 10.73 32.59 18.5623 E 6.14 8.37 8.79 7.86 14.19 54.65 31.2824 E 7.47 6.81 5.10 9.01 9.23 62.39 24.5325 D 4.18 6.60 6.39 5.03 4.45 73.34 18.86

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Student Rankings Classements des eleves

Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/

Position Position Position150 1 1 1149148147146145 24144 26 4 9143142 155 23 25141 244140 245 44 36139 253 45 38138 278 46 41137 463 90 70136 482 91 74135 827 110134 829 183 112133 944 257 123132 1016 260 129131 1238 359 181130 1331 370 187129 1777 565 269128 1835 580 276127 2216 791 332126 2312 804 341125 2606 1093 458124 2777 1126 479123 3249 1466 617122 3426 1510 638121 3920 1870 743120 4106 1935 779119 4618 2448 960118 4894 2532 1012117 5357 3010 1250116 5689 3100 1313115 6213 3605 1549114 6559 3774 1652113 7166 4369 1919112 7507 4509 2080111 8080 5142 2479110 8494 5331 2616109 9063 5877 2930108 9623 6149 3148107 10213 6769 3486106 10642 7059 3753105 11207 7718 4155104 11678 7999 4441103 12203 8608 4799102 12718 8978 5108101 13238 9503 5473100 13744 9896 5842


Position Position Position99 14298 10449 625498 14760 10820 662097 15298 11345 701696 15799 11733 740695 16275 12163 776594 16815 12611 814993 17298 13054 849892 17751 13470 888791 18231 13886 926390 18624 14266 966489 19079 14585 1004988 19504 14986 1049087 19930 15372 1080586 20349 15734 1116185 20742 16051 1150584 21112 16378 1187883 21525 16683 1223282 21922 17008 1258981 22300 17327 1286480 22625 17616 1316579 22945 17898 1343478 23267 18139 1371577 23589 18422 1405076 23887 18670 1432975 24194 18912 1456274 24473 19134 1478473 24723 19341 1500072 25012 19543 1520571 25249 19739 1544270 25475 19892 1565669 25716 20059 1582268 25949 20214 1597567 26164 20371 1610966 26358 20520 1628765 26536 20655 1641964 26718 20766 1654263 26877 20867 1665962 27041 20954 1677361 27200 21073 1688160 27354 21175 1697459 27483 21255 1706758 27610 21322 1713557 27759 21397 1721256 27891 21468 1727355 28005 21540 1734054 28110 21605 1739253 28220 21658 1743852 28333 21704 1748551 28441 21750 1753550 28527 21801 1757449 28614 21855 17603

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Student Rankings Classements des eleves


Position Position Position48 28697 21887 1763347 28755 21917 1766946 28837 21954 1769545 28900 21983 1771144 28979 22006 1773643 29042 22030 1774742 29100 22057 1776141 29167 22081 1777740 29222 22103 1779139 29278 22121 1780638 29323 22135 1781637 29373 22150 1782836 29413 22170 1784435 29450 22181 1785234 29471 22196 1785933 29496 22199 1786432 29523 22212 1787331 29547 22222 1787830 29572 22230 1788329 29588 22239 1789128 29607 22247 1789327 29623 22250 1789626 29639 22260 1789725 29652 22265 1789924 29667 22271 1790123 29674 22273 1790422 29681 22276 1790721 29687 22278 1791220 29692 22281 1791619 29725 1793218 29732 22292 1793417 29738 2229316 29743 2229415 22297141312 29748 1793511 29749 2229810 22299 1793698 29753765 1793743210

N.B. These rankings pertain to ALL contestants, in-cluding international and unofficial contestants /N.B. Ces rangs se rapportent a TOUS concurrents, ycompris les concurrents internationaux et non officiels

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Team Rankings Classements des equipes

