Create the page "2018 AMC 7 Problems/Problem 1" on this wiki! See also the search results found.

• Euler's Totient Theorem
  ...er [[relatively prime]] to <math>a</math>, then <math>{a}^{\phi (m)}\equiv 1 \pmod {m}</math>. ...hi(m)} \pmod{m} </math> <math> \implies </math> <math> a^{\phi (m)} \equiv 1 \pmod{m}</math> as desired. Note that dividing by <math> n_1 n_2 ... n_{\ph
  3 KB (542 words) - 17:45, 21 March 2023
• 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
• Mock MathCounts
  ...istered to the AoPS community, while others may be sourced from a group of problem writers. Different users may have a different way of participating; some ma ...ms from one subject. Having a group is also good so they can discuss which problems are good or need improvement, and fix errors. More than one person working
  26 KB (3,265 words) - 21:34, 20 March 2024
• 2019 AMC 10A
  '''2019 AMC 10A''' problems and solutions. The test was held on February 7, 2019. *[[2019 AMC 10A Problems]]
  2 KB (169 words) - 15:51, 9 February 2019
• 2017 AMC 8 Problems
  {{AMC8 Problems|year=2017|}} ==Problem 1==
  12 KB (1,771 words) - 21:13, 20 January 2024
• 2020 Mock Combo AMC 10
  Here are the problems from the 2020 Mock Combo AMC 10 II, a mock contest created by the AoPS user fidgetboss_4000. ==Problem 1==
  15 KB (2,452 words) - 03:03, 4 July 2020
• 2013 AMC 12A Problems
  {{AMC12 Problems|year=2013|ab=A}} == Problem 1 ==
  14 KB (2,204 words) - 20:25, 22 November 2020
• 2019 AMC 12A Problems
  {{AMC12 Problems|year=2019|ab=A}} ==Problem 1==
  14 KB (2,180 words) - 22:25, 25 April 2024
• Gmaas
  ...looks like this when he is mad: https://cdn.artofproblemsolving.com/images/7/4/b/74b21fec95225e1621c71ec8f17f343c48a726e0.jpg GMAAS permits to post this ...into anything. Using that fact, you can use the Games theorem to solve any problem.
  69 KB (11,805 words) - 20:49, 18 December 2019
• 2016 AMC 8 Problems
  {{AMC8 Problems|year=2016|}} ==Problem 1==
  12 KB (1,665 words) - 12:37, 1 April 2024
• 2017 AMC 12A
  '''2017 AMC 12A''' problems and solutions. The test was held on February 7, 2017. *[[2017 AMC 12A Problems]]
  2 KB (176 words) - 12:25, 11 March 2017
• 2017 AMC 10B
  '''2017 AMC 10B''' problems and solutions. The test was held on February 15, 2017. *[[2017 AMC 10B Problems]]
  2 KB (169 words) - 13:34, 16 February 2017
• 2017 AMC 10A Problems
  {{AMC10 Problems|year=2017|ab=A}} ==Problem 1==
  15 KB (2,285 words) - 18:02, 28 October 2023
• 2017 AMC 12B
  '''2017 AMC 12B''' problems and solutions. The test was held on February 15, 2017. *[[2017 AMC 12B Problems]]
  2 KB (176 words) - 12:26, 11 March 2017
• 2017 AMC 12A Problems
  {{AMC12 Problems|year=2017|ab=A}} ==Problem 1==
  15 KB (2,418 words) - 16:58, 7 November 2022
• 2017 AMC 10B Problems
  {{AMC10 Problems|year=2017|ab=B}} ==Problem 1==
  12 KB (1,930 words) - 20:23, 9 September 2022
• 2017 AMC 12B Problems
  {{AMC12 Problems|year=2017|ab=B}} ==Problem 1==
  15 KB (2,343 words) - 18:26, 25 December 2020
• 2018 AMC 10A Problems
  {{AMC10 Problems|year=2018|ab=A}} ==Problem 1==
  14 KB (2,171 words) - 21:10, 4 November 2023
• 2017 AMC 8
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2017 AMC 8 Problems]]
  2 KB (152 words) - 09:55, 9 September 2022
• 2018 AMC 10A
  '''2018 AMC 10A''' problems and solutions. The test was held on February 7, 2018. *[[2018 AMC 10A Problems]]
