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• AMC historical results
  ...s qualify for AIME each year, rather than a fixed percentage. Usually, 6000-7000 competitors from the AMC 10 and 12 qualify for the AIME. *AIME Floor: 105 (top ~6%)
  17 KB (1,913 words) - 21:59, 26 May 2024
• Inequality
  ...b</math> if <math>a</math> is greater than <math>b</math>, that is, <math>a-b</math> is positive. ...b</math> if <math>a</math> is smaller than <math>b</math>, that is, <math>a-b</math> is negative.
  12 KB (1,798 words) - 16:20, 14 March 2023
• United States of America Mathematical Talent Search
  ...|difficulty=3-6|breakdown=<u>Problem 1-2</u>: 3-4<br><u>Problem 3-5</u>: 5-6}} ...ed to high scorers at the end of the year. These typically include a free t-shirt, along with other prizes like books or software of the participant's c
  4 KB (613 words) - 13:08, 18 July 2023
• AMC 10
  ...|breakdown=<u>Problem 1-5</u>: 1<br><u>Problem 6-20</u>: 2<br><u>Problem 21-25</u>: 3}} ...contest are invited to take the [[AIME]].[http://www.unl.edu/amc/e-exams/e7-aime/adminaime.html]
  4 KB (574 words) - 15:28, 22 February 2024
• AMC 12
  ...reakdown=<u>Problem 1-10</u>: 2<br><u>Problem 11-20</u>: 3<br><u>Problem 21-25</u>: 4}} ...C 12 is scored in a way that penalizes guessing. Correct answers are worth 6 points, incorrect answers are worth 0 points, and unanswered questions are
  4 KB (520 words) - 12:11, 13 March 2024
• American Invitational Mathematics Examination
  ...<u>Problem 6-10</u>: 4<br><u>Problem 10-12</u>: 5<br><u>Problem 12-15</u>: 6}} ...www.unl.edu/amc/ AMC homepage] and their [http://www.unl.edu/amc/e-exams/e7-aime/aime.shtml AIME page]
  8 KB (1,057 words) - 12:02, 25 February 2024
• 1954 AHSME Problems/Problem 46
  draw((-2/3,1/2)--(-sqrt(3)/6,1/2)--(0,0)--(sqrt(3)/6,1/2)--(2/3,1/2)); draw((-2/3,1/2)--(-sqrt(3)/6,1/2)--(0,0)--(sqrt(3)/6,1/2)--(2/3,1/2));
  3 KB (415 words) - 18:01, 24 May 2020
• 2015 IMO Problems
  <math>\mathcal{S}</math> is <i>centre-free</i> if for any three points <math>A</math>, <math>B</math>, <math>C</ma <ol style="list-style-type: lower-latin;">
  4 KB (692 words) - 22:33, 15 February 2021
• United States of America Mathematical Olympiad
  ...9|breakdown=<u>Problem 1/4</u>: 7<br><u>Problem 2/5</u>: 8<br><u>Problem 3/6</u>: 9}} The USAMO is an invitation-only proof-type examination administered to approximately 500 of the best and brightest
  6 KB (869 words) - 12:52, 20 February 2024
• Informatics competitions
  ...r Computer Science]] Learning, Practice and Challenges tailored for Grade 6-8 ...r Science]] (5-9) Weekly Challenge Online [https://www.beestar.org/computer-science/?&mid=1016&div=1 website]
  7 KB (932 words) - 12:13, 15 January 2024
• American Regions Mathematics League
  {{WotWAnnounce|week=June 6-12}} ...roblem 6/8), 6 (Problem 10)<br><u>Team</u>: 3.5 (Problem 1-5), 5 (Problem 6-10)}}
  2 KB (267 words) - 17:06, 7 March 2020
• Joining an ARML team
  ...as well as practices of previous years' team rounds. Please email Xinke Guo-Xue at xinkeguoxue@gmail.com, or message Xinke's AoPS account "hurdler", if ...room 2112, on Thursdays at 7pm. For more information, e-mail Eric Brattain-Morrin at [mailto:eric.brattain@gmail.com eric.brattain@gmail.com] and visit
  21 KB (3,435 words) - 00:56, 23 May 2024
• Engineering competitions
  * [[First Lego League]] -- Ages 9-14 [http://www.firstlegoleague.org/ Website] * [[First Lego League]] -- Ages 9-14 [http://www.firstlegoleague.org/ Website]
  6 KB (706 words) - 21:50, 20 March 2022
• Heron's Formula
  <math>A=\sqrt{s(s-a)(s-b)(s-c)}</math> where the [[semi-perimeter]] <math>s=\frac{a+b+c}{2}</math>.
  4 KB (675 words) - 00:05, 22 January 2024
• Simon's Favorite Factoring Trick
  ...bles in a linear term on the other side. An example would be: <cmath>xy+66x-88y=23333</cmath>where <math>23333</math> is the constant term, <math>xy</ma ...e previous example, <math>xy+66x-88y=23333</math> is the same as: <cmath>(x-88)(y+66)=(23333)+(-88)(66)</cmath>
  7 KB (1,129 words) - 17:57, 24 May 2024
• USAMO historical results
  Since 1996, a perfect score on the [[USAMO]] has been 42 points for 6 problems. Prior to 1996 a perfect score was 100 points across 5 problems. **Po-Ru Loh
  10 KB (1,317 words) - 08:16, 23 April 2024
• Mathematical problem solving
  <math>\frac{\pi^2}{6}=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\cdots</math><br>
  2 KB (314 words) - 06:45, 1 May 2014
• Manhattan Mathematical Olympiad
  ...U) during April. It is divided into three divisions, grades 5-6, 7-8, and 9-12, and is a three hour, 4 question test, modeled after other math olympiads * [http://www.math.ksu.edu/~soibel/olympiad/ Past tests from 2000-2006]
  578 bytes (81 words) - 19:22, 23 November 2015
• Geometric mean
  The geometric mean of the numbers 6, 4, 1 and 2 is <math>\sqrt[4]{6\cdot 4\cdot 1 \cdot 2} = \sqrt[4]{48} = 2\sqrt[4]{3}</math>. The geometric mean features prominently in the [[Arithmetic Mean-Geometric Mean Inequality]].
  2 KB (282 words) - 22:04, 11 July 2008
• Principle of Inclusion-Exclusion
  The '''Principle of Inclusion-Exclusion''' (abbreviated PIE) provides an organized method/formula to find ...then <math>3!</math> ways to order the other three guys for <math>3!\binom{6}{3}=120</math>. Same goes for <math>|B|</math>, <math>|C|</math>, and <math
  9 KB (1,703 words) - 07:25, 24 March 2024

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