Difference between revisions of "APMO Problems and Solutions"

(New page: Problems and solutions of the APMO. * 1989 APMO ** Problem 1 ** Problem 2 ** [[1989 APMO Problems/Problem 3 |...)
 
 
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** [[1989 APMO Problems/Problem 3 | Problem 3]]
 
** [[1989 APMO Problems/Problem 3 | Problem 3]]
 
** [[1989 APMO Problems/Problem 4 | Problem 4]]
 
** [[1989 APMO Problems/Problem 4 | Problem 4]]
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** [[1989 APMO Problems/Problem 5 | Problem 5]]
 
* [[1990 APMO]]
 
* [[1990 APMO]]
 
** [[1990 APMO Problems/Problem 1 | Problem 1]]
 
** [[1990 APMO Problems/Problem 1 | Problem 1]]
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** [[1990 APMO Problems/Problem 3 | Problem 3]]
 
** [[1990 APMO Problems/Problem 3 | Problem 3]]
 
** [[1990 APMO Problems/Problem 4 | Problem 4]]
 
** [[1990 APMO Problems/Problem 4 | Problem 4]]
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** [[1990 APMO Problems/Problem 5 | Problem 5]]
 
* [[1991 APMO]]
 
* [[1991 APMO]]
 
** [[1991 APMO Problems/Problem 1 | Problem 1]]
 
** [[1991 APMO Problems/Problem 1 | Problem 1]]
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** [[1991 APMO Problems/Problem 3 | Problem 3]]
 
** [[1991 APMO Problems/Problem 3 | Problem 3]]
 
** [[1991 APMO Problems/Problem 4 | Problem 4]]
 
** [[1991 APMO Problems/Problem 4 | Problem 4]]
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** [[1991 APMO Problems/Problem 5 | Problem 5]]
 
* [[1992 APMO]]
 
* [[1992 APMO]]
 
** [[1992 APMO Problems/Problem 1 | Problem 1]]
 
** [[1992 APMO Problems/Problem 1 | Problem 1]]
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** [[1992 APMO Problems/Problem 3 | Problem 3]]
 
** [[1992 APMO Problems/Problem 3 | Problem 3]]
 
** [[1992 APMO Problems/Problem 4 | Problem 4]]
 
** [[1992 APMO Problems/Problem 4 | Problem 4]]
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** [[1992 APMO Problems/Problem 5 | Problem 5]]
 
* [[1993 APMO]]
 
* [[1993 APMO]]
 
** [[1993 APMO Problems/Problem 1 | Problem 1]]
 
** [[1993 APMO Problems/Problem 1 | Problem 1]]
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** [[1993 APMO Problems/Problem 3 | Problem 3]]
 
** [[1993 APMO Problems/Problem 3 | Problem 3]]
 
** [[1993 APMO Problems/Problem 4 | Problem 4]]
 
** [[1993 APMO Problems/Problem 4 | Problem 4]]
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** [[1993 APMO Problems/Problem 5 | Problem 5]]
 
* [[1994 APMO]]
 
* [[1994 APMO]]
 
** [[1994 APMO Problems/Problem 1 | Problem 1]]
 
** [[1994 APMO Problems/Problem 1 | Problem 1]]
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** [[1994 APMO Problems/Problem 3 | Problem 3]]
 
** [[1994 APMO Problems/Problem 3 | Problem 3]]
 
** [[1994 APMO Problems/Problem 4 | Problem 4]]
 
** [[1994 APMO Problems/Problem 4 | Problem 4]]
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** [[1994 APMO Problems/Problem 5 | Problem 5]]
 
* [[1995 APMO]]
 
* [[1995 APMO]]
 
** [[1995 APMO Problems/Problem 1 | Problem 1]]
 
** [[1995 APMO Problems/Problem 1 | Problem 1]]
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** [[1995 APMO Problems/Problem 3 | Problem 3]]
 
** [[1995 APMO Problems/Problem 3 | Problem 3]]
 
** [[1995 APMO Problems/Problem 4 | Problem 4]]
 
** [[1995 APMO Problems/Problem 4 | Problem 4]]
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** [[1995 APMO Problems/Problem 5 | Problem 5]]
 
