in collaboration with / en collaboration avec
The CENTRE for EDUCATION
in MATHEMATICS
and COMPUTING
Faculty of Mathematics
University of Waterloo
Waterloo, Ontario, Canada N2L 3G1
Le CENTRE d’ÉDUCATION
en MATHÉMATIQUES
et en INFORMATIQUE
Faculté de mathématiques
Université de Waterloo
Waterloo, Ontario, Canada N2L 3G1
2007
Results
Sun Life Financial
Canadian Open
Mathematics
Challenge
2007
Résultats
Défi ouvert
canadien
de mathématiques
Financière
Sun Life
2007 Canadian Mathematical Society
c©
2007 La Société mathématique du Canada
Introduction
This document contains the results of the twelfth Sun Life Financial Canadian Open Mathematics Challenge
(COMC). The COMC is a collaborative activity between the Canadian Mathematical Society (CMS) and the
Centre for Education in Mathematics and Computing (CEMC). This Contest has several purposes. First and
foremost, its purpose is to encourage students in their exploration of mathematics and problem solving. Second,
the COMC provides an enrichment activity for teachers to use with their students during the Fall term. And
third, the COMC is used by the CMS to identify students who will write the Canadian Mathematical Olympiad
and who will attend various camps and workshops.
We hope that students and teachers alike enjoyed trying and solving the problems on this paper and found
something interesting or surprising along the way. In creating the COMC, the Committee has tried to create
original problems which require some curricular knowledge, some problem solving techniques, and some insight.
While many of the problems should be accessible to a large fraction of those who wrote, few students should expect
to be able to solve all of the problems in the given time. We always encourage students to try any of the problems
that they did not get during the Contest afterwards, and to talk to their teachers and classmates about them.
The problem solving skills that students develop by studying mathematics and pursuing mathematics enrichment
are invaluable skills both from