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- {{AIME Problems|year=2000|n=I}} [[2000 AIME I Problems/Problem 1|Solution]]7 KB (1,204 words) - 03:40, 4 January 2023
- {{AIME Problems|year=2000|n=II}} <center><math>\frac 2{\log_4{2000^6}} + \frac 3{\log_5{2000^6}}</math></center>6 KB (947 words) - 21:11, 19 February 2019
- ...he labels on the cards are now in ascending order: <math>1,2,3,\ldots,1999,2000.</math> In the original stack of cards, how many cards were above the card ...e cards such that they go to their correct starting positions in the <math>2000</math> card case, where all of them are below <math>1999</math>. From this,15 KB (2,673 words) - 19:16, 6 January 2024
- {{AIME box|year=2000|n=I|num-b=13|num-a=15|t=721509}} [[Category:Intermediate Geometry Problems]]8 KB (1,275 words) - 03:04, 27 February 2022
- {{AIME box|year=2000|n=I|num-b=12|num-a=14|t=721508}} [[Category:Intermediate Geometry Problems]]3 KB (571 words) - 00:38, 13 March 2014
- {{AIME box|year=2000|n=I|num-b=11|num-a=13}} [[Category:Intermediate Algebra Problems]]1 KB (238 words) - 18:50, 10 March 2015
- {{AIME box|year=2000|n=I|num-b=10|num-a=12}} [[Category:Intermediate Algebra Problems]]4 KB (667 words) - 13:58, 31 July 2020
- {{AIME box|year=2000|n=I|num-b=9|num-a=11}} [[Category:Intermediate Algebra Problems]]2 KB (319 words) - 22:26, 29 December 2022
- <cmath>\begin{eqnarray*} -\log x \log y + \log x + \log y - 1 &=& 3 - \log 2000\\ ...note from different author: <math>-(3 - \log 2000) = \log 2000 - 3 = \log 2000 - \log 1000 = \log 2.</math>4 KB (623 words) - 15:56, 8 May 2021
- {{AIME box|year=2000|n=I|num-b=7|num-a=9}} [[Category:Intermediate Geometry Problems]]4 KB (677 words) - 16:33, 30 December 2023
- {{AIME box|year=2000|n=I|num-b=6|num-a=8}} [[Category:Intermediate Algebra Problems]]5 KB (781 words) - 15:02, 20 April 2024
- {{AIME box|year=2000|n=I|num-b=5|num-a=7}} [[Category:Intermediate Algebra Problems]]6 KB (966 words) - 21:48, 29 January 2024
- {{AIME box|year=2000|n=I|num-b=4|num-a=6}} [[Category:Intermediate Number Theory Problems]]7 KB (1,011 words) - 20:09, 4 January 2024
- {{AIME box|year=2000|n=I|num-b=3|num-a=5}} [[Category:Intermediate Geometry Problems]]3 KB (485 words) - 00:31, 19 January 2024
- In the expansion of <math>(ax + b)^{2000},</math> where <math>a</math> and <math>b</math> are [[relatively prime]] p Using the [[binomial theorem]], <math>\binom{2000}{1998} b^{1998}a^2 = \binom{2000}{1997}b^{1997}a^3 \Longrightarrow b=666a</math>.679 bytes (98 words) - 00:51, 2 November 2023
- {{AIME box|year=2000|n=I|num-b=1|num-a=3}} [[Category:Intermediate Geometry Problems]]3 KB (434 words) - 22:43, 16 May 2021
- {{AIME box|year=2000|n=I|before=First Question|num-a=2}} [[Category:Introductory Number Theory Problems]]1 KB (163 words) - 17:44, 16 December 2020
- {{AIME box|year=2000|n=II|num-b=14|after=Last Question}} [[Category:Intermediate Trigonometry Problems]]3 KB (469 words) - 21:14, 7 July 2022
- ...s the factorial base expansion of <math>16!-32!+48!-64!+\cdots+1968!-1984!+2000!</math>, find the value of <math>f_1-f_2+f_3-f_4+\cdots+(-1)^{j+1}f_j</math 16!-32!+48!-64!+\cdots+1968!-1984!+2000!&=16!+(48!-32!)+(80!-64!)\cdots+(2000!-1984!)\\7 KB (1,131 words) - 14:49, 6 April 2023
- {{AIME box|year=2000|n=II|num-b=12|num-a=14}} [[Category:Intermediate Algebra Problems]]6 KB (1,060 words) - 17:36, 26 April 2024
Page text matches
