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• 2014 AMC 8 Problems/Problem 12
  ...e correct baby pictures. What is the probability that a reader guessing at random will match all three correctly? <math> \textbf{(A) }\frac{1}{9}\qquad\textbf{(B) }\frac{1}{6}\qquad\textbf{(C) }\frac{1}{4}\q
  2 KB (310 words) - 11:12, 2 July 2023
• 2015 UNCO Math Contest II Problems
  The positive integers are <math>1, 2, 3, 4, \ldots </math> A polynomial is quadratic if its highest power term has power two. If P is a polynomial that satisfies <math>P(x^2 +1) = 5x^4 +7x^2 +19</math>, then wha
  7 KB (1,151 words) - 15:11, 20 August 2020
• 2015 AMC 10B Problems
  <math> \textbf{(A) } -2 \qquad\textbf{(B) } \dfrac{1}{16} \qquad\textbf{(C) } \dfrac{7}{4} \q Marie does three equally time-consuming tasks in a row without taking breaks. She begins the first task at 1:00 PM and finishe
  14 KB (2,247 words) - 11:38, 26 March 2024
• Gmaas
  ...Plenipotentiary GMAAS cannot get rid of a language that's been around for a <math>999999999999999999999999999999999999999999^{9999999999999999999999999 ...ke and reciprocated the fee," you must pay <math>1,000,000</math> to solve a problem using the Games theorem. You wouldn't waste that much money to solv
  69 KB (11,805 words) - 20:49, 18 December 2019
• 2017 AMC 12B Problems
  <math>\textbf{(A)}\ 1\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 5\qquad\textbf{(D)}\ 20\qquad\ <math>\textbf{(A)}\ y+x^2\qquad\textbf{(B)}\ y+xz\qquad\textbf{(C)}\ y+y^2\qquad\textbf{(D)}
  15 KB (2,343 words) - 18:26, 25 December 2020
• 2017 AMC 12B Problems/Problem 25
  ...may have exactly the same <math>5</math> members. The site statistics show a curious fact: The average, over all subsets of size <math>9</math> of the s <math>\textbf{(A) } 477 \qquad \textbf{(B) } 482 \qquad \textbf{(C) } 487 \qquad \textbf{(D)
  3 KB (574 words) - 11:18, 21 May 2023
• 2017 AMC 12B Problems/Problem 22
  ...n urn---one green, one red, and two white. The players each draw a ball at random without replacement. Whoever gets the green ball gives one coin to whoever <math>\textbf{(A)}\quad \dfrac{7}{576} \qquad \qquad \textbf{(B)}\quad \dfrac{5}{192} \qquad
  12 KB (1,935 words) - 11:37, 16 December 2023
• 2020 AMC 12B Problems
  <math>\textbf{(A) }5 \qquad \textbf{(B) }4 + \sqrt{7} + \sqrt{10} \qquad \textbf{(C) } 10 \q ...^2-11^2} \cdot \frac{(70-11)(70+11)}{(100-7)(100+7)}</cmath><math>\textbf{(A) } 1 \qquad \textbf{(B) } \frac{9951}{9950} \qquad \textbf{(C) } \frac{4780
  16 KB (2,417 words) - 01:03, 28 April 2022
• 1963 AHSME Problems/Problem 36
  A person starting with <math>\$64</math> and making <math>6</math> bets, wins three ...occurring in random order. The chance for a win is equal to the chance for a loss.
  1 KB (209 words) - 18:22, 15 July 2018
• Basic Programming With Python
  (Note: This is a really long article. To learn the most from this article, you need to read ...ll two-digit positive integers <math>x</math> such that <math>5x</math> is a two-digit positive integer.'''
  33 KB (5,277 words) - 22:14, 3 June 2023
• 2019 AMC 10C Problems
  Here are the problems from the 2019 AMC 10C, a mock contest created by the AoPS user fidgetboss_4000. ...<math>m+c=2018</math>, and <math>a+c=2019</math>, find the value of <math>a+m+c+10</math>.
  12 KB (1,917 words) - 12:14, 29 November 2021
• 2020 AMC 10B Problems
  <math>\textbf{(A)}\ -20 \qquad\textbf{(B)}\ -3 \qquad\textbf{(C)}\ 3 \qquad\textbf{(D)}\ 5 \ <math>\textbf{(A)}\ 24 \qquad\textbf{(B)}\ 25 \qquad\textbf{(C)}\ 28 \qquad\textbf{(D)}\ 40
  16 KB (2,496 words) - 20:09, 19 May 2024
• 2019 AMC 10B Problems/Problem 22
  ...y simultaneously chooses one of the other two players independently and at random and gives <math>\$1</math> to that player. What is the probability that aft <math>\textbf{(A) } \frac{1}{7} \qquad\textbf{(B) } \frac{1}{4} \qquad\textbf{(C) } \frac{1}
  9 KB (1,568 words) - 11:15, 18 October 2023
• What is the definition of Pure Mathematics?
  ...is welcomed to edit, BUT ONLY IN GOOD WAYS! The AoPS Secret Governemtn has a backup of this page. ...ng it. For example, can a butterfly that flaps its wings in Brazil trigger a tornado in Texas?
  35 KB (5,882 words) - 18:08, 28 June 2021
• GMAAS
  ...entiary Almighty Gmaas cannot get rid of a language that's been around for a <math>999999999999999999999999999999999999999999^{9999999999999999999999999
  85 KB (13,971 words) - 18:02, 16 May 2024
• 2019 AMC 8 Problems
  Ike and Mike go into a sandwich shop with a total of <math>\$30.00</math> to spend. Sandwiches cost <math>\$4.50</math> <math>\textbf{(A) }6\qquad\textbf{(B) }7\qquad\textbf{(C) }8\qquad\textbf{(D) }9\qquad\textb
  17 KB (2,585 words) - 15:27, 4 May 2024
• 2019 AMC 8 Problems/Problem 15
  ...lected at random, what is the probability that this person is also wearing a cap? <math>\textbf{(A) }\frac{14}{85}\qquad\textbf{(B) }\frac{7}{25}\qquad\textbf{(C) }\frac{2}{5
  3 KB (496 words) - 00:28, 6 May 2024
• 2020 AMC 10B Problems/Problem 16
  ...numbers previously chosen by either player. A player unable to choose such a number loses. Using optimal strategy, which player will win the game? <math>\textbf{(A)} \text{ Bela will always win.} \qquad \textbf{(B)} \text{ Jenn will always
  3 KB (530 words) - 16:31, 11 September 2023
• Combinatorics Challenge Problems
  Ms.Carr asks her students to read any 5 of the 10 books on a reading list. Harold randomly selects 5 books from this list, and Betty doe <math>3</math> points are chosen on the circumference of a circle to form a triangle. What is the probability that the triangle does not contain the ce
  8 KB (858 words) - 08:37, 1 May 2024
• 2020 FMC 10A Problems
  ...ain stops halfway between the bank and the store to pick up some food from a local restaurant. Then, he decides he instead wants to go to the park and h <math>\textbf{(A)}\ \dfrac{9}{16}\qquad\textbf{(B)}\ \dfrac{3}{16}\qquad\textbf{(C)}\ \dfrac
  14 KB (2,267 words) - 12:49, 9 June 2020

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