2007 Results Pascal Contest Cayley Contest Fermat
Transcription
2007 Results Pascal Contest Cayley Contest Fermat
Concours canadien de mathématiques Canadian Mathematics Competition Une activité du Centre d’éducation en mathématiques et en informatique, Université de Waterloo, Waterloo, Ontario An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2007 Results 2007 Résultats Pascal Contest Concours Pascal (9e année – Sec. III) (Grade 9) Cayley Contest Concours Cayley (10e année – Sec. IV) (Grade 10) Fermat Contest Concours Fermat (11e année – Sec. V) (Grade 11) Avec la participation de: Avec la contribution de: Sybase iAnywhere Solutions Comptables agréés Maplesoft 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 mathématiques Ed Anderson Lloyd Auckland Steve Brown Jennifer Couture Fiona Dunbar Jeff Dunnett Barry Ferguson Judy Fox Sandy Graham Judith Koeller Joanne Kursikowski Angie Lapointe Dean Murray Larry Rice Linda Schmidt Kim Schnarr Jim Schurter Carolyn Sedore Ian VanderBurgh Troy Vasiga Problems Committees / Comités des problèmes Pascal Contest / Concours Pascal Wally Webster (Chair / président), Exeter, ON Lloyd Auckland, Waterloo, ON Janet Christ, Walter Murray C.I., Saskatoon, SK Monika Khbeis, Father Michael Goetz S.S., Mississauga, ON Ginger Moorey, Abbey Park H.S., Oakville, ON Jim Schurter, Listowel, ON Tyler Somer, Kitchener, ON Anna Spanik, Halifax West H.S., Halifax, NS Cayley Contest / Concours Cayley Jeff Anderson (Chair / président), Forest Heights C.I., Kitchener, ON Tom Barker, Stratford Central S.S., Stratford, ON Charlotte Danard, Branksome Hall, Toronto, ON Shawn Godin, Cairine Wilson S.S., Orleans, ON Catherine Haines, Western Technical-Commerical School, Toronto, ON Jack Koenka, Havergal College, Toronto, ON Fermat Contest / Concours Fermat Paul Fennell (Chair / président), London, ON Fiona Dunbar, University of Waterloo, Waterloo, ON Cliff Lelievre, Oakville Trafalgar H.S., Oakville, ON Dean Murray, Waterloo, ON Alexandru Pintilie, Crescent School, Toronto, ON Dan Schnabel, Vaughan S.S., Thornhill, ON David Shepherd, Collingwood C.I., Collingwood, ON 2 Foreword Avant-Propos The Centre for Education in Mathematics and Computing is proud to once again be the major sponsor of the Canadian Mathematics Competition this year. The year 2007 marks the 45th year of Contests produced by the Canadian Mathematics Competition. Our congratulations go to all who participated in this year’s Pascal, Cayley and Fermat Contests. This year’s Contests were resounding successes, with average of 96.0, 90.3 and 87.7 across the three Contests. The number of students with perfect papers on the three Contests were 31, 11 and 8, including International and Unofficial competitors. We are very pleased with these results. The overall number of students writing this year’s papers showed a small decrease over that from 2006. After extensive review, we have spent many hours over the past year modifying and improving our processing of Contest results. We are much happier with the timeliness of this year’s results (we hope that you are too) and will continue to try to improve this. We would like to especially thank the hard-working Problems Committees. Most of the members of these Committees are active secondary school teachers from across Canada who volunteers their time and contribute dozens of 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 to understand, yet not too similar to problems that have appeared recently. These are just some of the issues that must 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 provided you with some interesting mathematics to think about and play with. Thank you for your continued support! Le Centre d’éducation en mathématiques et en informatique à encore une fois le plaisir d’être un majeur supporter du Concours canadien de mathématiques. L’année 2007 marque la 45e année de concours produit par le Concours canadien de mathématiques. Nos félicitations vont à tous les participants du Concours Pascal, Cayley et Fermat de cette année. Les Concours de cette année retentissaient de succès, avec des moyennes de 96,0, 90,3 et 87,7 à travers les trois Concours. Le nombre d’étudiants possédant un concours parfait était de 31, 11 et 8, en incluant des concurrents internationaux et non officiels. Nous sommes satisfait