https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Edward130603&feedformat=atomAoPS Wiki - User contributions [en]2022-01-22T05:07:05ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=2007_iTest_Problems/Problem_TB3&diff=316952007 iTest Problems/Problem TB32009-05-17T14:34:09Z<p>Edward130603: 2007 iTest Problems/Problem TB3 moved to 2007 iTest Problems/Problem T3asdf</p>
<hr />
<div>#REDIRECT [[2007 iTest Problems/Problem T3asdf]]</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=Talk:AoPS_Competitions&diff=31692Talk:AoPS Competitions2009-05-17T14:33:35Z<p>Edward130603: redundant</p>
<hr />
<div>Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)<br />
Exactly what is the purpose of this page, again??? --[[User:1=2|1=2]] 16:55, 13 May 2009 (UTC)</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:AoPS_Community_Awards&diff=31686AoPS Wiki:AoPS Community Awards2009-05-17T14:33:14Z<p>Edward130603: AoPSWiki:AoPS Community Awards moved to AoPSWiki:AoPS Community Awardss</p>
<hr />
<div>This '''AoPS Community Awards''' page is a celebration of the accomplishments of members of the [[AoPS]] community.<br />
<br />
<br />
== IMO Participants and Medalists ==<br />
This is a list of members of the AoPS community who have competed for their country at the [[International Mathematical Olympiad]].<br />
<br />
=== Participants ===<br />
* Alex Zhai (2008) <br />
* Krishanu Roy Sankar (2008)<br />
* Zachary Abel (2006) (AoPS assistant instructor)<br />
* Marco Avila (2006)<br />
* Zarathustra Brady (2006)<br />
* Robert Cordwell (2005)<br />
* Sherry Gong (2002, 2003, 2004, 2005, 2007)<br />
* Elyot Grant (2005)<br />
* Darij Grinberg (2006)<br />
* Mahbubul Hasan (2005)<br />
* Daniel Kane (AoPS assistant instructor)<br />
* Kiran Kedlaya (1990, 1991, 1992) ([[Art of Problem Solving Foundation]] board member)<br />
* Viktoriya Krakovna (2006)<br />
* Nate Ince (2004) (AoPS assistant instructor)<br />
* Brian Lawrence (2005, 2007) ([[WOOT]] instructor)<br />
* Thomas Mildorf (2005) (AoPS assistant instructor)<br />
* Alison Miller (2004) (AoPS assistant instructor)<br />
* Richard Peng (2005, 2006)<br />
* Eric Price (2005)<br />
* David Rhee (2004, 2005, 2006)<br />
* Peng Shi (2004, 2005, 2006)<br />
* Arne Smeets (2003, 2004)<br />
* Arnav Tripathy (2006, 2007)<br />
* [[Naoki Sato]] (AoPS instructor)<br />
* Yi Sun (2006)<br />
* [[Valentin Vornicu]] (AoPS/MathLinks webmaster)<br />
* Melanie Wood (1998, 1999) ([[WOOT]] instructor)<br />
* Alex Zhai (2005, 2006, 2007, 2008)<br />
* Yufei Zhao (2004, 2005, 2006)<br />
* Tigran Sloyan(2003,2004,2005,2006,2007)<br />
* Marco Avila (2006)<br />
* Vipul Naik (2003,2004)<br />
* Bhargav Narayanan (2007)<br />
* Tigran Hakobyan (2007)<br />
<br />
===Perfect Scorers===<br />
*Brian Lawrence (2005)<br />
*Alex Zhai (2008)<br />
<br />
=== Gold medalists ===<br />
* Zarathustra Brady (2006)<br />
* Robert Cordwell (2005)<br />
* Darij Grinberg (2006)<br />
* Kiran Kedlaya (1990, 1992) ([[Art of Problem Solving Foundation]] board member)<br />
* Brian Lawrence (2005) ([[WOOT]] instructor)<br />
* Thomas Mildorf (2005) (AoPS assistant instructor)<br />
* Alison Miller (2004) (AoPS assistant instructor)<br />
* Arnav Tripathy (2006)<br />
* Eric Price (2005)<br />
* Yufei Zhao (2005)<br />
* Alex Zhai (2007, 2008)<br />
*Sherry Gong (2007)<br />
*Krishanu Sankar (2008)<br />
<br />
