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• 2007 AIME II Problems/Problem 7
  ...69=\boxed{553}</math> is the maximum value of <math>\frac{n_i}{k}</math>. (Remember we set <math>n_i</math> equal to <math>k^3 + (i - 1)k</math>!)
  3 KB (428 words) - 18:04, 4 December 2020
• Pascal Triangle Related Problems
  1. You need to find the 6th number (remember the first number in each row is considered the 0th number) of the 10th row
  4 KB (513 words) - 20:18, 3 January 2023
• Order of operations
  ...usually summarized by the acronym PEMDAS. An AoPS mnemonic you can use to remember the order of operations is "Please Evaluate, My Dear AoPS Students".
  2 KB (271 words) - 13:19, 5 March 2022
• Circumradius
  However, remember that <math>[ABC] = \frac {bh} 2\implies h=\frac{2 \times [ABC]}b</math>. Su
  4 KB (729 words) - 16:52, 19 February 2024
• LaTeX:Layout
  remember what we say here, but it can never forget what they did here. detract. The world will little note nor long remember what we say here, but it
  30 KB (5,171 words) - 10:16, 4 April 2021
• Tau
  ...One <math>\tau</math> is one revolution. Simple as that. While you have to remember that <math>\frac{\pi}{8}</math> radians is '''NOT''' <math>\frac{1}{8}</mat
  2 KB (386 words) - 21:18, 22 November 2021
• 2005 PMWC Problems/Problem T8
  ...{1}{2}x^2\right) + 2\left(\frac{1}{2}y^2\right) = x^2 + y^2 = 200</math>. (Remember that the sides are of unequal lengths, so we exclude <math>x = y= 10</math
  1 KB (212 words) - 22:58, 1 January 2020
• 2004 AMC 12A Problems/Problem 23
  ...o the roots should pair up, but we have an odd number of imaginary roots! (Remember that <math>b_1 = 0</math>.) This gives us the contradiction, and therefore
  3 KB (517 words) - 14:13, 5 September 2021
• 2008 AMC 12B Problems/Problem 21
  ...the circles not intersecting is <math>\frac{(2-\sqrt{3})^2}{4}</math>. But remember, we want the probability that they do intersect. We conclude the probabilit
  6 KB (1,008 words) - 11:46, 24 December 2020
• 2008 AIME I Problems/Problem 4
  First complete the square to get <math>y^2 = (x+42)^2 + 244</math>. Remember that squares are the sums of consecutive odd integers, so when the differen
  4 KB (732 words) - 22:17, 28 November 2023
• 2008 iTest Problems
  ...e last four are in ascending order. Suddenly, Michael realizes that he can remember all those numbers without looking back at his list of hotel phone numbers.
  71 KB (11,749 words) - 01:31, 2 November 2023
• 1987 AJHSME Problems/Problem 3
  ...ath>5</math> to get <math>900</math>. But since we have to multiply by 2 (remember the 2 at the beginning of the parentheses!), we get <math>1800</math>, whic
  1 KB (138 words) - 01:03, 22 January 2020
• 2002 AMC 12A Problems/Problem 10
  Remember that the mixture is in a 1:2 ratio between coffee and cream. So, coffee has
  3 KB (425 words) - 00:37, 1 February 2024
• 2009 AMC 12A Problems/Problem 24
  But wait, there's more! (IYKYK lol) Remember how we ignored the <math>\varepsilon</math>? Well, It's time to bring it ba
  10 KB (1,595 words) - 22:13, 20 September 2021
• 2001 AMC 12 Problems/Problem 17
  Remember that an obtuse angle is any angle greater than a right angle (90 degrees).
  5 KB (792 words) - 15:23, 30 November 2021
• 2009 AMC 12B Problems/Problem 14
  ...the formula <math>A=bh/2</math> for a triangle)<math>(9-3c)/2</math>. But, remember that we have to subtract the area of the extra unit square from this area t
  4 KB (695 words) - 21:33, 7 October 2023
• 2009 AMC 10B Problems/Problem 18
  ...+ 16x^2 = 625 \implies 16x^2 = 225 \implies x = \frac{15}{4}</math>. Now, remember <math>CE \neq \frac{15}{4}</math>. <math>x = \frac{15}{4} = ME</math>, sinc
  6 KB (930 words) - 22:14, 18 January 2024
• 2009 AMC 10B Problems/Problem 22
  ...ath> which, substituting values, is equal to <math>\frac{4}{5}</math>. But remember that <math>s</math> also consists of the side of the cake, so we have to ad
  12 KB (1,868 words) - 03:36, 30 September 2023
• 2009 AIME I Problems/Problem 11
  ...So, <math>x_2</math> and <math>x_1</math> are between 0 and 49, inclusive. Remember, <math>x_2>x_1</math> as well.
  8 KB (1,319 words) - 15:01, 16 August 2020
• 2009 AIME II Problems/Problem 11
  Remember that we must have <math>m\geq n</math>. However, for <math>n\geq 8</math> w
  2 KB (343 words) - 15:18, 21 May 2023

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