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
2007Results
Pascal Contest(Grade 9)
Cayley Contest(Grade 10)
Fermat Contest(Grade 11)
2007Resultats
Concours Pascal(9e annee – Sec. III)
Concours Cayley(10e annee – Sec. IV)
Concours Fermat(11e annee – Sec. V)
Avec la contribution de:
Sybase
iAnywhere Solutions
Comptablesagrees Maplesoft
Avec laparticipation de:
c©2007 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 BrownJennifer CoutureFiona DunbarJeff DunnettBarry FergusonJudy FoxSandy GrahamJudith KoellerJoanne KursikowskiAngie LapointeDean MurrayLarry RiceLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga
Problems Committees / Comites des problemes
Pascal Contest / Concours Pascal
Wally Webster (Chair / president), Exeter, ONLloyd Auckland, Waterloo, ONJanet Christ, Walter Murray C.I., Saskatoon, SKMonika Khbeis, Father Michael Goetz S.S., Mississauga, ONGinger Moorey, Abbey Park H.S., Oakville, ONJim Schurter, Listowel, 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, 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, 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 2007 marks the 45th 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 96.0, 90.3 and 87.7 across the three Contests. The numberof students with perfect papers on the three Contests were 31, 11 and 8, 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 2006.
After extensive review, we have spent many hours over the past year modifying and improving our processingof Contest results. We are much happier with the timeliness of this year’s results (we hope that you are too) andwill continue to try to improve this.
We would like to especially 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 insightful and entertaining problems, these Contests would not be possible.It is not easy to create problems that mostly use standard topics in non-standard ways and that are easy tounderstand, yet not too similar to problems that have appeared recently. These are just some of the issues thatmust be taken into consideration while compiling the Contests each year.
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!
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 2007 marque la 45e 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 96,0, 90,3 et 87,7 a travers les trois Concours.Le nombre d’etudiants possedant un concours parfait etait de 31, 11 et 8, en incluant des 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 2006.
Apres une revision etendue, nous avons passe beaucoup d’heures pendant l’annee modifiant notre traitementde resultats de Concours. Nous sommes beaucoup plus heureux de les resultats cette annee et continuerons aessayer de les ameliorer.
Nous aimerions surtout remercier les Comites de problemes pour leur dur travail. La plupart des membres deces Comites sont des enseignant(e)s d’ecole secondaire actifs d’un bout l’autre du Canada qui offre leur tempset contribuent des douzaines d’heures d’expertise. Sans leurs problemes perspicaces et amusants, ces Concoursne seraient pas possibles. Il n’est pas facile de creer des problemes qui utilisent surtout des themes standardsdans des facons non-standard et qui sont facile a comprendre, encore non trop semblable aux problemes qui ontapparu recemment. Ceux-ci sont juste certaines des choses qui doivent etre prises en consideration en compilantles Concours chaque annee.
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 55 54 55NS 34 24 27NB 36 37 37PE 6 5 5QC 110 108 103ON 652 641 624MB 51 48 50SK 36 35 33AB 74 53 53BC 204 189 188NU 2 2 2International 48 56 48
Total 1308 1252 1225
Number of students registered by province /Nombre d’etudiants inscrit par province
Pascal Cayley FermatNL 1040 803 757NS 857 605 674NB 686 769 573PE 171 76 108QC 3466 2815 2590ON 15963 13491 10787MB 1580 995 848SK 841 673 439AB 2483 1117 918BC 6288 5232 4678NU 15 8 6International 1824 1625 1171
Total 35214 28209 23549
Total number of students enrolled / Nombre d’inscriptions individuelles: 86972
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Champions – 2007 Champions – 2007
2007 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2007