=== Silver medalists ===<br />
* Zachary Abel (2006) (AoPS assistant instructor)<br />
* Sherry Gong (2004, 2005)<br />
* Nate Ince (2004) (AoPS assistant instructor)<br />
* Kiran Kedlaya (1991) ([[Art of Problem Solving Foundation]] board member)<br />
* Viktoriya Krakovna (2006)<br />
* Hyun Soo Kim (2005) (AoPS assistant instructor)<br />
* Richard Peng (2005)<br />
* David Rhee (2006)<br />
* Naoki Sato (AoPS instructor)<br />
* Peng Shi (2006)<br />
* Arne Smeets (2004)<br />
* Yi Sun (2006)<br />
* [[Sam Vandervelde]] (1989) ([[WOOT]] instructor)<br />
* Melanie Wood (1998, 1999) ([[WOOT]] instructor)<br />
* Alex Zhai (2006)<br />
* Yufei Zhao (2006)<br />
* Tigran Sloyan(2006,2007)<br />
* Vipul Naik (2003,2004)<br />
<br />
=== Bronze medalists ===<br />
* Sherry Gong (2003)<br />
* Elyot Grant (2005)<br />
* Richard Peng (2006)<br />
* [[Naoki Sato]] (AoPS instructor)<br />
* [[Valentin Vornicu]] (AoPS/[[MathLinks]] webmaster)<br />
* Yufei Zhao (2004)<br />
* Tigran Sloyan(2004;2005)<br />
* Tigran Hakobyan (2007)<br />
<br />
== IPhO Participants and Medalists ==<br />
This is a list of members of the AoPS community who have competed for their country at the [[International Physics Olympiad]].<br />
=== Participants ===<br />
* Sherry Gong (2006)<br />
* Yi Sun (2004)<br />
* Arnav Tripathy (2006)<br />
<br />
=== Gold Medalists ===<br />
* Yi Sun (2004)<br />
* Rahul Singh (2007)<br />
<br />
=== Silver Medalists ===<br />
* Sherry Gong (2006)<br />
<br />
== IOI Medalists ==<br />
This list is of AoPSers who have won medals at the [[International Olympiad in Informatics]].<br />
<br />
==Gold Medalists ==<br />
* David Benjamin (2008)<br />
* Neal Wu (2008)<br />
<br />
==Silver Medalists ==<br />
* Brian Hamrick (2008)<br />
* Jacob Steinhardt (2008)<br />
<br />
==Bronze Medalists ==<br />
* David Benjamin (2007)<br />
<br />
<br />
== USAMO ==<br />
The following AoPSers have won the [[United States of America Mathematical Olympiad]] (USAMO). (Note that the definition of "winner" has changed over the years -- currently it is the top 12 scores on the USAMO, but in the past it has been the top 6 or top 8 scores.)<br />
=== Perfect Scorers ===<br />
* Daniel Kane (AoPS assistant instructor)<br />
* Kiran Kedlaya (1991) ([[Art of Problem Solving Foundation]] board member)<br />
* Brian Lawrence (2006) ([[WOOT]] instructor)<br />
<br />
=== Winners ===<br />
* Yakov Berchenko-Kogan (2006)<br />
* Wenyu Cao (2009)<br />
* Sherry Gong (2006, 2007)<br />
* Yi Han (2006)<br />
* Adam Hesterberg (2007)<br />
* Daniel Kane (AoPS assistant instructor)<br />
* Kiran Kedlaya (1990, 1991, 1992) ([[Art of Problem Solving Foundation]] board member)<br />
* Brian Lawrence (2005, 2006, 2007) ([[WOOT]] instructor)<br />
* Tedrick Leung (2006, 2007)<br />
* Haitao Mao (2007)<br />
* Richard Mccutchen (2006)<br />
* Albert Ni (2005)<br />
* [[David Patrick]] (1988) (AoPS instructor)<br />
* David Rolnick (2008) (AoPS assistant instructor)<br />
* [[Richard Rusczyk]] (1989) (AoPS founder)<br />
* Krishanu Sankar (2007,2008)<br />
* Peng Shi (2006)<br />
* Jacob Steinhardt (2007)<br />
* Yi Sun (2006)<br />
* Arnav Tripathy (2006, 2007)<br />
* [[Sam Vandervelde]] (1987, 1989) ([[WOOT]] instructor)<br />
* Melanie Wood (1998, 1999) ([[WOOT]] instructor)<br />
* David Yang (2009)<br />
* Alex Zhai (2006, 2007,2008)<br />
* Yufei Zhao (2006)<br />