- ...ex.php?f=298 middle school math forums] where students can discuss contest problems and mathematics. ...ndex.php?f=214 high school math forums] where students can discuss contest problems and mathematics3 KB (428 words) - 20:16, 2 April 2007
- ...tions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to [https://youtu.be/C2CSITfTwqw/ A quick video overview of the AMC and AIME].24 KB (3,269 words) - 00:43, 24 April 2024
- ...ed States at the [[International Mathematics Olympiad]] (IMO). While most AIME participants are high school students, some bright middle school students a High scoring AIME students are invited to take the prestigious [[United States of America Mat8 KB (1,057 words) - 12:02, 25 February 2024
- * [[American Invitational Mathematics Examination]] (AIME) — high scorers from the AMC 10/12 exams. * [[United States of America Mathematics Olympiad]] (USAMO) — high AIME and AMC scorers.5 KB (696 words) - 03:47, 24 December 2019
- This is important because this keeps showing up in number theory problems. Let's look at this problem below: This factorization frequently shows up on contest problems, especially those heavy on algebraic manipulation. Usually <math>x</math> a7 KB (1,107 words) - 07:35, 26 March 2024
- ...emonstrate casework in action. Unlike the selections in this article, most problems cannot be completely solved through casework. However, it is crucial as an While there are problems where casework produces the most elegant solution, in those where a shorter5 KB (709 words) - 10:28, 19 February 2024
- ==Problems== * Practice Problems from [https://artofproblemsolving.com/alcumus/ Alcumus]3 KB (496 words) - 22:14, 5 January 2024
- ==Problems== ...} </math><div style="text-align:right">([[2000 AMC 12 Problems/Problem 4|2000 AMC 12, Problem 4]])</div>6 KB (957 words) - 23:49, 7 March 2024
- == Problems == *[[2007 AMC 12A Problems/Problem 18]]5 KB (860 words) - 15:36, 10 December 2023
- ...the leftover stuff after the decimal point. This can greatly simplify many problems. == Problems ==3 KB (508 words) - 21:05, 26 February 2024
- ...ke the more challenging [[American Invitational Mathematics Examination]] (AIME). The AHSME was replaced with the [[AMC 10]] and [[AMC 12]] in 2000.3 KB (388 words) - 23:07, 5 February 2024
- ...olving.com/Forum/resources.php?c=182 AoPS Resources] section. If you find problems that are in the Resources section which are not in the AoPSWiki, please con | 2024 || [[2024 AIME I | AIME I]] || [[2024 AIME II | AIME II]]3 KB (391 words) - 16:00, 21 February 2024
- <cmath>2000 + 180 m^2 = 10(10+2\sqrt{2}m)^{2} + 1000</cmath> {{AIME box|year=2005|n=I|num-b=14|after=Last Question}}5 KB (906 words) - 23:15, 6 January 2024
- ...I''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[2000 AIME II Problems]]1 KB (139 words) - 08:41, 7 September 2011
- ...I''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[2001 AIME I Problems]]1 KB (139 words) - 08:41, 7 September 2011
- ...I''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[2000 AIME I Problems]]1 KB (135 words) - 18:05, 30 May 2015
- ...E''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[1999 AIME Problems]]1 KB (118 words) - 08:41, 7 September 2011
- {{AIME Problems|year=1987}} [[1987 AIME Problems/Problem 1|Solution]]6 KB (869 words) - 15:34, 22 August 2023
- {{AIME Problems|year=1992}} [[1992 AIME Problems/Problem 1|Solution]]8 KB (1,117 words) - 05:32, 11 November 2023
- {{AIME Problems|year=1999}} [[1999 AIME Problems/Problem 1|Solution]]7 KB (1,094 words) - 13:39, 16 August 2020
