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 |...)
 
m
Line 6: Line 6:
 
** [[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]]
Line 11: Line 12:
 
** [[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]]
Line 16: Line 18:
 
** [[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]]
Line 21: Line 24:
 
** [[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]]
Line 26: Line 30:
 
** [[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]]
Line 31: Line 36:
 
** [[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]]
Line 36: Line 42:
 
** [[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]]
Line 41: Line 48:
 
** [[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]]
Line 46: Line 54:
 
** [[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]]
Line 51: Line 60:
 
** [[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]]
Line 56: Line 66:
 
** [[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]]
Line 61: Line 72:
 
** [[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]]
Line 66: Line 78:
 
** [[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]]
Line 71: Line 84:
 
** [[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]]
Line 76: Line 90:
 
** [[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]]
Line 81: Line 96:
 
** [[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]]
Line 86: Line 102:
 
** [[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]]
Line 91: Line 108:
 
** [[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]]
Line 96: Line 114:
 
** [[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]]
Line 101: Line 120:
 
** [[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]]
  
 
== Resources ==
 
== Resources ==

Revision as of 17:06, 13 April 2008