Scores/ Pascal Cayley FermatNotes Ranks/ Ranks/ Ranks/

Positions Positions Positions440 - 450 1430 - 439 1 - 17 2 - 2420 - 429 18 - 42 1 - 3 3 - 4410 - 419 43 - 92 4 - 17 5 - 7400 - 409 93 - 167 18 - 48 8 - 21390 - 399 168 - 260 49 - 92 22 - 44380 - 389 261 - 379 93 - 159 45 - 63370 - 379 380 - 489 160 - 252 64 - 105360 - 369 490 - 616 253 - 348 106 - 169350 - 359 617 - 733 349 - 462 170 - 236340 - 349 734 - 827 463 - 582 237 - 325330 - 339 828 - 921 583 - 696 326 - 430320 - 329 922 - 989 697 - 800 431 - 542310 - 319 990 - 1038 801 - 876 543 - 632300 - 309 1039 - 1079 877 - 938 633 - 736

Number of three student teams / Nombre d’equipes de trois elevesPascal Contest / Concours Pascal : 1183Cayley Contest / Concours Cayley : 1098Fermat Contest / Concours Fermat : 1060

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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

2006Results

Pascal Contest(Grade 9)

Cayley Contest(Grade 10)

Fermat Contest(Grade 11)

2006Resultats

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

Score/ScoreCity/VilleRank/Rang

School/École

444Waterloo1 Waterloo C.I.

432Toronto2 University of Toronto Schools

426Calgary3 Western Canada H.S.

424North York4 Don Mills C.I.

410Vancouver5 Lord Byng S.S.

410Toronto5 Upper Can Col-Upper School

410Calgary 5 Sir Winston Churchill H. S.

408Toronto8 Jarvis C.I.

408Delta8 Seaquam S.S.

408Windsor8 Vincent Massey S.S.

408Burnaby8 Burnaby South S.S.

404Vancouver12 Windermere S.S.

403North York13 A.Y. Jackson S.S.

402Scarborough14 Sir John A. Macdonald C.I.

402North York14 Earl Haig S.S.

402North York14 Crescent School

400Calgary 17 Queen Elizabeth H.S.

400Coquitlam17 Pinetree S.S.

400Nanaimo17 Dover Bay S.S.

400Vancouver17 Sir Winston Churchill S.S.

400Burnaby17 Burnaby Central S.S.

398Vancouver22 Magee Secondary School

398Vancouver22 Point Grey Secondary School

398Richmond Hill22 Richmond Hill H.S.

397Hamilton25 Westdale S.S.

397North York25 William Lyon Mackenzie C.I.

397North York25 York Mills C.I.

396Vancouver28 University Hill S.S.

396Scarborough28 Dr. Norman Bethune C.I.

395Vancouver30 St. George's School

394Richmond31 J.N. Burnett S.S.

394Mississauga31 Glenforest S.S.

394Halifax31 The Halifax Grammar School

394Burnaby31 Burnaby North S.S.

2006Fermat Contest/Concours Fermat

Team Honour Roll/Palmarès d'équipes

Score/ScoreCity/VilleRank/Rang

School/École

392Mississauga35 The Woodlands S.

391London 36 London Central S.S.

391Nepean36 Bell H.S.

391Montreal36 E.S. Sophie-Barat

390Oshawa39 O'Neill C.V.I.

390Richmond Hill39 Bayview Secondary School

390New Westminster39 New Westminster S.S.

390North York39 Northview Heights S.S.

389Port Moody43 Port Moody S.S.S.

388Richmond Hill44 Acad. for Gifted Children-PACE

388Montreal44 College Jean de Brebeuf

388Toronto44 North Toronto C.I.

388London 44 A.B. Lucas S.S.

387Vancouver48 Templeton S.S.

386Scarborough49 Albert Campbell C.I.

386North York49 Victoria Park C.I.