* [[1996 APMO]]
 
* [[1996 APMO]]
 
** [[1996 APMO Problems/Problem 1 | Problem 1]]
 
** [[1996 APMO Problems/Problem 1 | Problem 1]]
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** [[1996 APMO Problems/Problem 3 | Problem 3]]
 
** [[1996 APMO Problems/Problem 3 | Problem 3]]
 
** [[1996 APMO Problems/Problem 4 | Problem 4]]
 
** [[1996 APMO Problems/Problem 4 | Problem 4]]
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** [[1996 APMO Problems/Problem 5 | Problem 5]]
 
* [[1997 APMO]]
 
* [[1997 APMO]]
 
** [[1997 APMO Problems/Problem 1 | Problem 1]]
 
** [[1997 APMO Problems/Problem 1 | Problem 1]]
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** [[1997 APMO Problems/Problem 3 | Problem 3]]
 
** [[1997 APMO Problems/Problem 3 | Problem 3]]
 
** [[1997 APMO Problems/Problem 4 | Problem 4]]
 
** [[1997 APMO Problems/Problem 4 | Problem 4]]
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** [[1997 APMO Problems/Problem 5 | Problem 5]]
 
* [[1998 APMO]]
 
* [[1998 APMO]]
 
** [[1998 APMO Problems/Problem 1 | Problem 1]]
 
** [[1998 APMO Problems/Problem 1 | Problem 1]]
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** [[1998 APMO Problems/Problem 3 | Problem 3]]
 
** [[1998 APMO Problems/Problem 3 | Problem 3]]
 
** [[1998 APMO Problems/Problem 4 | Problem 4]]
 
** [[1998 APMO Problems/Problem 4 | Problem 4]]
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** [[1998 APMO Problems/Problem 5 | Problem 5]]
 
* [[1999 APMO]]
 
* [[1999 APMO]]
 
** [[1999 APMO Problems/Problem 1 | Problem 1]]
 
** [[1999 APMO Problems/Problem 1 | Problem 1]]
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** [[1999 APMO Problems/Problem 3 | Problem 3]]
 
** [[1999 APMO Problems/Problem 3 | Problem 3]]
 
** [[1999 APMO Problems/Problem 4 | Problem 4]]
 
** [[1999 APMO Problems/Problem 4 | Problem 4]]
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** [[1999 APMO Problems/Problem 5 | Problem 5]]
 
* [[2000 APMO]]
 
* [[2000 APMO]]
 
** [[2000 APMO Problems/Problem 1 | Problem 1]]
 
** [[2000 APMO Problems/Problem 1 | Problem 1]]
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** [[2000 APMO Problems/Problem 3 | Problem 3]]
 
** [[2000 APMO Problems/Problem 3 | Problem 3]]
 
** [[2000 APMO Problems/Problem 4 | Problem 4]]
 
** [[2000 APMO Problems/Problem 4 | Problem 4]]
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** [[2000 APMO Problems/Problem 5 | Problem 5]]
 
* [[2001 APMO]]
 
* [[2001 APMO]]
 
** [[2001 APMO Problems/Problem 1 | Problem 1]]
 
** [[2001 APMO Problems/Problem 1 | Problem 1]]
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** [[2001 APMO Problems/Problem 3 | Problem 3]]
 
** [[2001 APMO Problems/Problem 3 | Problem 3]]
 
** [[2001 APMO Problems/Problem 4 | Problem 4]]
 
** [[2001 APMO Problems/Problem 4 | Problem 4]]
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** [[2001 APMO Problems/Problem 5 | Problem 5]]
 
* [[2002 APMO]]
 
* [[2002 APMO]]
 
** [[2002 APMO Problems/Problem 1 | Problem 1]]
 
** [[2002 APMO Problems/Problem 1 | Problem 1]]
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** [[2002 APMO Problems/Problem 3 | Problem 3]]
 
