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• Mock AIME 5 2005-2006 Problems/Problem 12
  == Problem == <math>Or,AD=12</math>
  2 KB (294 words) - 16:24, 24 August 2022

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• American Invitational Mathematics Examination
  ...ed States at the [[International Mathematics Olympiad]] (IMO). While most AIME participants are high school students, some bright middle school students a ...erica Mathematics Olympiad]] (USAMO) for qualification from taking the AMC 12 or United States of America Junior Mathematics Olympiad (USAJMO) for qualif
  8 KB (1,057 words) - 12:02, 25 February 2024
• Mock AMC
  ...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) - 20:58, 6 December 2023
• Mock AIME 1 2005-2006
  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) - 17:41, 21 January 2017
• Mock AIME 1 2006-2007
  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) - 16:06, 3 April 2012
• Mock AIME 2 2006-2007
  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) - 10:55, 4 April 2012
• Mock AIME 1 2006-2007 Problems/Problem 2
  ...s <math>n</math> in <math>\mathcal{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 ...th> place 10 into one box and 2 into a second. <math>7 \cdot \frac{6\cdot 5}{2} = 105</math> place 10 into one box and 1 into each of two others. Thus
  1 KB (188 words) - 15:53, 3 April 2012
• Mock AIME 1 2006-2007 Problems/Problem 4
  ...math>, so our three vertices are <math>(-7, 49), (-2, 4)</math> and <math>(12, 144)</math>. *[[Mock AIME 1 2006-2007 Problems/Problem 3 | Previous Problem]]
  1 KB (244 words) - 15:21, 5 November 2012
• Mock AIME 1 2006-2007 Problems/Problem 8
  ==Problem== ...), B=expi(pi*5/12), C=(0,0), D=expi(0), E=expi(0)+expi(pi/12), P=expi(pi*5/12)+expi(0);
  1 KB (244 words) - 14:54, 21 August 2020
• Mock AIME 1 2006-2007 Problems/Problem 9
  ==Problem== ...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 of <math>S</mat
  5 KB (744 words) - 19:46, 20 October 2020
• Mock AIME 1 2006-2007 Problems/Problem 13
  ==Problem== ...math>d_{2}=2</math>, <math>d_{3}=3</math>, <math>d_{4}=-7</math>, <math>d_{5}=13</math>, and <math>d_{6}=-16</math>, find <math>d_{7}</math>.
  3 KB (568 words) - 15:50, 3 April 2012
• Mock AIME 1 2006-2007/Problems
  ==Problem 1== [[Mock AIME 1 2006-2007 Problems/Problem 1|Solution]]
  8 KB (1,355 words) - 14:54, 21 August 2020
• Mock AIME 5 2005-2006 Problems/Problem 1
  == Problem == ...sors of <math>n</math> less than <math>50</math> (e.g. <math>f(12) = 2+3 = 5</math> and <math>f(101) = 0</math>). Evaluate the remainder when <math>f(1)
  2 KB (209 words) - 12:43, 10 August 2019
• Characteristic polynomial
  In the context of problem-solving, the characteristic polynomial is often used to find closed forms f <center><cmath>P_A(t) = \begin{vmatrix}t-a_{11} & -a_{12} & \cdots & -a_{1n} \\ -a_{21} & t-a_{22} & \cdots & -a_{2n} \\ \vdots & \v
  19 KB (3,412 words) - 14:57, 21 September 2022
• Mock AIME 5 2006-2007
  ...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) - 14:37, 3 July 2012
• Mock AIME 6 2006-2007
  ...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) - 14:39, 3 July 2012
• Mock AIME 7 2006-2007
  ...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) - 14:44, 3 July 2012
• Mock AIME 6 2006-2007 Problems
  ==Problem 1== [[Mock AIME 6 2006-2007 Problems/Problem 1|Solution]]
  7 KB (1,173 words) - 21:04, 7 December 2018
• Mock AIME 5 2005-2006 Problems/Problem 2
  == Problem == ...nternally tangent to a larger circle <math>\omega_2</math> of radius <math>12\sqrt{2}</math> such that the center of <math>\omega_2</math> lies on <math>
  752 bytes (117 words) - 21:16, 8 October 2014
• Mock AIME 5 2005-2006 Problems/Problem 11
  == Problem == {{Mock AIME box|year=2005-2006|n=5|source=76847|num-b=10|num-a=12}}
  786 bytes (131 words) - 21:19, 8 October 2014
• Mock AIME 5 2005-2006 Problems/Problem 12
  == Problem == <math>Or,AD=12</math>
  2 KB (294 words) - 16:24, 24 August 2022

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