  2 KB (169 words) - 13:50, 8 February 2018
• 2018 AMC 12A
  '''2018 AMC 12A''' problems and solutions. The test was held on February 7, 2018. *[[2018 AMC 12A Problems]]
  2 KB (176 words) - 11:47, 29 March 2018
• 2018 AMC 10B
  '''2018 AMC 10B''' problems and solutions. The test was held on February 15, 2018. *[[2018 AMC 10B Problems]]
  2 KB (169 words) - 14:19, 16 February 2018
• 2018 AMC 12B
  '''2018 AMC 12B''' problems and solutions. The test was held on February 15, 2018. *[[2018 AMC 12B Problems]]
  2 KB (176 words) - 19:53, 6 July 2020
• 2018 AMC 10A Problems/Problem 13
  .../Problem 13|2018 AMC 10A #13]] and [[2018 AMC 12A Problems/Problem 11|2018 AMC 12A #11]]}} == Problem ==
  8 KB (1,193 words) - 15:12, 3 July 2023
• 2018 AMC 10A Problems/Problem 20
  .../Problem 20|2018 AMC 10A #20]] and [[2018 AMC 12A Problems/Problem 15|2018 AMC 12A #15]]}} ==Problem==
  5 KB (827 words) - 21:31, 24 October 2023
• 2018 AMC 10A Problems/Problem 17
  .../Problem 17|2018 AMC 10A #17]] and [[2018 AMC 12A Problems/Problem 12|2018 AMC 12A #12]]}} == Problem ==
  5 KB (764 words) - 03:29, 14 October 2023
• 2018 AMC 10A Problems/Problem 23
  .../Problem 23|2018 AMC 10A #23]] and [[2018 AMC 12A Problems/Problem 17|2018 AMC 12A #17]]}} == Problem ==
  16 KB (2,454 words) - 13:30, 23 September 2023
• 2018 AMC 10A Problems/Problem 24
  .../Problem 24|2018 AMC 10A #24]] and [[2018 AMC 12A Problems/Problem 18|2018 AMC 12A #18]]}} == Problem ==
  8 KB (1,170 words) - 17:13, 3 March 2024
• 2018 AMC 10A Problems/Problem 7
  ...em 7|2018 AMC 10A #7]] and [[2018 AMC 12A Problems/Problem 7|2018 AMC 12A #7]]}} ==Problem==
  3 KB (414 words) - 14:39, 3 July 2023
• 2018 AMC 10A Problems/Problem 9
  ...ems/Problem 9|2018 AMC 10A #9]] and [[2018 AMC 12A Problems/Problem 8|2018 AMC 12A #8]]}} ==Problem==
  7 KB (1,065 words) - 14:44, 3 July 2023
• 2018 AMC 10A Problems/Problem 18
  .../Problem 18|2018 AMC 10A #18]] and [[2018 AMC 12A Problems/Problem 13|2018 AMC 12A #13]]}} ==Problem==
  10 KB (1,531 words) - 17:00, 18 October 2023
• 2018 AMC 10A Problems/Problem 21
  .../Problem 21|2018 AMC 10A #21]] and [[2018 AMC 12A Problems/Problem 16|2018 AMC 12A #16]]}} == Problem ==
  9 KB (1,502 words) - 23:31, 19 August 2023
• 2018 AMC 12A Problems
  {{AMC12 Problems|year=2018|ab=A}} ==Problem 1==
  15 KB (2,380 words) - 18:52, 7 April 2022
• 2018 AMC 12B Problems
  {{AMC12 Problems|year=2018|ab=B}} == Problem 1 ==
  14 KB (2,118 words) - 15:36, 28 October 2021
• 2018 AMC 10B Problems/Problem 19
  ...[2018 AMC 12B Problems|2018 AMC 12B #14]] and [[2018 AMC 10B Problems|2018 AMC 10B #19]]}} ==Problem==
  5 KB (888 words) - 05:20, 12 April 2024
• 2018 AMC 10B Problems/Problem 25
  ...roblem 25 | 2018 AMC 10B #25]] and [[2018 AMC 12B Problems#Problem 24|2018 AMC 12B #24]]}} == Problem ==
  10 KB (1,543 words) - 12:51, 29 January 2024
• 2018 AMC 10B Problems
  {{AMC10 Problems|year=2018|ab=B}} == Problem 1 ==
  15 KB (2,237 words) - 23:08, 15 November 2023
• 2018 AMC 10B Problems/Problem 9
  ==Problem== ...math>6</math>. Let <math>p</math> be the probabilities that when all <math>7</math> dice are rolled, the sum of the numbers on the top faces is <math>10
  5 KB (835 words) - 13:48, 16 February 2024
• 2018 AMC 10B Problems/Problem 12
  ...[[2018 AMC 12B Problems|2018 AMC 12B #8]] and [[2018 AMC 10B Problems|2018 AMC 10B #12]]}} ==Problem ==
  4 KB (647 words) - 14:19, 5 June 2023