<br />
== Putnam Fellows ==<br />
The top 5 students (including ties) on the collegiate [[Putnam Exam|William Lowell Putnam Competition]] are named Putnam Fellows.<br />
* David Ash (1981, 1982, 1983)<br />
* Daniel Kane (2003, 2004, 2005) (AoPS assistant instructor)<br />
* Kiran Kedlaya (1994, 1995, 1996) ([[AoPS Foundation]] board member)<br />
* Matthew Ince (2005) (AoPS assistant instructor)<br />
* Alexander Schwartz (2000, 2002)<br />
* Jan Siwanowicz (2001) <br />
* Melanie Wood (2002) ([[WOOT]] instructor)<br />
*Arnav Tripathy (2008)<br />
*Brian Lawrence (2008)<br />
<br />
== Siemens Competition Winners ==<br />
The annual [[Siemens Competition]] (formerly Siemens-Westinghouse) is a scientific research competition.<br />
* Michael Viscardi (1st Individual,2005)<br />
* Lucia Mocz (2nd Team, 2006)<br />
<br />
==Intel STS Finalists==<br />
The annual [[Intel Science Talent Search]] is a science competition seeking to find and reward the most scientifically accomplished seniors.<br />
<br />
* Philip Mocz (2008)<br />
* Yihe Dong (2008)<br />
* Qiaochu Yuan (2008)<br />
* Greg Brockman (2007)<br />
<br />
== Clay Junior Fellows ==<br />
Each year since 2003, the [[Clay Mathematics Institute]] has selected 12 Junior Fellows.<br />
* Thomas Belulovich (2005) (AoPS assistant instructor)<br />
* Atoshi Chowdhury (2003) (AoPS assistant instructor)<br />
* Robert Cordwell (2005)<br />
* Eve Drucker (2003) (AoPS assistant instructor)<br />
* Matthew Ince (2004) (AoPS assistant instructor)<br />
* Nate Ince (2004) (AoPS assistant instructor)<br />
* Hyun Soo Kim (2005) (AoPS assistant instructor)<br />
* Raju Krishnamoorthy (2005)<br />
* Alison Miller (2003) (AoPS assistant instructor)<br />
* Brian Rice (2003) (AoPS assistant instructor)<br />
* Dmitry Taubinski (2005) (AoPS assistant instructor)<br />
* Ameya Velingker (2005)<br />
<br />
<br />
== Perfect AIME Scores ==<br />
Very few students have ever achieved a perfect score on the [[American Invitational Mathematics Examination]] (AIME)<br />
<br />
* David Benjamin (2006)<br />
* [[Mathew Crawford]] (1992) (AoPS instructor)<br />
* Sam Elder (2008)<br />
* [[Sandor Lehoczky]] (1990) (AoPS author)<br />
* Tedrick Leung (2006)<br />
* Tony Liu (2006)<br />
* Haitao Mao (2008)<br />
* [[Richard Rusczyk]] (1989) (AoPS founder)<br />
* [[Sam Vandervelde]] (1988) ([[WOOT]] instructor)<br />
<br />
== Perfect AMC Scores ==<br />
=== Perfect AMC 12 Scores ===<br />
The [[AMC 12]] is a challenging examination for students in grades 12 and below administered by the [[American Mathematics Competitions]].<br />
* Zachary Abel (2005) (AoPS assistant instructor)<br />
* David Benjamin (2006)<br />
* Sam Elder (2008)<br />
* Ruozhou (Joe) Jia (2003) (AoPS assistant instructor)<br />
* Joel Lewis (2003) <br />
* Jonathan Lowd (2003) (AoPS assistant instructor)<br />
* Thomas Mildorf (2004) (AoPS assistant instructor)<br />
* Alison Miller (2004) (AoPS assistant instructor)<br />
* Albert Ni (2003) (AoPS instructor)<br />
* Ajay Sharma (2004)<br />
* Bobby Shen (2009)<br />
* Matt Superdock (2009)<br />
* Arnav Tripathy (2006, 2007)<br />
* Qiaochu Yuan (2008)<br />
* Alex Zhai (2007)<br />
<br />
===Perfect AMC 10 scorers===<br />
The [[AMC 10]] is a challenging examination for students in grades 10 and below administered by the [[American Mathematics Competitions]].<br />