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 NiveauTYSON ANDRE Richmond Hill H.S. Richmond Hill, ON 9ROBIN CHENG Pinetree S.S. Coquitlam, BC 9VICTOR DRAGAN Lisgar C.I. Ottawa, ON 9JAMES DUYCK Vincent Massey S.S. Windsor, ON 9GABRIEL GIRARD E.S. Sophie-Barat Montreal, QC 9BEN HU Victoria Park C.I. North York, ON 9BETTY LEUNG Gleneagle S.S. Coquitlam, BC 9FELIX LI University of Toronto Schools Toronto, ON 9KAREN LI Queen Elizabeth H.S. Calgary, AB 9FRANK LIN Ideal Mini School Vancouver, BC 9KEN MA Milliken Mills H.S. Markham, ON 9DI MO Queen Elizabeth H.S. Calgary, AB 9CELINA PARK Abbey Park H.S. Oakville, ON 9NICK PARK St. Andrew’s College Aurora, ON 9IVAN VOROBYOV William Lyon Mackenzie C.I. North York, ON 9RICHARD WANG Eric Hamber S.S. Vancouver, BC 9DRAGON WEI Burnaby South S.S. Burnaby, BC 9YU WU Henry Kelsey S.P.S. Scarborough, ON 8KARREN YANG Henry Kelsey S.P.S. Scarborough, ON 8DANIEL YOO Thornhill S.S. Thornhill, ON 9
TEAMS / EQUIPES
School Location ScoreEcole Endroit Note
Champion / Premiere Queen Elizabeth H.S. Calgary, AB 444Second / Deuxieme University of Toronto Schools Toronto, ON 438
Vincent Massey S.S. Windsor, ON 438Fourth / Quatrieme Richmond Hill H.S. Richmond Hill, ON 436Fifth / Cinquieme Victoria Park C.I. North York, ON 434
William Lyon Mackenzie C.I. North York, ON 434
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Champions – 2007 Champions – 2007
2007 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2007
CAYLEY CONTEST / CONCOURS CAYLEY
STUDENTS /ELEVESStudents are listed in alphabetical order / Les eleves sont nommes en ordre alphabetique
Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauDERRICK CHOW Brother Andre C.H.S. Markham , ON 10HENRY FUNG Glenforest S.S. Mississauga, ON 10CHAPMAN LAM H.J. Cambie S.S. Richmond, BC 10ZHIQIANG LIU Don Mills C.I. North York, ON 9JULIAN SUN Sir Winston Churchill S.S. Vancouver, BC 10JACKY TIAN Western Canada H.S. Calgary, AB 10JAMES WAN North Toronto C.I. Toronto, ON 10WEINAN WEN Vincent Massey S.S. Windsor, ON 10HYUNGMUK YOUN Shaftesbury H.S. Winnipeg, MB 10XI ZHANG Saint John H.S. Saint John, NB 9
TEAMS / EQUIPES
School Location ScoreEcole Endroit Note
Champion / Premiere Western Canada H.S. Calgary, AB 434Second / Deuxieme Vincent Massey S.S. Windsor, ON 430Third / Troisieme Iroquois Ridge H.S. Oakville, ON 428
University of Toronto Schools Toronto, ON 428Fifth / Cinquieme Academie IBN-SINA Montreal, QC 426
Don Mills C.I. North York, ON 426St. George’s School Vancouver, BC 426
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Champions – 2007 Champions – 2007
2007 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMSPALMARES INDIVIDUEL ET PALMARES PAR EQUIPE 2007
FERMAT CONTEST / CONCOURS FERMAT
STUDENTS /ELEVESStudents are listed in alphabetical order / Les eleves sont nommes en ordre alphabetique
Gold Medals School Location GradeMedailles d’or Ecole Endroit NiveauBO CHENG CUI West Vancouver S.S. West Vancouver, BC 11YUTING HUANG Johnston Heights J.S.S. Surrey, BC 11FAN JIANG Albert Campbell C.I. Scarborough, ON 11JOE KILEEL Fredericton H.S. Fredericton, NB 11DAVID LEE Hamilton District Christian H.S. Ancaster, ON 9YAN LI Dr. Norman Bethune C.I. Scarborough, ON 11XUNCHAO LIU Port Moody S.S.S. Port Moody, BC 11
TEAMS / EQUIPES
School Location ScoreEcole Endroit Note
Champion / Premiere West Vancouver S.S. West Vancouver, BC 432Second / Deuxieme Albert Campbell C.I. Scarborough, ON 430Third / Troisieme Sir Winston Churchill S.S. Vancouver, BC 426
Western Canada H.S. Calgary, AB 426Fifth / Cinquieme Dr. Norman Bethune C.I. Scarborough, ON 424
Fredericton H.S. Fredericton, NB 424
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Champions – 2007 Champions – 2007
2007 FERMAT CONTEST PROVINCIAL CHAMPIONSCHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2007
Each student below will receive a $200 prize / Chaque etudiant ci-dessous recevrait un prix de 200 $