de ces résultats. L’ensemble du nombre de participants cette année a montré une petite diminution comparée à 2006. Après une révision étendue, nous avons passé beaucoup d’heures pendant l’année modifiant notre traitement de résultats de Concours. Nous sommes beaucoup plus heureux de les résultats cette année et continuerons à essayer de les améliorer. Nous aimerions surtout remercier les Comités de problèmes pour leur dur travail. La plupart des membres de ces Comités sont des enseignant(e)s d’école secondaire actifs d’un bout l’autre du Canada qui offre leur temps et contribuent des douzaines d’heures d’expertise. Sans leurs problèmes perspicaces et amusants, ces Concours ne seraient pas possibles. Il n’est pas facile de créer des problèmes qui utilisent surtout des thèmes standards dans des façons non-standard et qui sont facile à comprendre, encore non trop semblable aux problèmes qui ont apparu récemment. Ceux-ci sont juste certaines des choses qui doivent être prises en considération en compilant les Concours chaque année. Nous aimerions remercier aussi tous les participants incluant les enseignants et les étudiants. Nous espérons que les concours vous ont offert des mathématiques intéressantes qui vous ont amusées et portées à réfléchir. Merci pour votre soutien continué! 3 Enrollment Inscription Number of schools registered by province / Nombre d’écoles inscrit par province NL NS NB PE QC ON MB SK AB BC NU International Total Pascal 55 34 36 6 110 652 51 36 74 204 2 48 Cayley 54 24 37 5 108 641 48 35 53 189 2 56 Fermat 55 27 37 5 103 624 50 33 53 188 2 48 1308 1252 1225 Number of students registered by province / Nombre d’étudiants inscrit par province NL NS NB PE QC ON MB SK AB BC NU International Pascal 1040 857 686 171 3466 15963 1580 841 2483 6288 15 1824 Cayley 803 605 769 76 2815 13491 995 673 1117 5232 8 1625 Fermat 757 674 573 108 2590 10787 848 439 918 4678 6 1171 Total 35214 28209 23549 Total number of students enrolled / Nombre d’inscriptions individuelles: 86972 4 Champions – 2007 Champions – 2007 2007 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARÈS INDIVIDUEL ET PALMARÈS PAR ÉQUIPE 2007 PASCAL CONTEST / CONCOURS PASCAL STUDENTS /ÉLÈVES Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabetique Gold Medals Médailles d’or TYSON ANDRE ROBIN CHENG VICTOR DRAGAN JAMES DUYCK GABRIEL GIRARD BEN HU BETTY LEUNG FELIX LI KAREN LI FRANK LIN KEN MA DI MO CELINA PARK NICK PARK IVAN VOROBYOV RICHARD WANG DRAGON WEI YU WU KARREN YANG DANIEL YOO School École Richmond Hill H.S. Pinetree S.S. Lisgar C.I. Vincent Massey S.S. E.S. Sophie-Barat Victoria Park C.I. Gleneagle S.S. University of Toronto Schools Queen Elizabeth H.S. Ideal Mini School Milliken Mills H.S. Queen Elizabeth H.S. Abbey Park H.S. St. Andrew’s College William Lyon Mackenzie C.I. Eric Hamber S.S. Burnaby South S.S. Henry Kelsey S.P.S. Henry Kelsey S.P.S. Thornhill S.S. Location Endroit Richmond Hill, ON Coquitlam, BC Ottawa, ON Windsor, ON Montreal, QC North York, ON Coquitlam, BC Toronto, ON Calgary, AB Vancouver, BC Markham, ON Calgary, AB Oakville, ON Aurora, ON North York, ON Vancouver, BC Burnaby, BC Scarborough, ON Scarborough, ON Thornhill, ON Grade Niveau 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 TEAMS / ÉQUIPES Champion / Première Second / Deuxième Fourth / Quatrième Fifth / Cinquième School École Queen Elizabeth H.S. University of Toronto Schools Vincent Massey S.S. Richmond Hill H.S. Victoria Park C.I. William Lyon Mackenzie C.I. Location Endroit Calgary, AB Toronto, ON Windsor, ON Richmond Hill, ON North York, ON North York, ON 5 Score Note 444 438 438 436 434 434 Champions – 2007 Champions – 2007 2007 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARÈS INDIVIDUEL ET PALMARÈS PAR ÉQUIPE 2007 CAYLEY CONTEST / CONCOURS CAYLEY STUDENTS /ÉLÈVES Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabetique Gold Medals Médailles d’or DERRICK CHOW HENRY FUNG CHAPMAN LAM ZHIQIANG LIU JULIAN SUN JACKY TIAN JAMES WAN WEINAN WEN HYUNGMUK YOUN XI ZHANG School École Brother Andre C.H.S. Glenforest S.S. H.J. Cambie S.S. Don Mills C.I. Sir Winston Churchill S.S. Western Canada H.S. North Toronto C.I. Vincent Massey S.S. Shaftesbury H.S. Saint John H.S. Location Endroit Markham , ON Mississauga, ON Richmond, BC North York, ON Vancouver, BC Calgary, AB Toronto, ON