The contest problem book VI : American high school mathematics examinations 1989-1994 / compiled and augmented by Leo J. Schneider.

Format:

Book

Author/Creator:

Schneider, Leo J.

Series:

Anneli Lax New Mathematical Library

Anneli Lax new mathematical library ; v. 40

Language:

English

Subjects (All):

Mathematics--Problems, exercises, etc.

Mathematics.

Mathematics--Examinations, questions, etc.

Mathematics--Competitions--United States.

American High School Mathematics Examination (Competition).

American Invitational Mathematics Examination (Competition).

Physical Description:

1 online resource (xx, 212 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Contest problem book 6

Place of Publication:

Washington, DC : Mathematical Association of America, c2000.

Language Note:

English

Summary:

Contest Problem Book VI chronicles the high school competitions sponsored by the Mathematical Association of America. It contains 180 challenging problems from the six years of the American High School Mathematics Examination [AHSME], 1989 through 1994, as well as a selection of other problems. Many problem solving techniques for problems in this book show alternative approaches that appear in print for the first time. Some aspects of mathematical problem solving unique to competitions is discussed. Useful tools are selected from important areas of high school mathematics. A Problems Index classified the 180 problems in the book into subject areas: Algebra (with 65 subclasses), Complex Numbers (with 11 subclasses), Discrete Mathematics (with 20 subclasses), Geometry (with 43 subclasses), Number Theory (with 24 subclasses), Statistics (with 5 subclasses), and Trigonometry (with 12 subclasses). Many subclasses have sub-subclasses, some with over a dozen. The Pigeon Hole Principle proves that some problems must appear in more than one class. That, in fact, is the case! Outstanding problems combine elementary techniques from diverse areas of mathematics, occasionally three or more. You will find many of them here.

Contents:

""Cover ""; ""Title page ""; ""Contents""; ""Preface""; ""How To Use This Book""; ""Special Notation""; ""AHSME Honor Roll""; ""The Difficulty of the AHSME""; ""Related Mathematics Competitions""; ""Related Problem Solving References""; ""Use of calculators""; ""Generating the Examinations""; ""Reaction to these tests""; ""Creating the Problems""; ""Acknowledgments""; ""Sponsors""; ""Name""; ""AHSME RULES""; ""40 AHSME""; ""Some Comments on the Distractors""; ""Answers and Response Distribution""; ""41 AHSME""; ""Some Comments on the Distractors""; ""Answers and Response Distribution""

""42 AHSME""""Some Comments on the Distractors""; ""Answers and Response Distribution""; ""43 AHSME""; ""Some Comments on the Distractors""; ""Answers and Response Distribution""; ""44 AHSME""; ""Some Comments on the Distractors""; ""Answers and Response Distribution""; ""45 AHSME""; ""Some Comments on the Distractors""; ""Answers and Response Distribution""; ""Solutions ""; ""40 AHSME Solutions""; ""41 AHSME Solutions""; ""42 AHSME Solutions""; ""43 AHSME Solutions""; ""44 AHSME Solutions""; ""45 AHSME Solutions""; ""An Insider's Look at the AHSME Problems""

""Solutions Affect Interest in Problem""""Problem Difficulty""; ""Problems on Applications""; ""Auxiliary Lines""; ""Fashion in Problems""; ""Problem Clarity""; ""Most Problems are Fresh""; ""Sensitivity and Problems""; ""AHSME Constants""; ""Multiple Choice""; ""AHSME Variables""; ""Inside Jokes""; ""Mathematical Problem Solving for Competitions""; ""Tools for Mathematics Competitions""; ""A Geometric Tool""; ""Number Theory Tools""; ""A Logarithmic Tool""; ""The Tool of Mathematical Induction""; ""Tools for Exponential Equations""; ""Euler's Formula""

""One Final Comment on Problem-Solving""""Classification of Problems""; ""Algebra""; ""Complex Numbers""; ""Discrete Mathematics""; ""Geometry""; ""Number Theory""; ""Statistics""; ""Trigonometry""

Notes:

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

ISBN:

0-88385-954-8