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2002 PCF Res. Bk. Open Pages Canadian Concours Mathematics canadien de Competition mathématiques An activity of The Centre for Education Une activité du Centre d'éducation in Mathematics and Computing, en mathématiques et en informatique, University of Waterloo, Waterloo, Ontario Université de Waterloo, Waterloo, Ontario 2002 2002 Results Résultats Pascal Contest Concours Pascal (Grade 9) (9 e année – Sec. III) Cayley Contest Concours Cayley (Grade 10) (10 e année – Sec. IV) Fermat Contest Concours Fermat (Grade 11) (11e année – Sec. V) for the pour les prix The CENTRE for EDUCATION in Le CENTRE d'ÉDUCATION en MATHEMATICS and COMPUTING MATHÉMATIQUES et en INFORMATIQUE Awards C.M.C. Sponsors: C.M.C. Supporters: C.M.C. Contributors: Avec la contribution de : Avec la participation de : Avec l'appui de : Manulife Financial Financière Manuvie Canadian Institute of Actuaries Equitable Life of Canada Institut canadien des actuaires L’Équitable, Compagnie d’Assurance-Vie du Canada Great West Life and London Life London Life, compagnie d’assurance-vie et La Great-West, compagnie d’assurance-vie Chartered Accountants Comptables agréés Sybase Inc. (Waterloo) iAnywhere Solutions © 2002 Waterloo Mathematics Foundation Table of Contents Table des matières Foreword / Avant-Propos ........................................................................................................................................................................................................... 1 Comments / Commentaires ........................................................................................................................................................................................................2 Enrolment / Inscription ............................................................................................................................................................................................................... 3 Champions - 2002 / Champions - 2002 ...................................................................................................................................................................................4 The Centre for Education in Mathematics and Computing Prize List / Liste des prix de la Centre d’Éducation en Mathématiques et en Informatique ................................................................................................. 6 Pascal Contest / Concours Pascal Canadian Team Honour Roll / Palmarès des équipes à l’échelle nationale ..........................................................................................................................8 Canadian Student Honour Roll / Palmarès des élèves à l’échelle nationale .........................................................................................................................9 Statistics for Canada / Statistiques pour Canada .................................................................................................................................................................15 Student Rankings / Classement des élèves ...........................................................................................................................................................................15 Cayley Contest / Concours Cayley Canadian Team Honour Roll / Palmarès des équipes à l’échelle nationale ........................................................................................................................16 Canadian Student Honour Roll / Palmarès des élèves à l’échelle nationale .......................................................................................................................17 Statistics for Canada / Statistiques pour Canada .................................................................................................................................................................22 Student Rankings / Classement des élèves .........................................................................................................................................................................22 Fermat Contest / Concours Fermat Canadian Team Honour Roll / Palmarès des équipes à l’échelle nationale ........................................................................................................................23 Canadian Student Honour Roll / Palmarès des élèves à l’échelle nationale .......................................................................................................................24 Statistics for Canada / Statistiques pour Canada .................................................................................................................................................................29 Student Rankings / Classement des élèves .........................................................................................................................................................................29 International Results / Résultats internationaux................................................................................................................................................................. 