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  • ...ed States at the [[International Mathematics Olympiad]] (IMO). While most AIME participants are high school students, some bright middle school students a ...Junior Mathematics Olympiad (USAJMO) for qualification from taking the AMC 10.
    8 KB (1,062 words) - 18:04, 17 January 2025
  • ...ake. Sometimes, the administrator may ask other people to sign up to write problems for the contest. ...AMC]] competition. There is no guarantee that community members will make Mock AMCs in any given year, but there probably will be one.
    51 KB (6,175 words) - 20:41, 27 November 2024
  • The '''Mock AIME 1 2005-2006''' was written by [[Art of Problem Solving]] community member paladin8. * [[Mock AIME 1 2005-2006/Answer Key|Answer Key]]
    1 KB (135 words) - 16:41, 21 January 2017
  • The '''Mock AIME 1 2006-2007''' was written by [[Art of Problem Solving]] community member Altheman. * [[Mock AIME 1 2006-2007/Problems|Entire Exam]]
    1 KB (155 words) - 15:06, 3 April 2012
  • The '''Mock AIME 2 2006-2007''' was written by [[Art of Problem Solving]] community member 4everwise. * [[Mock AIME 2 2006-2007 Problems|Entire Exam]]
    1 KB (145 words) - 09:55, 4 April 2012
  • ...athcal{S}</math>, we have that <math>\star (n)=12</math> and <math>0\le n< 10^{7}</math>. If <math>m</math> is the number of elements in <math>\mathcal{S ...h>m = 18564 - 7 - 42 - 42 - 105 = 18368</math> so <math>\star(m) = 1 + 8 + 3 + 6 + 8 = 026</math>.
    1 KB (188 words) - 14:53, 3 April 2012
  • ...=x^{2}</math>. The slopes of <math>AB</math> and <math>BC</math> are <math>10</math> and <math>-9</math>, respectively. If the <math>x</math>-coordinate ...th>a + b + c = 3</math>. From the first [[slope]] condition we have <math>10 = \frac{b^2 - a^2}{b - a} = b + a</math> and from the second slope conditio
    1 KB (244 words) - 14:21, 5 November 2012
  • ==Problem== Let <math>\triangle ABC</math> have <math>AC=6</math> and <math>BC=3</math>. Point <math>E</math> is such that <math>CE=1</math> and <math>AE=5<
    3 KB (518 words) - 15:54, 25 November 2015
  • ==Problem== ...=1</math>, and let <math>S</math> denote the [[infinite]] sum <math>S = a_{10}+a_{11}+a_{12}+...</math>. If the sum of all possible [[distinct]] values o
    5 KB (744 words) - 18:46, 20 October 2020
  • ==Problem== ...] of strings with only 0's or 1's with length <math>n</math> such that any 3 adjacent place numbers sum to at least 1. For example, <math>00100</math> w
    2 KB (424 words) - 14:51, 3 April 2012
  • ==Problem== ...mber of possible values of <math>m</math> between <math>0</math> and <math>10^{2007}</math>.
    2 KB (249 words) - 17:14, 3 April 2012
  • ==Problem== ...nd <math>n</math> are relatively prime positive integers. Compute the last 3 digits of <math>m+n</math>
    3 KB (414 words) - 12:45, 19 February 2016
  • ==Problem 1== [[Mock AIME 1 2006-2007 Problems/Problem 1|Solution]]
    8 KB (1,355 words) - 13:54, 21 August 2020
  • ==Problem== ...h>\triangle ABC</math> is 13 and the area of <math>\triangle ACF</math> is 3. If <math>\frac{CE}{EA}=\frac{p+\sqrt{q}}{r}</math>, where <math>p</math>,
    2 KB (325 words) - 18:33, 9 February 2017
  • In the context of problem-solving, the characteristic polynomial is often used to find closed forms f ...can be solved for each constant. Refer to the [[#Introductory|introductory problems]] below to see an example of how to do this. In particular, for the Fibonac
    19 KB (3,412 words) - 13:57, 21 September 2022
  • ...contains the full set of test problems. The rest contain each individual problem and its solution. The Mock AIME 5 2006-2007 was written by Art of Problem Solving community member Altheman.
    1 KB (172 words) - 13:37, 3 July 2012
  • ...contains the full set of test problems. The rest contain each individual problem and its solution. The Mock AIME 6 2006-2007 was written by Art of Problem Solving community member paladin8.
    1 KB (172 words) - 13:39, 3 July 2012
  • ...contains the full set of test problems. The rest contain each individual problem and its solution. The Mock AIME 7 2006-2007 was written by Art of Problem Solving community member Altheman.
    1 KB (160 words) - 13:44, 3 July 2012
  • ==Problem 1== [[Mock AIME 6 2006-2007 Problems/Problem 1|Solution]]
    7 KB (1,173 words) - 20:04, 7 December 2018