* Matthew Babbitt (2009)<br />
* Sergei Bernstein (2007)<br />
* Yifan Cao (2005)<br />
* Kevin Chen (2007, 2008)<br />
* In Young Cho (2007)<br />
* Mario Choi (2007)<br />
* Calvin Deng (2008)<br />
* Billy Dorminy (2007)<br />
* Zhou Fan (2005)<br />
* Albert Gu (2007)<br />
* Robin He (2007)<br />
* Keone Hon (2005)<br />
* Susan Hu (2005)<br />
* Lyndon Ji (2008)<br />
* Sam Keller (2007)<br />
* Vincent Le (2006)<br />
* Daniel Li (2007)<br />
* Johnny Li (2007)<br />
* Patricia Li (2005)<br />
* Carl Lian (2007)<br />
* Sam Lite (2009)<br />
* Thomas Mildorf (2002) (AoPS assistant instructor)<br />
* Anupa Murali (2008)<br />
* Max Schindler (2009)<br />
* Eric Schneider (2009)<br />
* Jeffrey Shen (2008)<br />
* Howard Tong (2005)<br />
* Sam Trabucco (2008)<br />
* Brent Woodhouse (2006, 2007)<br />
* Jonathan Zhou (2007)<br />
<br />
=== Perfect AHSME Scores ===<br />
The [[American High School Mathematics Examination]] (AHSME) was the predecessor of the AMC 12.<br />
* Christopher Chang (1994, 1995, 1996)<br />
* [[Mathew Crawford]] (1994, 1995) (AoPS instructor)<br />
* [[David Patrick]] (1988) (AoPS instructor)<br />
<br />
== MATHCOUNTS ==<br />
[[MathCounts]] is the premier middle school [[mathematics competition]] in the U.S.<br />
=== National Champions ===<br />
* Ruozhou (Joe) Jia (2000) (AoPS assistant instructor)<br />
* Albert Ni (2002) (AoPS instructor)<br />
* Adam Hesterberg (2003)<br />
* Neal Wu (2005)<br />
* Daesun Yim (2006)<br />
* Kevin Chen (2007)<br />
* Darryl Wu (2008)<br />
* Bobby Shen (2009)<br />
<br />
=== National Top 12 ===<br />
* Ashley Reiter Ahlin (1987) ([[WOOT]] instructor)<br />
* Andrew Ardito (2005, 2006)<br />
* David Benjamin (2004, 2005)<br />
* Nathan Benjamin (2005, 2006)<br />
* Wenyu Cao (2007)<br />
* Christopher Chang (1991, 1992)<br />
* Kevin Chen (2006, 2007)<br />
* Steven Chen (2009)<br />
* Andrew Chien (2003)<br />
* Peter Chien (2004)<br />
* Mario Choi (2007)<br />
* Joseph Chu (2004)<br />
* Alexander Clifton (2009)<br />
* [[Mathew Crawford]] (1990, 1991) (AoPS instructor)<br />
* Calvin Deng (2009)<br />
* Brian Hamrick (2006)<br />
* Adam Hesterberg (2002, 2003)<br />
* Ruozhou (Joe) Jia (2000) (AoPS assistant instructor)<br />
* Sam Keller (2006)<br />
* Shaunak Kishore (2003, 2004)<br />
* Kiran Kota (2005)<br />
* Brian Lawrence (2003) ([[WOOT]] instructor)<br />
* Karlanna Lewis (2005)<br />
* Daniel Li (2006)<br />
* Patricia Li (2005)<br />
* Ray Li (2009)<br />
* Poh-Ling Loh (2000)<br />
* Albert Ni (2002) (AoPS assistant instructor)<br />
* Bobby Shen (2008, 2009)<br />
* Elizabeth Synge (2007)<br />
* Jason Trigg (2002)<br />
* [[Sam Vandervelde]] (1985) ([[WOOT]] instructor)<br />
* Victor Wang (2009)<br />
* Neal Wu (2005, 2006)<br />
* Rolland Wu (2006)<br />
* Xiaoyu He (2008)<br />
* David Yang (2009)<br />
* Daesun Yim (2006)<br />
* Darren Yin (2002)<br />
* Allen Yuan (2007)<br />
* Alex Zhai (2004)<br />
* Mark Zhang (2005)<br />
* Max Schindler (2009)<br />
* Alan Zhou (2009)<br />
<br />
=== Masters Round Champions ===<br />
* Christopher Chang (1991)<br />
* Brian Lawrence (2003) ([[WOOT]] instructor)<br />
* Sergei Bernstein (2005)<br />
* Daniel Li (2006)<br />
* Kevin Chen (2007)<br />
* Bobby Shen (2008)<br />
* Max Schindler (2009)<br />
<br />
=== National Test Champions ===<br />
* [[Mathew Crawford]] (1990) (AoPS instructor)<br />
