Difference between revisions of "Balkan MO Problems and Solutions, with authors"

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This page lists the authors of the problems of the [[Balkan Mathematical Olympiad|BMO]].
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== 1984 ==
 
== 1984 ==
  
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* [[1984 BMO Problems/Problem 3 | Problem 3]]
 
* [[1984 BMO Problems/Problem 3 | Problem 3]]
 
* [[1984 BMO Problems/Problem 4 | Problem 4]]
 
* [[1984 BMO Problems/Problem 4 | Problem 4]]
* [[1984 BMO Problems/Problem 5 | Problem 5]]
 
* [[1984 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 1985 ==
 
== 1985 ==
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* [[1985 BMO Problems/Problem 3 | Problem 3]]
 
* [[1985 BMO Problems/Problem 3 | Problem 3]]
 
* [[1985 BMO Problems/Problem 4 | Problem 4]]
 
* [[1985 BMO Problems/Problem 4 | Problem 4]]
* [[1985 BMO Problems/Problem 5 | Problem 5]]
 
* [[1985 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 1986 ==
 
== 1986 ==
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== 1995 ==
 
== 1995 ==
 +
Problem 1:
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Triangle ABC has a right angle at C. The internal bisectors of angles BAC and ABC meet
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BC and CA at P and Q respectively. The points M and N are the feet of the perpendiculars from P and Q
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to AB. Find angle MCN.
  
 
== 1996 ==
 
== 1996 ==
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* [[1997 BMO Problems/Problem 3 | Problem 3]]
 
* [[1997 BMO Problems/Problem 3 | Problem 3]]
 
* [[1997 BMO Problems/Problem 4 | Problem 4]]
 
* [[1997 BMO Problems/Problem 4 | Problem 4]]
* [[1997 BMO Problems/Problem 5 | Problem 5]]
 
* [[1997 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 1998 ==
 
== 1998 ==
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* [[1998 BMO Problems/Problem 3 | Problem 3]]
 
* [[1998 BMO Problems/Problem 3 | Problem 3]]
 
* [[1998 BMO Problems/Problem 4 | Problem 4]]
 
* [[1998 BMO Problems/Problem 4 | Problem 4]]
* [[1998 BMO Problems/Problem 5 | Problem 5]]
 
* [[1998 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 1999 ==
 
== 1999 ==
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* [[1999 BMO Problems/Problem 3 | Problem 3]]
 
* [[1999 BMO Problems/Problem 3 | Problem 3]]
 
* [[1999 BMO Problems/Problem 4 | Problem 4]]
 
* [[1999 BMO Problems/Problem 4 | Problem 4]]
* [[1999 BMO Problems/Problem 5 | Problem 5]]
 
* [[1999 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 2000 ==
 
== 2000 ==
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* [[2000 BMO Problems/Problem 3 | Problem 3]]
 
* [[2000 BMO Problems/Problem 3 | Problem 3]]
 
* [[2000 BMO Problems/Problem 4 | Problem 4]]
 
* [[2000 BMO Problems/Problem 4 | Problem 4]]
* [[2000 BMO Problems/Problem 5 | Problem 5]]
 
* [[2000 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 2001 ==
 
== 2001 ==
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* [[2001 BMO Problems/Problem 3 | Problem 3]]
 
* [[2001 BMO Problems/Problem 3 | Problem 3]]
 
* [[2001 BMO Problems/Problem 4 | Problem 4]]
 
* [[2001 BMO Problems/Problem 4 | Problem 4]]
* [[2001 BMO Problems/Problem 5 | Problem 5]]
 
* [[2001 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 2002 ==
 
== 2002 ==
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* [[2002 BMO Problems/Problem 3 | Problem 3]]
 
* [[2002 BMO Problems/Problem 3 | Problem 3]]
 
* [[2002 BMO Problems/Problem 4 | Problem 4]]
 
* [[2002 BMO Problems/Problem 4 | Problem 4]]
* [[2002 BMO Problems/Problem 5 | Problem 5]]
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* [[2002 BMO Problems/Problem 6 | Problem 6]]
 
 
== 2003 ==
 
== 2003 ==
  
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* [[2003 BMO Problems/Problem 3 | Problem 3]]
 
* [[2003 BMO Problems/Problem 3 | Problem 3]]
 
* [[2003 BMO Problems/Problem 4 | Problem 4]]
 
* [[2003 BMO Problems/Problem 4 | Problem 4]]
* [[2003 BMO Problems/Problem 5 | Problem 5]]
 
* [[2003 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 2004 ==
 
== 2004 ==
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* [[2004 BMO Problems/Problem 3 | Problem 3]]
 
* [[2004 BMO Problems/Problem 3 | Problem 3]]
 
* [[2004 BMO Problems/Problem 4 | Problem 4]]
 
* [[2004 BMO Problems/Problem 4 | Problem 4]]
* [[2004 BMO Problems/Problem 5 | Problem 5]]
 
* [[2004 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 2005 ==
 
== 2005 ==
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* [[2005 BMO Problems/Problem 3 | Problem 3]]
 
* [[2005 BMO Problems/Problem 3 | Problem 3]]
 
* [[2005 BMO Problems/Problem 4 | Problem 4]]
 
* [[2005 BMO Problems/Problem 4 | Problem 4]]
* [[2005 BMO Problems/Problem 5 | Problem 5]]
 
* [[2005 BMO Problems/Problem 6 | Problem 6]]
 
  
 
== 2006 ==
 
== 2006 ==
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* [[2006 BMO Problems/Problem 3 | Problem 3]]
 
* [[2006 BMO Problems/Problem 3 | Problem 3]]
 
* [[2006 BMO Problems/Problem 4 | Problem 4]]
 
* [[2006 BMO Problems/Problem 4 | Problem 4]]
* [[2006 BMO Problems/Problem 5 | Problem 5]]
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* [[2006 BMO Problems/Problem 6 | Problem 6]]
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== 2007 ==
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 +
* [[2007 BMO]]
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* [[2007 BMO Problems]]
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* [[2007 BMO Problems/Problem 1 | Problem 1]]
 +
* [[2007 BMO Problems/Problem 2 | Problem 2]]
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* [[2007 BMO Problems/Problem 3 | Problem 3]]
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* [[2007 BMO Problems/Problem 4 | Problem 4]]
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 +
== 2008 ==
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 +
 
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== 2009 ==
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== 2010 ==
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== 2011 ==
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== 2012 ==
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== 2013 ==
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== 2014 ==
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== 2015 ==
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== 2016 ==
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== 2017 ==
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* [[2017 BMO]]
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* [[2017 BMO Problems]]
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* [[2017 BMO Problems/Problem 1 | Problem 1]]
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* [[2017 BMO Problems/Problem 2 | Problem 2]]
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* [[2017 BMO Problems/Problem 3 | Problem 3]]
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* [[2017 BMO Problems/Problem 4 | Problem 4]]
  
  
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* [[Academic Olympiads]]
 
* [[Academic Olympiads]]
 
* [[Mathematics competition resources]]
 
* [[Mathematics competition resources]]
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 +
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[[Category:Math Contest Problems]]

Revision as of 23:03, 8 June 2018

This page lists the authors of the problems of the BMO.

1984

1985

1986

1987

1988

1989

1990

1991

1992

1993

1994

1995

Problem 1: Triangle ABC has a right angle at C. The internal bisectors of angles BAC and ABC meet BC and CA at P and Q respectively. The points M and N are the feet of the perpendiculars from P and Q to AB. Find angle MCN.

1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

2012

2013

2014

2015

2016

2017


See also