The contest problem book: American high school mathematics examinations and American invitational mathematics examinations 1983-1988, Volume 5
George Berzsenyi, Stephen B. Maurer
Mathematical Association of America, 1997 - Mathematics - 286 pages
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 & the USA Mathematical Olympiad (USAMO). The AIME has a unique answer format - all answers are integers between 0 & 999. New material, not included in premenu contents books is: * a comprehensive guide to other problem materials world wide, * additional solutions, * dropped problems, * statistical information, * information on test development & history. This volume is a must for avid fans of elementary problems. Contest Books I-IV appear as NML volumes 5, 17, 25, & 29. See below.
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ABCD adjoining figure AHSME problem AIME algebra Alternative Solution altitude angle area of AABC average base circle complex numbers compute cube denote digit sum distance distinct divide divisor equal equivalent exactly exam Exterior Angle Theorem factor follows formula geometry George Berzsenyi given equation graph H. S. M. Coxeter hence inequality International Mathematical International Mathematical Olympiads intersect largest Law of Cosines Law of Sines Mathematical Olympiads Mathematics Competitions multiple nonnegative Note obtain pairs parabola plane points polyhedron polynomial positive integers possible prime probability Problem Book Pythagorean Theorem quadratic radius ratio real numbers rectangle right triangle S. L. Greitzer satisfy School Mathematics Examinations score segment sequence shown slope smallest socks Solving subsets tangent term number Theorem total number tournament triangle ABC Triangle Inequality USAMO vertex vertices x-axis yields