386Scarborough49 Woburn Collegiate Institute

386Cote St Luc49 Maimonide-Camp. Parkhaven

2006Fermat Contest/Concours Fermat

Team Honour Roll/Palmarès d'équipes

Grade/Niveau

Location/Endroit

Name/Nam School/École Age/Âge

Group I/Groupe I Scores/Notes 150 - 145BRAVERMAN BORIS 11Calgary Sir Winston Churchill

H. S. 15

FEI LIN 11North YorkDon Mills C.I. 17

HE JIMMY 10DeltaSeaquam S.S. 15

HUYNH KENT 11TorontoUniversity of Toronto Schools

15

KARP STEVEN 11VancouverLord Byng S.S. 16

LEE GYUHYON 11WaterlooWaterloo C.I. 16

REMOROV ALEXANDER 10WaterlooWaterloo C.I. 15

ZHOU MAX 11ScarboroughL'Amoreaux C.I. 16

Group II/Groupe II Score/Notes 144 - 143WaterlooWaterloo C.I.CAI TIANYI 1611

ScarboroughAlbert Campbell C.I.CAO TAYLOR 1610

CalgaryWestern Canada H.S.CHENG XI 1611

TorontoJarvis C.I.FU SHAOJIE 1611

WinnipegJ.H. Bruns C.I.HOGEVEENRUTTER ALEXANDER 1611

North YorkEarl Haig S.S.JEON PETER 1611

OakvilleOakville Trafalgar H.S.JIANG ALLAN 1611

MississaugaGlenforest S.S.LI KEVIN 1711

WaterlooWaterloo C.I.LI ZHE 1712

Ottawa Glebe Collegiate Institute

LIU ZHAO 1611

WaterlooWaterloo C.I.NICA MIHAI 1611

WaterlooWaterloo C.I.SAUNDERS WILLIAM 1611

North YorkCrescent SchoolTSANG GREG 1711

WaterlooWaterloo C.I.WANG DAVID 1611

CalgaryWestern Canada H.S.ZHANG LINDA 1611

VancouverPoint Grey Secondary School

ZHU HAN 1611

Group III/Groupe III Scores/Notes 142 - 13811E.S. des SourcesCAMPAGNA JEAN MARC 16Dollard des

Ormeaux11Pinetree S.S.CHAN BRIAN 16Coquitlam

11University of Toronto Schools

CHAN JASON 16Toronto

11E.S. Sophie-BaratCHARRON PHILIPPE 17Montreal

11Upper Can Col-Upper School

CHENG ALFONSO 16Toronto

2006 Fermat Student Rankings/Palmarès d'étudiants Fermat

Group III/Groupe III Scores/Notes 142 - 13811North Toronto C.I.CHENG CHRIS 16Toronto


CHIANG BRENDA 15Toronto

11Port Moody S.S.S.CHOI PETER 16Port Moody

11Ridley College CHRIS CHEN 17St Catharines

11College Durocher/St-Lambert

CRETE VINCENT 16St Lambert

11Burnaby South S.S.GUO DAVID 16Burnaby


HO PATRICIA 16Toronto

11Templeton S.S.HUANG STEVEN 17Vancouver

11London South S. S. HUMELNICU MARCEL 17London

11St. John's SchoolJOHNSON MO 17Vancouver

11Sir Allan MacNab S.S.JOO SANG HYUK 16Hamilton

11William Lyon Mackenzie C.I.

KRICHEVSKY LIUBOV 17North York

11Waterloo C.I.LANESMITH JOEL 17Waterloo

11Dover Bay S.S.LEGASSICKE ROBERT 16Nanaimo


LIU SIMU 16Toronto

11Burnaby South S.S.LU ERIC 17Burnaby


LU PETER 16Toronto

11The Halifax Grammar School

MACAULAY ETHAN 16Halifax

11Richmond Hill H.S.MOHAMEDALI HASSAN 16Richmond Hill


MOK ANTHONY 16Toronto


MONETTE ANDRE 16Toronto

11St. George's SchoolPENG DUOLI 17Vancouver

11Don Mills C.I.TONG ALICIA 17North York

11Martingrove C.I.VILIMONOVIC NIKOLA 17Etobicoke

11New Westminster S.S.WAN G XUDONG 17New Westminster

11Windermere S.S.WANG TIAN CI 16Vancouver

11Pavillon Emile LegaultWANG ZINAN 15St Laurent

11Walter Murray C.I.XIAO BOBBY 16Saskatoon

11Lord Byng S.S.XU HARRY 15Vancouver

11University Hill S.S.YANG MULIN 16Vancouver

11Western Canada H.S.YU LINDA 16Calgary

11St. Francis Xavier Secondary S

YUE HAIYANG 16Mississauga

11London Central S.S. ZHAO STEVEN 16London


Group III/Groupe III Scores/Notes 142 - 13811Sir John A. Macdonald

C.I.ZOU VICKIE 16Scarborough

Group IV/Groupe IV Scores/Notes 137 - 132MarkhamMilliken Mills H.S.SAMUEL ABE 1611

