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• 2006 AMC 12A Problems/Problem 1
  ...C 12A Problems|2006 AMC 12A #1]] and [[2006 AMC 10A Problems|2006 AMC 10A #1]]}} == Problem ==
  846 bytes (115 words) - 17:20, 16 December 2021

Page text matches

• Pythagorean Theorem
  ...e many tools in a good geometer's arsenal. A very large number of geometry problems can be solved by building right triangles and applying the Pythagorean Theo === Proof 1 ===
  5 KB (886 words) - 21:12, 22 January 2024
• Circle
  '''Case 1:''' The circle's area is greater than the triangle's area. ...han the radius so <math>a<r</math>. Therefore <math> P=\frac{1}{2}ap<\frac{1}{2}r\cdot 2\pi r=T</math>. However it cannot be both <math>P>T</math> and <
  9 KB (1,555 words) - 20:05, 2 November 2023
• Arithmetic sequence
  ...h>1, 2, 3, 4</math> is an arithmetic sequence with common difference <math>1</math> and <math>99, 91, 83, 75</math> is an arithmetic sequence with commo ...ogression if and only if <math>a_2 - a_1 = a_3 - a_2 = \cdots = a_n - a_{n-1}</math>. A similar definition holds for infinite arithmetic sequences. It a
  4 KB (736 words) - 02:00, 7 March 2024
• Triangle Inequality
  ...+ \ldots + a_n = \left(\sum_{j=1}^n a_j\right) - a_i</math> for <math>i = 1, 2 \ldots, n</math>. Expressing the inequality in this form leads to <math == Problems ==
  2 KB (268 words) - 03:02, 3 January 2021
• 2006 AMC 12B
  ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2006 AMC 12B Problems]]
  2 KB (210 words) - 00:06, 7 October 2014
• Mock AMC
  ...ake. Sometimes, the administrator may ask other people to sign up to write problems for the contest. Mock AMCs are usually very popular in the months leading up to the actual [[AMC]] competition. There is no guarantee that community members will make Mock
  51 KB (6,175 words) - 20:58, 6 December 2023
• 2006 AMC 12B Problems
  {{AMC12 Problems|year=2006|ab=B}} == Problem 1 ==
  13 KB (2,058 words) - 12:36, 4 July 2023
• 2006 AMC 12A
  ...contains the full set of test problems. The rest contain each individual problem and its solution. *[[2006 AMC 12A Problems]]
  1 KB (168 words) - 21:51, 6 October 2014
• 2005 AMC 12A
  ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2005 AMC 12A Problems]]
  2 KB (202 words) - 21:30, 6 October 2014
• 2005 AMC 12B
  ...contains the full set of test problems. The rest contain each individual problem and its solution. *[[2005 AMC 12B Problems]]
  2 KB (206 words) - 23:23, 21 June 2021
• 2006 AMC 12A Problems
  {{AMC12 Problems|year=2006|ab=A}} == Problem 1 ==
  15 KB (2,223 words) - 13:43, 28 December 2020
• 2005 AMC 12B Problems
  {{AMC12 Problems|year=2005|ab=B}} == Problem 1 ==
  12 KB (1,781 words) - 12:38, 14 July 2022
• 2006 AMC 12A Problems/Problem 10
  ...2A Problems|2006 AMC 12A #10]] and [[2006 AMC 10A Problems/Problem 10|2006 AMC 10A #10]]}} == Problem ==
  1 KB (167 words) - 23:23, 16 December 2021
• 2006 AMC 12A Problems/Problem 13
  == Problem == ...1</math>, <math>r_B = 2</math>, and <math>r_C = 3</math> Then we get <math>1^2 \pi + 2^2 \pi + 3^2 \pi = 14 \pi \iff\mathrm{(E)}</math>
  1 KB (184 words) - 13:57, 19 January 2021
• 2006 AMC 12A Problems/Problem 14
  ...2A Problems|2006 AMC 12A #14]] and [[2006 AMC 10A Problems/Problem 22|2006 AMC 10A #22]]}} == Problem ==
  3 KB (442 words) - 03:13, 8 August 2022
• 2006 AMC 12A Problems/Problem 15
  == Problem == Suppose <math>\cos x=0</math> and <math>\cos (x+z)=1/2</math>. What is the smallest possible positive value of <math>z</math>?
  919 bytes (138 words) - 12:45, 4 August 2017
• 2006 AMC 12A Problems/Problem 16
  ...2A Problems|2006 AMC 12A #16]] and [[2006 AMC 10A Problems/Problem 23|2006 AMC 10A #23]]}} == Problem ==
  2 KB (286 words) - 10:16, 19 December 2021
• 2006 AMC 12A Problems/Problem 18
  == Problem == ...the property that for each real number <math>x</math> in its domain, <math>1/x</math> is also in its domain and
  2 KB (334 words) - 18:34, 18 September 2020
• 2006 AMC 12A Problems/Problem 20
  ...2A Problems|2006 AMC 12A #20]] and [[2006 AMC 10A Problems/Problem 25|2006 AMC 10A #25]]}} == Problem ==
  5 KB (908 words) - 19:23, 22 September 2022
• 2006 AMC 12A Problems/Problem 24
  == Problem == <cmath>(x+y+z)^{2006}+(x-y-z)^{2006}</cmath>
  8 KB (1,332 words) - 17:37, 17 September 2023
• 2006 AMC 12A Problems/Problem 25
  == Problem == How many non-[[empty set | empty]] [[subset]]s <math>S</math> of <math>\{1,2,3,\ldots ,15\}</math> have the following two properties?