** [[2002 APMO Problems/Problem 3 | Problem 3]]
 
** [[2002 APMO Problems/Problem 4 | Problem 4]]
 
** [[2002 APMO Problems/Problem 4 | Problem 4]]
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** [[2002 APMO Problems/Problem 5 | Problem 5]]
 
* [[2003 APMO]]
 
* [[2003 APMO]]
 
** [[2003 APMO Problems/Problem 1 | Problem 1]]
 
** [[2003 APMO Problems/Problem 1 | Problem 1]]
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** [[2003 APMO Problems/Problem 3 | Problem 3]]
 
** [[2003 APMO Problems/Problem 3 | Problem 3]]
 
** [[2003 APMO Problems/Problem 4 | Problem 4]]
 
** [[2003 APMO Problems/Problem 4 | Problem 4]]
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** [[2003 APMO Problems/Problem 5 | Problem 5]]
 
* [[2004 APMO]]
 
* [[2004 APMO]]
 
** [[2004 APMO Problems/Problem 1 | Problem 1]]
 
** [[2004 APMO Problems/Problem 1 | Problem 1]]
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** [[2004 APMO Problems/Problem 3 | Problem 3]]
 
** [[2004 APMO Problems/Problem 3 | Problem 3]]
 
** [[2004 APMO Problems/Problem 4 | Problem 4]]
 
** [[2004 APMO Problems/Problem 4 | Problem 4]]
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** [[2004 APMO Problems/Problem 5 | Problem 5]]
 
* [[2005 APMO]]
 
* [[2005 APMO]]
 
** [[2005 APMO Problems/Problem 1 | Problem 1]]
 
** [[2005 APMO Problems/Problem 1 | Problem 1]]
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** [[2005 APMO Problems/Problem 3 | Problem 3]]
 
** [[2005 APMO Problems/Problem 3 | Problem 3]]
 
** [[2005 APMO Problems/Problem 4 | Problem 4]]
 
** [[2005 APMO Problems/Problem 4 | Problem 4]]
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** [[2005 APMO Problems/Problem 5 | Problem 5]]
 
* [[2006 APMO]]
 
* [[2006 APMO]]
 
** [[2006 APMO Problems/Problem 1 | Problem 1]]
 
** [[2006 APMO Problems/Problem 1 | Problem 1]]
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** [[2006 APMO Problems/Problem 3 | Problem 3]]
 
** [[2006 APMO Problems/Problem 3 | Problem 3]]
 
** [[2006 APMO Problems/Problem 4 | Problem 4]]
 
** [[2006 APMO Problems/Problem 4 | Problem 4]]
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** [[2006 APMO Problems/Problem 5 | Problem 5]]
 
* [[2007 APMO]]
 
* [[2007 APMO]]
 
** [[2007 APMO Problems/Problem 1 | Problem 1]]
 
** [[2007 APMO Problems/Problem 1 | Problem 1]]
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** [[2007 APMO Problems/Problem 3 | Problem 3]]
 
** [[2007 APMO Problems/Problem 3 | Problem 3]]
 
** [[2007 APMO Problems/Problem 4 | Problem 4]]
 
** [[2007 APMO Problems/Problem 4 | Problem 4]]
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** [[2007 APMO Problems/Problem 5 | Problem 5]]
 
* [[2008 APMO]]
 
* [[2008 APMO]]
 
** [[2008 APMO Problems/Problem 1 | Problem 1]]
 
** [[2008 APMO Problems/Problem 1 | Problem 1]]
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** [[2008 APMO Problems/Problem 3 | Problem 3]]
 
