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- ...to take the prestigious [[United States of America Mathematics Olympiad]] (USAMO) for qualification from taking the [[AMC 12]] or [[United States of America ...ministered by the [[Mathematical Association of America]] (MAA). [[Art of Problem Solving]] (AoPS) is a proud sponsor of the AMC.5 KB (669 words) - 17:19, 11 March 2025
- * [[United States of America Mathematics Olympiad]] (USAMO) — high AIME and AMC scorers. The top students on the USAMO are invited to participate in the [[Mathematical Olympiad Summer Program]],5 KB (696 words) - 03:47, 24 December 2019
- Problems from the '''1982 [[United States of America Mathematical Olympiad | USAMO]]'''. ==Problem 1==2 KB (348 words) - 22:36, 19 March 2020
- == Problem == ...d uniformly with respect to arc length. Determine the probability that the two triangles <math>ABC</math> and <math>DEF</math> are disjoint, i.e., have no2 KB (297 words) - 22:29, 17 July 2016
- Problems from the '''1983 [[USAMO]].''' ==Problem 1==2 KB (288 words) - 12:25, 18 July 2016
- Problems from the '''1984 [[USAMO]].''' ==Problem 1==2 KB (336 words) - 12:33, 18 July 2016
- == Problem == Each set of a finite family of subsets of a line is a union of two closed intervals. Moreover, any three of the sets of the family have a poin1 KB (225 words) - 18:03, 15 May 2020
- == Problem == In this solution, we employ several lemmas. Two we shall take for granted: given any point <math>A</math> and a line <math>5 KB (872 words) - 09:58, 19 July 2016
- ...etic mean is greater than or equal to its geometric mean. Furthermore, the two means are equal if and only if every number in the list is the same. ...<math>a_1+a_2+\cdots +a_n\ge n</math>. ([[Solution to AM - GM Introductory Problem 1|Solution]])5 KB (758 words) - 15:32, 22 February 2024
