Contest Problem Book III: Annual High School Contest 1966-1972
By addebook • Jul 14th, 2008 • Category: Mathematics •
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Contest Problem Book III: Annual High School Contest 1966-1972 (New Mathematical Library 25)
Contest Problem Book III: Annual High School Contest 1966-1972 : Of the Mathematical Association of America : Society of Actuaries : Mu Alpha Theta (New Mathematical Library)
By Charles T. Salkind, James M. Earl
Publisher: Mathematical Association of America (MAA)
Number Of Pages: 192
Publication Date: 1973-06
ISBN-10 / ASIN: 0883856255
ISBN-13 / EAN: 9780883856253
Binding: Paperback
The annual high school contests have been sponsored since 1950 by the Mathematical association of America and the Society of Actuaries, and more recently by Mu Alpha Theta (1965), the National Council of Teachers of Mathematics (1967) and the Casualty Actuarial Society (1971). Problems from the contests during the period 1950-1960 are published in Volume 5 of the New Mathematical Library, and those for 1961-1965 are published in Volume 17. The New Mathematical Library will continue to publish these contest problems from time-to-time; the present volume contains those from the period 1966-1972. The questions were compiled by Professor C.T. Salkind until his death, and since 1968 by Professor J.M. Earl, who died on November 25, 1972 after submitting problems for the 1973 contest. Professors Earl and Salkind also prepared the solutions for the contest problems. In preparing this and the earlier Contest Problem Books the editors of the NML have expanded these solutions and added alternative solutions.
Summary: A good source of challenging mathematics problems.
Rating: 4
This text compiles the American High School Mathematics Examinations, now called the American Mathematics Competition (AMC), for the years 1966 - 1972. The book contains the questions, their answers and solutions, and a listing of the problems classified by topic. Each examination contains 35 multiple choice questions meant to be answered without the aid of a calculator. In 1966, a penalty was introduced for wrong answers in order to discourage random guessing.
Each examination contains four sections, which are progressively more challenging. The first three contain ten questions apiece, and the last section contains five questions. The editors state that the problems in the first two sections are meant to test for understanding of basic concepts, while the latter sections are meant to test for the ability to apply skills to new situations. The problems draw upon the high school curriculum, but a knowledge of modular arithmetic is helpful. In the subject index, the topics listed include algebra, arithmetic, geometry, and miscellaneous problems drawn from combinatorics, number theory, logic, probability, and set theory. The problems range in difficulty from routine problems to those that require considerable ingenuity to solve.
The format of the book allows you to solve the problems and check your answers before looking at the solutions. Reading the authors’ solutions is instructive, as they provide elegant solutions to the problems and sometimes provide alternative solutions. Also, some of the solutions contain interesting comments about related problems.
Working through this text will help develop your problem solving skills. It could prove useful in preparing for the American Mathematics Competition. However, the format and some of the contents of the test have changed since these examinations were administered. Working through the fifth, sixth, or seventh volumes of this series would be preferable if you are preparing for the AMC. The Contest Problem Book V: American High School Mathematics Examinations (AHSME) / American Invitational Mathematics Examinations (AIME) 1983-1988 (Anneli Lax New Mathematical Library) is the only one that contains problems from the American Invitational Mathematics Examination (AIME), for which high scorers on the AMC qualify.
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