* Adam Hesterberg (2003)<br />
* Sergei Bernstein (2005)<br />
* Neal Wu (2006)<br />
* Bobby Shen (2008)<br />
* David Yang (2009)<br />
<br />
== Harvard-MIT Math Tournament ==<br />
<br />
The [[HMMT]] 2007 winning team, the "WOOTlings", consisted entirely of [[WOOT]]ers:<br />
<br />
* Wenyu Cao<br />
* Eric Chang<br />
* Jeremy Hahn<br />
* Alex Kandell<br />
* Adeel Khan<br />
* Sathish Nagappan<br />
* Krishanu Roy Sankar<br />
* Patrick Tenorio<br />
<br />
== ARML ==<br />
<br />
=== ARML winners ===<br />
<br />
=== ARML Top 10 ===<br />
* Zachary Abel (2006) (AoPS assistant instructor)<br />
* Seva Tchernov (2007)<br />
* Arnav Tripathy (2007)<br />
* Daesun Yim (2008)<br />
<br />
== See also ==<br />
* [[Academic competitions]]<br />
* [[Mathematics competitions]]<br />
* [[Mathematics competition resources]]<br />
* [[Academic scholarships]]<br />
<br />
<br />
<br />
[[Category:Art of Problem Solving]]</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki_talk:AoPS_Community_Awards&diff=31688AoPS Wiki talk:AoPS Community Awards2009-05-17T14:33:14Z<p>Edward130603: AoPSWiki talk:AoPS Community Awards moved to AoPSWiki talk:AoPS Community Awardss</p>
<hr />
<div>This list is very very far from complete, but there's no way I can know who everyone is or track down every major award, so I'll leave most of the rest for the community to fill out.--[[User:MCrawford|MCrawford]] 17:39, 26 June 2006 (EDT)<br />
<br />
I added Neal Wu to this list. Last summer, he told me that he uses the AoPS books, and he has an AoPS screename. He said, however, that he doesn't post much, instead preffering to just work the problems himself, and look at a posted solution when absolutely neccessary. So, although he may not be an active member, he does have an account, and he does browse the forums. Therefore, added. --[[User:Mysmartmouth|Sean]] 00:06, 27 June 2006 (EDT)<br />
<br />
I removed AMC 8 perfects because the list would be utterly huge. If somebody wants, they can create a different page for it and simply link to that page from this one, but I also feel like there is a long list of accomplishments that would be more noteable that we aren't adding to this already long list of distinguishing achievements (such as Mandelbrot or Mu Alpha Theta winners).--[[User:MCrawford|MCrawford]] 01:11, 27 June 2006 (EDT)<br />
<br />
Do you think we should keep AMC10 perfects? That list will probably get to be fairly large too... --[[User:Eryaman|Eryaman]]<br />
<br />
[[AMC 8-10 perfects]] created ---[[User:Dojo|Dojo]] 04:20, 27 October 2008 (UTC)<br />
<br />
Eh it got deleted. Can someone get the info back?--[[User:Dojo|Dojo]] 06:03, 3 January 2009 (UTC)<br />
<br />
== AIME Perfect Scores ==<br />
<br />
Did Arnav get a perfect AIME score this year (2006)? NC doesn't show any on the AMC site. Someone may want to check this.<br />
<br />
[http://www2.chccs.k12.nc.us/education/components/scrapbook/default.php?sectiondetailid=27519&pagecat=1029&PHPSESSID=8cce4c7b52cb2581a5b3cf2973c835cf| article] This site says he did, but the amc site says there weren't any in NC. Why not ask him? Should we add a section for people who won as part of a team in the Putnam? What about the Elizabeth Lowell Putnam prize winners? -quantum leap<br />
<br />
