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• 2000 AIME I Problems/Problem 1
  For <math>n = 1:</math> <cmath>2^1 = 2 , 5^1 = 5</cmath> {{AIME box|year=2000|n=I|before=First Question|num-a=2}}
  1 KB (174 words) - 12:31, 3 January 2025
• 2000 AIME II Problems/Problem 1
  <center><math>\frac 2{\log_4{2000^6}} + \frac 3{\log_5{2000^6}}</math></center> === Solution 1 ===
  3 KB (310 words) - 21:04, 9 October 2024

Page text matches

• Resources for mathematics competitions
  ...tions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to ...Sets [//competifyhub.com/resources/ Free Competition Resources for Grades 1-12]
  14 KB (1,913 words) - 23:52, 6 March 2025
• Simon's Favorite Factoring Trick
  ...nd make the equation factorable. It can be used to solve more than algebra problems, sometimes going into other topics such as number theory. == Fun Practice Problems ==
  4 KB (682 words) - 10:25, 18 February 2025
• Casework
  ...emonstrate casework in action. Unlike the selections in this article, most problems cannot be completely solved through casework. However, it is crucial as an While there are problems where casework produces the most elegant solution, in those where a shorter
  5 KB (709 words) - 17:40, 24 September 2024
• Prime factorization
  ==Problems== * Practice Problems from [https://artofproblemsolving.com/alcumus/ Alcumus]
  3 KB (496 words) - 22:14, 5 January 2024
• Fibonacci sequence
  ...term is the sum of the two preceding it. The first few terms are <math>1, 1, 2, 3, 5, 8, 13, 21, 34, 55,...</math>. ...[[recursion|recursively]] as <math>F_1 = F_2 = 1</math> and <math>F_n=F_{n-1}+F_{n-2}</math> for <math>n \geq 3</math>. This is the simplest nontrivial
  7 KB (1,111 words) - 14:57, 24 June 2024
• Complex number
  ...numbers''' arise when we try to solve [[equation]]s such as <math> x^2 = -1 </math>. ...this addition, we are not only able to find the solutions of <math> x^2 = -1 </math> but we can now find ''all'' solutions to ''every'' polynomial. (Se
  5 KB (860 words) - 15:36, 10 December 2023
• Floor function
  ...loor+\left\lfloor a+\frac{1}{n}\right\rfloor+\ldots+\left\lfloor a+\frac{n-1}{n}\right\rfloor</cmath> ...the leftover stuff after the decimal point. This can greatly simplify many problems.
  3 KB (508 words) - 21:05, 26 February 2024
• 2005 AIME I Problems/Problem 15
  == Solution 1== WLOG let E be be between C & D (as in solution 1). Assume <math>AD = 3m</math>. We use power of a point to get that
  5 KB (906 words) - 23:15, 6 January 2024
• 2000 AIME II
  ...I''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[2000 AIME II Problems]]
  1 KB (139 words) - 08:41, 7 September 2011
• 2001 AIME I
  ...I''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[2001 AIME I Problems]]
  1 KB (139 words) - 08:41, 7 September 2011
• 2000 AIME I
  ...I''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[2000 AIME I Problems]]
  1 KB (135 words) - 18:05, 30 May 2015
• 1999 AIME
  ...E''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[1999 AIME Problems]]
  1 KB (118 words) - 08:41, 7 September 2011
• 1987 AIME Problems
  {{AIME Problems|year=1987}} == Problem 1 ==
  6 KB (869 words) - 15:34, 22 August 2023
• 1992 AIME Problems
  {{AIME Problems|year=1992}} == Problem 1 ==
  8 KB (1,117 words) - 05:32, 11 November 2023
• 1999 AIME Problems
  {{AIME Problems|year=1999}} == Problem 1 ==
  7 KB (1,094 words) - 13:39, 16 August 2020
• 2000 AIME I Problems
  {{AIME Problems|year=2000|n=I}} == Problem 1 ==
  7 KB (1,204 words) - 03:40, 4 January 2023
• 2001 AIME I Problems
  {{AIME Problems|year=2001|n=I}} == Problem 1 ==
  7 KB (1,220 words) - 14:05, 24 November 2024
• 2000 AIME II Problems
  {{AIME Problems|year=2000|n=II}} == Problem 1 ==
  6 KB (947 words) - 21:11, 19 February 2019
• 1987 AIME Problems/Problem 7
  ...ch <math>[a,b] = 1000</math>, <math>[b,c] = 2000</math>, and <math>[c,a] = 2000</math>. ==Solution 1==
  3 KB (547 words) - 10:00, 18 June 2024
• 1989 AIME Problems/Problem 11
  A sample of 121 [[integer]]s is given, each between 1 and 1000 inclusive, with repetitions allowed. The sample has a unique [[mod == Solution 1 ==
  5 KB (851 words) - 18:01, 28 December 2022

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