https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Gauss1181&feedformat=atomAoPS Wiki - User contributions [en]2021-06-21T10:39:16ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=Illinois_Mathcounts&diff=39698Illinois Mathcounts2011-06-18T03:37:40Z<p>Gauss1181: </p>
<hr />
<div>Illinois Mathcounts is one of the state competitions held for Mathcounts. Each year the state of Illinois sends its top four scorers in the state competition held every year in March at the Holiday Inn in Matteson. Countdown is unofficial, so separate awards are rewarded for countdown winners. The state team is picked solely based on written round scores.<br />
<br />
== National Team Awards and Placement ==<br />
<br />
* 2011 - 5th<br />
* 2010 - 2nd<br />
* 2009 - 15th<br />
* 2008 - 13th<br />
* 2006 - 5th<br />
* 2004 - 1st<br />
* 2003 - 4th<br />
<br />
== IL State Team Champions ==<br />
<br />
* 2011 - Kennedy Junior High School, Lisle<br />
* 2010 - Kennedy Junior High School, Lisle<br />
* 2009 - Kennedy Junior High School, Lisle<br />
* 2008 - Avery Coonley School, Downers Grove<br />
* 2007 - Kennedy Junior High School, Lisle<br />
* 2006 - Percy Julian Middle School<br />
* 2004 - Kennedy Junior High School, Lisle<br />
* 2003 - Avery Coonley School, Downers Grove<br />
<br />
== IL State Team Members (National Written Place, CD place if unknown) ==<br />
<br />
* 2011 - Kevin Sun (3rd), Brice Wang (46th), Emily Mu, Hyun Woo Yim, Coach: Suzanne Croco<br />
<br />
* 2010- Ravi Jagadeesan (21st), James Tao (13th), Kevin He, Kevin Sun (28th), Coach: Suzanne Croco<br />
<br />
* 2009- Megan Chen (20th), Patrick Liscio, James Tao, David Wang, Coaches: Krish Revuluri (subbed for Suzanne Croco), Marianne Schultz (assistant coach), Ana Kamath (assistant coach).<br />
<br />
* 2008- Joshua Dement (15th), Adam Kalinich (48th), Ravi Jagadeesan (53rd), John Park, Coach: Kris Laska<br />
<br />
* 2007 - Kevin Hu, Peter Bang, Zachary Levine, Margaret Coad, Coach: Suzanne Croco<br />
<br />
* 2006 - Arjun Puranik (12th), Evangelie Zachos (?th but in top 57), Katherine Rudolph, Christopher Adams, Coach: Sharon Gunnell<br />
<br />
* 2004 - Gregory Gauthier (1st), Alex Zhai (6th), Jennifer Iglesias (?th in top 57), Zach Nahlik (?th in top 57), Coach: Steven Ondes<br />
<br />
* 2002 - Albert Ni (1st)<br />
<br />
* 2000 - Ruozhou Jia (1st)<br />
<br />
* 1994 - William Engel (1st)<br />
<br />
* 1988 - Andrew Schultz (1st)<br />
<br />
==National Countdown Round==<br />
<br />
* 2011 - Kevin Sun: Q (3rd)<br />
<br />
* 2006 - Arjun Puranik: P (12th)<br />
<br />
* 2004 - Gregory Gauthier (1st), Alex Zhai: P (6th)<br />
<br />
* 2003- Gregory Gauthier (7th place)<br />
<br />
* 2002 - Albert Ni (1st)<br />
<br />
* 2000 - Ruozhou Jia (1st)<br />
<br />
* 1994 - William Engel (1st)<br />
<br />
* 1988 - Andrew Schultz (1st)<br />
<br />
==Masters Round==<br />
<br />
* 2011 - Kevin Sun<br />
<br />
* 2004 - Gregory Gauthier (participated AND won, also won written and countdown altogether)<br />
<br />
==State Countdown Winners==<br />
<br />
* 2010 - Kevin He<br />
<br />
* 2009 - Eric Lullo, Ravi Jagadeesan, Megan Chen, Thomas Wu<br />
<br />
* 2008 - Adam Kalinich, Ravi Jagadeesan, Joshua DeMent, Kyle Redden<br />
<br />
* 2007 - Peter Bang</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=Illinois_Mathcounts&diff=34226Illinois Mathcounts2010-04-04T02:52:43Z<p>Gauss1181: </p>
<hr />
<div>Illinois Mathcounts is one of the state competitions held for Mathcounts. Each year the state of Illinois sends its top four scorers in the state competition held every year in March at the Holiday Inn in Matteson. Countdown is unofficial, so separate awards are rewarded for countdown winners. The state team is picked solely based on written round scores.<br />
<br />
== National Team Awards and Placement ==<br />
<br />
* 2009 15th<br />
* 2008 13th<br />
* 2006 5th<br />
* 2004 1st<br />
* 2003 4th<br />
<br />
== IL State Team Champions ==<br />
<br />
* 2010 - Kennedy Junior High School, Lisle<br />
* 2009 - Kennedy Junior High School, Lisle<br />
* 2008 - Avery Coonley School, Downers Grove<br />
* 2007 - Kennedy Junior High School, Lisle<br />
* 2006 - Plum Grove Junior High School, Rolling Meadows<br />
* 2004 - Kennedy Junior High School, Lisle<br />
* 2003 - Avery Coonley School, Downers Grove<br />
<br />
== IL State Team Members and Written Place (CD place if unknown) ==<br />
<br />
* 2010- Ravi Jagadeesan, James Tao, Kevin He, Kevin Sun, Coach: Suzanne Croco<br />
<br />
* 2009- Megan Chen (20th), Patrick Liscio, James Tao, David Wang, Coaches: Krish Revuluri (subbed for Suzanne Croco), Marianne Schultz (assistant coach), Ana Kamath (assistant coach).<br />
<br />
* 2008- Joshua Dement (15th), Adam Kalinich (48th), Ravi Jagadeesan (53rd), John Park, Coach: Kris Laska<br />
<br />
* 2007 - Kevin Hu, Peter Bang, Zachary Levine, Margaret Coad, Coach: Suzanne Croco<br />
<br />
* 2006 - Arjun Puranik (12th), Evangelie Zachos (?th but in top 57), Katherine Rudolph, Christopher Adams, Coach: Sharon Gunnell<br />
<br />
* 2004 - Gregory Gauthier (1st), Alex Zhai (6th), Jennifer Iglesias (?th in top 57), Zach Nahlik (?th in top 57), Coach: Steven Ondes<br />
<br />
==Countdown Round==<br />
<br />
* 2006 - Arjun Puranik: P (12th)<br />
<br />
* 2004 - Gregory Gauthier (1st), Alex Zhai: P (6th)<br />
<br />
* 2003- Gregory Gauthier (7th place)<br />
<br />
==Masters Round==<br />
<br />
* 2004 - Gregory Gauthier (participated AND won, also won written and countdown altogether)<br />
<br />
==State Countdown Winners==<br />
<br />
* 2010 - Kevin He<br />
<br />
* 2009 - Eric Lullo, Ravi Jagadeesan, Megan Chen, Thomas Wu<br />
<br />
* 2008 - Adam Kalinich, Ravi Jagadeesan, Joshua DeMent, Kyle Redden<br />
<br />
* 2007 - Peter Bang</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1998_USAMO_Problems/Problem_3&diff=326331998 USAMO Problems/Problem 32009-08-11T16:55:01Z<p>Gauss1181: Created page with '1998 USAMO Problem #1 Problem: Let <math>a_0,\cdots a_n</math> be real numbers in the interval <math>(0,\frac {\pi}{2})</math> such that <math>\tan{(a_0 - \frac {\pi}{4})} + \t…'</p>
<hr />
<div>1998 USAMO Problem #1<br />
<br />
Problem:<br />
<br />
Let <math>a_0,\cdots a_n</math> be real numbers in the interval <math>(0,\frac {\pi}{2})</math> such that<br />
<math>\tan{(a_0 - \frac {\pi}{4})} + \tan{(a_1 - \frac {\pi}{4})} + \cdots + \tan{(a_n - \frac {\pi}{4})}\ge n - 1</math>.<br />
Prove that <math>\tan{(a_0)}\tan{(a_1)}\cdots \tan{(a_n)}\ge n^{n + 1}</math>.<br />
<br />
Solution:<br />
<br />
Let <math>y_i = \tan{(a_i - \frac {\pi}{4})}</math>, where <math>0\le i\le n</math>. Then we have<br />
<br />
*<math>y_0 + y_1 + \cdots + y_n\ge n - 1</math><br />
*<math>1 + y_i\ge \sum_{j\neq i}{(1 - y_j)}</math><br />
*<math>\frac {1 + y_i}{n}\ge \frac {1}{n}\sum_{j\neq i}{(1 - y_j)}</math><br />
<br />
By AM-GM,<br />
<br />
*<math>\frac {1}{n}\sum_{j\neq i}{(1 - y_j)}\ge \prod_{j\neq i}{(1 - y_j)^{\frac {1}{n}}}</math><br />
*<math>\frac {1 + y_i}{n}\ge \prod_{j\neq i}{(1 - y_j)^{\frac {1}{n}}}</math><br />
*<math>\prod_{i = 0}^n{\frac {1 + y_i}{n}}\ge \prod_{i = 0}^n{\prod_{j\neq i}{(1 - y_j)^{\frac {1}{n}}}</math><br />
*<math>= \prod_{i = 0}^n{(1 - y_i)}</math><br />
*<math>\prod_{i = 0}^n{\frac {1 + y_i}{1 - y_i}}\ge \prod_{i = 0}^n{n} = n^{n + 1}</math><br />
<br />
Note that by the addition formula for tangents, <math>\tan{(a_i)} = \tan{[(a_i - \frac {\pi}{4}) + \frac {\pi}{4}]} = \frac {1 + \tan{(a_i - \frac {\pi}{4})}}{1 - \tan{(a_i - \frac {\pi}{4})}} = \frac {1 + y_i}{1 - y_i}</math>.<br />
<br />
So <math>\prod_{i = 0}^n{\frac {1 + y_i}{1 - y_i}} = \tan{(a_0)}\tan{(a_1)}\cdots \tan{(a_n)}\ge n^{n + 1}</math>, as desired.<br />
<br />
<math>\text{QED}</math></div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1998_USAMO&diff=326321998 USAMO2009-08-11T16:53:19Z<p>Gauss1181: </p>
<hr />
<div>The 1998 USAMO problems. There were 6 problems total, to be completed over a period of 2 days, 3 problems per day, four and a half hours per day.<br />
<br />
*[[1998 Problem 1]]<br />
*[[1998 Problem 2]]<br />
*[[1998 Problem 3]]<br />
*[[1998 Problem 4]]<br />
*[[1998 Problem 5]]<br />
*[[1998 Problem 6]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1998_USAMO&diff=326311998 USAMO2009-08-11T16:52:42Z<p>Gauss1181: Created page with 'The 1998 USAMO problems. There were 6 problems total, to be completed over a period of 2 days, 3 problems per day, four and a half hours per day. *Problem 1 *Problem 2 *…'</p>
<hr />
<div>The 1998 USAMO problems. There were 6 problems total, to be completed over a period of 2 days, 3 problems per day, four and a half hours per day.<br />
<br />
*[[Problem 1]]<br />
*[[Problem 2]]<br />
*[[Problem 3]]<br />
*[[Problem 4]]<br />
*[[Problem 5]]<br />
*[[Problem 6]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1984_USAMO_Problems/Problem_1&diff=326301984 USAMO Problems/Problem 12009-08-11T16:35:06Z<p>Gauss1181: </p>
<hr />
<div>1984 USAMO Problem #1<br />
<br />
Problem:<br />
<br />
In the polynomial <math>x^4 - 18x^3 + kx^2 + 200x - 1984 = 0</math>, the product of <math>2</math> of its roots is <math>- 32</math>. Find <math>k</math>.<br />
<br />
Solution:<br />
<br />
Let the four roots be <math>a,b,c,d</math>. By Vieta's Formulas, we have the following:<br />
<br />
*<math>ab = - 32</math><br />
*<math>abcd = - 1984</math><br />
*<math>cd = 62</math><br />
*<math>a + b + c + d = 18</math>*<br />