MontrealCollege Jean de BrebeufERIC AVIS 1611

Richmond HillAcad. for Gifted Children-PACE

JEFFREY BAER 1611

Granby Ecole J.-H.- Leclerc KEVEN BEA ULAC 1611

KanataEarl of March S.S.MALIK BEDRANI 1611

WaterlooWaterloo C.I.SHALEV BEN DAVID 1610

BrossardSecondaire Antoine Brossard

ISABELLE BOURDEAU 1611

KingstonFrontenac S.S.IAN CHARLESWORTH 1611

BurnabyBurnaby North S.S.KEVIN CHEN 1610

WindsorVincent Massey S.S.SHUANGXING CHEN 1611

TorontoUpper Can Col-Upper School

MICHAEL CHING 1611

MarkhamSt. Augustine C.H.S.KENNY CHOI 1611

Richmond Charles E. London S.S.ANTHONY CHUANG 1612

EdmontonHarry Ainlay H.S. CLIMENHAGA 1611

WindsorVincent Massey S.S.SEAN CRUISE 1611

RichmondRichmond S.S.DWAYNE DA SILVA 1711

BracebridgeBracebridge & Muskoka Lakes S.

MITCH DELLANDREA 1611

NewmarketSir William Mulock S.S.RUO DING 1611

VancouverSir Charles Tupper S.S.HUBERT DUAN 1611

North YorkNorthview Heights S.S.ANDY FENG 1711

CochraneCochrane H.S.DAVID FYFE 1611

CalgaryJohn Diefenbaker H.S.MING YANG GAO 16<NA>

WindsorVincent Massey S.S.ELIE GHARIB 1711

North YorkGiles School MASHA GOIKO 1611

OttawaCanterbury H.S.LEAN GU 1611


BENJAMIN GUNTON 1611

OshawaO'Neill C.V.I.ALAN GUO 1611

North YorkVictoria Park C.I.BILL GUO 1711

VancouverSir Winston Churchill S.S.

SHINE GUO 1611

Don MillsBayview Glen SchoolSURAJ GUPTA 1511

TorontoUniversity of Toronto Schools

ADAM GUTTER 1611


Group IV/Groupe IV Scores/Notes 137 - 132TorontoJarvis C.I.YUANZHENG HAN 1711

KitchenerRockway Mennonite C.I.LAURA HARE 1611

North YorkDon Mills C.I.ARTHUR HO 1611

CoquitlamPinetree S.S.IVY HSU 1711

VancouverWindermere S.S.EDWARD HUANG 1611

CoquitlamCentennial S.S.S.KEVIN HUANG 1611

St LaurentLaurenhill AcademyBRANDON HUM 1711

North YorkA.Y. Jackson S.S.JIAYANG JIANG 1611

North VancouverHandsworth S.S.WEINING JIANG 1611


AARON KATES ROSE 1611

BurnabyBurnaby Central S.S.KEVIN KIM 1711

WinnipegWestgate Mennonite C.I.KYUNG MIN KIM 1711

WindsorVincent Massey S.S.ANDY KONG 1711


ADRIAN KWOK 1611


IAN KWOK 1611

Aurora Dr. G.W. Williams S.S JEREMY LAU 1611

North YorkYork Mills C.I.STANLEY LEI 1711

TorontoJarvis C.I.BETTY LI 1711

MontrealCollege Jean de BrebeufMENGYANG LI 1611

HamiltonWestdale S.S.LIN LIU 1611

VancouverSir Winston Churchill S.S.

