2012 aime problems pdf

Org email requests should include the schools ceeb number and complete mailing address, teacher name, teacher email address, number of students taking the. The american invitational mathematics examination aime is a selective 15question 3hour. American invitational mathematics examination wikipedia. At a certain university, the division of mathematical sciences consists of the departments of mathematics, statistics, and computer science. If you find problems that are in the resources section which are not in. Math texts, online classes, and more for students in grades 512. All aime answer forms must be returned by express mail so that they arrive in the amc office by march 30, 2012.

Problem 12 let be a right triangle with right angle at let and be points on with between and such that and trisect if then can be written as where and are relatively prime positive integers, and is a positive integer not divisible by the square of any prime. The second aime on wednesday, march 28, 2012 is a new set of 15 questions, completely different from, but comparable in difficulty to the aime on march 15, 2012. The rest contain each individual problem and its solution. They are listed more or less in order of increasing di. Participation in the aime and the usamo is by invitation only, based on performance in the preceding exams of the sequence. It is better to give than to receive especially advice mark twain. If you complete a problem, use the remaining time to try one of the others. Two geometric sequences and have the same common ratio, with, and. This would probably include the 2016 aime i, 2015 aime i, both 2014 aimes, both 20 aimes. A good amount of the most recent tests are what i would call regular difficulty. The mathematical olympiad summer program mosp is a fourweek, intense train. Judging by past aime statistics, here is what i have to say about this.

624 659 588 1429 1611 1100 320 398 903 29 392 639 1559 1024 317 514 921 310 712 1042 202 154 12 1011 651 529 115 1408 367 1494 163 1218 631