*<math>ab + ac + ad + bc + bd + cd = k</math><br />
*<math>abc + abd + acd + bcd = - 200</math><br />
<br />
Substituting given values obtains the following:<br />
<br />
*<math>ac + ad + bc + bd = k - 62 + 32 = k - 30</math><br />
*<math>(a + b)(c + d) = k - 30</math><br />
*<math>- 32c + 62b + 62a - 32d = - 200</math><br />
*<math>31(a + b) - 16(c + d) = - 100</math><br />
<br />
Multiplying the * equation by 16 gives<br />
<br />
<math>16(a + b) + 16(c + d) = 288</math>. Adding it to the previous equation gives<br />
<br />
*<math>47(a + b) = 188</math><br />
*<math>a + b = 4</math><br />
*<math>c + d = 18 - 4 = 14</math><br />
*<math>(a + b)(c + d) = 4(14) = 56 = k - 30</math><br />
*<math>k = \boxed{86}</math></div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1984_USAMO_Problems/Problem_1&diff=326291984 USAMO Problems/Problem 12009-08-11T16:33:41Z<p>Gauss1181: Created page with '1984 USAMO Problem #1 Problem: In the polynomial <math>x^4 - 18x^3 + kx^2 + 200x - 1984 = 0</math>, the product of <math>2</math> of its roots is <math>- 32</math>. Find <math>…'</p>
<hr />
<div>1984 USAMO Problem #1<br />
<br />
Problem:<br />
<br />
In the polynomial <math>x^4 - 18x^3 + kx^2 + 200x - 1984 = 0</math>, the product of <math>2</math> of its roots is <math>- 32</math>. Find <math>k</math>.<br />
<br />
Solution:<br />
<br />
Let the four roots be <math>a,b,c,d</math>. By Vieta's Formulas, we have the following:<br />
<br />
<math>ab = - 32</math><br />
<math>abcd = - 1984</math><br />
<math>cd = 62</math><br />
<math>a + b + c + d = 18</math>*<br />
<math>ab + ac + ad + bc + bd + cd = k</math><br />
<math>abc + abd + acd + bcd = - 200</math><br />
<br />
Substituting given values obtains the following:<br />
<br />
<math>ac + ad + bc + bd = k - 62 + 32 = k - 30</math><br />
<math>(a + b)(c + d) = k - 30</math><br />
<math>- 32c + 62b + 62a - 32d = - 200</math><br />
<math>31(a + b) - 16(c + d) = - 100</math><br />
*Multiplying the equation by 16 gives<br />
<br />
<math>16(a + b) + 16(c + d) = 288</math>. Adding it to the previous equation gives<br />
<br />
<math>47(a + b) = 188</math><br />
<math>a + b = 4</math><br />
<math>c + d = 18 - 4 = 14</math><br />
<math>(a + b)(c + d) = 4(14) = 56 = k - 30</math><br />
<math>k = \boxed{86}</math></div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1984_USAMO&diff=326281984 USAMO2009-08-11T16:31:45Z<p>Gauss1181: </p>
<hr />
<div>1984 USAMO Problems. There were 5 problems, with three and a half hours to solve them.<br />
<br />
*[[Problem 1]]<br />
*[[Problem 2]]<br />
*[[Problem 3]]<br />
*[[Problem 4]]<br />
*[[Problem 5]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1984_USAMO&diff=326271984 USAMO2009-08-11T16:31:20Z<p>Gauss1181: Created page with '1984 USAMO Problems. There were 5 problems, with three and a half hours to solve them. Problem 1 Problem 2 Problem 3 Problem 4 Problem 5'</p>
<hr />
<div>1984 USAMO Problems. There were 5 problems, with three and a half hours to solve them.<br />
<br />
[[Problem 1]]<br />
[[Problem 2]]<br />
[[Problem 3]]<br />
[[Problem 4]]<br />
[[Problem 5]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=MathCounts_historical_results&diff=32416MathCounts historical results2009-07-18T23:24:50Z<p>Gauss1181: </p>
<hr />
<div>This is the '''MathCounts historical results''' page. Post [[MathCounts]] statistics and lists of high scorers here so that the MathCounts page doesn't get cluttered.<br />
<br />
<br />
== National Team Champions ==<br />
* 1984: [[Virginia MathCounts]]<br />
* 1985: [[Florida MathCounts]]<br />
* 1986: [[California MathCounts]]<br />
* 1987: [[New York MathCounts]]<br />
* 1988: [[New York MathCounts]]<br />
* 1989: [[North Carolina MathCounts]]<br />
* 1990: [[Ohio MathCounts]]<br />
* 1991: [[Alabama MathCounts]]<br />
* 1992: [[California MathCounts]]<br />
* 1993: [[Kansas MathCounts]]<br />
* 1994: [[Pennsylvania MathCounts]]<br />
* 1995: [[Indiana MathCounts]]<br />
* 1996: [[Pennsylvania MathCounts]]<br />
* 1997: [[Massachusetts MathCounts]]<br />
* 1998: [[Wisconsin MathCounts]]<br />
* 1999: [[Massachusetts MathCounts]]<br />
* 2000: [[California MathCounts]]<br />
* 2001: [[Virginia MathCounts]]<br />
* 2002: [[California MathCounts]]<br />
* 2003: [[California MathCounts]]<br />
* 2004: [[Illinois Mathcounts]]<br />
* 2005: [[Texas MathCounts]]<br />
* 2006: [[Virginia MathCounts]]<br />
* 2007: [[Texas MathCounts]]<br />
* 2008: [[Texas MathCounts]]<br />
* 2009: [[Texas MathCounts]]<br />
<br />
== Countdown Round Champions ==<br />
The champions of the Count Down Round are considered the individual national champions of MathCounts.<br />
* 1984: Michael Edwards, [[Texas MathCounts]]<br />
* 1985: Timothy Kokesh, [[Oklahoma MathCounts]]<br />
* 1986: Brian David Ewald, [[Florida MathCounts]]<br />
* 1987: Russell Mann, [[Tennessee MathCounts]]<br />
* 1988: Andrew Schultz, [[Illinois Mathcounts]]<br />
* 1989: Albert Kurz, [[Pennsylvania MathCounts]]<br />
* 1990: Brian Jenkins, [[Arkansas MathCounts]]<br />
* 1991: Jonathan L. Weinstein, [[Massachusetts MathCounts]]<br />
* 1992: Andrei C. Gnepp, [[Ohio MathCounts]]<br />
* 1993: Carleton Bosley, [[Kansas MathCounts]]<br />
* 1994: William O. Engel, [[Illinois Mathcounts]]<br />
* 1995: Richard Reifsnyder, [[Kentucky MathCounts]]<br />
* 1996: Alexander Schwartz, [[Pennsylvania MathCounts]]<br />
* 1997: Zhihao (Howard) Liu, [[Wisconsin MathCounts]]<br />
* 1998: Ricky Liu, [[Massachusetts MathCounts]]<br />
* 1999: Po-Ru Loh, [[Wisconsin MathCounts]]<br />
* 2000: Ruozhou (Joe) Jia, [[Illinois Mathcounts]]<br />
* 2001: Ryan Ko, [[New Jersey MathCounts]]<br />
* 2002: Albert Ni, [[Illinois Mathcounts]]<br />
* 2003: Adam Hesterberg, [[Washington MathCounts]]<br />
* 2004: Gregory Gauthier, [[Illinois Mathcounts]]<br />
* 2005: Neal Wu, [[Louisiana MathCounts]]<br />
* 2006: Daesun Yim, [[New Jersey MathCounts]]<br />
* 2007: Kevin Chen, [[Texas Mathcounts]]<br />
* 2008: Darryl Wu, [[Washington MathCounts]]<br />
* 2009: Bobby Shen, [[Texas MathCounts]]<br />
<br />
== Masters Round Winners ==<br />
* 1990 Brian Jenkins, [[Arkansas MathCounts]]<br />
* 1991 Chris Chang, [[New Jersey MathCounts]]<br />
* 1999 Po-Ru Loh, [[Wisconsin MathCounts]]<br />
* 2000 Tiankai Liu, [[California MathCounts]]<br />
* 2001 Po-Ling Loh, [[Wisconsin MathCounts]]<br />
* 2002 Jason Trigg, [[Pennsylvania MathCounts]]<br />
* 2003 Brian Lawrence, [[Maryland MathCounts]]<br />
* 2004 Gregory Gauthier, [[Illinois Mathcounts]]<br />
* 2005 Sergei Bernstein, [[Massachusetts MathCounts]]<br />
* 2006 Daniel Li, [[Virginia MathCounts]]<br />
* 2008 Bobby Shen, [[Texas MathCounts]]<br />
* 2009 Maximilian Schindler, [[Missouri Mathcounts]]<br />
<br />
== Written Test Champions ==<br />
* 1989 Lenny Ng, [[North Carolina MathCounts]]<br />
* 1990 Mathew Crawford ([[Alabama MathCounts]]), Daniel Schepler ([[Ohio MathCounts]]), Ravi Shanmugan ([[Kansas MathCounts]])<br />
* 1991 Jonathan L. Weinstein, [[Massachusetts MathCounts]]<br />
* 1999 Po-Ru Loh, [[Wisconsin MathCounts]]<br />
* 2000 Tiankai Liu, [[California MathCounts]]<br />
* 2001 Ryan Ko, [[New Jersey MathCounts]]<br />
* 2002 Conner Rogers, [[Colorado MathCounts]]<br />
* 2003 Adam Heseterberg, [[Washington MathCounts]]<br />
* 2004 Gregory Gauthier, [[Illinois Mathcounts]]<br />
* 2005 Sergei Bernstein, [[Massachusetts Mathcounts]]<br />
* 2006 Neal Wu, [[Louisiana MathCounts]]<br />
* 2008 Bobby Shen, [[Texas MathCounts]]<br />
* 2009 David Yang, [[California MathCounts]]<br />
<br />
== Most Improved Team ==<br />
* 2005 [[Oklahoma MathCounts]]<br />
* 2006 [[South Carolina MathCounts]]<br />
* 2009 [[New Mexico MathCounts]]<br />
<br />
== Spirit Stick Winners ==<br />
* 2005 [[New Hampshire MathCounts]]<br />
* 2006 [[Wyoming MathCounts]]<br />
* 2008 [[New York MathCounts]]<br />
* 2009 [[Virgin Islands MathCounts]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=MathCounts_historical_results&diff=32415MathCounts historical results2009-07-18T23:23:35Z<p>Gauss1181: /* National Team Champions */</p>
<hr />
<div>This is the '''MathCounts historical results''' page. Post [[MathCounts]] statistics and lists of high scorers here so that the MathCounts page doesn't get cluttered.<br />
<br />
<br />
== National Team Champions ==<br />
* 1984: [[Virginia MathCounts]]<br />
* 1985: [[Florida MathCounts]]<br />
* 1986: [[California MathCounts]]<br />
* 1987: [[New York MathCounts]]<br />
* 1988: [[New York MathCounts]]<br />
* 1989: [[North Carolina MathCounts]]<br />
* 1990: [[Ohio MathCounts]]<br />
* 1991: [[Alabama MathCounts]]<br />
* 1992: [[California MathCounts]]<br />
* 1993: [[Kansas MathCounts]]<br />
* 1994: [[Pennsylvania MathCounts]]<br />
* 1995: [[Indiana MathCounts]]<br />
* 1996: [[Pennsylvania MathCounts]]<br />
* 1997: [[Massachusetts MathCounts]]<br />
* 1998: [[Wisconsin MathCounts]]<br />
* 1999: [[Massachusetts MathCounts]]<br />
* 2000: [[California MathCounts]]<br />
* 2001: [[Virginia MathCounts]]<br />
* 2002: [[California MathCounts]]<br />
* 2003: [[California MathCounts]]<br />
* 2004: [[Illinois Mathcounts]]<br />
* 2005: [[Texas MathCounts]]<br />
* 2006: [[Virginia MathCounts]]<br />
* 2007: [[Texas MathCounts]]<br />
* 2008: [[Texas MathCounts]]<br />
* 2009: [[Texas MathCounts]]<br />
<br />
== Countdown Round Champions ==<br />
The champions of the Count Down Round are considered the individual national champions of MathCounts.<br />
* 1984: Michael Edwards, [[Texas MathCounts]]<br />
