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• 2007 AMC 10B Problems/Problem 19
  ...lumn/row probabilities are the same, with the same number of shaded and non-shaded squares ...urse, still have the same probability. Because the number of shaded and non-shaded squares are equal, we have <cmath> \frac{1}{2} </cmath>
  5 KB (723 words) - 10:58, 27 October 2021
• 1966 IMO Problems/Problem 5
  ..._2 - a_3| x_3 +|a_2 - a_4| x_4 = 1\\ |a_3 - a_1| x_1 +|a_3 - a_2| x_2 +|a_3-a_4|x_4= 1\\ |a_4 - a_1| x_1 +|a_4 - a_2| x_2 +|a_4 - a_3| x_3 = 1</math> {{IMO box|year=1966|num-b=4|num-a=6}}
  944 bytes (175 words) - 12:53, 29 January 2021
• 2010 PUMaC Problems
  Find the sum of the coefficients of the polynomial <math>(63x-61)^4</math>. Calculate <math>{\sum_{n=1}^\infty\left(\lfloor\sqrt[n]{2010}\rfloor-1\right)}</math> where <math>\lfloor x\rfloor</math> is the largest integer
  22 KB (3,694 words) - 23:58, 3 June 2022
• 1973 Canadian MO Problems
  Find all real numbers that satisfy the equation <math>|x+3|-|x-1|=x+1</math>. (Note: <math>|a| = a</math> if <math>a\ge 0; |a|=-a</math> if Prove that <math>n+h(1)+h(2)+h(3)+\cdots+h(n-1) = nh(n)\qquad</math> for <math>n=2,3,4,\ldots</math>
  4 KB (540 words) - 18:23, 8 October 2014
• 2003 IMO Shortlist Problems
  1 KB (156 words) - 12:39, 5 September 2012
• 2008 IMO Shortlist Problems
  1 KB (151 words) - 12:43, 5 September 2012
• 2009 IMO Shortlist Problems
  1 KB (171 words) - 12:47, 5 September 2012
• 2010 IMO Shortlist Problems
  1 KB (161 words) - 12:51, 5 September 2012
• 2011 IMO Shortlist Problems
  1 KB (171 words) - 12:53, 5 September 2012
• 2008 AMC 8 Problems/Problem 25
  ...ath>144\pi</math>. The area of the black regions is <math>(100-64)\pi + (36-16)\pi + 4\pi = 60\pi</math>. The percentage of the design that is black is {{AMC8 box|year=2008|num-b=24|after=Last Problem}}
  1 KB (227 words) - 20:38, 2 January 2023
• 2008 AMC 8 Problems
  ...F LUCK}</math> represents the ten digits <math>0-9</math>, in order. What 4-digit number is represented by the code word <math>\text{CLUE}</math>? investment showed a <math>20\%</math> gain. Over the two-year period, what was the change
  14 KB (2,035 words) - 15:23, 26 January 2024
• 2013 AIME I Problems
  ...riathlon consists of a half-mile swim, a 30-mile bicycle ride, and an eight-mile run. Tom swims, bicycles, and runs at constant rates. He runs fives tim Find the number of five-digit positive integers, <math>n</math>, that satisfy the following conditio
  9 KB (1,580 words) - 13:07, 24 February 2024
• 2013 AIME I Problems/Problem 9
  pair M = (a*B+(12-a)*K) / 12; pair N = (b*C+(12-b)*K) / 12;
  9 KB (1,530 words) - 17:12, 18 April 2024
• North Carolina ARML
  {| class="wikitable" style="text-align:center; width:200px; height:200px;"
  2 KB (343 words) - 14:55, 10 July 2022
• 1983 AHSME Problems
  [[File:pdfresizer.com-pdf-convert.png]] Let <math>f(x) = \frac{x+1}{x-1}</math>. Then for <math>x^2 \neq 1, f(-x)</math> is
  15 KB (2,309 words) - 23:43, 2 December 2021
• 1978 AHSME Problems
  For all non-zero numbers <math>x</math> and <math>y</math> such that <math>x = 1/y</math \textbf{(D) }x^2-y^2\qquad
  15 KB (2,432 words) - 01:06, 22 February 2024
• 1973 Canadian MO Problems/Problem 4
  {{CanadaMO box|year=1973||num-b=3||num-a=5}}
  1 KB (165 words) - 18:24, 8 October 2014
• 2011 UNCO Math Contest II Problems
  For Colorado Students Grades 7-12 P=unit(A1-D1)+D1;
  5 KB (846 words) - 22:10, 7 November 2014
• 2011 UNCO Math Contest II Problems/Problem 3
  P=unit(A1-D1)+D1; R=unit(C1-D1)+D1;
  687 bytes (111 words) - 18:55, 5 May 2019
• 2015 UNCO Math Contest II Problems
  Twenty-third Annual UNC Math Contest Final Round January 31, 2015. (a) How many different five-move paths start at the center node and end at the center node?
  7 KB (1,151 words) - 15:11, 20 August 2020

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