I removed MathCounts team awards and I feel like Putnam team awards would result in a similarly large list. These awards can be mentioned in the historical results pages for each competition.--[[User:MCrawford|MCrawford]] 16:35, 8 July 2006 (EDT)<br />
<br />
==ISEF, NVC, and WPC==<br />
I understand that ISEF, the National Vocabulary Championship, and the Reader's Digest Word Power Challenge sections disappeared courtesy of Scrambled. I know it's bragging on myself, but there were other people that I listed in each section as AoPSers who've won. Am I just being ridiculously bragging, or should this be reverted?--[[User:Solafidefarms|solafidefarms]] 13:25, 12 August 2007 (EDT)<br />
<br />
I would restore ISEF, but the other two seem somewhat off-topic here. --[[User:JBL|JBL]] 11:33, 13 August 2007 (EDT)<br />
<br />
Possibly, but didn't Anurag Kashyap get a sitewide entry in the rotating banners when he won NSB, because he was a SDMCian?--[[User:Solafidefarms|solafidefarms]] 20:14, 18 August 2007 (EDT)<br />
<br />
Also, I observe that this page is linked to in the banner as a list of accomplishments of AoPS members. So how is NVC & RDWPC not relevant? We're supposed to be bragging on what AoPSers have done, not just in math. [Also, ISEF never got restored. ...]--solafidefarms</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=1985_AJHSME_Problems/Problem_14&diff=316851985 AJHSME Problems/Problem 142009-05-17T14:32:57Z<p>Edward130603: </p>
<hr />
<div>==Problem==<br />
<br />
The [[subtraction|difference]] between a <math>6.5\% </math> sales tax and a <math>6\% </math> sales tax on an item priced at <dollar/><math>20</math> before tax is<br />
<br />
<math>\text{(A)}</math> <dollar/><math>.01</math> <br />
<br />
<math>\text{(B)}</math> <dollar/><math>.10</math><br />
<br />
<math>\text{(C)}</math> <dollar/><math>.50</math> <br />
<br />
<math>\text{(D)}</math> <dollar/><math>1</math> <br />
<br />
<math>\text{(E)}</math> <dollar/><math>abefore tax is<br />
<br />
</math>\text{(A)}<math> <dollar/></math>.01<math> <br />
<br />
</math>\text{(B)}<math> <dollar/></math>.10<math><br />
<br />
</math>\text{(C)}<math> <dollar/></math>.50<math> <br />
<br />
</math>\text{(D)}<math> <dollar/></math>1<math> <br />
<br />
</math>\text{(E)}<math> <dollar/></math>abefore tax is<br />
<br />
<math>\text{(A)}</math> <dollar/><math>.01</math> <br />
<br />
<math>\text{(B)}</math> <dollar/><math>.10</math><br />
<br />
<math>\text{(C)}</math> <dollar/><math>.50</math> <br />
<br />
<math>\text{(D)}</math> <dollar/><math>1</math> <br />
<br />
<math>\text{(E)}</math> <dollar/><math>abefore tax is<br />
<br />
</math>\text{(A)}<math> <dollar/></math>.01<math> <br />
<br />
</math>\text{(B)}<math> <dollar/></math>.10<math><br />
<br />
</math>\text{(C)}<math> <dollar/></math>.50<math> <br />
<br />
</math>\text{(D)}<math> <dollar/></math>1<math> <br />
<br />
</math>\text{(E)}<math> <dollar/></math>abefore tax is<br />
<br />
<math>\text{(A)}</math> <dollar/><math>.01</math> <br />
<br />
<math>\text{(B)}</math> <dollar/><math>.10</math><br />
<br />
<math>\text{(C)}</math> <dollar/><math>.50</math> <br />
<br />
<math>\text{(D)}</math> <dollar/><math>1</math> <br />
<br />
<math>\text{(E)}</math> <dollar/>$a</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=2000_AMC_12_Problems/Problem_20&diff=316832000 AMC 12 Problems/Problem 202009-05-17T14:32:28Z<p>Edward130603: 2000 AMC 12 Problems/Problem 20 moved to 2000 AMC 12 Problems/Problem 200: error</p>
<hr />