* 1985: Timothy Kokesh, [[Oklahoma MathCounts]]<br />
* 1986: Brian David Ewald, [[Florida MathCounts]]<br />
* 1987: Russell Mann, [[Tennessee MathCounts]]<br />
* 1988: Andrew Schultz, [[Illinois MathCounts]]<br />
* 1989: Albert Kurz, [[Pennsylvania MathCounts]]<br />
* 1990: Brian Jenkins, [[Arkansas MathCounts]]<br />
* 1991: Jonathan L. Weinstein, [[Massachusetts MathCounts]]<br />
* 1992: Andrei C. Gnepp, [[Ohio MathCounts]]<br />
* 1993: Carleton Bosley, [[Kansas MathCounts]]<br />
* 1994: William O. Engel, [[Illinois MathCounts]]<br />
* 1995: Richard Reifsnyder, [[Kentucky MathCounts]]<br />
* 1996: Alexander Schwartz, [[Pennsylvania MathCounts]]<br />
* 1997: Zhihao (Howard) Liu, [[Wisconsin MathCounts]]<br />
* 1998: Ricky Liu, [[Massachusetts MathCounts]]<br />
* 1999: Po-Ru Loh, [[Wisconsin MathCounts]]<br />
* 2000: Ruozhou (Joe) Jia, [[Illinois MathCounts]]<br />
* 2001: Ryan Ko, [[New Jersey MathCounts]]<br />
* 2002: Albert Ni, [[Illinois MathCounts]]<br />
* 2003: Adam Hesterberg, [[Washington MathCounts]]<br />
* 2004: Gregory Gauthier, [[Illinois MathCounts]]<br />
* 2005: Neal Wu, [[Louisiana MathCounts]]<br />
* 2006: Daesun Yim, [[New Jersey MathCounts]]<br />
* 2007: Kevin Chen, [[Texas Mathcounts]]<br />
* 2008: Darryl Wu, [[Washington MathCounts]]<br />
* 2009: Bobby Shen, [[Texas MathCounts]]<br />
<br />
== Masters Round Winners ==<br />
* 1990 Brian Jenkins, [[Arkansas MathCounts]]<br />
* 1991 Chris Chang, [[New Jersey MathCounts]]<br />
* 1999 Po-Ru Loh, [[Wisconsin MathCounts]]<br />
* 2000 Tiankai Liu, [[California MathCounts]]<br />
* 2001 Po-Ling Loh, [[Wisconsin MathCounts]]<br />
* 2002 Jason Trigg, [[Pennsylvania MathCounts]]<br />
* 2003 Brian Lawrence, [[Maryland MathCounts]]<br />
* 2004 Gregory Gauthier, [[Illinois MathCounts]]<br />
* 2005 Sergei Bernstein, [[Massachusetts MathCounts]]<br />
* 2006 Daniel Li, [[Virginia MathCounts]]<br />
* 2008 Bobby Shen, [[Texas MathCounts]]<br />
* 2009 Maximilian Schindler, [[Missouri Mathcounts]]<br />
<br />
== Written Test Champions ==<br />
* 1989 Lenny Ng, [[North Carolina MathCounts]]<br />
* 1990 Mathew Crawford ([[Alabama MathCounts]]), Daniel Schepler ([[Ohio MathCounts]]), Ravi Shanmugan ([[Kansas MathCounts]])<br />
* 1991 Jonathan L. Weinstein, [[Massachusetts MathCounts]]<br />
* 1999 Po-Ru Loh, [[Wisconsin MathCounts]]<br />
* 2000 Tiankai Liu, [[California MathCounts]]<br />
* 2001 Ryan Ko, [[New Jersey MathCounts]]<br />
* 2002 Conner Rogers, [[Colorado MathCounts]]<br />
* 2003 Adam Heseterberg, [[Washington MathCounts]]<br />
* 2004 Gregory Gauthier, [[Illinois MathCounts]]<br />
* 2005 Sergei Bernstein, [[Massachusetts Mathcounts]]<br />
* 2006 Neal Wu, [[Louisiana MathCounts]]<br />
* 2008 Bobby Shen, [[Texas MathCounts]]<br />
* 2009 David Yang, [[California MathCounts]]<br />
<br />
== Most Improved Team ==<br />
* 2005 [[Oklahoma MathCounts]]<br />
* 2006 [[South Carolina MathCounts]]<br />
* 2009 [[New Mexico MathCounts]]<br />
<br />
== Spirit Stick Winners ==<br />
* 2005 [[New Hampshire MathCounts]]<br />
* 2006 [[Wyoming MathCounts]]<br />
* 2008 [[New York MathCounts]]<br />
* 2009 [[Virgin Islands MathCounts]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:AoPS_Community_Awards&diff=32414AoPS Wiki:AoPS Community Awards2009-07-18T23:17:06Z<p>Gauss1181: /* Winners */</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 />
* John Berman (2009)<br />
* Zarathustra Brady (2006)<br />
* Robert Cordwell (2005)<br />
* Wenyu Cao (2009)<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 />
* David Bay Rush (2009)<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 />
* Wenyu Cao (2009)<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, 2009)<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 />
* Kevin Li (2009)<br />
* Patricia Li (2005)<br />
* Carl Lian (2007)<br />
* Sam Lite (2009)<br />
* Thomas Mildorf (2002) (AoPS assistant instructor)<br />
* Anupa Murali (2008)<br />
* Amrit Saxena (2009)<br />
* Maximilian Schindler (2009)<br />
* Eric Schneider (2009)<br />
* Bobby Shen (2009)<br />
* Lilly Shen (2009)<br />
* Jeffrey Shen (2008)<br />
* Kyle Stankowski (2009)<br />
* Kevin Tian (2009)<br />
* Howard Tong (2005)<br />
* Sam Trabucco (2008)<br />
* Brent Woodhouse (2006, 2007)<br />
* Lawrence Wu (2009)<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 />
* Maximilian Schindler (2009)<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 />
* 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 />
* Maximilian 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 />
* David Yang (2009)<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>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Gauss1181&diff=32413User:Gauss11812009-07-18T22:58:23Z<p>Gauss1181: Blanked the page</p>
<hr />
<div></div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=1988_AIME_Problems/Problem_14&diff=322831988 AIME Problems/Problem 142009-07-10T22:43:26Z<p>Gauss1181: /* Solution */</p>
<hr />
<div>== Problem ==<br />
Let <math>C</math> be the [[graph]] of <math>xy = 1</math>, and denote by <math>C^*</math> the [[reflection]] of <math>C</math> in the line <math>y = 2x</math>. Let the [[equation]] of <math>C^*</math> be written in the form<br />
<br />
<cmath>12x^2 + bxy + cy^2 + d = 0.</cmath><br />
<br />
Find the product <math>bc</math>.<br />
<br />
== Solution ==<br />
Given a point <math>P (x,y)</math> on <math>C</math>, we look to find a formula for <math>P' (x', y')</math> on <math>C^*</math>. Both points lie on a line that is [[perpendicular]] to <math>y=2x</math>, so the slope of <math>\overline{PP'}</math> is <math>\frac{-1}{2}</math>. Thus <math>\frac{y' - y}{x' - x} = \frac{-1}{2} \Longrightarrow x' + 2y' = x + 2y</math>. Also, the midpoint of <math>\overline{PP'}</math>, <math>\left(\frac{x + x'}{2}, \frac{y + y'}{2}\right)</math>, lies on the line <math>y = 2x</math>. Therefore <math>\frac{y + y'}{2} = x + x' \Longrightarrow 2x' - y' = y - 2x</math>.<br />
<br />
Solving these two equations, we find <math>x' = \frac{-3x + 4y}{5}</math> and <math>y' = \frac{4x + 3y}{5}</math>. Substituting these points into the equation of <math>C</math>, we get <math>\frac{(-3x+4y)(4x+3y)}{25}=1</math>, which when expanded becomes <math>12x^2-7xy-12y^2+25=0</math>.<br />
<br />
Thus, <math>bc=(-7)(-12)=\boxed{084}</math>.<br />
<br />
== See also ==<br />
{{AIME box|year=1988|num-b=13|num-a=15}}<br />
<br />
[[Category:Intermediate Algebra Problems]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:AoPS_Community_Awards&diff=32265AoPS Wiki:AoPS Community Awards2009-07-07T23:41:09Z<p>Gauss1181: /* Perfect AMC 10 scorers */</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 />
* John Berman (2009)<br />
* Zarathustra Brady (2006)<br />
* Robert Cordwell (2005)<br />
* Wenyu Cao (2009)<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 />
* Wenyu Cao (2009)<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, 2009)<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 />
* Kevin Li (2009)<br />
* Patricia Li (2005)<br />
* Carl Lian (2007)<br />
* Sam Lite (2009)<br />
* Thomas Mildorf (2002) (AoPS assistant instructor)<br />
* Anupa Murali (2008)<br />
* Amrit Saxena (2009)<br />
* Maximilian Schindler (2009)<br />
* Eric Schneider (2009)<br />
* Bobby Shen (2009)<br />
* Lilly Shen (2009)<br />
* Jeffrey Shen (2008)<br />
* Kyle Stankowski (2009)<br />
* Kevin Tian (2009)<br />
* Howard Tong (2005)<br />
* Sam Trabucco (2008)<br />
* Brent Woodhouse (2006, 2007)<br />
* Lawrence Wu (2009)<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 />
* Maximilian Schindler (2009)<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 />
* 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 />
* Maximilian 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 />
* David Yang (2009)<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>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Gauss1181&diff=32264User:Gauss11812009-07-07T22:52:31Z<p>Gauss1181: </p>
<hr />
<div>Currently writing AIME solutions for problems that I missed.<br />
2010 Goals: Get a decent USAMO score, 9+ AIME</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=MATHCOUNTS&diff=32106MATHCOUNTS2009-06-10T16:03:02Z<p>Gauss1181: /* Rewards */</p>
<hr />
<div>'''MATHCOUNTS''' is a large national [[mathematics competition]] and [[mathematics coaching]] program that has served millions of middle school students since 1984. Sponsored by the [[CNA Foundation]], [[National Society of Professional Engineers]], the [[National Council of Teachers of Mathematics]], and others, the focus of MATHCOUNTS is on [[mathematical problem solving]]. Students are eligible for up to three years, but cannot compete beyond their eighth grade year.<br />
<br />
== MATHCOUNTS Curriculum ==<br />
MATHCOUNTS curriculum includes [[arithmetic]], [[algebra]], [[counting]], [[geometry]], [[number theory]], [[probability]], and [[statistics]]. The focus of MATHCOUNTS curriculum is in developing [[mathematical problem solving]] skills.<br />
<br />
Before 1990, MATHCOUNTS chose particular areas of mathematics to highlight each year before changing the focus of the competition more broadly to problem solving.<br />
<br />
==Past Winners==<br />
* 1984: Michael Edwards, Texas<br />
* 1985: Timothy Kokesh, Oklahoma<br />
* 1986: Brian David Ewald, Florida<br />
* 1987: Russell Mann, Tennessee<br />
* 1988: Andrew Schultz, Illinois<br />
* 1989: Albert Kurz, Pennsylvania<br />
