If you’re the competitive type, you can participate in some competitions that we host. If you’re just curious about what competition maths might be like, we also run biweekly competition maths catchups.
SMO and UMO
The School Maths Olympics (SMO) is a fast-paced, teamwork-centred annual maths competition for high school students. The UMO is much the same, but open to uni students. If you’re curious about joining, check out our archive of past papers below. You can register for the SMO here https://mathscomp.ms.unimelb.edu.au/
Integration bee
A long standing tradition in collaboration with the Physics Students Society. Students compete to see who can solve nasty integrals the fastest.
Past papers and solutions
UMO
- 1999 Answers.pdf
- 1999 Questions.pdf
- 2000 Questions.pdf
- 2000 Solutions.pdf
- 2001 Questions.pdf
- 2001 Solutions.pdf
- 2004 Answers.pdf
- 2004 Questions.pdf
- 2005 Questions.pdf
- 2005 Solutions.pdf
- 2006 Answers.pdf
- 2006 Questions.pdf
- 2007 Answers.pdf
- 2007 Questions.pdf
- 2008 Answers.pdf
- 2008 Questions.pdf
- 2009 Questions.pdf
- 2010 Answers.pdf
- 2010 Questions.pdf
- 2011 Questions.pdf
- 2011 Solutions.pdf
- 2013 Answers.pdf
- 2013 Questions.pdf
- 2014 Answers.pdf
- 2014 Questions.pdf
- 2015 Answers.pdf
- 2015 Questions.pdf
- 2016 Answers.pdf
- 2016 Questions.pdf
- UMO2022.pdf
- UMO_2019_answers_v2.pdf
- UMO_2019_questions_v2.pdf
- UMO_2020_Questions.pdf
- UMO_2020_Questions_with_Answers.pdf
- UMO_2021_Questions.pdf
- UMO_2024_Questions.pdf
- UMO_2024_Solutions.pdf
SMO
- 1999 answers.pdf
- 1999 questions.pdf
- 2000 answers.pdf
- 2000 questions.pdf
- 2001 questions.pdf
- 2001 solutions.pdf
- 2004 questions.pdf
- 2004 solutions.pdf
- 2005 questions.pdf
- 2005 solutions.pdf
- 2006 questions.pdf
- 2006 solutions.pdf
- 2007 questions.pdf
- 2007 solutions.pdf
- 2008 questions.pdf
- 2008 solutions.pdf
- 2009 questions.pdf
- 2009 solutions.pdf
- 2010 questions.pdf
- 2010 solutions.pdf
- 2011 questions.pdf
- 2011 solutions.pdf
- 2012 questions.pdf
- 2012 solutions.pdf
- 2013 questions.pdf
- 2014 answers.pdf
- 2014 questions.pdf
- 2016 answers.pdf
- 2016 questions.pdf
- 2017 answers.pdf
- 2017 questions.pdf
- SMO 2018 Questions.pdf
- SMO 2018 answers.pdf
- SMO 2021 Q only.pdf
- SMO 2021 Q&A.pdf
- SMO2022.pdf
- SMO_2020_slides.pdf
- SMO_2020_slides_with_answers.pdf