The Contest Problem Book V: American High School Mathematics Examinations

✍ Scribed by George Berzsenyi, Stephen B. Maurer

• Publisher: Mathematical Assn of Amer
• Year: 1997
• Tongue: English
• Leaves: 307
• Series: AHSME) / American Invitational Mathematics Examinations (AIME) 1983-1988 (Anneli Lax New Mathematical Library
• Category: Library

✦ Synopsis

This book will be of interest to anyone of any age who likes good problems. Pre-calculus background is presumed. Over the years perhaps the most popular of the MAA problem books have been the high school contest books, covering the yearly American High School Mathematics Examinations (AHSME) that began in 1950, co-sponsored from the start by the MAA. Book V also includes the first six years of the American Invitational Mathematics Examination (AIME) which was developed as an intermediate step between the AHSME and the USA Mathematical Olympiad (USAMO). The AIME has a unique answer format--all answers are integers between 0 and 999. The editors of this volume, George Berzsenyi and Stephen B. Maurer, were respectively the chairs of the AIME and the AHSME. In addition to a thorough index, they have added material to Contest Problem Book V not included in Contest Books I–IV, such as: a comprehensive worldwide guide to other problem materials, additional solutions to selected problems, and information on the development and history of the AHSME, AIME, and USAMO tests.

✦ Table of Contents

Front Cover......Page 1
The Contest Problem Book V......Page 4
Copyright Page......Page 3
Contents......Page 6
Preface......Page 8
1983AHSME......Page 22
1984AHSME......Page 28
1985 AHSME......Page 34
1986AHSME......Page 40
1987 AHSME......Page 47
1988 AHSME......Page 54
Dropped AHSME Problems......Page 61
Answer Key......Page 72
Response Frequency Tables......Page 73
1983 AHSME Solutions......Page 80
1984 AHSME Solutions......Page 94
1985 AHSME Solutions......Page 106
1986 AHSME Solutions......Page 121
1987 AHSME Solutions......Page 134
1988 AHSME Solutions......Page 149
Solutions to Dropped AHSME Problems......Page 160
1983AIME......Page 178
1984AIME......Page 181
1985AIME......Page 184
1986AIME......Page 187
1987AIME......Page 190
1988AIME......Page 193
Dropped AIME Problems......Page 196
Answer Key......Page 199
1983 AIME Solutions......Page 200
1984 AIME Solutions......Page 213
1985 AIME Solutions......Page 225
1986 AIME Solutions......Page 237
1987 AIME Solutions......Page 251
1988 AIME Solutions......Page 261
Solutions to Dropped AIME Problems......Page 271
A Guide to the Problem Literature......Page 282
Classification of Problems......Page 298