* 1990: Brian Jenkins, Arkansas<br />
* 1991: Jonathan L. Weinstein, Massachusetts<br />
* 1992: Andrei C. Gnepp, Ohio<br />
* 1993: Carleton Bosley, Kansas<br />
* 1994: William O. Engel, Illinois<br />
* 1995: Richard Reifsnyder, Kentucky<br />
* 1996: Alexander Schwartz, Pennsylvania<br />
* 1997: Zhihao Liu, Wisconsin<br />
* 1998: Ricky Liu, Massachusetts<br />
* 1999: Po-Ru Loh, Wisconsin<br />
* 2000: Ruozhou Jia, Illinois<br />
* 2001: Ryan Ko, New Jersey<br />
* 2002: Albert Ni, Illinois<br />
* 2003: Adam Hesterberg, Washington<br />
* 2004: Gregory Gauthier, Illinois<br />
* 2005: Neal Wu, Louisiana (Neal is a user on AoPS under the username [[User:nebula42|nebula42]])<br />
* 2006: Daesun Yim, New Jersey (Daesun is a user on AoPS under the usernames [[User:Treething|Treething]] and [[User:Lazarus|Lazarus]])<br />
* 2007: Kevin Chen, Texas (Kevin is a user on AoPS under the username [[User:binonunquineist|binonunquineist]])<br />
* 2008: Darryl Wu, Washington (youngest winner ever, at 11, as well as the first 6th grader to ever even make the National Countdown Round)<br />
* 2009: Bobby Shen, Texas (Bobby is a user on AoPS under the username [[User:stevenmeow|stevenmeow]])<br />
<br />
== MATHCOUNTS Competition Structure ==<br />
<br />
=== Sprint Round ===<br />
<br />
30 problems in 40 minutes. This round is generally made up questions ranging from relatively easy to relatively difficult. Some of the difficult problems are only difficult because calculators are not allowed in this round.<br />
<br />
=== Target Round ===<br />
8 problems given 2 at a time. Each set of two problems is given six minutes. Students may not go back to previous rounds even if they finish before time is called. Students may use calculators.<br />
<br />
=== Team Round ===<br />
<br />
10 problems in 20 minutes for a team of 4 students. These problems typically include some of the most difficult problems of the competition. Use of a calculator is allowed (and required for some questions).<br />
<br />
=== Countdown Round ===<br />
High scoring individuals compete head-to-head until a champion is crowned. People compete from off a screen taking 45 seconds or less to finish the problem. The Countdown round is run differently in various different chapter, state, and national competitions. In the national competitions, it is the round that determines the champion.<br />
<br />
<br />
=== Ciphering Round ===<br />
In some states, (most notably Florida) there is an optional ciphering round. Very similar to countdown (in both difficulty and layout), a team sends up a representative to go against all representatives from the other teams. A problem is shown on a screen and students work fast to answer the problem. The students give their answer and after 45 seconds the answer is shown and the answers are checked to see if they are right. The fastest correct answer gets five points, the next fastest gets 4, etc. There are 4 questions per individual and teams send up 4 people. A perfect score is then 80. Often times the questions take clever reading skills. For example, one question was "How much dirt is in a 3 ft by 3 ft by 4 ft hole?" The answer was 0 because there is no dirt in a hole.<br />
<br />
====Chapter and State Competitions====<br />
<br />
In the chapter and state competitions, the countdown round is not mandatory. However, if it is deemed official by the chapter or state, the following format must be used:<br />
<br />
*The 10th place written finisher competes against the 9th place written finisher. A problem is displayed, and both competitors have 45 seconds to answer the question, and the first competitor to correctly answer the question receives one point. The person who gets the most correct out of three questions (not necessarily two out of three) is the winner.<br />
<br />
*The winner of the first round goes up against the 8th place finisher.<br />
<br />
*The winner of the second round goes up against the 7th place finisher.<br />
<br />
This process is continued until the countdown round reaches the top four written competitors. Starting then, the first person to get three question correct wins (as opposed to the best-out-of-three rule).<br />
<br />
If the countdown round is unofficial, any format may be used. Single-elimination bracket-style tournaments are common.<br />
<br />
====National Competition====<br />
<br />
At the national competition, there are some structural changes to the countdown round. The top 12 (not the top 10) written finishers make it to the countdown round, and the format is changed from a ladder competition to a single elimination tournament where the top four written competitors get a bye. This setup makes it far more likely for a 12th place finisher to become champion, and it makes it less likely for a first place written finisher to become champion, equalizing the field.<br />
<br />
At the first round and the second round, the first person to correctly answer three questions wins. However, at the semifinals, the rules slightly change&mdash;the first person to correctly answer four questions wins.<br />
<br />
=== Masters Round ===<br />
Top students give in-depth explanations to challenging problems. This round is optional at the state level competition and is mandatory at the national competition. At nationals the top two on the written and countdown participate.<br />
<br />
=== Scoring and Ranking ===<br />
An individual's score is their total number of correct sprint round answers plus 2 times their total number of correct target round answers. This total is out of a maximum of 30 + 2(8) = 46 points.<br />
<br />
A team's score is the average of the individual scores of its four members plus 2 points for every correct team round answer, making a team's maximum possible score 66 points. Therefore, it is possible to win with a relatively low team score and a phenomenal individual score, as the team score is only roughly 30% of the total team score.<br />
<br />
== MATHCOUNTS Competition Levels ==<br />
=== School Competition ===<br />
Students vie for the chance to make their school teams. Problems at this level require the least depth of curriculum.<br />
<br />
=== Chapter Competition ===<br />
Chapter competitions serve as a selection filter for state competitions. A few states don't need to host chapter competitions due to a small population size. In California, this is the most difficult round.<br />
<br />
=== State Competition ===<br />
The top 4 students in each state form the state team for the national competition. The coach of the top school team at the state level is invited to coach the state team at the national competition. Interestingly, the coach of a state team is not necessarily the coach of any of the state's team members.<br />
<br />
=== National Competition ===<br />
==== Nation Competition Sites ====<br />
For many years, the National MATHCOUNTS competition was held in Washington, D.C. More recently, the competition has changed venues often.<br />
<br />
* The 2009 competition was held in Orlando, Florida.<br />
* The 2008 competition was held in Denver, Colorado.<br />
* The 2007 competition was held in Fort Worth, Texas.<br />
* The 2006 competition was held in Arlington, Virginia.<br />
* The 2005 competition was held in Detroit, Michigan.<br />
* The 2004 competition was held in Washington, D.C.<br />
* The 2002 and 2003 competitions were held in Chicago, Illinois.<br />
<br />
==== Rewards ====<br />
<br />
Every competitor at the national competition receives a graphing calculator that varies by year - for example, in 2006 it was a TI-84 Plus Silver Edition with the MATHCOUNTS logo on the back. In 2007, MATHCOUNTS took the logo off. In 2008 and 2009, they gave TI-<math>n</math>spires to everyone. They also give out a laptop and an 8000 dollar scholarship to the winner.<br />
<br />
== MATHCOUNTS Resources ==<br />
=== MATHCOUNTS Books ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php MATHCOUNTS books] at the [http://www.artofproblemsolving.com/Books/AoPS_B_About.php AoPS Bookstore]<br />
* [[Art of Problem Solving]]'s [http://www.artofproblemsolving.com/Books/AoPS_B_Rec_Middle.php Introductory subject textbooks] are ideal for students preparing for MATHCOUNTS.<br />
<br />
=== MATHCOUNTS Classes ===<br />
* [[Art of Problem Solving]] hosts [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesP.php#mc MATHCOUNTS preparation classes].<br />
* [[Art of Problem Solving]] hosts many free MATHCOUNTS [[Math Jams]]. [http://www.artofproblemsolving.com/Community/AoPS_Y_Math_Jams.php Math Jam Schedule]. [http://www.artofproblemsolving.com/Community/AoPS_Y_MJ_Transcripts.php Math Jam Transcript Archive].<br />
<br />
=== MATHCOUNTS Online ===<br />
* [http://www.mathcounts.org MATHCOUNTS Homepage]<br />
* [[Art of Problem Solving]] hosts a large [http://www.artofproblemsolving.com/Forum/index.php?f=132 MATHCOUNTS Forum] as well as a private [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23209 MATHCOUNTS Coaches Forum].<br />
* [http://mathcounts.saab.org/ Elias Saab's MATHCOUNTS Preparation Homepage]<br />
* [http://www.unidata.ucar.edu/staff/russ/mathcounts/diaz.html The MATHCOUNTS Bible According to Mr. Diaz]<br />
*[http://www.artofproblemsolving.com/Resources/AoPS_R_A_MATHCOUNTS.php/ Building a Successful MATHCOUNTS Program] by [[Jeff Boyd]], who coached the 2005, 2007, and 2008 National Champion [[Texas MathCounts]] team.<br />
<br />
== What comes after MATHCOUNTS? ==<br />
