OBM Problems and Solutions
Brazil's national olympiad, first organised by the Brazilian Mathematical Society in 1979. From 1998 it ran in three phases at three school levels, with a university level added in 2001. Since 2017 the school levels qualify through OBMEP and sit a single final, and the university level followed in 2020.
2025
Brazil
Final
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2025 Final Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2025 Final Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2025 Final Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2025 Final University problem 4, All problems
2024
Brazil
Final
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2024 Final Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2024 Final Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2024 Final Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2024 Final University problem 4, All problems
2023
Brazil
Final
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2023 Final Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2023 Final Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2023 Final Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2023 Final University problem 4, All problems
2022
Brazil
Final
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2022 Final Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2022 Final Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2022 Final Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2022 Final University problem 4, All problems
2021
Brazil
Final
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2021 Final Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2021 Final Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2021 Final Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2021 Final University problem 4, All problems
2020
Brazil
Final
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2020 Final Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2020 Final Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2020 Final Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2020 Final University problem 4, All problems
2019
Brazil
Phase 1
1 University All problems Problem Solution OBM 2019 Phase 1 University problem 1, All problems Phase 2
University 1 problem All problems Problem 2 University All problems Problem OBM 2019 Phase 2 University problem 2, All problems Final
Level 1 1 problem All problems Problem 3 Level 1 All problems Problem OBM 2019 Final Level 1 problem 3, All problems Level 2 1 problem All problems Problem 4 Level 2 All problems Problem OBM 2019 Final Level 2 problem 4, All problems Level 3 1 problem All problems Problem 5 Level 3 All problems Problem OBM 2019 Final Level 3 problem 5, All problems
2018
Brazil
Phase 1
1 University All problems Problem Solution OBM 2018 Phase 1 University problem 1, All problems Phase 2
University 1 problem All problems Problem 2 University All problems Problem OBM 2018 Phase 2 University problem 2, All problems Final
Level 1 1 problem All problems Problem 3 Level 1 All problems Problem OBM 2018 Final Level 1 problem 3, All problems Level 2 1 problem All problems Problem 4 Level 2 All problems Problem OBM 2018 Final Level 2 problem 4, All problems Level 3 1 problem All problems Problem 5 Level 3 All problems Problem OBM 2018 Final Level 3 problem 5, All problems
2017
Brazil
Phase 1
1 University All problems Problem Solution OBM 2017 Phase 1 University problem 1, All problems Phase 2
University 1 problem All problems Problem 2 University All problems Problem OBM 2017 Phase 2 University problem 2, All problems Final
Level 1 1 problem All problems Problem 3 Level 1 All problems Problem OBM 2017 Final Level 1 problem 3, All problems Level 2 1 problem All problems Problem 4 Level 2 All problems Problem OBM 2017 Final Level 2 problem 4, All problems Level 3 1 problem All problems Problem 5 Level 3 All problems Problem OBM 2017 Final Level 3 problem 5, All problems
2016
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2016 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2016 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2016 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2016 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2016 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2016 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2016 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2016 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2016 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2016 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2016 Phase 3 Level 3 problem 11, All problems
2015
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2015 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2015 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2015 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2015 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2015 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2015 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2015 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2015 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2015 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2015 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2015 Phase 3 Level 3 problem 11, All problems
2014
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2014 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2014 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2014 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2014 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2014 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2014 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2014 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2014 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2014 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2014 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2014 Phase 3 Level 3 problem 11, All problems
2013
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2013 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2013 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2013 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2013 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2013 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2013 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2013 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2013 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2013 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2013 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2013 Phase 3 Level 3 problem 11, All problems
