International Mathematical Olympiads, 1959-1977Every year 100 of the most mathematically talented high school students in the country compete in the USA Mathematical Olympiad (USAMO). The USAMO is the third stage of a three-tiered mathematical competition for high school students in the United States and Canada that begins with the AHSME taken by over 400,000 students, continues with the American Invitational Mathematics Exam involving 2,000 students, and culminates with the 100-contestant USAMO. Winners of the USAMO go on to compete in the International Mathematical Olympiad. Compilation of 116 problems of arresting ingenuity given to high school students competing in the International Mathematical Olympiads. All are accessible to secondary school students. The alternative solutions are particularly interesting because they show that there are many ways to solve a problem. |
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Common terms and phrases
AABC ABCD Adding altitude angles base circle coefficients common completes conclude Consider construct convex defined denote Determine diameter distance distinct divided divisible edges elements equal equation equivalent exists expression fact factor Figure follows four function geometric given Hence holds implies inequality inscribed integer International Olympiad intersection least length lies Mathematical matrix mean midpoint multiple natural numbers obtain origin pairs parallel path perpendicular plane points polynomial positive possible prime problem proof Prove quadratic quadrilateral radius rational remaining Remark respectively result roots satisfy Second solution segment sides Similarly solution solve sphere square Suppose tetrahedron theorem triangle unit values vectors vertex vertices volume write written yields zero
Bibliographic information
| Title | International Mathematical Olympiads, 1959-1977 Volume 27 of Anneli Lax New Mathematical Library International Mathematical Olympiads, 1959-1977, Samuel L. Greitzer, ISBN 088385600X, 9780883856000 Issue 27 of New mathematical library, Mathematical Association of America, ISSN 0548-5932 |
| Editor | Samuel L. Greitzer |
| Compiled by | Samuel L. Greitzer |
| Contributor | Mathematical Association of America |
| Edition | 5 |
| Publisher | Mathematical Association of America, 1978 |
| Original from | University of Minnesota |
| Digitized | Jan 15, 2010 |
| ISBN | 0883856271, 9780883856277 |
| Length | 204 pages |
| Subjects | › Mathematics / General |
| Export Citation | BiBTeX EndNote RefMan |