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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[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]] | ||
+ | ** [[2008 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2009 APMO]] | ||
+ | ** [[2009 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2009 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2009 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2009 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2009 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2010 APMO]] | ||
+ | ** [[2010 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2010 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2010 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2010 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2010 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2011 APMO]] | ||
+ | ** [[2011 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2011 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2011 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2011 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2011 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2012 APMO]] | ||
+ | ** [[2012 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2012 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2012 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2012 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2012 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2013 APMO]] | ||
+ | ** [[2013 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2013 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2013 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2013 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2013 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2014 APMO]] | ||
+ | ** [[2014 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2014 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2014 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2014 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2014 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2015 APMO]] | ||
+ | ** [[2015 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2015 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2015 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2015 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2015 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2016 APMO]] | ||
+ | ** [[2016 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2016 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2016 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2016 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2016 APMO Problems/Problem 5 | Problem 5]] | ||
+ | * [[2023 APMO]] | ||
+ | ** [[2023 APMO Problems/Problem 1 | Problem 1]] | ||
+ | ** [[2023 APMO Problems/Problem 2 | Problem 2]] | ||
+ | ** [[2023 APMO Problems/Problem 3 | Problem 3]] | ||
+ | ** [[2023 APMO Problems/Problem 4 | Problem 4]] | ||
+ | ** [[2023 APMO Problems/Problem 5 | Problem 5]] | ||
== Resources == | == Resources == | ||
− | * [http://www. | + | * [http://www.apmo-official.org/ Official Website] |
− | + | ||
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− | |||
[[Category:Math Contest Problems]] | [[Category:Math Contest Problems]] |
Latest revision as of 20:52, 19 August 2023
Problems and solutions of the APMO.
- 1989 APMO
- 1990 APMO
- 1991 APMO
- 1992 APMO
- 1993 APMO
- 1994 APMO
- 1995 APMO
- 1996 APMO
- 1997 APMO
- 1998 APMO
- 1999 APMO
- 2000 APMO
- 2001 APMO
- 2002 APMO
- 2003 APMO
- 2004 APMO
- 2005 APMO
- 2006 APMO
- 2007 APMO
- 2008 APMO
- 2009 APMO
- 2010 APMO
- 2011 APMO
- 2012 APMO
- 2013 APMO
- 2014 APMO
- 2015 APMO
- 2016 APMO
- 2023 APMO