SOPHIA LU 1611

MississaugaThe Woodlands S.WEI LUN 1611

HalifaxQueen Elizabeth H.S.ZHE MA 1711

Liverpool Liverpool Reg. H. S. GEOFFREY MASON 1711

WaterlooWaterloo C.I.MOHAMMAD MEMARIAN 1711

CalgaryWilliam Aberhart H.S.JEFFREY MO 1611


TAISUKE NAKANO SCOTT 1711

ThornhillThornhill S.S.RICKY NGAN 1611

WaterlooWaterloo C.I.CHEN NIE 1711

WaterlooWaterloo C.I.SEAN OH 1711

HamiltonWestdale S.S.POLLY PENG 1611

NanaimoDover Bay S.S.SIWEI QU 1611

CalgarySt. Francis H.S.DAVID REDL 1712

St LambertCollege Durocher/St-Lambert

FRANCOIS SEGUIN 1711

TorontoNorth Toronto C.I.MICHAEL SEO 1711


Group IV/Groupe IV Scores/Notes 137 - 132BurnabyBurnaby Central S.S.SHU SHANG 1611

VancouverWindermere S.S.DANNY SHI 159

Calgary Queen Elizabeth H.S. EUGENE SIT 1611


STANLEY SO 1611

North YorkDon Mills C.I.YI SONG 1611

DuncanCowichan S.S.S.ANDREW STARK 1611

Calgary Queen Elizabeth H.S. DUSTIN STYNER 1611

VancouverWindermere S.S.STELLA TANG 1711

North YorkNorthview Heights S.S.SERGEY TRUNOV 1611

WinnipegSt. John's-Ravenscourt School

ERIC TSANG 1611

Calgary Queen Elizabeth H.S. MAURITS VANDERHOORN 1611

WellandNotre Dame College School

JOSEPH VELOCE 1611

NepeanBell H.S.ALAN WANG 1611

London A.B. Lucas S.S. DAVID WANG 1711

RichmondR.C. Palmer S.S.HECHENG WANG 1711

VancouverMagee Secondary SchoolHENRY WANG 1611

VancouverPoint Grey Secondary School

LUCY WANG 1611

MontrealE.S. Sophie-BaratNING NAN WANG 1711

RichmondJ.N. Burnett S.S.TED WANG 1711

BurnabyBurnaby North S.S.YI LIU WANG 1611

BurnabyBurnaby Central S.S.LEO WU 1611

ScarboroughSir John A. Macdonald C.I.

SHIRLEY WU 1711

HamiltonWestmount S.S.STEVEN WU 1510

LondonNancy Campbell C.ICHENGUANG YAN 1711

VancouverKillarney S.S.DAVID YAN 1611

RichmondJ.N. Burnett S.S.CECILIA YU 1611

Richmond HillBayview Secondary School

PHOEBE YU 1611

North YorkA.Y. Jackson S.S.ELTON ZHANG 1611


WAGO ZHENG 1611

ScarboroughDr. Norman Bethune C.I.CATHERINE ZHOU 1611

TorontoJarvis C.I.ZHI ZHOU 1711

LangleyBrookswood S.S.CYNTHIA ZHU 1611


Group V/Groupe V Scores/Notes 131 - 128Cote St LucMaimonide-Camp.