Windsor, ON Winnipeg, MB Saint John, NB Grade Niveau 10 10 10 9 10 10 10 10 10 9 TEAMS / ÉQUIPES Champion / Première Second / Deuxième Third / Troisième Fifth / Cinquième School École Western Canada H.S. Vincent Massey S.S. Iroquois Ridge H.S. University of Toronto Schools Academie IBN-SINA Don Mills C.I. St. George’s School Location Endroit Calgary, AB Windsor, ON Oakville, ON Toronto, ON Montreal, QC North York, ON Vancouver, BC 6 Score Note 434 430 428 428 426 426 426 Champions – 2007 Champions – 2007 2007 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS PALMARÈS INDIVIDUEL ET PALMARÈS PAR ÉQUIPE 2007 FERMAT CONTEST / CONCOURS FERMAT STUDENTS /ÉLÈVES Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabetique Gold Medals Médailles d’or BO CHENG CUI YUTING HUANG FAN JIANG JOE KILEEL DAVID LEE YAN LI XUNCHAO LIU School École West Vancouver S.S. Johnston Heights J.S.S. Albert Campbell C.I. Fredericton H.S. Hamilton District Christian H.S. Dr. Norman Bethune C.I. Port Moody S.S.S. Location Endroit West Vancouver, BC Surrey, BC Scarborough, ON Fredericton, NB Ancaster, ON Scarborough, ON Port Moody, BC Grade Niveau 11 11 11 11 9 11 11 TEAMS / ÉQUIPES Champion / Première Second / Deuxième Third / Troisième Fifth / Cinquième School École West Vancouver S.S. Albert Campbell C.I. Sir Winston Churchill S.S. Western Canada H.S. Dr. Norman Bethune C.I. Fredericton H.S. Location Endroit West Vancouver, BC Scarborough, ON Vancouver, BC Calgary, AB Scarborough, ON Fredericton, NB 7 Score Note 432 430 426 426 424 424 Champions – 2007 Champions – 2007 2007 FERMAT CONTEST PROVINCIAL CHAMPIONS CHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2007 Each student below will receive a $200 prize / Chaque étudiant ci-dessous recevrait un prix de 200 $ Province Province NL NS NB PE QC ON North ON East ON Metro ON Metro ON Central ON West ON West MB SK AB AB AB AB BC BC BC Student Étudiant JONATHAN MONG KEVIN TSAI JOE KILEEL MABEL WANG ZHEBIN HU XINYANG ZHANG BILL LONG FAN JIANG YAN LI DAVID LEE YI KANG ZHE ALBERT LIANG HANEUL KIM ANDREW WANG YU XIANG LIU DANNY SHI ANNIE XU NELSON YAO BO CHENG CUI YUTING HUANG XUNCHAO LIU School École Holy Heart of Mary Regional H.S. King’s-Edgehill School Fredericton H.S. Colonel Gray S.H.S. Ecole Internationale de Montréal Orillia D.C.V.I. Glebe C.I. Albert Campbell C.I. Dr. Norman Bethune C.I. Hamilton District Christian H.S. Centennial C.V.I. Centennial C.V.I. Balmoral Hall School Walter Murray C.I. Western Canada H.S. Sir Winston Churchill H.S. Old Scona Academic H.S. Western Canada H.S. West Vancouver S.S. Johnston Heights J.S.S. Port Moody S.S.S. 8 Location Endroit St. John’s Windsor Fredericton Charlottetown Montreal Orillia Ottawa Scarborough Scarborough Ancaster Guelph Guelph Winnipeg Saskatoon Calgary Calgary Edmonton Calgary West Vancouber Surrey Port Moody Correct Answers # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Pascal B B A E E A A B C E C D B D A C C D C D B E B E A Cayley A C B E B D C D A D A E A A C E C B A D C D C B E Bonnes Rponses Fermat E B A C A A D A C E A B C B B A D B D E D B D C E 9 Pascal Contest Concours Pascal Number of Contestants / Nombre de concurrents: 26515 Average mark / Note moyenne: 96.04 Percentage of contestants selecting each option / Pourcentage de concurrents par choix: Correct Answer/ Bonne Réponse # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 B B A E E A A B C E C D B D A C C D C D B E B E A A 0.97 0.80 92.63 0.77 0.87 85.03 86.32 4.32 4.00 0.95 1.84 3.19 6.63 4.65 83.85 2.29 0.94 9.43 19.95 12.54 13.95 12.45 45.29 25.65 6.48 B 96.17 97.41 0.88 0.60 0.73 1.15 4.38 64.24 11.52 1.47 11.31 10.72 80.70 0.82 4.91 2.97 1.72 7.34 5.48 5.33 40.84 9.44 8.32 5.84 9.60 C 0.80 1.47 0.64 1.21 1.55 3.24 0.81 6.26 71.74 1.73 76.65 17.98 2.58 22.79 3.35 67.49 83.64 3.30 28.95 13.29 16.98 16.83 6.70 6.73 8.67 D 0.34 0.05 0.66 0.30 1.63 1.15 3.65 3.80 4.51 1.14 5.50 56.33 2.90 69.33 2.44 3.31 10.62 59.48 7.17 39.67 7.66 6.94 7.03 5.07 9.82 % not attempted/ % sans réponse % correct of attempted % tentatives réussies 0.25 0.04 0.77 0.37 1.35 4.52 0.98 15.50 3.52 1.21 3.44 9.55 4.65 1.68 3.69 21.28 1.17 17.24 32.10 25.77 15.18 33.99 30.81 48.56 58.15 96.50 97.52 93.43 97.11 95.15 89.15 87.25 76.10 74.43 94.64 79.45 62.33 84.72 70.58 87.15 85.82 84.71 71.96 42.69 53.50 48.20 