
This volume contains the problems and solutions from the 19951996 Mathematical Olympiads' Correspondence Program. This program has several purposes. It provides students with practice at solving and writing up solutions to Olympiadlevel problems, it helps to prepare student for the Canadian Mathematical Olympiad and it is a partial criterion for the selection of the Canadian IMO team.
Many of the problems admit several approaches. Accordingly, I have often indicated a number of alternative solutions to a problem in order to show how different ideas can be consummated.
While I have tried to make the text as correct as possible, some mathematical and typographical errors might remain, for which I accept full responsibility. I would be grateful to any reader drawing my attention to errors as well as to alternative solutions.
Thanks are due to Bruce Shawyer of Memorial University of Newfoundland for suggesting the publication of this book and for overseeing its publication, as well as to Cindy Hiscock, 1996 WISE student at Memorial University of Newfoundland, for producing the initial document.
It is the hope of the Canadian Mathematical Society that this collection may find its way to high school students who may have the talent, ambition and mathematical expertise to represent Canada internationally. Those who find the problems too challenging at present can work their way up through other collections. For example:
This volume contains a selection of some of the basic algebra that is useful in solving problems at the senior high school level. Many of the problems in the booklet admit several approaches. Some worked examples are shown, but most are left to the ingenuity of the reader.
While I have tried to make the text as correct as possible, some mathematical and typographical errors might remain, for which I accept full responsibility. I would be grateful to any reader drawing my attention to errors as well as to alternative solutions. Also, I should like to express my sincere appreciation for the help given by Ed Barbeau in the preparation of this material.
It is the hope of the Canadian Mathematical Society that this collection may find its way to high school students who may have the talent, ambition and mathematical expertise to represent Canada internationally. Those who wish more problems can find further examples in:
This volume contains a selection of some of the problems that have been used in the Newfoundland and Labrador Senior Mathematics League, which is sponsored the the Newfoundland and Labrador Teachers Association Mathematics Special Interest Council. The support of many teachers and schools is gratefully acknowledged.
We also acknowledge with thanks the assistance from the staff of the Department of Mathematics and Statistics, especially Ros English, Wanda Heath, Menie Kavanagh and Leonce Morrissey, in the preparation of this material.
Many of the problems in the booklet admit several approaches. As opposed to our earlier 1995 book of problems, Shaking Hands in Corner Brook, available from the Waterloo Mathematics Foundation, this booklet contains no solutions, only answers. Also, the problems are arranged in the form in which we use them  in games. We hope that this will be of use to other groups running Mathematics Competitions.
While we have tried to make the text as correct as possible, some mathematical and typographical errors might remain, for which we accept full responsibility. We would be grateful to any reader drawing our attention to errors.
It is the hope of the Canadian Mathematical Society that this collection may find its way to many high school teachers, and to many high school students, including those who may have the talent, ambition and mathematical expertise to represent Canada internationally.
John Grant McLoughlin
Faculty of Education
Memorial University of Newfoundland
St. John's, NF
Canada A1B 3X8
johngm@morgan.ucs.mun.ca
Bruce L.R. Shawyer
Department of Mathematics and Statistics
Memorial University of Newfoundland
St. John's, NF
Canada A1C 5S7
bshawyer@math.mun.ca
This volume contains most of the inequalities that are useful in solving problems. Many inequality problems admit several approaches. Some solutions are given, but other problems are left to the reader.
While we have tried to make the text as correct as possible, some mathematical and typographical errors might remain, for which we accept full responsibility. We would be grateful to any reader drawing our attention to errors as well as to alternative solutions.
It is the hope of the Canadian Mathematical Society that this volume may find its way to high school students who may have the talent, ambition and mathematical expertise to represent Canada internationally. Here are a few general resources for problem solving: