BMO Round 1
36 problems here, rated 3 to 7 on our scale (AMC 10/12 to National Olympiad, round 2). 18 of them ask for a proof. Years covered: 2007–2026.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 3.0 | answer | 2021 | open |
| 2 | Algebra | 3.0 | answer | 2008 | open |
| 3 | Number theory | 3.0 | answer | 2008 | open |
| 4 | Geometry | 3.0 | proof | 2007 | open |
| 5 | Number theory | 3.0 | answer | 2018 | open |
| 6 | Geometry | 4.0 | proof | 2013 | open |
| 7 | Algebra | 4.0 | answer | 2009 | open |
| 8 | Number theory | 4.0 | answer | 2009 | open |
| 9 | Number theory | 4.0 | answer | 2019 | open |
| 10 | Combinatorics | 5.0 | answer | 2022 | open |
| 11 | Number theory | 5.0 | answer | 2019 | open |
| 12 | Number theory | 5.0 | answer | 2024 | open |
| 13 | Number theory | 5.0 | answer | 2021 | open |
| 14 | Algebra | 5.0 | proof | 2017 | open |
| 15 | Number theory | 6.0 | proof | 2016 | open |
| 16 | Combinatorics | 6.0 | proof | 2025 | open |
| 17 | Combinatorics | 6.0 | proof | 2012 | open |
| 18 | Number theory | 6.0 | proof | 2015 | open |
| 19 | Combinatorics | 6.0 | answer | 2017 | open |
| 20 | Combinatorics | 6.0 | proof | 2013 | open |
| 21 | Geometry | 6.0 | proof | 2010 | open |
| 22 | Combinatorics | 6.0 | answer | 2021 | open |
| 23 | Number theory | 6.0 | proof | 2025 | open |
| 24 | Number theory | 6.0 | proof | 2026 | open |
| 25 | Combinatorics | 6.0 | answer | 2018 | open |
| 26 | Geometry | 6.0 | proof | 2010 | open |
| 27 | Geometry | 6.0 | proof | 2018 | open |
| 28 | Combinatorics | 6.0 | answer | 2012 | open |
| 29 | Algebra | 7.0 | answer | 2020 | open |
| 30 | Combinatorics | 7.0 | proof | 2025 | open |
| 31 | Geometry | 7.0 | proof | 2015 | open |
| 32 | Geometry | 7.0 | proof | 2017 | open |
| 33 | Number theory | 7.0 | answer | 2023 | open |
| 34 | Combinatorics | 7.0 | answer | 2026 | open |
| 35 | Geometry | 7.0 | proof | 2022 | open |
| 36 | Geometry | 7.0 | proof | 2023 | open |
These are sorted by difficulty within the competition, but they aren't a course.
The track is the route through, drawn from all the sources at once.