30.73 12.04 15.70 15.51 E 1.38 0.16 4.33 96.67 93.79 4.81 3.77 5.79 4.62 93.41 1.17 2.15 2.45 0.64 1.66 2.58 1.82 3.11 6.26 3.32 5.30 20.26 1.76 8.06 7.20 10 Cayley Contest Concours Cayley Number of Contestants / Nombre de concurrents: 20618 Average mark / Note moyenne: 90.32 Percentage of contestants selecting each option / Pourcentage de concurrents par choix: Correct Answer/ Bonne Réponse # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 A C B E B D C D A D A E A A C E C B A D C D C B E A 97.74 0.12 1.70 0.35 2.51 0.35 0.80 1.53 76.97 7.12 82.70 9.53 75.89 60.75 4.63 7.54 21.76 6.34 20.34 21.00 12.30 9.60 5.39 7.38 7.44 B 1.59 0.56 95.84 0.37 88.18 4.54 8.71 7.53 4.58 2.78 1.52 13.50 4.00 3.29 5.76 6.05 5.15 35.27 2.85 13.86 10.63 14.31 6.08 13.09 8.32 C 0.03 96.30 1.89 0.74 0.65 0.97 84.26 17.72 3.71 1.95 10.67 1.77 3.08 6.37 55.12 18.88 63.79 6.99 7.24 9.26 48.34 19.51 8.44 5.84 9.42 D 0.43 0.64 0.16 0.91 5.33 93.37 3.88 63.81 3.43 76.54 0.76 10.60 7.39 4.13 5.99 4.64 1.23 5.91 26.36 10.76 5.85 19.84 7.18 5.79 14.83 % not attempted/ % sans réponse % correct of attempted % tentatives réussies 0.02 0.20 0.16 0.87 2.52 0.16 1.57 7.46 5.50 4.16 2.19 25.78 7.26 23.17 23.16 8.67 5.02 41.32 30.24 39.69 12.55 33.14 64.87 63.43 49.76 97.81 96.55 96.03 97.61 90.50 93.57 85.64 68.99 81.48 79.90 84.59 52.28 81.88 79.13 71.77 59.34 67.19 60.16 29.17 17.86 55.30 29.69 24.06 35.84 20.28 E 0.14 2.12 0.21 96.71 0.77 0.56 0.74 1.90 5.77 7.40 2.11 38.78 2.33 2.23 5.30 54.17 3.01 4.12 12.93 5.38 10.29 3.56 7.99 4.42 10.18 11 Fermat Contest Concours Fermat Number of Contestants / Nombre de concurrents: 16938 Average mark / Note moyenne: 87.73 Percentage of contestants selecting each option / Pourcentage de concurrents par choix: Correct Answer/ Bonne Réponse # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 E B A C A A D A C E A B C B B A D B D E D B D C E A 0.70 1.32 88.58 1.97 94.19 84.57 0.60 85.84 3.33 3.48 84.07 5.86 6.58 5.51 10.49 50.08 4.58 14.77 0.84 6.46 8.77 12.80 9.38 4.80 4.75 B 0.16 97.14 0.40 0.22 1.08 2.37 3.96 0.96 2.87 6.82 2.65 69.32 14.31 46.01 22.21 14.52 10.86 52.01 1.22 14.85 9.95 16.47 8.98 6.11 6.44 C 0.30 0.93 7.30 93.20 0.48 3.03 2.86 9.62 78.30 7.29 2.83 3.16 51.85 14.51 8.37 7.09 25.38 5.26 18.63 7.04 7.83 8.44 8.96 11.30 7.24 D 1.19 0.14 1.94 0.26 1.06 2.89 84.54 0.51 5.71 5.28 1.10 3.65 4.91 7.60 10.38 18.38 40.41 4.22 43.43 6.35 10.10 9.03 7.16 7.11 6.16 % not attempted/ % sans réponse % correct of attempted % tentatives réussies 0.07 0.25 0.70 0.24 2.82 3.68 5.94 1.33 5.90 6.45 4.46 15.74 11.90 19.76 31.21 6.28 16.51 21.14 30.33 24.34 58.70 44.18 60.54 64.72 71.43 97.65 97.48 89.29 93.53 97.01 87.90 89.96 87.09 83.29 75.53 88.09 82.36 58.91 57.40 32.33 53.50 48.45 66.02 62.44 54.08 24.51 29.55 18.19 32.12 13.60 E 97.48 0.12 0.99 4.00 0.28 3.35 2.01 1.64 3.80 70.58 4.79 2.18 10.36 6.52 17.24 3.54 2.17 2.52 5.44 40.86 4.55 8.99 4.89 5.86 3.87 12 Student Rankings Score/ Note 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 Classements des élèves Pascal Rank/ Position 1 Cayley Rank/ Position 1 Fermat Rank/ Position 1 21 22 11 9 59 28 33 123 125 134 245 253 55 57 58 102 105 45 98 99 344 485 497 678 692 908 931 1151 1191 1622 1669 1991 2049 2482 2564 3116 3191 3753 3881 4423 4607 5255 5465 6141 6386 6956 7264 7918 8310 9035 9389 9999 10435 11034 11520 155 209 211 273 279 370 377 483 497 639 655 816 838 1053 1090 1354 1396 1657 1723 2017 2078 2461 2549 2937 3073 3466 3616 4056 4217 4626 4837 5302 5540 6032 6300 135 158 161 230 232 265 267 305 315 429 432 502 508 597 620 823 838 978 1003 1146 1187 1488 1514 1772 1825 2089 2183 2552 2624 2962 3067 3434 3584 4035 4227 Score/ Note 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 13 Pascal Rank/ Position 12179 12614 13167 13664 14169 14746 15297 15760 16244 16690 17137 17641 18056 18468 18872 19240 19628 19979 20325 20673 20981 21264 21551 21794 22047 22288 22528 22730 22972 23186 23389 23574 23742 23933 24090 24231 24370 24498 24582 24694 24789 24898 24987 25066 25138 25212 25302 25362 25420 25476 25534 Cayley Rank/ Position 6782 7056 7513 7868 8357 8749 9241 9572 10016 10405 10793 11228 11640 11977 12344 12720 13115 13519 13864 14182 14508 14828 15143 15445 15718 15989 16231 16495 16796 17030 17222 17420 17611 17806 17988 18157 18313 18449 18584 18736 18850 18964 19074 19159 