  8 KB (1,405 words) - 11:52, 27 September 2022
• 2006 AMC 12A Problems/Problem 12
  ...2A Problems|2006 AMC 12A #12]] and [[2006 AMC 10A Problems/Problem 14|2006 AMC 10A #14]]}} == Problem ==
  2 KB (292 words) - 11:56, 17 December 2021
• Set
  ...set can have multiple indistinct elements, such as the following: <math>\{1,4,5,3,24,4,4,5,6,2\}</math> Such an entity is actually called a multiset. ...th>239</math>, for example. (The standard notation for this set is <math>\{1,3,5,239\}</math>. Note that the order in which the terms are listed is comp
  11 KB (2,021 words) - 00:00, 17 July 2011
• 2006 AMC 10A Problem 1
  #REDIRECT [[2006 AMC 12A Problems/Problem 1]]
  45 bytes (5 words) - 10:55, 20 February 2016
• 2006 AMC 12A Problem 1
  #REDIRECT [[2006 AMC 12A Problems/Problem 1]]
  45 bytes (5 words) - 14:46, 14 January 2016
• 2006 AMC 12A Problems/Problem 4
  ...12A Problems|2006 AMC 12A #4]] and [[2006 AMC 10A Problems/Problem 4|2006 AMC 10A #4]]}} == Problem ==
  2 KB (257 words) - 11:20, 2 January 2022
• 2006 AMC 12A Problems/Problem 1
  ...C 12A Problems|2006 AMC 12A #1]] and [[2006 AMC 10A Problems|2006 AMC 10A #1]]}} == Problem ==
  846 bytes (115 words) - 17:20, 16 December 2021
• 2006 AMC 12A Problems/Problem 2
  ...12A Problems|2006 AMC 12A #2]] and [[2006 AMC 10A Problems/Problem 2|2006 AMC 10A #2]]}} == Problem ==
  694 bytes (110 words) - 14:03, 27 July 2023
• 2006 AMC 12A Problems/Problem 3
  ...12A Problems|2006 AMC 12A #3]] and [[2006 AMC 10A Problems/Problem 3|2006 AMC 10A #3]]}} == Problem ==
  1 KB (155 words) - 17:30, 16 December 2021
• 2006 AMC 12A Problems/Problem 5
  ...12A Problems|2006 AMC 12A #5]] and [[2006 AMC 10A Problems/Problem 5|2006 AMC 10A #5]]}} == Problem ==
  1 KB (176 words) - 17:57, 16 December 2021
• 2006 AMC 12A Problems/Problem 6
  ...12A Problems|2006 AMC 12A #6]] and [[2006 AMC 10A Problems/Problem 7|2006 AMC 10A #7]]}} == Problem ==
  3 KB (528 words) - 18:29, 7 May 2024
• 2006 AMC 12A Problems/Problem 8
  ...12A Problems|2006 AMC 12A #8]] and [[2006 AMC 10A Problems/Problem 9|2008 AMC 10A #9]]}} == Problem ==
  3 KB (450 words) - 02:00, 13 January 2024
• Word problem
  ...d to a problem with only "math" (equations, diagrams, graphs, etc.). Word problems are based on a contextualized scenario, often from real-life. Word problems often have phrases that indicate which math operation to use. For instance
  1 KB (200 words) - 15:05, 10 April 2020
• Multinomial Theorem
  .... + b_{k-1} + b_k= n}{\binom{n}{b_1, b_2, b_3, ..., b_{k-1}, b_k} \prod_{j=1}^{k}{x_j^{b_j}}}</cmath> ...e 3</math> and that the result is true for <math>k=p</math> When <math>k=p+1</math>
  3 KB (476 words) - 19:37, 4 January 2023
• Cyclic function
  ...>f</math> such that <math>f^n(x) = x</math> for some [[integer]] <math>n > 1</math>. A neccessary condition for a function to be cyclic is that its [[i == Example Problems ==
  363 bytes (53 words) - 14:47, 20 July 2016
• 2007 AMC 12A
  ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2007 AMC 12A Problems]]
  1 KB (168 words) - 21:50, 6 October 2014
• 2007 AMC 12A Problems
  {{AMC12 Problems|year=2007|ab=A}} ==Problem 1==
  11 KB (1,750 words) - 13:35, 15 April 2022
• 2007 AMC 12B
  ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2007 AMC 12B Problems]]
  1 KB (168 words) - 21:22, 6 October 2014
• Mock Amc 12
  ...ake. Sometimes, the administrator may ask other people to sign up to write problems for the contest. Mock AMCs are usually very popular in the months leading up to the actual [[AMC]] competition. There is no guarantee that community members will make Mock
  18 KB (2,206 words) - 19:41, 24 December 2020
• Rotation
  === Practice Problems === ([[2006 AMC 12B Problems/Problem 23|Source]])
  3 KB (432 words) - 23:22, 13 January 2021
• Daniel Zhou's Profile
  ...post on AOPS solutions to various problems including IMO, USA(J)MO, AIME, AMC, ARML, HMMT, PUMac, etc. ...artofproblemsolving.com/community/u530868h596930p27818958 2014 IMO Problem 1] (Algebra)
  6 KB (678 words) - 19:29, 19 April 2024
• Know the Facts: Gmaas
  ...f Prussia becomes a major hotspot for Gmaasology. Otto von Bismarck spends 1,000,000,000,000 German narcs to build Das Groß Kaisers Preußische Institu ...he is less powerful than his father. Apparently, Leibniz had Gmaas_number 1 while Schrodinger had Gmaas_number number 2, where a lower Gmaas number ind
  88 KB (14,928 words) - 13:54, 29 April 2024
• Mathboy282
  Proudest of: [[2019 AIME II Problems/Problem 15]] Solution 5 [[2023 USAJMO Problems/Problem 6]] Solution 1
  10 KB (1,118 words) - 05:33, 13 January 2024