Province Student School LocationProvince Etudiant Ecole EndroitNL JONATHAN MONG Holy Heart of Mary Regional H.S. St. John’sNS KEVIN TSAI King’s-Edgehill School WindsorNB JOE KILEEL Fredericton H.S. FrederictonPE MABEL WANG Colonel Gray S.H.S. CharlottetownQC ZHEBIN HU Ecole Internationale de Montreal MontrealON North XINYANG ZHANG Orillia D.C.V.I. OrilliaON East BILL LONG Glebe C.I. OttawaON Metro FAN JIANG Albert Campbell C.I. ScarboroughON Metro YAN LI Dr. Norman Bethune C.I. ScarboroughON Central DAVID LEE Hamilton District Christian H.S. AncasterON West YI KANG Centennial C.V.I. GuelphON West ZHE ALBERT LIANG Centennial C.V.I. GuelphMB HANEUL KIM Balmoral Hall School WinnipegSK ANDREW WANG Walter Murray C.I. SaskatoonAB YU XIANG LIU Western Canada H.S. CalgaryAB DANNY SHI Sir Winston Churchill H.S. CalgaryAB ANNIE XU Old Scona Academic H.S. EdmontonAB NELSON YAO Western Canada H.S. CalgaryBC BO CHENG CUI West Vancouver S.S. West VancouberBC YUTING HUANG Johnston Heights J.S.S. SurreyBC XUNCHAO LIU Port Moody S.S.S. Port Moody
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Correct Answers Bonnes Rponses
# Pascal Cayley Fermat1 B A E2 B C B3 A B A4 E E C5 E B A6 A D A7 A C D8 B D A9 C A C
10 E D E11 C A A12 D E B13 B A C14 D A B15 A C B16 C E A17 C C D18 D B B19 C A D20 D D E21 B C D22 E D B23 B C D24 E B C25 A E E
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Pascal Contest Concours Pascal
Number of Contestants / Nombre de concurrents: 26515Average mark / Note moyenne: 96.04
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 B 0.97 96.17 0.80 0.34 1.38 0.25 96.502 B 0.80 97.41 1.47 0.05 0.16 0.04 97.523 A 92.63 0.88 0.64 0.66 4.33 0.77 93.434 E 0.77 0.60 1.21 0.30 96.67 0.37 97.115 E 0.87 0.73 1.55 1.63 93.79 1.35 95.156 A 85.03 1.15 3.24 1.15 4.81 4.52 89.157 A 86.32 4.38 0.81 3.65 3.77 0.98 87.258 B 4.32 64.24 6.26 3.80 5.79 15.50 76.109 C 4.00 11.52 71.74 4.51 4.62 3.52 74.43
10 E 0.95 1.47 1.73 1.14 93.41 1.21 94.6411 C 1.84 11.31 76.65 5.50 1.17 3.44 79.4512 D 3.19 10.72 17.98 56.33 2.15 9.55 62.3313 B 6.63 80.70 2.58 2.90 2.45 4.65 84.7214 D 4.65 0.82 22.79 69.33 0.64 1.68 70.5815 A 83.85 4.91 3.35 2.44 1.66 3.69 87.1516 C 2.29 2.97 67.49 3.31 2.58 21.28 85.8217 C 0.94 1.72 83.64 10.62 1.82 1.17 84.7118 D 9.43 7.34 3.30 59.48 3.11 17.24 71.9619 C 19.95 5.48 28.95 7.17 6.26 32.10 42.6920 D 12.54 5.33 13.29 39.67 3.32 25.77 53.5021 B 13.95 40.84 16.98 7.66 5.30 15.18 48.2022 E 12.45 9.44 16.83 6.94 20.26 33.99 30.7323 B 45.29 8.32 6.70 7.03 1.76 30.81 12.0424 E 25.65 5.84 6.73 5.07 8.06 48.56 15.7025 A 6.48 9.60 8.67 9.82 7.20 58.15 15.51
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Cayley Contest Concours Cayley
Number of Contestants / Nombre de concurrents: 20618Average mark / Note moyenne: 90.32
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 A 97.74 1.59 0.03 0.43 0.14 0.02 97.812 C 0.12 0.56 96.30 0.64 2.12 0.20 96.553 B 1.70 95.84 1.89 0.16 0.21 0.16 96.034 E 0.35 0.37 0.74 0.91 96.71 0.87 97.615 B 2.51 88.18 0.65 5.33 0.77 2.52 90.506 D 0.35 4.54 0.97 93.37 0.56 0.16 93.577 C 0.80 8.71 84.26 3.88 0.74 1.57 85.648 D 1.53 7.53 17.72 63.81 1.90 7.46 68.999 A 76.97 4.58 3.71 3.43 5.77 5.50 81.48
10 D 7.12 2.78 1.95 76.54 7.40 4.16 79.9011 A 82.70 1.52 10.67 0.76 2.11 2.19 84.5912 E 9.53 13.50 1.77 10.60 38.78 25.78 52.2813 A 75.89 4.00 3.08 7.39 2.33 7.26 81.8814 A 60.75 3.29 6.37 4.13 2.23 23.17 79.1315 C 4.63 5.76 55.12 5.99 5.30 23.16 71.7716 E 7.54 6.05 18.88 4.64 54.17 8.67 59.3417 C 21.76 5.15 63.79 1.23 3.01 5.02 67.1918 B 6.34 35.27 6.99 5.91 4.12 41.32 60.1619 A 20.34 2.85 7.24 26.36 12.93 30.24 29.1720 D 21.00 13.86 9.26 10.76 5.38 39.69 17.8621 C 12.30 10.63 48.34 5.85 10.29 12.55 55.3022 D 9.60 14.31 19.51 19.84 3.56 33.14 29.6923 C 5.39 6.08 8.44 7.18 7.99 64.87 24.0624 B 7.38 13.09 5.84 5.79 4.42 63.43 35.8425 E 7.44 8.32 9.42 14.83 10.18 49.76 20.28
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Fermat Contest Concours Fermat
Number of Contestants / Nombre de concurrents: 16938Average mark / Note moyenne: 87.73
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 0.70 0.16 0.30 1.19 97.48 0.07 97.652 B 1.32 97.14 0.93 0.14 0.12 0.25 97.483 A 88.58 0.40 7.30 1.94 0.99 0.70 89.294 C 1.97 0.22 93.20 0.26 4.00 0.24 93.535 A 94.19 1.08 0.48 1.06 0.28 2.82 97.016 A 84.57 2.37 3.03 2.89 3.35 3.68 87.907 D 0.60 3.96 2.86 84.54 2.01 5.94 89.968 A 85.84 0.96 9.62 0.51 1.64 1.33 87.099 C 3.33 2.87 78.30 5.71 3.80 5.90 83.29