<br />
Give the following competitions a try and take a look at the [[List of United States high school mathematics competitions]].<br />
* [[American Mathematics Competitions]]<br />
* [[American Regions Math League]]<br />
* [[Mandelbrot Competition]]<br />
* [[Mu Alpha Theta]]<br />
<br />
[[Category:Mathematics competitions]]<br />
<br />
== See also ==<br />
* [[List of national MATHCOUNTS teams]]<br />
* [[MATHCOUNTS historical results]]<br />
* [[Mathematics competition resources]]<br />
* [[Math contest books]]<br />
* [[Math books]]<br />
* [[List of United States middle school mathematics competitions]]<br />
* [[List of United States high school mathematics competitions]]<br />
* [http://www.mathcounts.org/webarticles/anmviewer.asp?a=921&z=71 2006 MATHCOUNTS Countdown Video]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=Illinois_Mathcounts&diff=32093Illinois Mathcounts2009-06-08T00:00:18Z<p>Gauss1181: trying to unclutter the page</p>
<hr />
<div>Illinois Mathcounts is one of the state competitions held for Mathcounts. Each year the state of Illinois sends its top four scorers in the state competition held every year in March at the Holiday Inn in Matteson. Countdown is unofficial, so separate awards are rewarded for countdown winners. The state team is picked solely based on written round scores.<br />
<br />
== National Team Awards and Placement ==<br />
<br />
* 2009 15th<br />
* 2008 13th<br />
* 2006 5th<br />
* 2004 1st<br />
* 2003 4th<br />
<br />
== IL State Team Champions ==<br />
<br />
* 2009 - Kennedy Junior High School, Lisle<br />
* 2008 - Avery Coonley School, Downers Grove<br />
* 2007 - Kennedy Junior High School, Lisle<br />
* 2006 - Plum Grove Junior High School, Rolling Meadows<br />
* 2004 - Kennedy Junior High School, Lisle<br />
* 2003 - Avery Coonley School, Downers Grove<br />
<br />
== IL State Team Members and Written Place (CD place if unknown) ==<br />
<br />
* 2009- Megan Chen (20th), Patrick Liscio, James Tao, David Wang, Coaches: Krish Revuluri (subbed for Suzanne Croco), Marianne Schultz (assistant coach), Ana Kamath (assistant coach).<br />
<br />
* 2008- Joshua Dement (15th), Adam Kalinich (48th), Ravi Jagadeesan (53rd), John Park, Coach: Kris Laska<br />
<br />
* 2007 - Kevin Hu, Peter Bang, Zachary Levine, Margaret Coad, Coach: Suzanne Croco<br />
<br />
* 2006 - Arjun Puranik (12th), Evangelie Zachos (?th but in top 57), Katherine Rudolph, Christopher Adams, Coach: Sharon Gunnell<br />
<br />
* 2004 - Gregory Gauthier (1st), Alex Zhai (6th), Jennifer Iglesias (?th in top 57), Zach Nahlik (?th in top 57), Coach: Steven Ondes<br />
<br />
==Countdown Round==<br />
<br />
* 2006 - Arjun Puranik: P (12th)<br />
<br />
* 2004 - Gregory Gauthier (1st), Alex Zhai: P (6th)<br />
<br />
* 2003- Gregory Gauthier (7th place)<br />
<br />
==Masters Round==<br />
<br />
* 2004 - Gregory Gauthier (participated AND won, also won written and countdown altogether)<br />
<br />
==State Countdown Winners==<br />
<br />
* 2009 - Eric Lullo, Ravi Jagadeesan, Megan Chen, Thomas Wu<br />
<br />
* 2008 - Adam Kalinich, Ravi Jagadeesan, Joshua DeMent, Kyle Redden<br />
<br />
* 2007 - Peter Bang</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=2002_AMC_12B_Problems/Problem_25&diff=320852002 AMC 12B Problems/Problem 252009-06-07T19:56:08Z<p>Gauss1181: fixed some relations symbols; product is negative not positive</p>
<hr />
<div>== Problem ==<br />
Let <math>f(x) = x^2 + 6x + 1</math>, and let <math>R</math> denote the [[set]] of [[point]]s <math>(x,y)</math> in the [[coordinate plane]] such that <br />
<cmath>f(x) + f(y) \le 0 \qquad \text{and} \qquad f(x)-f(y) \le 0</cmath><br />
The area of <math>R</math> is closest to <br />
<br />
<math>\mathrm{(A)}\ 21<br />
\qquad\mathrm{(B)}\ 22<br />
\qquad\mathrm{(C)}\ 23<br />
\qquad\mathrm{(D)}\ 24<br />
\qquad\mathrm{(E)}\ 25</math><br />
== Solution ==<br />
The first condition gives us that<br />
<cmath>x^2 + 6x + 1 + y^2 + 6y + 1 \le 0 \Longrightarrow (x+3)^2 + (y+3)^2 \le 16</cmath><br />
<br />
which is a [[circle]] centered at <math>(-3,-3)</math> with [[radius]] <math>4</math>. The second condition gives us that <br />
<br />
<cmath>x^2 + 6x + 1 - y^2 - 6y - 1 \le 0 \Longrightarrow (x^2 - y^2) + 6(x-y) \le 0 \Longrightarrow (x-y)(x+y+6) \le 0</cmath><br />
<br />
Thus either<br />
<br />
<cmath>x - y \ge 0,\quad x+y+6 \le 0</cmath><br />
<br />
or<br />
<br />
<cmath>x - y \le 0,\quad x+y+6 \ge 0</cmath><br />
<br />
[[Image:2002_12B_AMC-25.png|center]]<br />
<br />
Each of those lines passes through <math>(-3,-3)</math> and has slope <math>\pm 1</math>, as shown above. Therefore, the area of <math>R</math> is half of the area of the circle, which is <math>\frac{1}{2} (\pi \cdot 4^2) = 8\pi \approx 25 \Rightarrow \mathrm{(E)}</math>.<br />
<br />
== See also ==<br />
{{AMC12 box|year=2002|ab=B|num-b=24|after=Last problem}}<br />
<br />
[[Category:Introductory Algebra Problems]]<br />
[[Category:Introductory Geometry Problems]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=Illinois_Mathcounts&diff=32071Illinois Mathcounts2009-06-06T03:07:23Z<p>Gauss1181: /* State Countdown Winners */</p>
<hr />
<div>Illinois Mathcounts is one of the state competitions held for Mathcounts. Each year the state of Illinois sends its top four scorers in the state competition held every year in March at the Holiday Inn in Matteson. Countdown is unofficial, so separate awards are rewarded for countdown winners. The state team is picked solely based on written round scores.<br />
<br />
== National Team Awards and Placement ==<br />
<br />
* 2009 15th<br />
* 2008 13th<br />
* 2006 5th<br />
* 2004 1st<br />
* 2003 4th<br />
<br />
== IL State Team Champions ==<br />
<br />
* 2009 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2008 - Avery Coonley School, Downers Grove, Coach Kris Laska<br />
* 2007 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2006 - Plum Grove Junior High School, Rolling Meadows, Coach Krish Revuluri<br />
* 2004 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2003 - Avery Coonley School, Downers Grove, Coach Kris Laska<br />
<br />
== IL State Team Members and Written Place (CD place if unknown) ==<br />
<br />
* 2009- Megan Chen (20th place, Wood Oaks Junior High School, Northbrook), Patrick Liscio (Lincoln Junior High School, Skokie), James Tao (Plum Grove Junior High School, Rolling Meadows), David Wang (Hinsdale Middle School, Hinsdale), Coaches: Krish Revuluri (Plum Grove Junior High School, Rolling Meadows)(subbed for Suzanne Croco), Marianne Schultz (assistant coach), Ana Kamath (assistant coach). Both assistant coaches were from Plum Grove Junior High School, Rolling Meadows.<br />
<br />
* 2008- Joshua Dement (15th place, Kennedy Junior High School, Lisle), Adam Kalinich (48th place, Hadley Junior High School, Glen Ellyn), Ravi Jagadeesan (53rd place, Avery Coonley School, Downers Grove), John Park (Woodlawn Middle School, Long Grove), Coach: Kris Laska (Avery Coonley School, Downers Grove)<br />
<br />
* 2007 - Kevin Hu (Kennedy Junior High School, Lisle), Peter Bang (Marie Murphy School, Wilmette), Zachary Levine (Quest Academy, Palatine), Margaret Coad (Choice Home School, Park Ridge), Coach: Suzanne Croco (Kennedy Junior High School, Lisle)<br />
<br />
* 2006 - Arjun Puranik (12th place, Plum Grove Junior High School, Rolling Meadows), Evangelie Zachos (???th place, Percy Julian Middle School, Oak Park), Katherine Rudolph (Kennedy Junior High School, Lisle), Christopher Adams (East Prairie Junior High, Tuscola), Coach: Sharon Gunnell (Percy Julian Middle School, Oak Park)<br />
<br />
* 2004 - Gregory Gauthier (1st place, Wheaton), Alex Zhai (6th place, University Laboratory High School, Urbana/Champaign), Jennifer Iglesias (Jefferson Middle School, Aurora) , Zach Nahlik (Liberty Middle School, Glen Carbon), Coach: (Steven Ondes, Liberty Middle School, Staunton)<br />
<br />
==Countdown Round==<br />
<br />
* 2006 - Arjun Puranik: P (12th place, Plum Grove Junior High School, Rolling Meadows)<br />
<br />
* 2004 - Gregory Gauthier (1st place, Wheaton), Alex Zhai: P (6th place, University Laboratory High School, Urbana/Champaign)<br />
<br />
* 2003- Gregory Gauthier (7th place)<br />
<br />
==Masters Round==<br />
<br />
* 2004 - Gregory Gauthier (participated AND won, also won written and countdown altogether)<br />
<br />
==State Countdown Winners==<br />
<br />
* 2009 - Eric Lullo, Kennedy Junior High School, Lisle<br />
2nd place - Ravi Jagadeesan, Avery Coonley School, Downers Grove<br />
3rd place - Megan Chen, Wood Oaks Junior High School, Northbrook<br />
* 2008 - Adam Kalinich, Hadley Junior High School, Glen Ellyn<br />
2nd place - Ravi Jagadeesan, Avery Coonley School, Downers Grove<br />
3rd place - Joshua DeMent, Kennedy Junior High School, Lisle<br />
* 2007 - Peter Bang, Marie Murphy School, Wilmette</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=Illinois_Mathcounts&diff=32070Illinois Mathcounts2009-06-06T03:06:49Z<p>Gauss1181: /* IL State Team Members and Written Place (CD place if unknown) */</p>
<hr />
<div>Illinois Mathcounts is one of the state competitions held for Mathcounts. Each year the state of Illinois sends its top four scorers in the state competition held every year in March at the Holiday Inn in Matteson. Countdown is unofficial, so separate awards are rewarded for countdown winners. The state team is picked solely based on written round scores.<br />
<br />