30 Answers / Réponses .................................................................................................................................................................................................................... 35 The Competition Organization Organisation du Concours Executive Committee / Comité exécutif Barry Ferguson (Director / Directeur), Peter Crippin, Ruth Malinowski, Ian VanderBurgh Director of Operations / Le directeur d'operation Barry Ferguson, University of Waterloo Computer Operation / Ordinatique Steve Breen, University of Waterloo Don Cowan, University of Waterloo Matthew Oliver, University of Waterloo Publications / Publications Bonnie Findlay, University of Waterloo Preparation of Materials / Préparation du matériel Bonnie Findlay, University of Waterloo French Edition / Version française André Ladouceur, Collège Catholique Samuel-Genest, Ottawa Robert Laliberté, École secondaire publique Louis-Riel, Gloucester Gérard Proulx, Collège catholique Franco-Ouest, Ottawa Rodrigue St-Jean, École secondaire Embrun, Embrun Technical Assistants / Adjoints à la technique Joanne Kursikowski, Linda Schmidt, Kim Schnarr, Yousif Braz, Stéphane Doiron Problems Committees / Comités des problèmes Pascal Contest / Concours Pascal Challenges / Wally Webster, (Chair / président), Avon Maitland D.S.B., Seaforth Jim Nakamoto, (Chair / président), Sir Winston Churchill C.I., Vancouver Lloyd Auckland, University of Waterloo, Waterloo Don Curran, (retired / retraité), Oshawa Mike Eden, Preston D.H.S., Cambridge Rad de Peiza, Upper Canada College, Toronto Jim Schurter, (retired / retraité) Listowel André Ladouceur, Réseau de l’est, Vanier Tyler Somer, Academy For Gifted Chidren - P.A.C.E., Richmond Hill Tino Lenti, Lo Ellen Park S.S., Sudbury Anna Spanik, Halifax West H.S., Halifax Peter O’Hara, Glendale H.S., Tillsonburg Cayley Contest / Concours Cayley Problems Resource Committee / Susan Brooks, (Chair / président), Elmira District S.S., Elmira Comité de gestion de la banque de problèmes Jeff Anderson, Forest Heights C.I., Kitchener Ed Anderson, (retired / retraité), University of Waterloo, Waterloo Todd Braithwaite, Vincent Massey S.S., Windsor Lloyd Auckland, (retired / retraité), University of Waterloo, Waterloo Charlotte Danard, Branksome Hall, Toronto Ed Baumgart, (retired / retraité), Waterloo Rob Gleeson, Kincardine District S.S., Kincardine Frank Rachich, (retired / retraité), Ingersoll Jack Koenka, Havergal College, Toronto Larry Rice, University of Toronto Schools, Toronto Validation Committee / Comité de validation John Barsby, St. John’s-Ravenscourt School, Winnipeg Fermat Contest / Concours Fermat Jean Collins, (retired / retraité), Thornhill Paul Fennell, (Chair / président), Medway High School, Arva Tom Griffiths, (retired / retraité), London Cliff Lelievre, Oakville Trafalgar High School, Oakville Frank Rachich, (retired / retraité), Ingersoll Ruth Malinowski, University of Waterloo, Waterloo Larry Rice, University of Toronto Schools, Toronto Dean Murray, Milton D.H.S., Milton Ron Scoins, University of Waterloo, Waterloo Dan Schnabel, Vaughan S.S., Thornhill David Shepherd, Collingwood C.I., Collingwood Canadian Open Mathematics Challenge / Défi ouvert canadien de mathématiques Ian McGee, (Chair / président), University of Waterloo, Waterloo Gareth Griffith, University of Saskatchewan, Saskatoon Mike Mosca, St. Jerome’s University, Waterloo Jeff Shifrin, (retired / retraité), Toronto Daryl Tingley, University of New Brunswick, Fredericton Bruce White, Vincent Massey S.S., Windsor Foreword Avant-Propos The CENTRE for EDUCATION Le CENTRE d'ÉDUCATION in MATHEMATICS and en MATHÉMATIQUES et COMPUTING en INFORMATIQUE Peter Crippin The Centre for Education in Mathematics and Computing is Le Centre d’éducation en mathématiques et informatiques est proud to be the major sponsor of the Canadian Mathematics fier d’être le répondant principal du concours canadien de Competition this year. This is the 39th year that the contests have mathématiques cette année. Cette année marque le 39e been written and we are very pleased to see that these activities, anniversaire des concours et nous sommes très contents que ces that began in a few schools in South Western Ontario in 1963, are activités, qui ont commencé avec seulement quelques écoles de now enjoyed by students across the country. l’Ontario sud-ouest en 1963, sont maintenant écrites par les étudiants à travers
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