10 E 3.48 6.82 7.29 5.28 70.58 6.45 75.5311 A 84.07 2.65 2.83 1.10 4.79 4.46 88.0912 B 5.86 69.32 3.16 3.65 2.18 15.74 82.3613 C 6.58 14.31 51.85 4.91 10.36 11.90 58.9114 B 5.51 46.01 14.51 7.60 6.52 19.76 57.4015 B 10.49 22.21 8.37 10.38 17.24 31.21 32.3316 A 50.08 14.52 7.09 18.38 3.54 6.28 53.5017 D 4.58 10.86 25.38 40.41 2.17 16.51 48.4518 B 14.77 52.01 5.26 4.22 2.52 21.14 66.0219 D 0.84 1.22 18.63 43.43 5.44 30.33 62.4420 E 6.46 14.85 7.04 6.35 40.86 24.34 54.0821 D 8.77 9.95 7.83 10.10 4.55 58.70 24.5122 B 12.80 16.47 8.44 9.03 8.99 44.18 29.5523 D 9.38 8.98 8.96 7.16 4.89 60.54 18.1924 C 4.80 6.11 11.30 7.11 5.86 64.72 32.1225 E 4.75 6.44 7.24 6.16 3.87 71.43 13.60
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Student Rankings Classements des eleves
Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/
Position Position Position150 1 1 1149148147146145 21144 22 11 9143142 59 28 33141140 123 55139 125 57138 134 58 45137 245 102 98136 253 105 99135134 344 155 135133 485 209 158132 497 211 161131 678 273 230130 692 279 232129 908 370 265128 931 377 267127 1151 483 305126 1191 497 315125 1622 639 429124 1669 655 432123 1991 816 502122 2049 838 508121 2482 1053 597120 2564 1090 620119 3116 1354 823118 3191 1396 838117 3753 1657 978116 3881 1723 1003115 4423 2017 1146114 4607 2078 1187113 5255 2461 1488112 5465 2549 1514111 6141 2937 1772110 6386 3073 1825109 6956 3466 2089108 7264 3616 2183107 7918 4056 2552106 8310 4217 2624105 9035 4626 2962104 9389 4837 3067103 9999 5302 3434102 10435 5540 3584101 11034 6032 4035100 11520 6300 4227
Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/
Position Position Position99 12179 6782 466098 12614 7056 482897 13167 7513 521996 13664 7868 544095 14169 8357 586194 14746 8749 612493 15297 9241 654892 15760 9572 681191 16244 10016 719290 16690 10405 748789 17137 10793 786388 17641 11228 821687 18056 11640 866486 18468 11977 895985 18872 12344 929084 19240 12720 959283 19628 13115 994282 19979 13519 1027281 20325 13864 1061380 20673 14182 1092279 20981 14508 1122978 21264 14828 1148677 21551 15143 1178676 21794 15445 1211075 22047 15718 1239374 22288 15989 1265173 22528 16231 1290472 22730 16495 1313171 22972 16796 1336770 23186 17030 1357469 23389 17222 1376468 23574 17420 1395067 23742 17611 1412666 23933 17806 1432865 24090 17988 1452164 24231 18157 1467163 24370 18313 1480262 24498 18449 1492561 24582 18584 1507860 24694 18736 1523959 24789 18850 1534958 24898 18964 1545757 24987 19074 1554956 25066 19159 1565055 25138 19260 1573354 25212 19338 1581453 25302 19411 1587652 25362 19474 1594151 25420 19519 1599050 25476 19569 1605649 25534 19619 16097
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Student Rankings Classements des eleves
Score/ Pascal Cayley FermatNote Rank/ Rank/ Rank/
Position Position Position48 25575 19662 1613347 25626 19697 1617846 25658 19738 1621645 25699 19774 1624744 25736 19807 1627943 25763 19830 1629442 25792 19857 1631541 25822 19879 1633540 25846 19897 1635939 25863 19915 1638038 25881 19929 1639737 25891 19942 1640636 25913 19956 1642035 25927 19972 1642934 25938 19974 1643433 25951 19989 1643932 25958 19998 1644431 25970 20013 1645130 25985 20022 1645529 25989 20026 1645928 25994 20030 1646327 25997 20032 1646826 26007 20037 1647025 26015 20038 1647524 26021 20043 1647823 26022 20044 1648522 26024 20045 1648921 26027 20046 1649120 26034 20047 1649219 26036 20048 1649518 1649817 2005016 26037 2005115 1650014 2603813 260391211 1650110 2604198 2604276 26043 200535 2005443210
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 1430 - 439 2 - 10 1 - 2 1 - 2420 - 429 11 - 24 3 - 11 3 - 12410 - 419 25 - 60 12 - 20 13 - 21400 - 409 61 - 104 21 - 37 22 - 37390 - 399 105 - 160 38 - 66 38 - 52380 - 389 161 - 231 67 - 106 53 - 68370 - 379 232 - 312 107 - 154 69 - 96360 - 369 313 - 422 155 - 221 97 - 142350 - 359 423 - 543 222 - 307 143 - 192340 - 349 544 - 667 308 - 394 193 - 264330 - 339 668 - 769 395 - 499 265 - 349320 - 329 770 - 862 500 - 606 350 - 450310 - 319 863 - 943 607 - 712 351 - 547300 - 309 944 - 1013 713 - 805 548 - 638
Number of three student teams / Nombre d’equipes de trois elevesPascal Contest / Concours Pascal : 1183Cayley Contest / Concours Cayley : 1081Fermat 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
2007Results
Pascal Contest(Grade 9)
Cayley Contest(Grade 10)
Fermat Contest(Grade 11)
2007Resultats
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
432West Vancouver1 West Vancouver S.S.
430Scarborough2 Albert Campbell C.I.
426Vancouver3 Sir Winston Churchill S.S.
426Calgary3 Western Canada H.S.