== National Team Awards and Placement ==<br />
<br />
* 2009 15th<br />
* 2008 13th<br />
* 2006 5th<br />
* 2004 1st<br />
* 2003 4th<br />
<br />
== IL State Team Champions ==<br />
<br />
* 2009 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2008 - Avery Coonley School, Downers Grove, Coach Kris Laska<br />
* 2007 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2006 - Plum Grove Junior High School, Rolling Meadows, Coach Krish Revuluri<br />
* 2004 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2003 - Avery Coonley School, Downers Grove, Coach Kris Laska<br />
<br />
== IL State Team Members and Written Place (CD place if unknown) ==<br />
<br />
* 2009- Megan Chen (20th place, Wood Oaks Junior High School, Northbrook), Patrick Liscio (Lincoln Junior High School, Skokie), James Tao (Plum Grove Junior High School, Rolling Meadows), David Wang (Hinsdale Middle School, Hinsdale), Coaches: Krish Revuluri (Plum Grove Junior High School, Rolling Meadows)(subbed for Suzanne Croco), Marianne Schultz (assistant coach), Ana Kamath (assistant coach). Both assistant coaches were from Plum Grove Junior High School, Rolling Meadows.<br />
<br />
* 2008- Joshua Dement (15th place, Kennedy Junior High School, Lisle), Adam Kalinich (48th place, Hadley Junior High School, Glen Ellyn), Ravi Jagadeesan (53rd place, Avery Coonley School, Downers Grove), John Park (Woodlawn Middle School, Long Grove), Coach: Kris Laska (Avery Coonley School, Downers Grove)<br />
<br />
* 2007 - Kevin Hu (Kennedy Junior High School, Lisle), Peter Bang (Marie Murphy School, Wilmette), Zachary Levine (Quest Academy, Palatine), Margaret Coad (Choice Home School, Park Ridge), Coach: Suzanne Croco (Kennedy Junior High School, Lisle)<br />
<br />
* 2006 - Arjun Puranik (12th place, Plum Grove Junior High School, Rolling Meadows), Evangelie Zachos (???th place, Percy Julian Middle School, Oak Park), Katherine Rudolph (Kennedy Junior High School, Lisle), Christopher Adams (East Prairie Junior High, Tuscola), Coach: Sharon Gunnell (Percy Julian Middle School, Oak Park)<br />
<br />
* 2004 - Gregory Gauthier (1st place, Wheaton), Alex Zhai (6th place, University Laboratory High School, Urbana/Champaign), Jennifer Iglesias (Jefferson Middle School, Aurora) , Zach Nahlik (Liberty Middle School, Glen Carbon), Coach: (Steven Ondes, Liberty Middle School, Staunton)<br />
<br />
==Countdown Round==<br />
<br />
* 2006 - Arjun Puranik: P (12th place, Plum Grove Junior High School, Rolling Meadows)<br />
<br />
* 2004 - Gregory Gauthier (1st place, Wheaton), Alex Zhai: P (6th place, University Laboratory High School, Urbana/Champaign)<br />
<br />
* 2003- Gregory Gauthier (7th place)<br />
<br />
==Masters Round==<br />
<br />
* 2004 - Gregory Gauthier (participated AND won, also won written and countdown altogether)<br />
<br />
==State Countdown Winners==<br />
<br />
* 2009 - Eric Lullo, Kennedy Junior High School, Lisle<br />
2nd place - Ravi Jagadeesan, Avery Coonley School, Downers Grove<br />
3rd place - Megan Chen, Wood Oaks Junior High School, Northbrook<br />
* 2008 - Adam Kalinich, Hadley Junior High School, Glen Ellyn<br />
2nd place - Ravi Jagadeesan, Avery Coonley School, Downers Grove<br />
3rd place - Joshua DeMent, Kennedy Junior High School, Lisle<br />
* 2007 - Peter Bang, Marie Murphy School, ???</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=Illinois_Mathcounts&diff=31957Illinois Mathcounts2009-05-31T20:35:39Z<p>Gauss1181: New page: Illinois Mathcounts is one of the state competitions held for Mathcounts. Each year the state of Illinois sends its top four scorers in the state competition held every year in March at th...</p>
<hr />
<div>Illinois Mathcounts is one of the state competitions held for Mathcounts. Each year the state of Illinois sends its top four scorers in the state competition held every year in March at the Holiday Inn in Matteson. Countdown is unofficial, so separate awards are rewarded for countdown winners. The state team is picked solely based on written round scores.<br />
<br />
== National Team Awards and Placement ==<br />
<br />
* 2009 15th<br />
* 2008 13th<br />
* 2006 5th<br />
* 2004 1st<br />
<br />
== IL State Team Champions ==<br />
<br />
* 2009 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2008 - Avery Coonley School, Downers Grove, Coach Kris Laska<br />
* 2007 - Kennedy Junior High School, Lisle, Coach Suzanne Croco<br />
* 2006 - Plum Grove Junior High School, Rolling Meadows, Coach Krish Revuluri (?)<br />
<br />
== IL State Team Members and Written Place (CD place if unknown) ==<br />
<br />
* 2009- Megan Chen (20th place, Wood Oaks Junior High School, Northbrook), Patrick Liscio (Lincoln Junior High School, Skokie), James Tao (Plum Grove Junior High School, Rolling Meadows), David Wang (Hinsdale Middle School, Hinsdale), Coaches: Krish Revuluri (Plum Grove Junior High School, Rolling Meadows)(subbed for Suzanne Croco), Marianne Schultz (assistant coach), Ana Kamath (assistant coach). Both assistant coaches were from Plum Grove Junior High School, Rolling Meadows.<br />
<br />
* 2008- Joshua Dement (15th place, Kennedy Junior High School, Lisle), Adam Kalinich (48th place, Hadley Junior High School, Glen Ellyn), Ravi Jagadeesan (53rd place, Avery Coonley School, Downers Grove), John Park (Woodlawn Middle School, ???), Coach: Kris Laska (Avery Coonley School, Downers Grove)<br />
<br />
* 2007 - Kevin Hu (Kennedy Junior High School, Lisle), Peter Bang (Marie Murphy School, ???), Zachary Levine (Quest Academy, Palatine), Margaret Coad (Choice Home School, ???), Coach: Suzanne Croco (Kennedy Junior High School, Lisle)<br />
<br />
* 2006 - Arjun Puranik (12th place, Plum Grove Junior High School, Rolling Meadows), Evangelie Zachos (???th place, ??? school, ???), Katherine Rudolph (Kennedy Junior High School, Lisle), ???, Coach: Krish Revuluri (?)<br />
<br />
* 2004 - Gregory Gauthier (1st place, Wheaton), Alex Zhai (6th place, University Laboratory High School, Urbana/Champaign), ???, ???, Coach: (whoever Gauthier's coach is)<br />
<br />
==Countdown Round==<br />
<br />
* 2006 - Arjun Puranik: P (12th place, Plum Grove Junior High School, Rolling Meadows)<br />
<br />
* 2004 - Gregory Gauthier (1st place, Wheaton), Alex Zhai: P (6th place, University Laboratory High School, Urbana/Champaign)<br />
<br />
==Masters Round==<br />
<br />
* 2004 - Gregory Gauthier (participated AND won, also won written and countdown altogether)<br />
<br />
==State Countdown Winners==<br />
<br />
* 2009 - Eric Lullo, Kennedy Junior High School, Lisle<br />
* 2008 - Adam Kalinich, Hadley Junior High School, Glen Ellyn<br />
* 2007 - Peter Bang, Marie Murphy School, ???</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_mili&diff=31939User:Suma mili2009-05-30T20:05:28Z<p>Gauss1181: </p>
<hr />
<div>HAHAH GAUSS FAILS FELL FOR MY DAVID YANG PRANK LOLOLOLOLOLOLOLOL<br />
<br />
<br />
<br />
gauss1181 says: huh what lol im not a suma_milli clone xD</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_milli&diff=31936User:Suma milli2009-05-30T20:02:57Z<p>Gauss1181: </p>
<hr />
<div>Hi I'm suma_milli and I basically have no idea how to create a wiki page. My hobbies include math, tennis, hanging out with friends, soccer, go, guassy...<br />
<br />
<br />
<br />
Accomplishments:<br />
<br />
(Nothing great)<br />
<br />
-Got a mathcounts team started at my school this year<br />
<br />
-We placed 3rd at chapter<br />
<br />
-I got 60-somthing at state. (HORRIBLE)<br />
<br />
Er.. ok there's nothing interesting about me.<br />
<br />
If you want to contact me just pm me. ^^<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
@from guass: hi :D</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Gauss1181&diff=31935User:Gauss11812009-05-30T20:01:32Z<p>Gauss1181: oh darn calvin you wrecked my page</p>
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<div>CALVIN VANDALIZED MY WIKI PAGE</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_mili&diff=31873User:Suma mili2009-05-25T23:35:30Z<p>Gauss1181: </p>
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<div>I lost. Recent mathematical fails:<br />
<br />
Mathcounts Nats 20th place (1 point short of CD :()<br />
Mathcounts State 2nd place (1 point short of 1st place :()<br />
Mathcounts Chapter 3rd place (tied for first, but after tiebreakers, dead >.<)<br />
AMC 10A 129<br />
AIME 6 (FOUR STUPID MISTAKES DANNNNNGGG)<br />
USAMTS 55 (I WANTED A 60 BUT C&P PROBLEMS KILL ME!!!)<br />
<br />
I failed almost all of my goals in 8th grade. =(<br />
<br />
My goals: (Hopefully I should not fail more than half of my goals)<br />
<br />
AMC 10: Beat or tie bobby shen<br />
AMC 12: Beat or tie at least one of the MO big three (max, victor, runpeng), the IL Beasts (arjun, alina, ravi, kevin, kate) or Alan's Big Quad (alan, siddhant, peter, ray)<br />
Math Prize for Girls: Win something (money or a trophy or a medal or a plaque)<br />
ARML: Make Chicago A<br />
USAMTS: Upper bronze or lower silver<br />
AIME: 9+<br />
USAMO: Qualify for it, positive score</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_milli&diff=31847User:Suma milli2009-05-25T03:31:39Z<p>Gauss1181: copied your interests from your profile</p>
<hr />
<div>Hi I'm suma_milli and I basically have no idea how to create a wiki page. My hobbies include math, tennis, hanging out with friends, soccer, go, guassy...<br />
<br />
<br />
<br />
Accomplishments:<br />
<br />
(Nothing great)<br />
<br />