ParkhavenABRAMOV DANIEL 1711

ThornhillThornlea S.S.BAE SANDY 1711

Montreal Nord Lester B. Pearson H.S. BATELLI ALEXANDRA 1611

Cote St LucMaimonide-Camp. Parkhaven

BENHAMOU LOUISE 1611

Montreal Nord Lester B. Pearson H.S. BOUCHA D FRANCIS 1711

Dollard des Ormeaux

E.S. des SourcesBOURGEOIS SIMON 1611

Hudson HeightsWestwood H.S.BRADLEY ADRIAN 1611

VancouverPrince of Wales S.S.BYUN HEEJAE 1711

NepeanBell H.S.CAPSTICK MICHAEL 1611

VictoriaSt. Michael's Univ. School

CHAN ELTON 1711


CHAN KEVEN 1611

North York Havergal CollegeCHAN SHELLEY 1511

VancouverVancouver College H.S.CHANG JIMMY 1711

MarkhamUnionville H.S.CHANG MICHELLE 1611

BurnabyBurnaby South S.S.CHANG SABRINA 1611

BurnabyBurnaby Mountain S.S.CHEN ANGELA 1611

North YorkDon Mills C.I.CHEN LINGJUN 1510

BurnabyBurnaby North S.S.CHEN STEVEN 1610

VancouverMagee Secondary SchoolCHEN WILSON 1611

VictoriaMount Douglas S.S.CHEN YI WEI 1611

CharlottetownColonel Gray S.H.SCHEN YUFENG 1611

Richmond HillRichmond Hill H.S.CHEONG JOHNNY 1711

BurnabyBurnaby South S.S.CHOU CANDY 1611

MississaugaThe Woodlands S.CHU TOM 1611

DeltaSeaquam S.S.CHUNG JEREMY 1611

PickeringPine Ridge S.S.CLARK ALEXANDRA 1611

Calgary Sir Winston Churchill H. S.

CUI MAYLIN 1611


CUSIMANO MARIA 1711

SherbrookeSeminaire de SherbrookeDION ALEXANDRE 1611

North YorkDon Mills C.I.DZIABENKO DIMITRI 1510

TorontoUrsula Franklin AcademyFICH ERIC 1511

EtobicokeRichview C.I.FILIPPOV MIKE 1611

North York Havergal CollegeFUNG ELINOR 1511


Group V/Groupe V Scores/Notes 131 - 128HamiltonWestdale S.S.GAO LU 1611

CalgaryWestern Canada H.S.GHAFOURI SHERVIN 1611

VancouverMagee Secondary SchoolGUO XIAOYUE 1611

Port MoodyPort Moody S.S.S.HA RICHARD 1611

RussellSt. Thomas Aquinas C.H.S.

HAGIWARA SHINTARO 1711

GuelphJohn F. Ross CVIHAYES PATRICK 1611

North YorkA.Y. Jackson S.S.HE HAO OLIVIA 1611

CalgaryWestern Canada H.S.HE MATTHEW 1711


HO BERNARD 1711


HO CONRAD 1711

EdmontonOld Scona Academic H.S.HOLLOWAY GREG 1611

Calgary Centennial H.S.HU WEILONG 1711

MississaugaThe Woodlands S.HU XUA N 1611

BurnabyBurnaby North S.S.HUANG DAVID 1510

Richmond HillBayview Secondary School

HWANG JENNY 1611

NepeanBell H.S.JIN XIAOFAN 1611

BurnabyByrne Creek S.S.JUNG YEI HWAN 1711

North YorkYork Mills C.I.KANG JUEHYUNG 1611

CoquitlamPinetree S.S.KIM BEN 1611

AuroraSt. Andrew's CollegeKIM JOHN 1711

ThornhillSt. Robert C.H.S.KIM MICHAEL 1711

Souris Souris Reg. H. S LABRECH MAX 1611

MarkhamUnionville H.S.LAM MICHAEL 1611

MississaugaThe Woodlands S.LAN SHAOTIAN 1611

West Vancouver Sentinel S.S.LEE JACOB 1711

OshawaO'Neill C.V.I.LEE PAUL 1711

VancouverVancouver College H.S.LEE TED 1711


LI DAVID 1611

ScarboroughDr. Norman Bethune C.I.LI GAIL 1711

North YorkYork Mills C.I.LI JEFFREY 1611

North York Marc Garneau C.I. LI KEN 1611

HamiltonWestdale S.S.LILY LING 1711

Ottawa Nepean H. S. LIN GUXIN 1611


Group V/Groupe V Scores/Notes 131 - 128VancouverSir Winston Churchill

S.S.LIU AMIA 1611

WaterlooWaterloo C.I.LIU SIBO 1711

Richmond HillRichmond Hill H.S.LOPYRE V KONSTANTIN 1711

North YorkCrescent SchoolLUI CHRIS 1711

Mississauga Father Michael Goetz S.S.