424Scarborough5 Dr. Norman Bethune C.I.
424Fredericton5 Fredericton H.S.
422Montreal7 E.S. St-Luc
422Toronto7 University of Toronto Schools
420Guelph9 Centennial C. & V.I.
420West Vancouver9 Sentinel S.S.
420Calgary9 Sir Winston Churchill H. S.
420Vancouver9 St. George's School
416Westmount13 Ecole Int'l de Montreal
414Windsor14 Vincent Massey S.S.
414Saskatoon14 Walter Murray C.I.
412North York16 Don Mills C.I.
412Cote St Luc16 Maimonide-Camp. Parkhaven
412Port Moody16 Port Moody S.S.S.
412Hamilton16 Westdale S.S.
410Toronto20 Branksome Hall School
410Richmond Hill20 C.H.A.T. (Hebrew Acad.)
408North York22 A.Y. Jackson S.S.
408Burnaby22 Burnaby North S.S.
408Mississauga22 Glenforest S.S.
408Surrey22 Semiahmoo S.S.
407North York26 Marc Garneau C.I.
406Waterloo27 Waterloo C.I.
405Scarborough28 Sir John A. Macdonald C.I.
404Scarborough29 Woburn Collegiate Institute
403Vancouver30 Eric Hamber S.S.
402Burnaby31 Burnaby South S.S.
402Windsor31 King's-Edgehill School
402New Westminster31 New Westminster S.S.
402Delta31 Seaquam S.S.
402Toronto31 Upper Can Col-Upper School
400Coquitlam36 Pinetree S.S.
400Mississauga36 The Woodlands S.
398Markham38 Unionville H.S.
396Toronto39 Forest Hill C.I.
396Surrey39 Fraser Heights S.S.
396Aurora39 St. Andrew's College
395North Vancouver42 St. Thomas Aquinas H.S.
395North York42 Victoria Park C.I.
394Montreal44 Lower Canada College
394Edmonton44 Old Scona Academic H.S.
394Mississauga44 Rick Hansen S. S.
394Thornhill44 Thornhill S.S.
392North York48 Georges Vanier S.S.
392Calgary48 Queen Elizabeth H.S.
390Scarborough50 Agincourt C.I.
390North Vancouver50 Handsworth S.S.
390Richmond Hill50 Richmond Hill H.S.
2007Fermat Contest/Concours Fermat
Team List/Palmarès d'équipes
Grade/Niveau
Location/Endroit
Name/Nom School/École
Group I/Groupe I Scores/Notes 150 - 145CUI BO CHENG 11West VancouverWest Vancouver S.S.
HUANG YUTING 11SurreyJohnston Heights J.S.S.
JIANG FAN 11ScarboroughAlbert Campbell C.I.
KILEEL JOE 11FrederictonFredericton H.S.
LEE DAVID 9AncasterHamilton Dist. Christian H.S.
LI YAN 11ScarboroughDr. Norman Bethune C.I.
LIUCH O XUNCHAO 11Port MoodyPort Moody S.S.S.
Group II/Groupe II Scores/Notes 144 - 143West VancouverWest Vancouver S.S.AN EUN JI 10
TorontoForest Hill C.I.BAO JIXIN 11
ScarboroughAlbert Campbell C.I.CAO TAYLOR 11
MississaugaGlenforest S.S.CHEN PHILIP 11
FrederictonFredericton H.S.GAO BOSHEN 11
TorontoBranksome Hall SchoolHSU EMI LY 11
WestmountEcole Int'l de MontrealHU ZHEBIN 11
North VancouverSt. Thomas Aquinas H.S.JEONG SANGYEOB 11
VancouverSt. George's SchoolJINGYUAN MO 11
GuelphCentennial C. & V.I.KANG YI 11
GuelphCentennial C. & V.I.LIANG ZHE ALBERT 11
CalgaryWestern Canada H.S.LIU YU XIANG 11
VancouverSir Winston Churchill S.S.LONG ALAN 11
North YorkMarc Garneau C.I.LUNG BENSON 11
BurnabyBurnaby South S.S.MEEHAN CONNOR 11
West VancouverSentinel S.S.PAN RAINYN 11
AuroraSt. Andrew's CollegeSEO CALVIN 11
CalgarySir Winston Churchill H. S.SHI DANNY 10
SaskatoonWalter Murray C.I.WANG ANDREW 11
SurreySemiahmoo S.S.WANG GUAN ZHONG 11
SurreyLord Tweedsmuir S.S.S.WU SHENGYI 11
EdmontonOld Scona Academic H.S.XU ANNIE 11
CalgaryWestern Canada H.S.YAO NELSON 11
VancouverSir Winston Churchill S.S.ZHAO TOM 11
Group III/Groupe III Scores/Notes 142 - 13811University of Toronto SchoolsBAE HYEON JIN Toronto
11Waterloo C.I.BEN DAVID SHALEV Waterloo
11Maimonide-Camp. ParkhavenBITTON JESSICA Cote St Luc
10St. Clair S.S.CARPANI WARREN Sarnia
11St. George's SchoolCHA KYUYONG Vancouver