<div>== Problem ==<br />
If <math>x,y,</math> and <math>z</math> are positive numbers satisfying<br />
<br />
<cmath>x + 1/y = 4,\qquad y + 1/z = 1, \qquad \text{and} \qquad z + 1/x = 7/3</cmath><br />
<br />
Then what is the value of <math>xyz</math> ?<br />
<br />
<math>\text {(A)}\ 2/3 \qquad \text {(B)}\ 1 \qquad \text {(C)}\ 4/3 \qquad \text {(D)}\ 2 \qquad \text {(E)}\ 7/3</math><br />
<br />
__TOC__<br />
<br />
== Solution ==<br />
=== Solution 1 ===<br />
Multiplying all three expressions together,<br />
<br />
<cmath>\begin{align*}<br />
\left( x + \frac 1y \right) \left( y + \frac 1z \right) \left( z + \frac 1x \right) &= xyz + x + y + z + \frac 1x + \frac 1y + \frac 1z + \frac 1{xyz}\\<br />
(4)(1)\left(\frac 73\right) &= 4 + 1 + \frac 73 + xyz + \frac 1{xyz}\\<br />
2 &= xyz + \frac 1{xyz}\\<br />
0 &= (xyz - 1)^2<br />
\end{align*}</cmath><br />
<br />
Thus <math>xyz = 1 \Rightarrow B</math><br />
<br />
=== Solution 2 ===<br />
We have a system of three equations and three variables, so we can apply repeated substitution. <br />
<br />
<cmath>4 = x + \frac{1}{y} = x + \frac{1}{1 - \frac{1}{z}} = x + \frac{1}{1-\frac{1}{7/3-1/x}} = x + \frac{7x-3}{4x-3}</cmath><br />
<br />
Multiplying out the denominator and simplification yields <math>4(4x-3) = x(4x-3) + 7x - 3 \Longrightarrow (2x-3)^2 = 0</math>, so <math>x = \frac{3}{2}</math>. Substituting leads to <math>y = \frac{2}{5}, z = \frac{5}{3}</math>, and the product of these three variables is <math>1</math>.<br />
<br />
== See also ==<br />
{{AMC12 box|year=2000|num-b=19|num-a=21}}<br />
<br />
[[Category:Introductory Algebra Problems]]</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Site_support&diff=31679AoPS Wiki:Site support2009-05-17T14:31:50Z<p>Edward130603: AoPSWiki:Site support moved to Abc: better</p>
<hr />
<div>#REDIRECT [[Abc]]</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Site_Support&diff=31678AoPS Wiki:Site Support2009-05-17T14:31:49Z<p>Edward130603: AoPSWiki:Site support moved to Abc: better</p>
<hr />
<div>Here are several ways you can support [[AoPSWiki]], [[Art of Problem Solving]] (AoPS) work, and [[problem solving]] education in general:<br />
<br />
* Poop! BS! ABC! Tell others about the site - the growth of the AoPS Community is good for everyone.<br />
* Contribute your knowledge to the [[AoPSWiki]] and the [http://www.artofproblemsolving.com/Forum/index.php Art of Problem Solving Community].<br />
* Help us by helping yourself: buy books from the [http://www.artofproblemsolving.com/Books/AoPS_B_About.php Art of Problem Solving Bookstore] or enroll in [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php Art of Problem Solving Online Classes].<br />
* Donate to the [[Art of Problem Solving Foundation]].<br />
* See [[AoPSWiki:Linking books]] for ways to help the AoPSWiki generate revenue to pay for itself.<br />
<br />
<br />
<br />
[[Category:AoPSWiki|Site support]]</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Site_Support&diff=31677AoPS Wiki:Site Support2009-05-17T14:31:22Z<p>Edward130603: add detail</p>
<hr />
<div>Here are several ways you can support [[AoPSWiki]], [[Art of Problem Solving]] (AoPS) work, and [[problem solving]] education in general:<br />
<br />
* Poop! BS! ABC! Tell others about the site - the growth of the AoPS Community is good for everyone.<br />