** [[2008 APMO Problems/Problem 3 | Problem 3]]
 
** [[2008 APMO Problems/Problem 4 | Problem 4]]
 
** [[2008 APMO Problems/Problem 4 | Problem 4]]
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** [[2008 APMO Problems/Problem 5 | Problem 5]]
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* [[2009 APMO]]
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** [[2009 APMO Problems/Problem 1 | Problem 1]]
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** [[2009 APMO Problems/Problem 2 | Problem 2]]
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** [[2009 APMO Problems/Problem 3 | Problem 3]]
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** [[2009 APMO Problems/Problem 4 | Problem 4]]
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** [[2009 APMO Problems/Problem 5 | Problem 5]]
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* [[2010 APMO]]
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** [[2010 APMO Problems/Problem 1 | Problem 1]]
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** [[2010 APMO Problems/Problem 2 | Problem 2]]
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** [[2010 APMO Problems/Problem 3 | Problem 3]]
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** [[2010 APMO Problems/Problem 4 | Problem 4]]
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** [[2010 APMO Problems/Problem 5 | Problem 5]]
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* [[2011 APMO]]
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** [[2011 APMO Problems/Problem 1 | Problem 1]]
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** [[2011 APMO Problems/Problem 2 | Problem 2]]
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** [[2011 APMO Problems/Problem 3 | Problem 3]]
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** [[2011 APMO Problems/Problem 4 | Problem 4]]
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** [[2011 APMO Problems/Problem 5 | Problem 5]]
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* [[2012 APMO]]
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** [[2012 APMO Problems/Problem 1 | Problem 1]]
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** [[2012 APMO Problems/Problem 2 | Problem 2]]
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** [[2012 APMO Problems/Problem 3 | Problem 3]]
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** [[2012 APMO Problems/Problem 4 | Problem 4]]
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** [[2012 APMO Problems/Problem 5 | Problem 5]]
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* [[2013 APMO]]
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** [[2013 APMO Problems/Problem 1 | Problem 1]]
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** [[2013 APMO Problems/Problem 2 | Problem 2]]
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** [[2013 APMO Problems/Problem 3 | Problem 3]]
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** [[2013 APMO Problems/Problem 4 | Problem 4]]
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** [[2013 APMO Problems/Problem 5 | Problem 5]]
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* [[2014 APMO]]
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** [[2014 APMO Problems/Problem 1 | Problem 1]]
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** [[2014 APMO Problems/Problem 2 | Problem 2]]
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** [[2014 APMO Problems/Problem 3 | Problem 3]]
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** [[2014 APMO Problems/Problem 4 | Problem 4]]
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** [[2014 APMO Problems/Problem 5 | Problem 5]]
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* [[2015 APMO]]
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** [[2015 APMO Problems/Problem 1 | Problem 1]]
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** [[2015 APMO Problems/Problem 2 | Problem 2]]
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** [[2015 APMO Problems/Problem 3 | Problem 3]]
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** [[2015 APMO Problems/Problem 4 | Problem 4]]
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** [[2015 APMO Problems/Problem 5 | Problem 5]]
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* [[2016 APMO]]
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** [[2016 APMO Problems/Problem 1 | Problem 1]]
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** [[2016 APMO Problems/Problem 2 | Problem 2]]
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** [[2016 APMO Problems/Problem 3 | Problem 3]]
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** [[2016 APMO Problems/Problem 4 | Problem 4]]
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** [[2016 APMO Problems/Problem 5 | Problem 5]]
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* [[2023 APMO]]
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** [[2023 APMO Problems/Problem 1 | Problem 1]]
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** [[2023 APMO Problems/Problem 2 | Problem 2]]
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** [[2023 APMO Problems/Problem 3 | Problem 3]]
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** [[2023 APMO Problems/Problem 4 | Problem 4]]
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** [[2023 APMO Problems/Problem 5 | Problem 5]]
  
 
== Resources ==
 
== Resources ==
  
* [http://www.kms.or.kr/competitions/apmo/ Website]
+
* [http://www.apmo-official.org/ Official Website]
* [http://camel.math.ca/CMS/Competitions/APMO/ Unofficial website]
+
 
* [http://www.unl.edu/amc/a-activities/a7-problems/problemUSAMO-IMOarchive.shtml APMO, USAMO, USA TST, and IMO Problems]
 
* [ftp://ftp.uwm.edu/apmo Some APMO problems (.PS)]
 
  
  
 
[[Category:Math Contest Problems]]
 
[[Category:Math Contest Problems]]

Latest revision as of 20:52, 19 August 2023

Problems and solutions of the APMO.

Resources