11Sir Winston Churchill H. S.CHEN ALEX Calgary
11H.D. Stafford S.S.CHEN JASON Langley
11H.B. Beal S.S.CHEN YUNCHUAN London
11Saint John H.S.CHO EDWARD Saint John
11Don Mills C.I.DZIABENKO DIMITRI North York
11Upper Can Col-Upper SchoolERLICHMAN JONATHAN Toronto
11Sir Winston Churchill H. S.FENG VICTOR Calgary
11Handsworth S.S.HAN KYOUNGSOO North Vancouver
11Point Grey Secondary SchoolHUANG EVA Vancouver
11Burnaby North S.S.JIN TONY Burnaby
11Pinetree S.S.JUN HEE WOO Coquitlam
2007Fermat Contest/Concours Fermat
Student Honour Roll/Liste d'honneur d'étudiants
Group III/Groupe III Scores/Notes 142 - 13811Eric Hamber S.S.LAW SIMON Vancouver
11E.S. St-LucLEDUC TONG THIEN KIM Montreal
11Monarch Park CILI FELIX Toronto
11Sir Winston Churchill S.S.LI JOEL Vancouver
11Vincent Massey S.S.LI YIFAN Windsor
11Vincent Massey S.S.LIN SUNNY Windsor
11Westdale S.S.LIU LINGFEI Hamilton
11Sir Winston Churchill S.S.LIU RICHARD Vancouver
11Sentinel S.S.LIU YINGNA West Vancouver
11Glebe Collegiate InstituteLONG BILL Ottawa
11A.Y. Jackson S.S.LU LUCY North York
11New Westminster S.S.LUO HUILI New Westminster
11Kells AcademyLVOV NIKITA Montreal
11Northview Heights S.S.MANSOURI MOHAMMADSA North York
11E.S. St-LucMITRIC CRISTINA Montreal
11Lower Canada CollegeMORRISSEY ROBERT Montreal
11Unionville H.S.ORMROD NICHOLAS Markham
11Sir Winston Churchill S.S.PANG BILL Vancouver
10West Vancouver S.S.PARK TOMMY West Vancouver
11Maimonide-Camp. ParkhavenREICHHARDT IDAN Cote St Luc
11William Lyon Mackenzie C.I.REMOROV ALEXANDER North York
9University of Toronto SchoolsSCHNEIDER JONATHAN Toronto
11University of Toronto SchoolsSO NATHANIEL Toronto
11Charles E. London S.S.SONG WILLIAM Richmond
10Dr. Norman Bethune C.I.SUN CECELIA Scarborough
11Burnaby North S.S.TANG ALARICA Burnaby
11Rick Hansen S. S.TANG RUI Mississauga
11A.Y. Jackson S.S.TANG ZIQING North York
11C.H.A.T. (Hebrew Acad.)TERYOHIN MICHAEL Richmond Hill
11St. George's SchoolTSAI GEORGE Vancouver
11King's-Edgehill SchoolTSAI KEVIN Windsor
11London Dist. Christian S.S.VANDERVIES PHILIP London
10New Westminster S.S.WANG ANTONIO New Westminster
11Western Canada H.S.WANG MATTHEW Calgary
11Alpha S.S.WANG SUNNY Burnaby
11Westdale S.S.WANG WENDY Hamilton
11Seaquam S.S.WEN CHRISTINE Delta
11University Transition ProgramWONG EDDIE Vancouver
10A.B. Lucas S.S.WONG MING JINQ London
11Westmount S.S.WU STEVEN Hamilton
11Vincent Massey S.S.YEDNOROZ COREY Windsor
11Walter Murray C.I.YIN WENBO Saskatoon
11Princess Margaret S.S.S.YOO SABRINA Surrey
11University of Toronto SchoolsYU ANTHONY Toronto
11The Woodlands S.YUAN LEO Mississauga
11Westwood Community H.S.YUAN LUCY Ft McMurray
11Sir John A. Macdonald C.I.ZHANG TERRY Scarborough
11Glenforest S.S.ZHANG XIAOYU Mississauga
11E.S. St-LucZHAO QIAN NI Montreal
Group IV/Groupe IV Scores/Notes 137 - 134West VancouverCollingwood SchoolAHN TAEHYUN 11
MontrealE.S. St-LucBABAKARKHIL NAZIR 11
Richmond HillC.H.A.T. (Hebrew Acad.)BERGER GIDEON 11
WindsorKing's-Edgehill SchoolCHAKM AN CHAN 11
2007Fermat Contest/Concours Fermat
Student Honour Roll/Liste d'honneur d'étudiants
Group IV/Groupe IV Scores/Notes 137 - 134North YorkDon Mills C.I.CHEN JENNY 11
Thunder BaySir Winston Churchill C.V.I.CHEN YUHAN 10
TorontoUniversity of Toronto SchoolsCHI ERNEST 11
WestmountEcole Int'l de MontrealDENOTKINE ILIA 11
Cote St LucMaimonide-Camp. ParkhavenELBAZ FREDERIC 11
WaterlooWaterloo C.I.GU MING 11
ScarboroughWoburn Collegiate InstituteGURUGANESH GURU 11