2012
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2012 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2012 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2012 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2012 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2012 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2012 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2012 Phase 2 Level 3 problem 7, All problems University 2 problems
8 University Day 1 Problem OBM 2012 Phase 2 University problem 8, Day 1 9 University Day 2 Problem OBM 2012 Phase 2 University problem 9, Day 2 Phase 3
Level 1 1 problem All problems Problem 10 Level 1 All problems Problem OBM 2012 Phase 3 Level 1 problem 10, All problems Level 2 1 problem All problems Problem 11 Level 2 All problems Problem OBM 2012 Phase 3 Level 2 problem 11, All problems Level 3 1 problem All problems Problem 12 Level 3 All problems Problem OBM 2012 Phase 3 Level 3 problem 12, All problems
2011
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2011 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2011 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2011 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2011 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2011 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2011 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2011 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2011 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2011 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2011 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2011 Phase 3 Level 3 problem 11, All problems
2010
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2010 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2010 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2010 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2010 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2010 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2010 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2010 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2010 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2010 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2010 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2010 Phase 3 Level 3 problem 11, All problems
2009
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2009 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2009 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2009 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2009 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2009 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2009 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2009 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2009 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2009 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2009 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2009 Phase 3 Level 3 problem 11, All problems
2008
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2008 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2008 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2008 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2008 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2008 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2008 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2008 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2008 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2008 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2008 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2008 Phase 3 Level 3 problem 11, All problems
2007
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2007 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2007 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2007 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2007 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2007 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2007 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2007 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2007 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2007 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2007 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2007 Phase 3 Level 3 problem 11, All problems
2006
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2006 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2006 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2006 Phase 1 Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2006 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2006 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2006 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2006 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2006 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2006 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2006 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2006 Phase 3 Level 3 problem 11, All problems
2005
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2005 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2005 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2005 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2005 Phase 1 University problem 4, All problems Phase 2
5 Level 1 All problems Problem Solution OBM 2005 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2005 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2005 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2005 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2005 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2005 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2005 Phase 3 Level 3 problem 11, All problems
2004
Brazil
Phase 1
1 Level 1 All problems Problem Solution OBM 2004 Phase 1 Level 1 problem 1, All problems 2 Level 2 All problems Problem Solution OBM 2004 Phase 1 Level 2 problem 2, All problems 3 Level 3 All problems Problem Solution OBM 2004 Phase 1 Level 3 problem 3, All problems 4 University All problems Problem Solution OBM 2004 Phase 1 University problem 4, All problems Phase 2
Level 1 1 problem All problems Problem 5 Level 1 All problems Problem OBM 2004 Phase 2 Level 1 problem 5, All problems 6 Level 2 All problems Problem Solution OBM 2004 Phase 2 Level 2 problem 6, All problems 7 Level 3 All problems Problem Solution OBM 2004 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2004 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2004 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2004 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2004 Phase 3 Level 3 problem 11, All problems