19260 19338 19411 19474 19519 19569 19619 Fermat Rank/ Position 4660 4828 5219 5440 5861 6124 6548 6811 7192 7487 7863 8216 8664 8959 9290 9592 9942 10272 10613 10922 11229 11486 11786 12110 12393 12651 12904 13131 13367 13574 13764 13950 14126 14328 14521 14671 14802 14925 15078 15239 15349 15457 15549 15650 15733 15814 15876 15941 15990 16056 16097 Student Rankings Score/ Note 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 Classements des élèves Pascal Rank/ Position 25575 25626 25658 25699 25736 25763 25792 25822 25846 25863 25881 25891 25913 25927 25938 25951 25958 25970 25985 25989 25994 25997 26007 26015 26021 26022 26024 26027 26034 26036 Cayley Rank/ Position 19662 19697 19738 19774 19807 19830 19857 19879 19897 19915 19929 19942 19956 19972 19974 19989 19998 20013 20022 20026 20030 20032 20037 20038 20043 20044 20045 20046 20047 20048 26037 20050 20051 Fermat Rank/ Position 16133 16178 16216 16247 16279 16294 16315 16335 16359 16380 16397 16406 16420 16429 16434 16439 16444 16451 16455 16459 16463 16468 16470 16475 16478 16485 16489 16491 16492 16495 16498 16500 26038 26039 16501 26041 26042 26043 20053 20054 N.B. These rankings pertain to official contestants only / N.B. Ces rangs se rapportent seulement aux concurrents officiels 14 Team Rankings Scores/ Notes 440 430 420 410 400 390 380 370 360 350 340 330 320 310 300 - 450 439 429 419 409 399 389 379 369 359 349 339 329 319 309 Pascal Ranks/ Positions 1 2 - 10 11 - 24 25 - 60 61 - 104 105 - 160 161 - 231 232 - 312 313 - 422 423 - 543 544 - 667 668 - 769 770 - 862 863 - 943 944 - 1013 Classements des équipes Cayley Ranks/ Positions Fermat Ranks/ Positions 1-2 3 - 11 12 - 20 21 - 37 38 - 66 67 - 106 107 - 154 155 - 221 222 - 307 308 - 394 395 - 499 500 - 606 607 - 712 713 - 805 1-2 3 - 12 13 - 21 22 - 37 38 - 52 53 - 68 69 - 96 97 - 142 143 - 192 193 - 264 265 - 349 350 - 450 351 - 547 548 - 638 Number of three student teams / Nombre d’équipes de trois élèves Pascal Contest / Concours Pascal : 1183 Cayley Contest / Concours Cayley: 1081 Fermat Contest / Concours Fermat: 1060 15 Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2007 Results Pascal Contest (Grade 9) Cayley Contest (Grade 10) Fermat Contest (Grade 11) Concours canadien de mathématiques Une activité du Centre d’éducation en mathématiques et en informatique, Université de Waterloo, Waterloo, Ontario 2007 Résultats Concours Pascal (9e année – Sec. III) Concours Cayley (10e année – Sec. IV) Concours Fermat (11e année – Sec. V) Cayley Contest Honour Rolls Palmarès pour le concours Cayley 2007 Cayley Contest/Concours Cayley Team List/Palmarès d'équipes Rank/ Rang School/ École City/ Ville Score/ Note 1 2 3 3 5 5 5 8 9 10 10 12 12 14 15 16 16 16 19 19 21 22 22 22 22 22 22 28 28 28 28 32 32 32 35 36 37 38 39 39 39 39 43 44 44 44 44 44 44 44 51 51 Western Canada H.S. Vincent Massey S.S. Iroquois Ridge H.S. University of Toronto Schools Academie IBN-SINA Don Mills C.I. St. George's School Sir Winston Churchill S.S. The Woodlands S. Burnaby North S.S. Fleetwood Park S.S. Semiahmoo S.S. St. Francis Xavier Secondary S A.Y. Jackson S.S. St. John's-Ravenscourt School Burnaby South S.S. Earl Haig S.S. North Toronto C.I. Port Moody S.S.S. Woburn Collegiate Institute University Hill S.S. Crescent School Glenforest S.S. Marc Garneau C.I. Sir John A. Macdonald S.S. Templeton S.S. Waterloo C.I. Lord Byng S.S. Pinetree S.S. Sir John A. Macdonald C.I. Upper Can Col-Upper School College Jean de Brebeuf Kitsilano S.S. (English) Thornlea S.S. Markham D.H.S. Eric Hamber S.S. Magee Secondary School Colonel By S. S. Centennial Reg. H.S. Dr. Norman Bethune C.I. Hugh McRoberts S.S. Southridge School Thornhill S.S. Agincourt C.I. London Central S.S. Pickering H.S. R.E. Mountain S.S. Selwyn House School Shaftesbury H.S. Vancouver College H.S. Ashbury College Sentinel S.S. Calgary Windsor Oakville Toronto Montreal North York Vancouver Vancouver Mississauga Burnaby Surrey Surrey Mississauga North York Winnipeg Burnaby North York Toronto Port Moody Scarborough Vancouver North York Mississauga North York Waterloo Vancouver Waterloo Vancouver Coquitlam Scarborough Toronto Montreal Vancouver Thornhill Markham Vancouver Vancouver Gloucester Greenfield Park Scarborough Richmond Surrey Thornhill Scarborough London Ajax Langley Westmount Winnipeg Vancouver