The Contest Problem Book VI

Cover......Page 1
copyright page......Page 3
Title page......Page 4
Contents......Page 8
How To Use This Book......Page 10
Special Notation......Page 11
The Difficulty of the AHSME......Page 12
Related Problem Solving References......Page 13
Use of calculators......Page 14
Generating the Examinations......Page 15
Reaction to these tests......Page 16
Acknowledgments......Page 17
Name......Page 18
AHSME RULES......Page 20
40 AHSME......Page 22
Some Comments on the Distractors......Page 28
Answers and Response Distribution......Page 29
41 AHSME......Page 30
Some Comments on the Distractors......Page 36
Answers and Response Distribution......Page 37
42 AHSME......Page 38
Some Comments on the Distractors......Page 44
Answers and Response Distribution......Page 45
43 AHSME......Page 46
Some Comments on the Distractors......Page 51
Answers and Response Distribution......Page 53
44 AHSME......Page 54
Some Comments on the Distractors......Page 60
Answers and Response Distribution......Page 61
45 AHSME......Page 62
Some Comments on the Distractors......Page 67
Answers and Response Distribution......Page 68
40 AHSME Solutions......Page 72
41 AHSME Solutions......Page 90
42 AHSME Solutions......Page 110
43 AHSME Solutions......Page 132
44 AHSME Solutions......Page 154
45 AHSME Solutions......Page 182
An Insider's Look at the AHSME Problems......Page 200
Solutions Affect Interest in Problem......Page 201
Problem Difficulty......Page 202
Problems on Applications......Page 203
Fashion in Problems......Page 204
Most Problems are Fresh......Page 205
Sensitivity and Problems......Page 206
AHSME Constants......Page 207
Multiple Choice......Page 208
AHSME Variables......Page 209
Inside Jokes......Page 210
Tools for Mathematics Competitions......Page 212
A Geometric Tool......Page 214
Number Theory Tools......Page 215
A Logarithmic Tool......Page 216
The Tool of Mathematical Induction......Page 217
Tools for Exponential Equations......Page 219
Euler's Formula......Page 220
One Final Comment on Problem-Solving......Page 221
Algebra......Page 224
Discrete Mathematics......Page 227
Geometry......Page 229
Statistics......Page 232
Trigonometry......Page 233