North YorkMarc Garneau C.I.HAN CLAI R 11
SurreyFraser Heights S.S.HSU JACKY 11
ScarboroughWoburn Collegiate InstituteING COLMAN 11
OakvilleAppleby CollegeJANG HONG JU 11
MontrealE.S. St-LucJIA SIHANG 11
WaterlooWaterloo C.I.JIANG YANGZI 10
MontrealE.S. Louis-RielJU HONGFEI 11
HamiltonWestdale S.S.KAMATH GAUTAM 11
West VancouverWest Vancouver S.S.KATO TIMOTHY 11
North YorkYork Mills C.I.KIM DOYOON 11
WinnipegBalmoral Hall SchoolKIM HANEUL 10
West VancouverSentinel S.S.KIM WOOJIN 11
LavalEcole d'ed. Int'l de LavalLAVIER THIERRY 11
HamiltonHillfield-Strathallan ColLI CALVIN 11
ScarboroughDr. Norman Bethune C.I.LI NINGCHENG 11
MontrealE.S. Honore-MercierLI RAN 11
CalgaryQueen Elizabeth H.S.LOO MICHAEL 11
North YorkVictoria Park C.I.LOU DAVID 11
OshawaEastdale C.V.I.MA FRANK 11
WestmountEcole Int'l de MontrealMA NAI 11
CalgarySir Winston Churchill H. S.MENG LIZ 11
St John'sHoly Heart of Mary Reg. H.S.MONG JONATHAN 11
TorontoBranksome Hall SchoolNG ANDREA 11
North YorkDon Mills C.I.NI COLIN 11
TorontoUniversity of Toronto SchoolsPATEL NAYAN 11
ThornhillThornhill S.S.PENG PHILIP 11
VancouverSir Winston Churchill S.S.QIAO GRACE 11
WaterlooWaterloo C.I.SONG TIAN 11
MontrealLoyola H.S.STERN KEVIN 11
North VancouverSt. Thomas Aquinas H.S.SUNG JOONHO 11
Richmond HillC.H.A.T. (Hebrew Acad.)TOBY JACLYN 11
ScarboroughWoburn Collegiate InstituteWANG MATTHEW 11
BrightonEast Northumberland S.S.WHANG JUNHO 11
VancouverSir Winston Churchill S.S.WONG BRAYDEN 11
TorontoUniversity of Toronto SchoolsWONG CECILLIA 11
EdmontonTempo SchoolWONG MICHAEL 11
ScarboroughSir John A. Macdonald C.I.WU YI 11
MarkhamUnionville H.S.XIONG EMILY 11
Port MoodyPort Moody S.S.S.YAN GARY 11
West VancouverWest Vancouver S.S.YAN G HEESUNG 11
WindsorVincent Massey S.S.YAO VICK 11
OshawaO'Neill C.V.I.YIN SIMON 10
VancouverSt. George's SchoolYU SUNGHYUN 11
BurnabyBurnaby South S.S.ZHANG JONATHAN 11
OrilliaOrillia D.C.&V.I.ZHANG XINYANG 11
North YorkGeorges Vanier S.S.ZHAO CHENG 11
ThornhillThornhill S.S.ZHOU YI 11
ScarboroughAlbert Campbell C.I.ZHU YANG 11
2007Fermat Contest/Concours Fermat
Student Honour Roll/Liste d'honneur d'étudiants
Group IV/Groupe IV Scores/Notes 137 - 134WestmountWestmount High SchoolZIQI SONG 11
Group V/Groupe V Scores/Notes 133 - 130ScarboroughWoburn Collegiate InstituteAKAOKA KEVIN 11
MontrealE.S. St-LucASCAH GABRIELLE 11
CalgaryWestern Canada H.S.BAI MIN 11
TorontoUpper Can Col-Upper SchoolCHAN ALVIN 11
CalgaryDr. E. P. Scarlett H.S.CHEN HENRY 11
VancouverCrofton House SchoolCHEN KELLEY 11
BurnabyBurnaby North S.S.CHEN PETER 11
TorontoUniversity of Toronto SchoolsCHEN SIMON 11
CoquitlamPinetree S.S.CHEN SIMON 11
BurnabyBurnaby North S.S.CHEN STEVEN 11
OakvilleT.A. Blakelock H.S.CHOE SUHHYUN 10
LasalleCollege St-LouisCHU FANG YING 11
Mill BayBrentwood College SchoolCHUA OPHELIA 11
Cote St LucMaimonide-Camp. ParkhavenCOHEN MARC 11
NewmarketNewmarket H.S.CURCIO ALISON 11
Richmond HillLangstaff S.S.DONG MIN 11
North YorkGeorges Vanier S.S.EASWARAN SIVATHANUS 11
CalgaryJohn Diefenbaker H.S.GAO TRACY 11
ScarboroughWoburn Collegiate InstituteGOLENDUKHIN LEVON 11
TorontoBranksome Hall SchoolGUO FLORENCE 11
TorontoUpper Can Col-Upper SchoolHA AUSTIN 11
TorontoUpper Can Col-Upper SchoolHAN ANDY 11
VancouverMagee Secondary SchoolHAN DAVID 11
WinnipegBalmoral Hall SchoolHAN SOLA 11
CoquitlamGleneagle S.S.HSU PO CHEN 11
SurreySemiahmoo S.S.HU MING YU 11
WestmountEcole Int'l de MontrealHU ZHEPING 11
VancouverSir Winston Churchill S.S.HUANG ERIC 11