Rockcliffe West Vancouver 434 430 428 428 426 426 426 422 421 420 420 418 418 416 414 412 412 412 410 410 409 408 408 408 408 408 408 406 406 406 406 404 404 404 403 402 400 399 398 398 398 398 397 396 396 396 396 396 396 396 394 394 2007 Cayley Contest/Concours Cayley Student Honour Roll/Liste d'honneur d'étudiants Name/ Nom Group I/Groupe I CHOW FUNG LAM LIU SUN TIAN WAN WEN YOUN ZHANG School/ École Scores/Notes 150 - 145 Location/ Endroit Grade/ Niveau DERRICK HENRY CHAPMAN ZHIQIANG JULIAN JACKY JAMES WEINAN PTR HYUNGMUK XI Brother Andre Catholic H.S. Glenforest S.S. H.J. Cambie S.S. Don Mills C.I. Sir Winston Churchill S.S. Western Canada H.S. North Toronto C.I. Vincent Massey S.S. Shaftesbury H.S. Saint John H.S. Markham Mississauga Richmond North York Vancouver Calgary Toronto Windsor Winnipeg Saint John 10 10 10 9 10 10 10 10 10 9 JEFFREY ADAM RICHARD PO YU MITCHELL ALBERT MINSEOK CHRIS TOM ARESH KENNY HANNA ADAM LINDA LUCIE PEI JUN JONATHAN St. George's School Selwyn House School St. Francis Xavier Secondary S St. George's School Crescent School Iroquois Ridge H.S. Sir John A. Macdonald S.S. Pinetree S.S. A.Y. Jackson S.S. St. John's-Ravenscourt School Thornlea S.S. St. Joseph S.S. University of Toronto Schools Burnaby South S.S. Centennial Reg. H.S. London Central S.S. Burnaby North S.S. Vancouver Westmount Mississauga Vancouver North York Oakville Waterloo Coquitlam North York Winnipeg Thornhill Mississauga Toronto Burnaby Greenfield Park London Burnaby 10 10 10 10 8 10 10 10 10 10 10 10 10 10 10 9 9 Scarborough Calgary Calgary Montreal Montreal Mississauga Oakville Oakville Abbotsford Scarborough Montreal Windsor Vancouver Halifax Surrey North York Etobicoke North York Surrey Brampton 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 Group II/Groupe II CHOI COVIENSKY HAE HUANG JOHNSTON KIM N KWEON LEE QIN SEPEHRI TANG TIAN VENIS WANG WENG ZHAO ZHOU Scores/Notes 144 - 143 Group III/Groupe III AHMED B OONE CHEN DANANE ELASSAAD GOEL HAN HAN HWANG JI KHALIL KHAN KIM KIM KIM KIM KWON LEE MEI PRINS SHAFQAT SPENCER EMMA AMINE HADI RAGHAV JOHN STEPHEN JUSUNG FRED AYAH SAMIN ERIC HYUNGJU PETER SANGWOO ALBERT SEONGYEOL VINNY ADAM Scores/Notes 142 - 139 Woburn Collegiate Institute Western Canada H.S. Western Canada H.S. Academie IBN-SINA Academie IBN-SINA The Woodlands S. Iroquois Ridge H.S. Iroquois Ridge H.S. Yale S.S. Dr. Norman Bethune C.I. Academie IBN-SINA Vincent Massey S.S. Kitsilano S.S. (English) Halifax West H.S. Fleetwood Park S.S. Crestwood Prep. College Richview C.I. Earl Haig S.S. Semiahmoo S.S. Turner Fenton S.S. 2007 Cayley Contest/Concours Cayley Student Honour Roll/Liste d'honneur d'étudiants Group III/Groupe III QI QIN QU SARDARLI SUN WAI WANG YING ZHAO ZHONG JINGYI PAIGE LEO MARIYA JARNO WILSON ZHENG LAURENCE ERIC CINDY Group IV/Groupe IV AHMED AHN AMANDA ANSTEY BAINS BAN BRAND BRES CHAN CHAN CHAN CHANDRABALAN CHANG CHANG CHAUDHURI CHEN DAOUI DHAWAN DUZHOU EVERTS FANG FUNK GAO GIL GOLDBERG HAN HO JEONG JIA JIANG JOSHI JU JUNG KANG KANG KIM KIM KIM KIM KIM KIM KIM LEE ZAIN SYED DONNY TU JORDAN KYLE FRANK JOHN ALEXANDER DANNY FLORENCE PHILIP MEERA HEEJAEE JEFF DIPAYAN RUIYUAN MALAK ANDREW HELEN AUSTIN SARAH JACOB RICHARD PAULA ADINA JIHO JOEL YURAK ERIC TOMMY SHAAN VICTORIA ERIC ANDY TINA CYNTHIA JI HO JIHEE JUNGHOO KEVIN RUFINA SCOTT CHRISTINA Scores/Notes 142 - 139 Don Mills C.I. Hugh McRoberts S.S. Woburn Collegiate Institute McKernan J.H.S. Western Canada H.S. University of Toronto Schools The Woodlands S. University of Toronto Schools University Hill S.S. Fleetwood Park S.S. North York Richmond Scarborough Edmonton Calgary Toronto Mississauga Toronto Vancouver Surrey 10 10 10 8 10 10 10 10 10 9 Mississauga West Vancouver Surrey Summerford Vancouver Windsor Mississauga Winnipeg North York North York Toronto Markham Delta Lakefield Mississauga Coquitlam Montreal Mississauga Windsor Calgary Burnaby Port Moody North York North York North York Aurora Richmond Kingston Scarborough North York Ajax Scarborough Langley Surrey Vancouver Surrey Mississauga Surrey Vancouver Toronto Waterloo Toronto Richmond Hill 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 10 10 Scores/Notes 138 - 135 St. Francis Xavier Secondary S Collingwood School Southridge School New World Island Academy St. George's School Vincent Massey S.S. Port Credit S.S. Kelvin High School Marc Garneau C.I. Marc Garneau C.I. Upper Can Col-Upper School Middlefield C.I. South Delta S.S. Lakefield College School St. Francis Xavier Secondary S Gleneagle S.S. Academie IBN-SINA The Woodlands S. Vincent Massey S.S. Webber Academy Burnaby North S.S. Port Moody S.S.S. Victoria Park C.I. Earl Haig S.S. Com. Hebrew Academy of Toronto St. Andrew's College Richmond S.S. Loyalist C.