• 2018 AMC 10B Problems/Problem 20
  ...[2018 AMC 12B Problems|2018 AMC 12B #18]] and [[2018 AMC 10B Problems|2018 AMC 10B #20]]}} ==Problem==
  9 KB (1,490 words) - 02:11, 11 September 2023
• 2018 AMC 10B Problems/Problem 24
  ...[2018 AMC 12B Problems|2018 AMC 12B #20]] and [[2018 AMC 10B Problems|2018 AMC 10B #24]]}} ==Problem==
  17 KB (2,562 words) - 03:38, 6 September 2022
• 2018 AMC 10B Problems/Problem 10
  == Problem == ...lelepiped shown, <math>AB</math> = <math>3</math>, <math>BC</math> = <math>1</math>, and <math>CG</math> = <math>2</math>. Point <math>M</math> is the m
  8 KB (1,286 words) - 13:29, 21 April 2024
• 2018 AMC 8 Problems
  {{AMC8 Problems|year=2018|}} ==Problem 1==
  14 KB (2,191 words) - 03:19, 2 April 2024
• 2018 AMC 8
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2018 AMC 8 Problems]]
  2 KB (152 words) - 09:56, 9 September 2022
• 2019 AMC 8
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2019 AMC 8 Problems]]
  2 KB (149 words) - 13:10, 20 February 2024
• 2019 AMC 10A Problems
  {{AMC10 Problems|year=2019|ab=A}} ==Problem 1==
  13 KB (2,024 words) - 16:07, 22 April 2024
• 2019 AMC 10C Problems
  Here are the problems from the 2019 AMC 10C, a mock contest created by the AoPS user fidgetboss_4000. ==Problem 1==
  12 KB (1,917 words) - 12:14, 29 November 2021
• 2019 AMC 10B Problems/Problem 22
  ...[2019 AMC 10B Problems|2019 AMC 10B #22]] and [[2019 AMC 12B Problems|2019 AMC 12B #19]]}} ==Problem==
  9 KB (1,568 words) - 11:15, 18 October 2023
• 2019 AMC 12A
  '''2019 AMC 12A''' problems and solutions. The test was held on February 7, 2019. *[[2019 AMC 12A Problems]]
  2 KB (169 words) - 17:05, 9 February 2019
• 2019 AMC 10A Problems/Problem 15
  ...[2019 AMC 10A Problems|2019 AMC 10A #15]] and [[2019 AMC 12A Problems|2019 AMC 12A #9]]}} ==Problem==
  4 KB (687 words) - 08:11, 20 November 2023
• 2019 AMC 12B Problems
  {{AMC12 Problems|year=2019|ab=B}} ==Problem 1==
  16 KB (2,477 words) - 15:41, 9 September 2023
• Mock AMC 10B Problems
  ===Problem 1=== What is the difference between <math>6+7+8+9+10</math> and <math>1+2+3+4+5</math>?
  13 KB (2,059 words) - 02:59, 21 January 2021
• GMAAS
  1. Thou shalt only refer to Almighty Gmaas as Almighty Gmaas. 7. All humans shalt remember that the number of commandments is infinite, but
  85 KB (13,954 words) - 17:25, 22 March 2024
• 2019 AMC 8 Problems
  {{AMC8 Problems|year=2019|}} ==Problem 1==
  17 KB (2,585 words) - 15:27, 4 May 2024
• 2020 AMC 10A Problems/Problem 11
  ...[[2020 AMC 12A Problems|2020 AMC 12A #8]] and [[2020 AMC 10A Problems|2020 AMC 10A #11]]}} ==Problem==
  5 KB (707 words) - 14:55, 23 September 2023
• 2020 FMC 10A Problems
  Here are the problems that were on the 2020 FMC 10A. ==Problem 1==
  14 KB (2,267 words) - 12:49, 9 June 2020
• 2021 Fall AMC 10B Problems
  {{AMC10 Problems|year=2021 Fall|ab=B}} ==Problem 1==
  16 KB (2,450 words) - 00:13, 12 November 2023
• 2021 Fall AMC 12B Problems
  {{AMC12 Problems|year=2021 Fall|ab=B}} ==Problem 1==
  14 KB (2,191 words) - 19:57, 12 November 2023
• 2022 AMC 8 Problems
  {{AMC8 Problems|year=2022|}} ==Problem 1==
  20 KB (2,805 words) - 21:26, 22 February 2024
• 2022 AMC 10B Problems/Problem 25
  ...#Problem 25|2022 AMC 10B #25]] and [[2022 AMC 12B Problems#Problem 23|2022 AMC 12B #23]]}} ==Problem==
  9 KB (1,252 words) - 02:13, 30 December 2023
• 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