-Got a mathcounts team started at my school this year<br />
<br />
-We placed 3rd at chapter<br />
<br />
-I got 60-somthing at state. (HORRIBLE)<br />
<br />
Er.. ok there's nothing interesting about me.<br />
<br />
If you want to contact me just pm me. ^^</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=MATHCOUNTS&diff=31700MATHCOUNTS2009-05-17T15:30:12Z<p>Gauss1181: /* Past Winners */</p>
<hr />
<div>'''MATHCOUNTS''' is a large national [[mathematics competition]] and [[mathematics coaching]] program that has served millions of middle school students since 1984. Sponsored by the [[CNA Foundation]], [[National Society of Professional Engineers]], the [[National Council of Teachers of Mathematics]], and others, the focus of MATHCOUNTS is on [[mathematical problem solving]]. Students are eligible for up to three years, but cannot compete beyond their eighth grade year.<br />
<br />
== MATHCOUNTS Curriculum ==<br />
MATHCOUNTS curriculum includes [[arithmetic]], [[algebra]], [[counting]], [[geometry]], [[number theory]], [[probability]], and [[statistics]]. The focus of MATHCOUNTS curriculum is in developing [[mathematical problem solving]] skills.<br />
<br />
Before 1990, MATHCOUNTS chose particular areas of mathematics to highlight each year before changing the focus of the competition more broadly to problem solving.<br />
<br />
==Past Winners==<br />
* 1984: Michael Edwards, Texas<br />
* 1985: Timothy Kokesh, Oklahoma<br />
* 1986: Brian David Ewald, Florida<br />
* 1987: Russell Mann, Tennessee<br />
* 1988: Andrew Schultz, Illinois<br />
* 1989: Albert Kurz, Pennsylvania<br />
* 1990: Brian Jenkins, Arkansas<br />
* 1991: Jonathan L. Weinstein, Massachusetts<br />
* 1992: Andrei C. Gnepp, Ohio<br />
* 1993: Carleton Bosley, Kansas<br />
* 1994: William O. Engel, Illinois<br />
* 1995: Richard Reifsnyder, Kentucky<br />
* 1996: Alexander Schwartz, Pennsylvania<br />
* 1997: Zhihao Liu, Wisconsin<br />
* 1998: Ricky Liu, Massachusetts<br />
* 1999: Po-Ru Loh, Wisconsin<br />
* 2000: Ruozhou Jia, Illinois<br />
* 2001: Ryan Ko, New Jersey<br />
* 2002: Albert Ni, Illinois<br />
* 2003: Adam Hesterberg, Washington<br />
* 2004: Gregory Gauthier, Illinois<br />
* 2005: Neal Wu, Louisiana (Neal is a user on AoPS under the username [[User:nebula42|nebula42]])<br />
* 2006: Daesun Yim, New Jersey (Daesun is a user on AoPS under the usernames [[User:Treething|Treething]] and [[User:Lazarus|Lazarus]])<br />
* 2007: Kevin Chen, Texas (Kevin is a user on AoPS under the username [[User:binonunquineist|binonunquineist]])<br />
* 2008: Darryl Wu, Washington (youngest winner ever, at 11, as well as the first 6th grader to ever even make the National Countdown Round)<br />
* 2009: Bobby Shen, Texas (Bobby is a user on AoPS under the username [[User:stevenmeow|stevenmeow]])<br />
<br />
== MATHCOUNTS Competition Structure ==<br />
<br />
=== Sprint Round ===<br />
<br />
30 problems in 40 minutes. This round is generally made up questions ranging from relatively easy to relatively difficult. Some of the difficult problems are only difficult because calculators are not allowed in this round.<br />
<br />
=== Target Round ===<br />
8 problems given 2 at a time. Each set of two problems is given six minutes. Students may not go back to previous rounds even if they finish before time is called. Students may use calculators.<br />
<br />
=== Team Round ===<br />
<br />
10 problems in 20 minutes for a team of 4 students. These problems typically include some of the most difficult problems of the competition. Use of a calculator is allowed (and required for some questions).<br />
<br />
=== Countdown Round ===<br />
High scoring individuals compete head-to-head until a champion is crowned. People compete from off a screen taking 45 seconds or less to finish the problem. The Countdown round is run differently in various different chapter, state, and national competitions. In the national competitions, it is the round that determines the champion.<br />
<br />
<br />
=== Ciphering Round ===<br />
In some states, (most notably Florida) there is an optional ciphering round. Very similar to countdown (in both difficulty and layout), a team sends up a representative to go against all representatives from the other teams. A problem is shown on a screen and students work fast to answer the problem. The students give their answer and after 45 seconds the answer is shown and the answers are checked to see if they are right. The fastest correct answer gets five points, the next fastest gets 4, etc. There are 4 questions per individual and teams send up 4 people. A perfect score is then 80. Often times the questions take clever reading skills. For example, one question was "How much dirt is in a 3 ft by 3 ft by 4 ft hole?" The answer was 0 because there is no dirt in a hole.<br />
<br />
====Chapter and State Competitions====<br />
<br />
In the chapter and state competitions, the countdown round is not mandatory. However, if it is deemed official by the chapter or state, the following format must be used:<br />
<br />
*The 10th place written finisher competes against the 9th place written finisher. A problem is displayed, and both competitors have 45 seconds to answer the question, and the first competitor to correctly answer the question receives one point. The person who gets the most correct out of three questions (not necessarily two out of three) is the winner.<br />
<br />
*The winner of the first round goes up against the 8th place finisher.<br />
<br />
*The winner of the second round goes up against the 7th place finisher.<br />
<br />
This process is continued until the countdown round reaches the top four written competitors. Starting then, the first person to get three question correct wins (as opposed to the best-out-of-three rule).<br />
<br />
If the countdown round is unofficial, any format may be used. Single-elimination bracket-style tournaments are common.<br />
<br />
====National Competition====<br />
<br />
At the national competition, there are some structural changes to the countdown round. The top 12 (not the top 10) written finishers make it to the countdown round, and the format is changed from a ladder competition to a single elimination tournament where the top four written competitors get a bye. This setup makes it far more likely for a 12th place finisher to become champion, and it makes it less likely for a first place written finisher to become champion, equalizing the field.<br />
<br />
At the first round and the second round, the first person to correctly answer three questions wins. However, at the semifinals, the rules slightly change&mdash;the first person to correctly answer four questions wins.<br />
<br />
=== Masters Round ===<br />
Top students give in-depth explanations to challenging problems. This round is optional at the state level competition and is mandatory at the national competition. At nationals the top two on the written and countdown participate.<br />
<br />
=== Scoring and Ranking ===<br />
An individual's score is their total number of correct sprint round answers plus 2 times their total number of correct target round answers. This total is out of a maximum of 30 + 2(8) = 46 points.<br />
<br />
A team's score is the average of the individual scores of its four members plus 2 points for every correct team round answer, making a team's maximum possible score 66 points. Therefore, it is possible to win with a relatively low team score and a phenomenal individual score, as the team score is only roughly 30% of the total team score.<br />
<br />
== MATHCOUNTS Competition Levels ==<br />
=== School Competition ===<br />
Students vie for the chance to make their school teams. Problems at this level require the least depth of curriculum.<br />
<br />
=== Chapter Competition ===<br />
Chapter competitions serve as a selection filter for state competitions. A few states don't need to host chapter competitions due to a small population size. In California, this is the most difficult round.<br />
<br />
=== State Competition ===<br />
The top 4 students in each state form the state team for the national competition. The coach of the top school team at the state level is invited to coach the state team at the national competition. Interestingly, the coach of a state team is not necessarily the coach of any of the state's team members.<br />
<br />
=== National Competition ===<br />
==== Nation Competition Sites ====<br />
For many years, the National MATHCOUNTS competition was held in Washington, D.C. More recently, the competition has changed venues often.<br />
<br />
* The 2009 competition was held in Orlando, Florida.<br />
* The 2008 competition was held in Denver, Colorado.<br />
* The 2007 competition was held in Fort Worth, Texas.<br />
* The 2006 competition was held in Arlington, Virginia.<br />
* The 2005 competition was held in Detroit, Michigan.<br />
* The 2004 competition was held in Washington, D.C.<br />
* The 2002 and 2003 competitions were held in Chicago, Illinois.<br />
<br />
==== Rewards ====<br />
<br />
Every competitor at the national competition receives a graphing calculator that varies by year - for example, in 2006 it was a TI-84 Plus Silver Edition with the MATHCOUNTS logo on the back. In 2007, MATHCOUNTS took the logo off. In 2008, they gave TI-<math>n</math>spires to everyone. They also give out a laptop and an 8000 dollar scholarship to the winner.<br />
<br />
== MATHCOUNTS Resources ==<br />