2003
Brazil
Phase 1
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2003 Phase 1 Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2003 Phase 1 Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2003 Phase 1 Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2003 Phase 1 University problem 4, All problems Phase 2
Level 1 1 problem All problems Problem 5 Level 1 All problems Problem OBM 2003 Phase 2 Level 1 problem 5, All problems Level 2 1 problem All problems Problem 6 Level 2 All problems Problem OBM 2003 Phase 2 Level 2 problem 6, All problems Level 3 1 problem All problems Problem 7 Level 3 All problems Problem OBM 2003 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2003 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2003 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2003 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2003 Phase 3 Level 3 problem 11, All problems
2002
Brazil
Phase 1
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2002 Phase 1 Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2002 Phase 1 Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2002 Phase 1 Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2002 Phase 1 University problem 4, All problems Phase 2
Level 1 1 problem All problems Problem 5 Level 1 All problems Problem OBM 2002 Phase 2 Level 1 problem 5, All problems Level 2 1 problem All problems Problem 6 Level 2 All problems Problem OBM 2002 Phase 2 Level 2 problem 6, All problems Level 3 1 problem All problems Problem 7 Level 3 All problems Problem OBM 2002 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2002 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2002 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2002 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2002 Phase 3 Level 3 problem 11, All problems
2001
Brazil
Phase 1
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2001 Phase 1 Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2001 Phase 1 Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2001 Phase 1 Level 3 problem 3, All problems University 1 problem All problems Problem 4 University All problems Problem OBM 2001 Phase 1 University problem 4, All problems Phase 2
Level 1 1 problem All problems Problem 5 Level 1 All problems Problem OBM 2001 Phase 2 Level 1 problem 5, All problems Level 2 1 problem All problems Problem 6 Level 2 All problems Problem OBM 2001 Phase 2 Level 2 problem 6, All problems Level 3 1 problem All problems Problem 7 Level 3 All problems Problem OBM 2001 Phase 2 Level 3 problem 7, All problems University 1 problem All problems Problem 8 University All problems Problem OBM 2001 Phase 2 University problem 8, All problems Phase 3
Level 1 1 problem All problems Problem 9 Level 1 All problems Problem OBM 2001 Phase 3 Level 1 problem 9, All problems Level 2 1 problem All problems Problem 10 Level 2 All problems Problem OBM 2001 Phase 3 Level 2 problem 10, All problems Level 3 1 problem All problems Problem 11 Level 3 All problems Problem OBM 2001 Phase 3 Level 3 problem 11, All problems
2000
Brazil
Phase 1
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 2000 Phase 1 Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 2000 Phase 1 Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 2000 Phase 1 Level 3 problem 3, All problems Phase 2
Level 1 1 problem All problems Problem 4 Level 1 All problems Problem OBM 2000 Phase 2 Level 1 problem 4, All problems Level 2 1 problem All problems Problem 5 Level 2 All problems Problem OBM 2000 Phase 2 Level 2 problem 5, All problems Level 3 1 problem All problems Problem 6 Level 3 All problems Problem OBM 2000 Phase 2 Level 3 problem 6, All problems Phase 3
Level 1 1 problem All problems Problem 7 Level 1 All problems Problem OBM 2000 Phase 3 Level 1 problem 7, All problems Level 2 1 problem All problems Problem 8 Level 2 All problems Problem OBM 2000 Phase 3 Level 2 problem 8, All problems Level 3 1 problem All problems Problem 9 Level 3 All problems Problem OBM 2000 Phase 3 Level 3 problem 9, All problems
1999
Brazil
Phase 1
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 1999 Phase 1 Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 1999 Phase 1 Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 1999 Phase 1 Level 3 problem 3, All problems Phase 2
Level 1 1 problem All problems Problem 4 Level 1 All problems Problem OBM 1999 Phase 2 Level 1 problem 4, All problems Level 2 1 problem All problems Problem 5 Level 2 All problems Problem OBM 1999 Phase 2 Level 2 problem 5, All problems Level 3 1 problem All problems Problem 6 Level 3 All problems Problem OBM 1999 Phase 2 Level 3 problem 6, All problems Phase 3
Level 1 1 problem All problems Problem 7 Level 1 All problems Problem OBM 1999 Phase 3 Level 1 problem 7, All problems Level 2 1 problem All problems Problem 8 Level 2 All problems Problem OBM 1999 Phase 3 Level 2 problem 8, All problems Level 3 1 problem All problems Problem 9 Level 3 All problems Problem OBM 1999 Phase 3 Level 3 problem 9, All problems
1998
Brazil
Phase 1
Level 1 1 problem All problems Problem 1 Level 1 All problems Problem OBM 1998 Phase 1 Level 1 problem 1, All problems Level 2 1 problem All problems Problem 2 Level 2 All problems Problem OBM 1998 Phase 1 Level 2 problem 2, All problems Level 3 1 problem All problems Problem 3 Level 3 All problems Problem OBM 1998 Phase 1 Level 3 problem 3, All problems Phase 2
Level 1 1 problem All problems Problem 4 Level 1 All problems Problem OBM 1998 Phase 2 Level 1 problem 4, All problems Level 2 1 problem All problems Problem 5 Level 2 All problems Problem OBM 1998 Phase 2 Level 2 problem 5, All problems Level 3 1 problem All problems Problem 6 Level 3 All problems Problem OBM 1998 Phase 2 Level 3 problem 6, All problems Phase 3
Level 1 1 problem All problems Problem 7 Level 1 All problems Problem OBM 1998 Phase 3 Level 1 problem 7, All problems Level 2 1 problem All problems Problem 8 Level 2 All problems Problem OBM 1998 Phase 3 Level 2 problem 8, All problems Level 3 1 problem All problems Problem 9 Level 3 All problems Problem OBM 1998 Phase 3 Level 3 problem 9, All problems
Problem PDF: Problems PDF: Solution PDF: Solutions PDF: Marking scheme PDF: Marking scheme PDF: Problems and solutions PDF: Problems and solutions PDF: LaTeX source (.zip): LaTeX source (.zip): Add to list: More materials:
Files collected from OBM Website . Papers are in Portuguese. The gabaritos of the first two phases, 2004 to 2016, are answer keys followed by worked solutions; the finals have none.
Developed by Lucas Takayasu · contato@olimpicos.net
