The United Kingdom's national mathematical olympiad, first held in 1965 and today run by the UK Mathematics Trust. Round 1 (BMO1) is a three-and-a-half-hour paper of six problems sat in schools, entered mainly through the UK Senior Mathematical Challenge. The best are invited to Round 2 (BMO2), four problems in the same time, which was known as the Further International Selection Test until 1991.
2026
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2026 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemSolutionBMO 2026 BMO2 problem 2, All problems
2025
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2025 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemSolutionBMO 2025 BMO2 problem 2, All problems
2024
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2024 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemSolutionBMO 2024 BMO2 problem 2, All problems
2023
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2023 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemSolutionBMO 2023 BMO2 problem 2, All problems
2022
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2022 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemSolutionBMO 2022 BMO2 problem 2, All problems
2021
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2021 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemSolutionBMO 2021 BMO2 problem 2, All problems
2020
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2020 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2020 BMO2 problem 2, All problems
2019
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2019 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2019 BMO2 problem 2, All problems
2018
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2018 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2018 BMO2 problem 2, All problems
2017
United Kingdom
BMO1
Problems1 problem
1All problemsProblemSolutionBMO 2017 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2017 BMO2 problem 2, All problems
2016
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2016 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2016 BMO2 problem 2, All problems
2015
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2015 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2015 BMO2 problem 2, All problems
2014
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2014 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2014 BMO2 problem 2, All problems
2013
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2013 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2013 BMO2 problem 2, All problems
2012
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2012 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2012 BMO2 problem 2, All problems
2011
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2011 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2011 BMO2 problem 2, All problems
2010
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2010 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2010 BMO2 problem 2, All problems
2009
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2009 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2009 BMO2 problem 2, All problems
2008
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2008 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2008 BMO2 problem 2, All problems
2007
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2007 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2007 BMO2 problem 2, All problems
2006
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2006 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2006 BMO2 problem 2, All problems
2005
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2005 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2005 BMO2 problem 2, All problems
2004
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2004 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2004 BMO2 problem 2, All problems
2003
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2003 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2003 BMO2 problem 2, All problems
2002
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2002 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2002 BMO2 problem 2, All problems
2001
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2001 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2001 BMO2 problem 2, All problems
2000
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 2000 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 2000 BMO2 problem 2, All problems
1999
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1999 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1999 BMO2 problem 2, All problems
1998
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1998 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1998 BMO2 problem 2, All problems
1997
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1997 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1997 BMO2 problem 2, All problems
1996
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1996 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1996 BMO2 problem 2, All problems
1995
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1995 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1995 BMO2 problem 2, All problems
1994
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1994 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1994 BMO2 problem 2, All problems
1993
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1993 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1993 BMO2 problem 2, All problems
1992
United Kingdom
BMO1
Problems1 problem
1All problemsProblemBMO 1992 BMO1 problem 1, All problems
BMO2
Problems1 problem
2All problemsProblemBMO 1992 BMO2 problem 2, All problems
1991
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1991 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1991 FIST problem 2, All problems
1990
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1990 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1990 FIST problem 2, All problems
1989
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1989 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1989 FIST problem 2, All problems
1988
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1988 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1988 FIST problem 2, All problems
1987
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1987 BMO problem 1, All problems
1986
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1986 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1986 FIST problem 2, All problems
1985
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1985 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1985 FIST problem 2, All problems
1984
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1984 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1984 FIST problem 2, All problems
1983
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1983 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1983 FIST problem 2, All problems
1982
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1982 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1982 FIST problem 2, All problems
1981
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1981 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1981 FIST problem 2, All problems
1980
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1980 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1980 FIST problem 2, All problems
1979
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1979 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1979 FIST problem 2, All problems
1978
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1978 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1978 FIST problem 2, All problems
1977
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1977 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1977 FIST problem 2, All problems
1976
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1976 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1976 FIST problem 2, All problems
1975
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1975 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1975 FIST problem 2, All problems
1974
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1974 BMO problem 1, All problems
FIST
Problems1 problem
2All problemsProblemBMO 1974 FIST problem 2, All problems
1973
United Kingdom
BMO
Problems1 problem
1All problemsProblemBMO 1973 BMO problem 1, All problems
1972
United Kingdom
FIST
Problems1 problem
1All problemsProblemBMO 1972 FIST problem 1, All problems
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