&V.I. Agincourt C.I. A.Y. Jackson S.S. Pickering H.S. Sir John A. Macdonald C.I. R.E. Mountain S.S. Holy Cross Reg. H.S. Lord Byng S.S. Semiahmoo S.S. Lorne Park S.S. Earl Marriott S.S. University Hill S.S. North Toronto C.I. Waterloo C.I. St. Michael's College School Holy Trinity School 2007 Cayley Contest/Concours Cayley Student Honour Roll/Liste d'honneur d'étudiants Group IV/Groupe IV LEE LEE LEE LEE LEUNG LI LI LIN LIN LING LITTLE LIU LIUZHAO LONGOWAL LU LU MENGG MIAO MUNIKAR MURPHY PARK PARK PEREIRA PIMM DUPUCH POLOTSKII PUN RICHARDSON SHANG SHIN SHUSTACK SIU SMITH STINZIANO TANG TSENG WAN WANG WANG WEE WEI WEINGERT WONG WOO WU WU WU YANG YANG YU YU YUN ZHAI ZHANG ZHOU DONGCHAN LUCIA SEUNG HYUN SOHEE THOMAS CINDY JIANG CHRISTINA ERIK CHRISFORD SCOTT FONVEY KEVIN MANINDER LUCILLE MELODY ZHEN JANE DAVID O TARA BEN ANTHONY KELLY SIOBHAN JEAN ROBER ILIA NICHOLAS ANDREW BORIS HYUNBIN KEVIN NORMAN IAN JOSEPH SHIYI JASON ANDREA AMANDA ANDREW MICHAEL SUI MICHAEL GABRIEL BENJAMIN ANGELA HAOXIN YU JULIE ZEYA JEFFREY RUIQI JASON NOBLE JESSIE SAI Scores/Notes 138 - 135 H.B. Beal S.S. Burnaby North S.S. Vancouver College H.S. Westmount High School St. George's School Burnaby North S.S. Upper Can Col-Upper School Templeton S.S. College Jean de Brebeuf Bell H.S. Waterloo C.I. Western Canada H.S. David & Mary Thomson C.I. Tempo School Western Canada H.S. Sir Winston Churchill S.S. Vincent Massey S.S. Port Moody S.S.S. St. John's-Ravenscourt School Markham D.H.S. St. Thomas Aquinas H.S. Thornhill S.S. Francis Libermann C.H.S. Ashbury College College Jean de Brebeuf St. George's School Centennial H.S. Semiahmoo S.S. Laura Secord S.S. Bialik H.S. Templeton S.S. Vancouver College H.S. John Paul II H.S. Brookfield H.S. St. Michael's Univ. School The Woodlands S. Sentinel S.S. Bradford D.H.S. Port Moody S.S.S. Magee Secondary School London South S. S. St. George's School Sir Winston Churchill S.S. Northview Heights S.S. College St-Louis Semiahmoo S.S. Semiahmoo S.S. Colonel By S. S. University of Toronto Schools Stephen Leacock C.I. Fleetwood Park S.S. Western Canada H.S. Sir Winston Churchill S.S. L'Amoreaux C.I. London Burnaby Vancouver Westmount Vancouver Burnaby Toronto Vancouver Montreal Nepean Waterloo Calgary Scarborough Edmonton Calgary Vancouver Windsor Port Moody Winnipeg Markham North Vancouver Thornhill Scarborough Rockcliffe Montreal Vancouver Calgary Surrey St Catharines Cote St Luc Vancouver Vancouver London Ottawa Victoria Mississauga West Vancouver Bradford Port Moody Vancouver London Vancouver Vancouver North York Lasalle Surrey Surrey Gloucester Toronto Scarborough Surrey Calgary Vancouver Scarborough 10 10 8 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 2007 Cayley Contest/Concours Cayley Student Honour Roll/Liste d'honneur d'étudiants Group V/Groupe V ARCHIBALD BALABANIAN BARRETT BATMAZIAN BATORY BERNARD BEYNON BINNERSLEY BO CHEN CHHAY CHIN CHIU CHUNG CHUNG COK CUI CUI DAKSHINAMURTHY DAVID DAVYDOVSKI DESJARDINS DILLON DONG DUPONT DUQUETTE FAN FENG FILION FLORIAN FOLLIS GREYSSON WONG GU GUTTERIDGE HASHEM HE HUH ISAKOVA JAVAID JIANG JIANG KANG KIM KIM KIM KIM KNEZEVIC KWAK LANKAGE LEE LEE LEE LI LIU LO MA MACK MANGERA Scores/Notes 134 - 132 DREW CONNOR MICHAEL LAURENCE WILLIAM VALERIE CORY YANG LEO IRENE PRESTON JUDY ALBERT KEVIN ADAM NAIWEN ZHENG VIGNESH ZHU ANTON ALEXANDRE JACK MINGSHU VINCENT OLIVIER JASON SIMON JOEL JONKER LEE CALVIN JERRY JAMES KHALED ROCKY SEHWA ERIKA USAMA ALEX NEO KATHERINE CAROLYN HYUNGJIN JOONHWAN YOHAN BOGDAN DONGWON SASHIKA HEEIN JAMES JOHN ELIZABETH DAVID RYAN CASSANDRA RICHARD JAMES Dr. John Hugh Gillis School The Abelard School Westmount High School University of Toronto Schools Lower Canada College Balmoral Hall School Kwalikum S. S. Thornlea S.S. Mount Douglas S.S. William Lyon Mackenzie C.I. Upper Can Col-Upper School Lakefield College School St. Theresa of Lisieux C.H.S. The Woodlands S. Sir John A. Macdonald