Problems: Examination - Examination , 2. Answer Keys, 3. Solutions: Solutions - Solutions , 4. Classification of Problems. In , , students participated from about 5, high schools. In , , students participated from over 6, high schools. Since , 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. The major subject areas are then broken down into subcategories for ease of reference.
The problems are cross-referenced when they represent several subject areas. A Problems Index classifies the problems in the book into subject areas: algebra, complex numbers, discrete mathematics, number theory, statistics, and trigonometry. The New Mexico Mathematics Contest for high-school students has been held annually since Each November, thousands of middle- and high-school students from all over New Mexico converge to battle with elementary but tricky math problems.
The highest-scoring students meet for the second round the following February at the University of New Mexico in Albuquerque where they listen to a prominent mathematician give a keynote lecture, have lunch, and then get down to round two, an even more challenging set of mathematical mind-twisters.
Liong-shin Hahn was charged with the task of creating a new set of problems each year for the New Mexico Mathematics Contest, In this volume, Hahn has collected the best problems to appear in these contests over the last decades.
They range from the simple to the highly challenging--none are trivial. The solutions contain many clever analyses and often display uncommon ingenuity. His questions are always interesting and relevant to teenage contestants. In the contest there were only 30 problems but there were years with 50, 40, and 35 problems. On overage, the difficulty of the problems has increased.
Interestingly, so has the scope of the problems apparently following changes in the curriculum. A curious indicator is a list of symbols in the books that was expanding over time. All books except for II contain a List of Symbols. There are 15 in the first one and more than 40 in the fourth. The fourth book contains symbols from Set Theory, sums, determinants, finite differences. It goes without saying that the books provide a convenient tool for preparation for the future AMC.
To that end, they could be used by ambitious or homeschooled students or by teachers and coaches. They may also be recommended to middle school math circles. Commonly math circles go way beyond the curriculum, probably under the assumption that there is nothing exciting in school mathematics. The contest books contain fine counterexamples but, more than that, if the task is to find several solutions to a problem, then even the more routine problems may form a starting point for en engaging activity.
Contest Problem Book I , by C. MAA, ISBN Salkind, J. Artino, A. Gaglione, N. Up Contact Front page Contents. What is what? Salkind I-II , J.
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