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• Pascal's Triangle and its patterns and properties
  = Pascal's Identity = Pascal's Identity states that
  9 KB (1,531 words) - 15:22, 17 June 2019
• Pascal's Triangle and Pythagorean Theorem
  = Pascal's Identity = Pascal's Identity states that
  15 KB (2,425 words) - 09:25, 13 February 2020
• What is the definition of Pure Mathematics?
  ...icle is not finished. Everyone is welcomed to edit, BUT ONLY IN GOOD WAYS! The AoPS Secret Governemtn has a backup of this page. = What is the definition of Pure Mathematics? =
  35 KB (5,882 words) - 18:08, 28 June 2021
• 2021 JMPSC Accuracy Problems/Problem 14
  What is the leftmost digit of the product <cmath>\underbrace{161616 \cdots 16}_{100 \text{ digits }} \times \ We conclude that the leftmost digit must be <math>\boxed{4}</math>.
  2 KB (209 words) - 17:25, 11 July 2021
• 2006 iTest Problems/Problem 10
  ...number of elements in the first <math>64</math> rows of Pascal's Triangle that are divisible by <math>4</math>. ...d\mathrm{(H)}\,1134\quad\mathrm{(I)}\,1256\quad\mathrm{(J)}\,\text{none of the above}</math>
  4 KB (612 words) - 23:33, 3 November 2023
• 2020 USOJMO Problems/Problem 4
  ...ersection of <math>AE</math> and <math>(ABCD)</math> and <math>H</math> be the intersection of <math>DF</math> and <math>(ABCD)</math>. By Pascal's on <math>GDCBAH</math>, we see that the intersection of <math>GH</math> and <math>BC</math>, <math>E</math>, and <m
  6 KB (1,131 words) - 19:15, 6 October 2023
• 2023 USAMO Problems/Problem 6
  ...wo distinct points <math>D</math> and <math>F</math>. If <math>E</math> is the intersection of lines <math>DF</math> and <math>BC</math>, prove that <math ...verline{II_A}</math> and <math>\overline{BC}</math> is <math>P</math>, and the intersection of lines <math>\overline{I_BI_C}</math> and <math>\overline{BC
  14 KB (2,600 words) - 23:37, 10 March 2024
• 2023 AMC 12A Problems/Problem 20
  ...e previous row. What is the units digits of the sum of the 2023 numbers in the 2023rd row? First, let <math>R(n)</math> be the sum of the <math>n</math>th row. Now, with some observation and math instinct, we can
  9 KB (1,414 words) - 09:11, 22 February 2024
• Mathboy282
  The older edits (2019-2022): [[2020 AIME II Problems/Problem 13]] Solution 8 (The same circle)
  10 KB (1,118 words) - 05:33, 13 January 2024
• Sharygin Olympiads, the best
  ...h school students. It consists of two rounds – correspondence and final. The correspondence round lasts 3 months. ...d and the serial number of the problem. Solutions are often different from the original ones.
  29 KB (4,997 words) - 18:06, 16 May 2024

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