=== MATHCOUNTS Books ===<br />
* [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php MATHCOUNTS books] at the [http://www.artofproblemsolving.com/Books/AoPS_B_About.php AoPS Bookstore]<br />
* [[Art of Problem Solving]]'s [http://www.artofproblemsolving.com/Books/AoPS_B_Rec_Middle.php Introductory subject textbooks] are ideal for students preparing for MATHCOUNTS.<br />
<br />
=== MATHCOUNTS Classes ===<br />
* [[Art of Problem Solving]] hosts [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesP.php#mc MATHCOUNTS preparation classes].<br />
* [[Art of Problem Solving]] hosts many free MATHCOUNTS [[Math Jams]]. [http://www.artofproblemsolving.com/Community/AoPS_Y_Math_Jams.php Math Jam Schedule]. [http://www.artofproblemsolving.com/Community/AoPS_Y_MJ_Transcripts.php Math Jam Transcript Archive].<br />
<br />
=== MATHCOUNTS Online ===<br />
* [http://www.mathcounts.org MATHCOUNTS Homepage]<br />
* [[Art of Problem Solving]] hosts a large [http://www.artofproblemsolving.com/Forum/index.php?f=132 MATHCOUNTS Forum] as well as a private [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23209 MATHCOUNTS Coaches Forum].<br />
* [http://mathcounts.saab.org/ Elias Saab's MATHCOUNTS Preparation Homepage]<br />
* [http://www.unidata.ucar.edu/staff/russ/mathcounts/diaz.html The MATHCOUNTS Bible According to Mr. Diaz]<br />
*[http://www.artofproblemsolving.com/Resources/AoPS_R_A_MATHCOUNTS.php/ Building a Successful MATHCOUNTS Program] by [[Jeff Boyd]], who coached the 2005, 2007, and 2008 National Champion [[Texas MathCounts]] team.<br />
<br />
== What comes after MATHCOUNTS? ==<br />
<br />
Give the following competitions a try and take a look at the [[List of United States high school mathematics competitions]].<br />
* [[American Mathematics Competitions]]<br />
* [[American Regions Math League]]<br />
* [[Mandelbrot Competition]]<br />
* [[Mu Alpha Theta]]<br />
<br />
[[Category:Mathematics competitions]]<br />
<br />
== See also ==<br />
* [[List of national MATHCOUNTS teams]]<br />
* [[MATHCOUNTS historical results]]<br />
* [[Mathematics competition resources]]<br />
* [[Math contest books]]<br />
* [[Math books]]<br />
* [[List of United States middle school mathematics competitions]]<br />
* [[List of United States high school mathematics competitions]]<br />
* [http://www.mathcounts.org/webarticles/anmviewer.asp?a=921&z=71 2006 MATHCOUNTS Countdown Video]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_mili&diff=31438User:Suma mili2009-04-24T03:34:48Z<p>Gauss1181: </p>
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<div>Bleh, I've decided to use this wiki page to show how much PHAIL-er I am that anyone else.</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=Minnesota_MathCounts&diff=29949Minnesota MathCounts2009-02-07T00:18:39Z<p>Gauss1181: /* Past Winners and Schools */</p>
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<div>'''Minnesota MathCounts''' is Minnesota's division of the national [[mathematics competition]], [[MathCounts]]. It follows the standard format. There is a Countdown Round, although it does not affect the score. The Countdown Round is a single-elimination tournament involving either 12 or 16 students. In years when only 12 students compete, the four students receiving first-round byes are chosen at random so as to postpone the announcement of the top four students until the awards banquet.<br />
<br />
== Past Winners and Schools ==<br />
=== 1999 ===<br />
*1. Dan Baker (???)<br />
*2. Brad Froehle (Eden Prairie)<br />
*3. Dan Herriges (Capitol Hill Magnet)<br />
*4. John Erickson (St. Louis Park)<br />
*Coach: ??? (Captiol Hill)<br />
<br />
===2000===<br />
*1. Trent Novak (Blackduck)<br />
*2. Sophie Rappoport (Twin Cities Jewish Middle School)<br />
*3. Silas Johnson (Bloomington Hubert Olson)<br />
*4. James Berglund (Mahtomedi)<br />
*Coach: Bill Boulger (St. Paul Academy)<br />
*Countdown winner: Sam McVeety (St. Paul Academy)<br />
<br />
===2001===<br />
*1. Dan Gibson (TCJMS)<br />
*2. Silas Johnson (Bloomington Hubert Olson)<br />
*3. Patrick Miles (St. Odelia)<br />
*4. David Buchs (Homeschool)<br />
*Coaches: Diane Roers and Carol Andrus (Bloomington Hubert Olson)<br />
*Countdown winner: Silas Johnson (Olson)<br />
<br />
===2002===<br />
*1. Patrick Miles (St. Odelia)<br />
*2. ???<br />
*3. Eric Lauer-Hunt (???)<br />
*4. James Benhardus (???)<br />
*Coach: ??? (Field Middle School)<br />
<br />
===2003===<br />
*1. Richard Liu (Eden Prairie)<br />
*2. Andrew Chen (Moorhead)<br />
*3. Zach Sethna (TCJMS)<br />
*4. David Krueger (Marshall School)<br />
*Coach: Ken Welken (Moorhead)<br />
<br />
===2004===<br />
*1. Shui Hu (Irondale)<br />
*2. Jack O'Reilly (Benilde/St. Margaret's)<br />
*3. Nate Amundson (Kellogg)<br />
*4. Ethan Degner (???)<br />
*Coaches: Ginnny Amundson, Denise Strom, Nicole Pittenger (Kellogg)<br />
<br />
===2005===<br />
*1. Kory Kautz (Eden Prairie)<br />
*2. Chris Mueller (Eden Prairie)<br />
*3. Daniel Kalla (Capitol Hill)<br />
*4. Minna Chen (Wayzata East)<br />
*Coach: Alex Ford (Capitol Hill)<br />
*Countdown winner: Mark Strom (Kellogg)<br />
<br />
===2006===<br />
*1. Denise Chen (Wayzata East)<br />
*2. Chris Mueller (Eden Prairie)<br />
*3. Maggie Flint (Field Middle School)<br />
*4. Andrew Ford (Capitol Hill)<br />
*Coach: Alex Ford (Capitol Hill)<br />
*Countdown winner: Maggie Flint (Field MS)<br />
<br />
===2007===<br />
*1. Gaurav Singh (Wayzata Central)<br />
*2. Andrew Ford (St. Louis Park)<br />
*3. Nathan Salo (Falcon Ridge)<br />
*4. Soham Shah (Eden Prairie)<br />
*Coaches: Laural Scaife, Nicole Pittenger and Matt Zemke (Kellogg)<br />
*Countdown winner: Justin Scaife (Kellogg)<br />
<br />
===2008===<br />
*1. Martin Camacho (Virtus Academy Homeschool)<br />
*2. Nathan Salo (Falcon Ridge)<br />
*3. Ben Dion<br />
*4. Sahiba Singh<br />
*Coaches:<br />
*Countdown winner:<br />
<br />
== Resources ==<br />
* [http://www.mnspe.org/mathcounts/ Minnesota MathCounts]<br />
* [[Minnesota mathematics competitions]]<br />
* [[Mathematics competition resources]]</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Tinytim&diff=29319User:Tinytim2009-01-10T00:55:36Z<p>Gauss1181: New page: 666</p>
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<div>666</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Isabella2296&diff=29144User:Isabella22962009-01-04T18:16:49Z<p>Gauss1181: New page: :P Known as Izzy the FTW Addict.</p>
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<div>:P<br />
Known as Izzy the FTW Addict.</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Mewto55555&diff=29143User:Mewto555552009-01-04T18:16:06Z<p>Gauss1181: </p>
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<div>Mewto55555 is a former spammer now turned good dedicated to helping AOPS defeat any evils opposing it. He is best friends with [[Larry Evans]]. He pwns.</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Mewto55555&diff=29142User:Mewto555552009-01-04T18:15:52Z<p>Gauss1181: </p>
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<div>Mewto55555 is a former spammer now turned good dedicated to helping AOPS defeat any evils opposing it. He is best friends with [[Larry Evans]] and his friends from school. He pwns.</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_mili&diff=29134User:Suma mili2009-01-04T00:08:12Z<p>Gauss1181: </p>
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<div>Hmmm, yeah. I just found it so necessary to create a page about myself. So here it goes:<br />
<br />
Hi, my name is gauss1181. I'm 14, and I grew up in Illinois in my entire life. I'm in 8th grade and currently take an online Algebra II class in school. I do well in school, having a 4.0 GPA each year. And I'm a girl, so stop being a n00b by calling me a "he." But that doesn't mean I'm purely female. I'm a tomboy, and therefore I'm not a hot-looking model girl. I'm just a plain old Asian girl, so stop calling me a model girl. Otherwise you're a n00b.<br />
<br />
And that's about all you have to know about me. Seya.<br />
tytia. (teh new online acronym for Thank you, That is all.)</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_mili&diff=29133User:Suma mili2009-01-04T00:06:57Z<p>Gauss1181: </p>
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<div>Hmmm, yeah. I just found it so necessary to create a page about myself. So here it goes:<br />
<br />
Hi, my name is gauss1181, and I grew up in Illinois in my entire life. I'm in 8th grade and currently take an online Algebra II class in school. I do well in school, having a 4.0 GPA each year. <br />
<br />
And that's about all you have to know about me. Seya.<br />
tytia. (teh new online acronym for Thank you, That is all.)</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_mili&diff=29132User:Suma mili2009-01-04T00:06:32Z<p>Gauss1181: </p>
<hr />
<div>Hmmm, yeah. I just found it so necessary to create a page about myself. So here it goes:<br />
<br />
Hi, my name is gauss1181, and I grew up in Illinois in my entire life. I'm in 8th grade and currently take an online Algebra II class in school. I do well in school, having a 4.0 GPA each year. <br />
<br />
And that's about all you have to know about me. Seya.<br />
tytia.</div>Gauss1181https://artofproblemsolving.com/wiki/index.php?title=User:Suma_mili&diff=28992User:Suma mili2008-12-30T17:47:06Z<p>Gauss1181: New page: :D :D :D</p>
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<div>:D :D :D</div>Gauss1181