ScarboroughAgincourt C.I.HUANG JACKSON 10
CalgaryJohn Diefenbaker H.S.HUDSON TAYLOR 11
Richmond HillLangstaff S.S.JEON YONGSUK 11
TorontoUniversity of Toronto SchoolsJIA ERIC 11
TorontoForest Hill C.I.JIANG ZIRAN 11
Richmond HillRichmond Hill H.S.KIM DAVID 11
North VancouverHandsworth S.S.KIM EUNICE 11
BurlingtonRobert Bateman H.S.KIM JAYMIN 11
West VancouverCollingwood SchoolKIM LUKE 11
ThornhillThornlea S.S.KIM RACHEL 11
SurreyPacific AcademyKIM SUJIN 11
WhitbySinclair S.S.KROLYK SEAN 11
North YorkCrescent SchoolKWOK SHELDON 11
MississaugaThe Woodlands S.LAN BRUCE 11
GuelphCentennial C. & V.I.LAWSON CHRISTOPHE 11
ThornhillVaughan S.S.LE MICHAEL 11
Richmond HillSt. Theresa of Lisieux C.H.S.LEE TAEHYUNG 11
CoquitlamPinetree S.S.LEI RICHARD 11
VancouverSir Winston Churchill S.S.LI CHAO C 11
SaskatoonWalter Murray C.I.LI DALI 11
ReginaCampbell C.I.LI ZHEYANG 11
SurreySemiahmoo S.S.LIANG STEPHEN 11
Richmond HillRichmond Hill H.S.LIN XIAO 11
VancouverSir Winston Churchill S.S.LIU ERIC 11
2007Fermat Contest/Concours Fermat
Student Honour Roll/Liste d'honneur d'étudiants
Group V/Groupe V Scores/Notes 133 - 130WindsorVincent Massey S.S.LIU SHALON 11
HalifaxHalifax West H.S.LU CHARLES 11
WindsorVincent Massey S.S.LU WENJUAN 11
WestmountMiss Edgar and Miss Cramp'sMACDONALD ALEX 11
North YorkGeorge S. Henry AcademyMAO BRIAN 11
MontrealLower Canada CollegeMCALLISTER MATTHEW 11
VancouverSt. George's SchoolNAM SEUNG 11
MississaugaThe Woodlands S.NGUYEN THANH 11
VancouverSt. George's SchoolOH JUNTAEK 11
LangleyR.E. Mountain S.S.PARK JASON 11
GloucesterColonel By S. S.PETERSONS OSKAR 11
BurnabyBurnaby North S.S.QUONG WHITNEY 11
BurnabyBurnaby Central S.S.RAGUNATHAN NIGASAN 11
TorontoUpper Can Col-Upper SchoolROBINSON LUC 11
HalifaxThe Halifax Grammar SchoolSADEK JOSEPH 11
MontrealE.S. St-LucSCHVARZMAN EVGENI 11
VancouverCrofton House SchoolSHAO NAOMI 11
North YorkVictoria Park C.I.SHI BOZHAN 11
MontrealVilla MariaSHI GE 11
WinnipegSt. John's-Ravenscourt SchoolSIGURDSON MATTHEW 11
VancouverEric Hamber S.S.SON JANGWAN 11
VancouverUniversity Hill S.S.SU CECILIA 11
LondonA.B. Lucas S.S.SUN CHEN 9
RichmondJ.N. Burnett S.S.TIAN PETER 11
RichmondRichmond S.S.TSAI YITING 11
DeltaBurnsview Secondary SchoolTSAO STEVEN 11
Greenfield ParkCentennial Reg. H.S.TSAY TIMOTHY 11
VancouverSt. George's SchoolTSENG SIMON 11
SurreyFraser Heights S.S.VANDERHOUT RUSSELL 11
MontrealE.S. St-LucVILLAMOR ROSE 11
ScarboroughAgincourt C.I.WAN JEFFREY 10
CalgaryQueen Elizabeth H.S.WANG RAYMOND 11
WaterlooWaterloo C.I.WANG SHAWN 11
TorontoUniversity of Toronto SchoolsWEEKES GEORGE 11
DeltaSeaquam S.S.WILLIAM LOU 11
WindsorKing's-Edgehill SchoolWOLF CHRISTIAN 11
VancouverEric Hamber S.S.WONG VINCENT 11
VancouverLord Byng S.S.XU HARRY 11
DeltaSeaquam S.S.YA XIAOCHEN 11
North YorkA.Y. Jackson S.S.YAN ALLAN 11
VictoriaLambrick ParkYANG JAMES 11
OttawaLisgar C.I.YANG TIANQING 11
FrederictonFredericton H.S.YOON JOHN 11
VancouverSir Winston Churchill S.S.YU PHOEBE 11
WaterlooWaterloo C.I.YU WEI JIE 11
MontrealE.S. St-LucZEGHOUATI AMAR 11
ScarboroughAlbert Campbell C.I.ZHANG BEN YUAN 11
FrederictonFredericton H.S.ZHANG BUSHI 11
MontrealE.S. St-LucZHANG JUN NAN 11
WindsorVincent Massey S.S.ZHANG QI 11
WindsorVincent Massey S.S.ZHANG SIMONE 11
TorontoJarvis C.I.ZHANG YUKUN 11
TorontoBloor C. I.ZHOU HAO 11
SaskatoonWalter Murray C.I.ZHU DAVID 11
VancouverLord Byng S.S.ZOU HUI 11
2007Fermat Contest/Concours Fermat
Student Honour Roll/Liste d'honneur d'étudiants