The Contest Problem Book I: Annual High School Mathematics Examinations 1950-1960 (New Mathematical Lib) (Bk. 1)

A great many students have participated annually in the Annual High School Mathematics Examination (AHSME) sponsored by the Mathematical Association of America (MAA) and four other national organizations in the mathematical sciences.* In 1960, 150,000 students participated from about 5,200 high schools. In 1980, 416,000 students participated from over 6,800 high schools. Since 1950, when the first of these examinations was given., American high school students have tested their skills and ingenuity on such problem as: The rails on a railroad are 30 feet long. As the train passes over the point where the rails are joined, there is an audible click. The speed of the train in miles per hour is approximately the number of clicks heard in how many seconds? and many others, based on the high school curriculum in mathematics. Front Cover......Page 1 The Contest Problem Book I: Annual High School Mathematics Examinations 1950–1960......Page 2 Copyright Page......Page 5 TABLE OF CONTENTS......Page 6 Preface......Page 8 List of Symbols......Page 11 1950 Examination......Page 12 1951 Examination......Page 18 1952 Examination......Page 24 1953 Examination......Page 31 1954 Examination......Page 37 1955 Examination......Page 43 1956 Examination......Page 50 1957 Examination......Page 55 1958 Examination......Page 63 1959 Examination......Page 69 1960 Examination......Page 75 Chapter II. Answer Keys......Page 82 1950 Solutions......Page 86 1951 Solutions......Page 93 1952 Solutions......Page 99 1953 Solutions......Page 106 1954 Solutions......Page 112 1955 Solutions......Page 119 1956 Solutions......Page 125 1957 Solutions......Page 131 1958 Solutions......Page 136 1959 Solutions......Page 143 1960 Solutions......Page 149 Chapter IV. Classification of Problems......Page 157 Back Cover......Page 164 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 Casulty Actuarial Society (1971). Problems from the contests during the periods 1950-1960 are published in Volume 5 of the New Mathematical Library, and those for 1966-1972 are published in Volume 25. This volume contains those for the period 1961-1965. The questions were compiled by C.T. Salkind, Chairman of the Committee on High School Contests during the period, who also prepared the solutions for the contest problems. Professor Salkind died in 1968. In preparing this and the other Contest Problem Books, the editors of the NML have expanded these solutions with added alternative solutions