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2004 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 2004 2004 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. Supporters: C.M.C. Sponsors: Avec la participation de : Avec la contribution de : Canadian Institute of Actuaries Institut canadien des actuaires Chartered Accountants Great West Life and London Life London Life, compagnie d’assurance-vie et La Great-West, compagnie d’assurance-vie Comptables agréés Sybase Inc. (Waterloo) iAnywhere Solutions © 2004 Waterloo Mathematics Foundation Table of Contents Table des matières Foreword / Avant-Propos ........................................................................................................................................................................................................... 1 Comments / Commentaires ........................................................................................................................................................................................................2 Enrolment / Inscription ............................................................................................................................................................................................................... 3 Champions - 2004 / Champions - 2004 ...................................................................................................................................................................................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 ..........................................................................................................................7 Canadian Student Honour Roll / Palmarès des élèves à l’échelle nationale .........................................................................................................................9 Statistics for Canada / Statistiques pour Canada .................................................................................................................................................................20 Student Rankings / Classement des élèves ...........................................................................................................................................................................20 Cayley Contest / Concours Cayley Canadian Team Honour Roll / Palmarès des équipes à l’échelle nationale ........................................................................................................................21 Canadian Student Honour Roll / Palmarès des élèves à l’échelle nationale .......................................................................................................................22 Statistics for Canada / Statistiques pour Canada .................................................................................................................................................................32 Student Rankings / Classement des élèves .........................................................................................................................................................................32 Fermat Contest / Concours Fermat Canadian Team Honour Roll / Palmarès des équipes à l’échelle nationale ........................................................................................................................33 Canadian Student Honour Roll / Palmarès des élèves à l’échelle nationale .......................................................................................................................34 Statistics for Canada / Statistiques pour Canada .................................................................................................................................................................38 Student Rankings / Classement des élèves .........................................................................................................................................................................38 International Results / Résultats internationaux................................................................................................................................................................. 39 Answers / Réponses .................................................................................................................................................................................................................... 47 The Competition Organization Organisation du Concours Executive Committee / Comité exécutif Barry Ferguson (Director / Directeur), Peter Crippin, Judith Koeller, Ian VanderBurgh Computer Operation / Ordinatique Steve Breen, University of Waterloo Matthew Oliver, University of Waterloo Publications / Publications Linda Schmidt, University of Waterloo Preparation of Materials / Préparation du matériel Linda Schmidt, University of Waterloo French Edition / Version française André Ladouceur, Collège Catholique Samuel-Genest, Ottawa Gérard Proulx, Collège catholique Franco-Ouest, Ottawa Technical Assistants / Adjoints à la technique Joanne Kursikowski, Kim Schnarr, Kyra Keenan, Lindsay Stewart Problems Committees / Comités des problèmes Canadian Open Mathematics Challenge/ Pascal Contest / Concours Pascal Défi ouvert canadien de mathématiques Wally Webster, (Chair / président), Avon Maitland D.S.B., Seaforth Ian McGee, (Chair / président), University of Waterloo, Waterloo Lloyd Auckland, University of Waterloo, Waterloo Mike Eden, Preston District H.S., Cambridge Monika Khbeis, Father Michael Goetz S.S., Mississauga Gareth Griffith, University of Saskatchewan, Saskatoon Ginger Moorey, Father Michael Goetz S.S., Mississauga Mike Mosca, St. Jerome’s University, Waterloo Jim Schurter, (retired / retraité) Listowel Larry Rice, University of Waterloo, Waterloo Tyler Somer, Academy For Gifted Chidren - P.A.C.E., Richmond Hill Paul Schellenberg, University of Waterloo, Waterloo Anna Spanik, Halifax West H.S., Halifax Jeff Shifrin, (retired / retraité), Toronto Daryl Tingley, University of New Brunswick, Fredericton Cayley Contest / Concours Cayley Bruce White, Vincent Massey S.S., Windsor Susan Brooks, (Chair / président), Elmira District S.S., Elmira Jeff Anderson, Forest Heights C.I., Kitchener FGH Contest Committee / Tom Barker, Stratford Central S.S., Stratford Jim Nakamoto, (Chair / président), Sir Winston Churchill C.I., Vancouver Todd Braithwaite, Vincent Massey S.S., Windsor Don Curran, (retired / retraité), Oshawa Charlotte Danard, Branksome Hall, Toronto Rad de Peiza, (retired / retraité), Agincourt Rob Gleeson, Kincardine District S.S., Kincardine André Ladouceur, (retired / retraité), Gloucester Jack Koenka, Havergal College, Toronto Tino Lenti, Lo Ellen Park S.S., Sudbury Peter O’Hara, Glendale H.S., Tillsonburg Fermat Contest / Concours Fermat Paul Fennell, (Chair / président), Oakridge S.S., London Validation Committee / Comité de validation Cliff Lelievre, Oakville Trafalgar High School, Oakville John Barsby, (retired / retraité), Winnipeg Ruth Malinowski, University of Waterloo, Waterloo Jean Collins, (retired / retraité), Thornhill Dean Murray, Milton D.H.S., Milton Tom Griffiths, (retired / retraité), London Alexandru Pintilie, Crescent School, Willowdale Frank Rachich, (retired / retraité), Ingersoll Dan Schnabel, Vaughan S.S., Thornhill David Shepherd, Collingwood C.I., Collingwood 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 41st year that the contests have mathématiques cette année. Cette année marque le 41e 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 le pays. The Mathematical and Computer Sciences are enjoying incredible growth. New applications of mathematics are being developed Les sciences mathématiques et informatiques sont en train de to solve problems in all aspects of the physical and social réjouir d’un agrandissement incroyable. De nouvelles sciences, business, industry, and medicine. Our hope is that the applications sont développées pour résoudre des problèmes en challenge of preparing for and writing these contests will help tous aspets de sciences physiques et sociaux,
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