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• 2012 AIME I Problems/Problem 2
  ==Problem== ...a_i + (2i - 1) = n^2 + \sum_{i=1}^{n} a_i.</math> Therefore, <math>836 = n^2 + 715 \rightarrow n=11.</math> Now the middle term of the original sequence
  4 KB (587 words) - 19:59, 26 February 2025
• Mock AIME I 2012 Problems/Problem 2
  ==Problem== A permutation of the numbers <math>\{2</math>, <math>3</math>, <math>4</math>, <math>\cdots</math>, <math>9\}</mat
  3 KB (422 words) - 10:13, 8 April 2012

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• Arithmetic sequence
  For example, <math>1, 2, 3, 4</math> is an arithmetic sequence with common difference <math>1</math ...-1}, a_n, a_{n+1}</math>. In symbols, <math>a_n = \frac{a_{n-1} + a_{n+1}}{2}</math>. This is mostly used to perform substitutions, though it occasional
  4 KB (736 words) - 01:00, 7 March 2024
• Mock AMC
  ...A number of '''Mock AMC''' competitions have been hosted on the [[Art of Problem Solving]] message boards. They are generally made by one community member ...amous theorems and formulas and see if there's any way you can make a good problem out of them.
  51 KB (6,175 words) - 20:41, 27 November 2024
• AIME Problems and Solutions
  ...in the AoPSWiki, please consider adding them. Also, if you notice that a problem in the Wiki differs from the original wording, feel free to correct it. Fi ! Year || Test I || Test II
  3 KB (400 words) - 19:21, 13 February 2025
• Radical axis
  ...how radical axis theory can be used and why it pertains to that situation. I hope after you read this text, you will become a better math student, armed ...e dubbed <math>pow(P, \omega)</math>, is defined to equal <math>|OP|^2 - r^2</math>.
  12 KB (2,125 words) - 07:38, 23 May 2024
• 2011 AIME II
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2011 AIME II Problems]]
  1 KB (156 words) - 18:47, 15 July 2020
• 2011 AIME II Problems
  {{AIME Problems|year=2011|n=II}} == Problem 1 ==
  8 KB (1,301 words) - 07:43, 11 October 2020
• 2012 AIME I
  ...contains the full set of test problems. The rest contain each individual problem and its solution. *[[2012 AIME I Problems]]
  1 KB (155 words) - 16:10, 15 March 2013
• 2012 AIME I Problems/Problem 10
  ==Problem== ...the corresponding element in <math>\mathcal{T}</math> is <math>\frac{2484^2 - 256}{1000} = 6170 \rightarrow \boxed{170.}</math>
  8 KB (1,338 words) - 17:08, 7 September 2024
• 2012 AIME I Problems/Problem 6
  ==Problem == ...at <math>71</math> is prime and <math>k<71</math> by the conditions of the problem, so the denominator in the argument of this value will always be <math>71.<
  1 KB (233 words) - 16:15, 30 July 2022
• 2012 AIME I Problems/Problem 1
  == Problem== ...t be either <math>2</math> or <math>6</math>. There are thus <math>2 \cdot 2 = 4</math> ways to choose <math>a</math> and <math>c</math> for each <math>
  3 KB (486 words) - 02:59, 21 January 2023
• 2012 AIME I Problems/Problem 2
  ==Problem== ...a_i + (2i - 1) = n^2 + \sum_{i=1}^{n} a_i.</math> Therefore, <math>836 = n^2 + 715 \rightarrow n=11.</math> Now the middle term of the original sequence
  4 KB (587 words) - 19:59, 26 February 2025
• 2012 AIME I Problems/Problem 3
  ==Problem== The problem we must solve is to distribute meals <math>\text{BBCCCFFF}</math> to orders
  4 KB (723 words) - 16:17, 7 September 2024
• 2012 AIME I Problems/Problem 4
  == Problem == ...rky, Butch, and Sundance walk at <math>6,</math> <math>4,</math> and <math>2.5</math> miles per hour, respectively. The first time Butch and Sundance me
  2 KB (306 words) - 21:28, 1 January 2023
• 2012 AIME I Problems
  {{AIME Problems|year=2012|n=I}} == Problem 1 ==
  10 KB (1,617 words) - 13:49, 2 June 2023
• 2012 AIME I Problems/Problem 7
  ==Problem== pair B = 2*dir(54), C = 2*dir(126), D = 2*dir(198), E = 2*dir(270), F = 2*dir(342);
  6 KB (1,058 words) - 00:49, 25 November 2023
• 2012 AIME I Problems/Problem 9
  == Problem == <cmath>2\log_{x}(2y) = 2\log_{2x}(4z) = \log_{2x^4}(8yz) \ne 0.</cmath>
  5 KB (837 words) - 00:11, 1 January 2025
• 2012 AIME I Problems/Problem 11
  ==Problem== ...ich may be any of the points <math>(x_n + 7, y_n + 2),</math> <math>(x_n + 2, y_n + 7),</math> <math>(x_n - 5, y_n - 10),</math> or <math>(x_n - 10, y_n
  4 KB (798 words) - 19:32, 24 January 2021
• 2012 AIME I Problems/Problem 12
  ==Problem== dot("$E$",E0,2*NE);
  10 KB (1,682 words) - 00:26, 12 September 2024
• 2012 AIME I Problems/Problem 13
  ==Problem== Reinterpret the problem in the following manner. Equilateral triangle <math>ABC</math> has a point
  13 KB (2,146 words) - 12:15, 29 December 2024
• 2012 AIME I Problems/Problem 14
  ==Problem== ...vertices of a right triangle with hypotenuse <math>h.</math> Find <math>h^2.</math>
  14 KB (2,463 words) - 15:43, 19 September 2024

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