S.S. Waterloo C.I. Newtonbrook S. S. Campbell C.I. Prince of Wales S.S. Dr. E. P. Scarlett H.S. College Regina Assumpta St. Mary's C.H.S. Burnaby Mountain S.S. E.S. du Verbe Divin College Jean de Brebeuf Vincent Massey S.S. A.Y. Jackson S.S. College Saint-Charles-Garnier Southridge School St. John's College Earl of March S.S. Leaside H.S. Loyola H.S. Bishop P. F. Reding S. S. Burnaby North S.S. W.J. Mouat S.S. Maimonide-Camp. Parkhaven Vincent Massey S.S. Newmarket H.S. University Hill S.S. Marc Garneau C.I. Earl Haig S.S. Walter Murray C.I. Magee Secondary School John Diefenbaker H.S. The Woodlands S. Argyle S.S. University of Toronto Schools Sutherland S.S. Marc Garneau C.I. Our Lady Of Lourdes H.S. Loretto Abbey Markham D.H.S. Steveston S.S. Markham D.H.S. Immaculata Regional H.S. St. John's-Ravenscourt School Antigonish Toronto Westmount Toronto Montreal Winnipeg Qualicum Beach Thornhill Victoria North York Toronto Lakefield Richmond Hill Mississauga Waterloo Waterloo North York Regina Vancouver Calgary Montreal Brockville Burnaby Granby Montreal Windsor North York Quebec Surrey Brantford Kanata East York Montreal Milton Burnaby Abbotsford Cote St Luc Windsor Newmarket Vancouver North York North York Saskatoon Vancouver Calgary Mississauga North Vancouver Toronto North Vancouver North York Guelph North York Markham Richmond Markham Kelowna Winnipeg 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 2007 Cayley Contest/Concours Cayley Student Honour Roll/Liste d'honneur d'étudiants Group V/Groupe V MITCHNICK MITER V MOON MORASH NAM NASSERRANJBAR NGUYEN NIU PAN PARK PARK QUON RHEE ROH ROSEN SAINT HILAIRE SCHEP SHI SHI SHIN SHIN T STENHOUSE TANG TANG TASEV TAT TECKS BLEUER TOSINI TSAI TSAI TUNG VAN ROSSUM VEZINA WANG WANG WANG WANG WANG WANG WONG WONG WOO WU WU XI XIAO XU XU XU XU XU YAN YAN YANG YANG YOON YU Scores/Notes 134 - 132 ROBBIE ALINA JIWON ALEX YOONGOO ARMIN BRYAN CHRIS TEDGING JULIA SANGHEE SAMMIE ALONSO KASE Y YOCHAN CHARLES A DANIEL HILARY JOY JEFFREY TIM MIKE MIKE SINYE GORAZD ROXANA AUSTIN DOMINIQUE CHUN AN LOUIS NATHANAEL ALYSSA TYLER ANGELA GLEN KEDI MIKE SHEN TONY JEREMY SHARON JANICE GREG LEI MENGCHEN SOPHIE HAOXIANG IRIS JING MARK ZHE AILEEN HAN JUSTIN TERRY BEN ROLLIN Crescent School Westmount C.I. A.Y. Jackson S.S. Fredericton H.S. St. Malachy's H.S. Pinetree S.S. Lower Canada College Moscrop Secondary School Sir Winston Churchill S.S. Newtonbrook S. S. St Joseph's Morrow Park H.S. Eric Hamber S.S. Burnaby South S.S. Windsor S.S. Eric Hamber S.S. College Laval Aurora High School Havergal College Robert Bateman H.S. Richmond Hill H.S. Brookswood S.S. Western Canada H.S. Sir John A. Macdonald C.I. University of Toronto Schools The Woodlands S. Eric Hamber S.S. Royal West Academy College Jean De La Mennais Lord Byng S.S. Shawnigan Lake School Burnaby South S.S. Dr. John Hugh Gillis School D'Arcy McGee H.S. Don Mills C.I. Western Canada H.S. Fort Richmond C.I. Hugh Boyd S.S. Lord Byng S.S. Don Mills C.I. Bayview Secondary School Centennial S.S.S. Markham D.H.S. Seaquam S.S. Sir John A. Macdonald C.I. Colonel By S. S. Waterloo C.I. Westdale S.S. Burnaby South S.S. University Hill S.S. St. John's-Ravenscourt School Eric Hamber S.S. A.Y. Jackson S.S. University of Toronto Schools Ridley College Fraser Heights S.S. Dr. G.W. Williams S.S Burnaby North S.S. North York Thornhill North York Fredericton Saint John Coquitlam Montreal Burnaby Vancouver North York North York Vancouver Burnaby North Vancouver Vancouver Laval Aurora North York Burlington Richmond Hill Langley Calgary Scarborough Toronto Mississauga Vancouver Montreal Ouest La Prairie Vancouver Shawnigan Lake Burnaby Antigonish Gatineau North York Calgary Winnipeg Richmond Vancouver North York Richmond Hill Coquitlam Markham Delta Scarborough Gloucester Waterloo Hamilton Burnaby Vancouver Winnipeg Vancouver North York Toronto St Catharines Surrey Aurora Burnaby 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 2007 Cayley Contest/Concours Cayley Student Honour Roll/Liste d'honneur d'étudiants Group V/Groupe V ZHANG ZHANG ZHOU ZHU Scores/Notes 134 - 132 BILL TIAN YANQING HENRY Kitsilano S.S. (English) Sir Sandford Fleming Academy University Hill S.S. Templeton S.S. Vancouver North York Vancouver Vancouver 9 10 10 10
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