This volume is a republication and expansion of the much-loved Wohascum County Problem Book, published in 1993. The original 130 problems have been retained and supplemented by an additional 78 problems. The puzzles contained within, which are accessible but never routine, have been specially selected for their mathematical appeal, and detailed solutions are provided. The reader will encounter puzzles involving calculus, algebra, discrete mathematics, geometry and number theory, and the volume includes an appendix identifying the prerequisite knowledge for each problem. A second appendix organises the problems by subject matter so that readers can focus their attention on particular types of problems if they wish. This collection will provide enjoyment for seasoned problem solvers and for those who wish to hone their skills. mathematical problem solving cover 1 copyright page 3 title page 4 PREFACE 8 CONTENTS 12 THE PROBLEMS 14 Problems 1-4 14 Problems 5-11 15 Problems 12-15 16 Problems 16-22 17 Problems 23-25 18 Problems 26-31 19 Problems 32-36 20 Problems 37-42 21 Problems 43-48 22 Problems 49-53 23 Problems 54-58 24 Problems 59-62 25 Problems 63-66 26 Problems 67-70 27 Problems 71-75 28 Problems 76-82 29 Problems 83-85 30 Problems 86-88 31 Problems 89-93 32 Problems 94-98 33 Problems 99-102 34 Problems 103-105 35 Problems 106-108 36 Problems 109-112 37 Problems 113-118 38 Problems 119-123 39 Problems 124-128 40 Problems 129-134 41 Problems 135-138 42 Problems 139-143 43 Problems 144-148 44 Problems 149-154 45 Problem 155-159 46 Problems 160-164 47 Problems 165-169 48 Problems 170-174 49 Problem 175-180 50 Problems 181-186 51 Problems 187-192 52 Problems 193-196 53 Problems 197-201 54 Problems 202-206 55 Problems 207-208 56 THE SOLUTIONS 58 APPENDIX 1 PREREQUISITES BY PROBLEM NUMBER 392 APPENDIX 2 Problem Numbers by Subject 402 Index 404 problem,solving This volume is a republication and expansion of the much-loved Wohascum County Problem Book, published in 1993. The original 130 problems have been retained and supplemented by an additional 78 problems. The puzzles contained within, which are accessible but never routine, have been specially selected for their mathematical appeal, and detailed solutions are provided. The reader will encounter puzzles involving calculus, algebra, discrete mathematics, geometry and number theory, and the volume includes an appendix identifying the prerequisite knowledge for each problem. A second appendix organizes the problems by subject matter so that readers can focus their attention on particular types of problems if they wish. This collection will provide enjoyment for seasoned problem solvers and for those who wish to hone their skills. A collection of 208 challenging, original problems with carefully worked solutions. In addition to problems from The Wohascum County Problem Book, there are about 80 new problems, many of which involve experimentation and pattern finding. Most of the book is devoted to presenting instructive, clear, and often elegant solutions. For many problems, multiple solutions are given. Appendices list the prerequisites for individual problems and arrange them by topic