MA ZHAO 1711


MACDONALD DAVID 1611

MississaugaStreetsville S.S.MAKAREMI SINA 1711

MississaugaThe Woodlands S.MAO YALE 1611

London London Central S.S. NEDIGER WILL 1611

Don MillsBayview Glen SchoolOH DAVID 1711

AuroraSt. Andrew's CollegeOH JUSTIN 1611

North YorkEarl Haig S.S.ONG JANN 1711

MississaugaOur Lady of Mount Carmel

PARK JESUNG 1611

St Catharines West Park S. S. PARK KYLE 1611

North YorkCrescent SchoolPARSONS BLAKE 1611

LavalCollege LavalPELLETIER MARC ANDRE 1611

North YorkDon Mills C.I.PENG GARY 1611

New WestminsterNew Westminster S.S.PERELYGIN ALEX 1511

Maple Ridge Meadowridge School PERVIS ROBERT 1611

Ottawa Nepean H. S. PLESNIK TOMAS 1611

WindsorVincent Massey S.S.QIAO XIAO 1611

WestlockR.F. Staples S.S.RAKOZ KYALL 1611

MississaugaThe Woodlands S.RAVI AAKASH 1611

WindsorVincent Massey S.S.REN CHRISTINA 1611

Richmond HillRichmond Hill H.S.REZNIKOV SERGE 1611

East York Leaside H.S. RONG ZACHARY 1611

HalifaxThe Halifax Grammar School

ROY DIBANGSHU 1611

North YorkEarl Haig S.S.RUSICIOR MIRCEA 1711

CalgarySt. Francis H.S.SAMPALEANU ALEXANDER 1711

SurreySemiahmoo S.S.SHEA ANDREW 1611

SurreyJohnston Heights J.S.S.SHI OLIVIA 1611

Williams LakeWilliams Lake S.S.SMITH JOSH 1611

MontrealE.S. Louis-RielSOKOLOV ALEXEY 1711


Group V/Groupe V Scores/Notes 131 - 128Cote St LucMaimonide-Camp.

ParkhavenSPEVAK MARINA 1711

ScarboroughWoburn Collegiate Institute

SU FANGZHOU 1611

LondonMath Challenge at Western

SUN CHEN 138

EtobicokeEtobicoke C.I.TANG KATHRYN 1611

Calgary Henry Wise Wood S.H.S TAO RENZHU 1711

VancouverDavid Thompson S.S.TIAN OWEN 1611

DeltaSeaquam S.S.TSAI JESSICA 1711

CalgaryDr. E. P. Scarlett H.S.VARSHNEY VISHAL 1611

Vancouver Eric Hamber S.S. WAN MICHAEL 1611

ScarboroughStephen Leacock C.I.WAN TONY 1611

WindsorVincent Massey S.S.WANG IVAN 1611

Port CoquitlamRiverside S.S.WANG ROB 1711

WindsorVincent Massey S.S.WENG YU 1611

VancouverMagee Secondary SchoolWHANG HOBIN 1711

North YorkA.Y. Jackson S.S.XU JEAN 1711

WinnipegKelvin High SchoolXU SHELDON 1711

WindsorVincent Massey S.S.YAMANA SEAN 1611

West VancouverWest Vancouver S.S.YANG HEESUNG 1610


YANG JISHUO 1711

London A.B. Lucas S.S. YANG PETER 1611

ScarboroughDr. Norman Bethune C.I.YANG SHERRY 1611

ScarboroughL'Amoreaux C.I.YIN JERRY 1711

FrederictonFredericton H.S.YIN NA 1711

WinnipegFort Richmond C.I.ZHANG JIAJIA 1611

BurnabyBurnaby North S.S.ZHANG JOSH 1611

North YorkWilliam Lyon Mackenzie C.I.

ZHANG LISA 1711

ScarboroughDr. Norman Bethune C.I.ZHOU VINCENT 1711

VancouverUniversity Hill S.S.ZHU HAI 1611

ScarboroughWoburn Collegiate Institute

ZHU YUJIA 1711


2006 Pascal Contest Concours Pascal - CEMC · 2016-07-14 · University of Waterloo, Waterloo,...

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