* Contribute your knowledge to the [[AoPSWiki]] and the [http://www.artofproblemsolving.com/Forum/index.php Art of Problem Solving Community].<br />
* Help us by helping yourself: buy books from the [http://www.artofproblemsolving.com/Books/AoPS_B_About.php Art of Problem Solving Bookstore] or enroll in [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php Art of Problem Solving Online Classes].<br />
* Donate to the [[Art of Problem Solving Foundation]].<br />
* See [[AoPSWiki:Linking books]] for ways to help the AoPSWiki generate revenue to pay for itself.<br />
<br />
<br />
<br />
[[Category:AoPSWiki|Site support]]</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=Academic_competitions&diff=31675Academic competitions2009-05-17T14:30:40Z<p>Edward130603: Undo revision 31629 by Boy Soprano II (Talk)</p>
<hr />
<div>'''Academic competitions''' typically challenge students to demonstrate their proficiency in academic subjects at a level above that of a typical classroom setting or [[standardized test | standardized testing]].<br />
<br />
<br />
== Types of academic competitions ==<br />
* [[Debate competitions]]<br />
* [[Engineering competitions]]<br />
* [[Foreign Language Competitions]]<br />
* [[Informatics competitions]]<br />
* [[Knowledge bowl competitions]]<br />
* [[Literary competitions]] (including essay competitions)<br />
* [[Mathematical modeling competitions]]<br />
* [[Mathematics competitions]]<br />
* [[Puzzle competitions]]<br />
* [[Science competitions]]<br />
* [[Speech competitions]]<br />
* [[Spelling competitions]]<br />
* [[Technology competitions]]<br />
* [[Stupidity]]<br />
<br />
<br />
== See also ==<br />
* [[Academic scholarships]]<br />
* [[Academic summer programs]]<br />
<br />
<br />
<br />
[[Category:Academic resources]]</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=AoPS_Competitions&diff=31592AoPS Competitions2009-05-10T18:43:42Z<p>Edward130603: change status</p>
<hr />
<div>This page is meant for listing all of the competitions that are on AoPS at a given time. Another page has been created for Archived competitions, which can be found at the page [[Archived Competitions]]. Please list the competitions according to forums.<br />
<br />
<br />
Many current competitions.</div>Edward130603https://artofproblemsolving.com/wiki/index.php?title=Academic_competitions&diff=31591Academic competitions2009-05-10T18:43:18Z<p>Edward130603: Add experimental category</p>
<hr />
<div>'''Academic competitions''' typically challenge students to demonstrate their proficiency in academic subjects at a level above that of a typical classroom setting or [[standardized test | standardized testing]].<br />
<br />
<br />
== Types of academic competitions ==<br />
* [[Debate competitions]]<br />
* [[Engineering competitions]]<br />
* [[Foreign Language Competitions]]<br />
* [[Informatics competitions]]<br />
* [[Knowledge bowl competitions]]<br />
* [[Literary competitions]] (including essay competitions)<br />
* [[Mathematical modeling competitions]]<br />
* [[Mathematics competitions]]<br />
* [[Puzzle competitions]]<br />
* [[Science competitions]]<br />
* [[Speech competitions]]<br />
* [[Spelling competitions]]<br />
* [[Technology competitions]]<br />
* [[Stupidity]]<br />
<br />
<br />
== See also ==<br />
* [[Academic scholarships]]<br />
* [[Academic summer programs]]<br />
<br />
<br />
<br />
[[Category:Academic resources]]</div>Edward130603