CEMC Galois
97 problems here, rated 1 to 4.1 on our scale (Junior to AIME). 97 of them ask for a proof. Years covered: 2003–2026.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 1.0 | proof | 2010 | open |
| 2 | Algebra | 1.0 | proof | 2003 | open |
| 3 | Algebra | 1.0 | proof | 2010 | open |
| 4 | Algebra | 1.0 | proof | 2007 | open |
| 5 | Algebra | 1.0 | proof | 2007 | open |
| 6 | Algebra | 1.0 | proof | 2003 | open |
| 7 | Algebra | 1.0 | proof | 2009 | open |
| 8 | Algebra | 1.0 | proof | 2007 | open |
| 9 | Geometry | 1.0 | proof | 2007 | open |
| 10 | Algebra | 1.0 | proof | 2010 | open |
| 11 | Geometry | 1.0 | proof | 2007 | open |
| 12 | Algebra | 1.0 | proof | 2003 | open |
| 13 | Geometry | 1.0 | proof | 2007 | open |
| 14 | Algebra | 1.0 | proof | 2010 | open |
| 15 | Algebra | 1.0 | proof | 2025 | open |
| 16 | Algebra | 1.0 | proof | 2019 | open |
| 17 | Geometry | 2.0 | proof | 2010 | open |
| 18 | Geometry | 2.0 | proof | 2008 | open |
| 19 | Geometry | 2.0 | proof | 2010 | open |
| 20 | Geometry | 2.0 | proof | 2010 | open |
| 21 | Geometry | 2.0 | proof | 2010 | open |
| 22 | Geometry | 2.0 | proof | 2008 | open |
| 23 | Geometry | 2.0 | proof | 2008 | open |
| 24 | Geometry | 2.0 | proof | 2004 | open |
| 25 | Geometry | 2.0 | proof | 2010 | open |
| 26 | Combinatorics | 2.0 | proof | 2004 | open |
| 27 | Geometry | 2.0 | proof | 2004 | open |
| 28 | Combinatorics | 2.0 | proof | 2004 | open |
| 29 | Geometry | 2.0 | proof | 2010 | open |
| 30 | Geometry | 2.0 | proof | 2004 | open |
| 31 | Geometry | 2.0 | proof | 2010 | open |
| 32 | Geometry | 2.0 | proof | 2008 | open |
| 33 | Combinatorics | 2.0 | proof | 2004 | open |
| 34 | Algebra | 2.0 | proof | 2021 | open |
| 35 | Number theory | 2.0 | proof | 2026 | open |
| 36 | Geometry | 2.0 | proof | 2012 | open |
| 37 | Algebra | 2.0 | proof | 2018 | open |
| 38 | Geometry | 2.0 | proof | 2024 | open |
| 39 | Algebra | 2.0 | proof | 2013 | open |
| 40 | Algebra | 2.0 | proof | 2016 | open |
| 41 | Algebra | 2.0 | proof | 2015 | open |
| 42 | Algebra | 2.0 | proof | 2022 | open |
| 43 | Geometry | 2.1 | proof | 2024 | open |
| 44 | Algebra | 2.1 | proof | 2013 | open |
| 45 | Algebra | 2.1 | proof | 2012 | open |
| 46 | Algebra | 2.1 | proof | 2025 | open |
| 47 | Number theory | 3.0 | proof | 2003 | open |
| 48 | Combinatorics | 3.0 | proof | 2005 | open |
| 49 | Geometry | 3.0 | proof | 2009 | open |
| 50 | Number theory | 3.0 | proof | 2004 | open |
| 51 | Combinatorics | 3.0 | proof | 2005 | open |
| 52 | Combinatorics | 3.0 | proof | 2005 | open |
| 53 | Combinatorics | 3.0 | proof | 2003 | open |
| 54 | Number theory | 3.0 | proof | 2008 | open |
| 55 | Number theory | 3.0 | proof | 2005 | open |
| 56 | Combinatorics | 3.0 | proof | 2007 | open |
| 57 | Combinatorics | 3.0 | proof | 2007 | open |
| 58 | Algebra | 3.0 | proof | 2006 | open |
| 59 | Number theory | 3.0 | proof | 2008 | open |
| 60 | Number theory | 3.0 | proof | 2010 | open |
| 61 | Number theory | 3.0 | proof | 2010 | open |
| 62 | Algebra | 3.0 | proof | 2011 | open |
| 63 | Number theory | 3.0 | proof | 2008 | open |
| 64 | Geometry | 3.0 | proof | 2003 | open |
| 65 | Number theory | 3.0 | proof | 2005 | open |
| 66 | Number theory | 3.0 | proof | 2004 | open |
| 67 | Number theory | 3.0 | proof | 2005 | open |
| 68 | Number theory | 3.0 | proof | 2003 | open |
| 69 | Number theory | 3.0 | proof | 2010 | open |
| 70 | Geometry | 3.0 | proof | 2003 | open |
| 71 | Combinatorics | 3.0 | proof | 2003 | open |
| 72 | Algebra | 3.0 | proof | 2003 | open |
| 73 | Algebra | 3.0 | proof | 2020 | open |
| 74 | Combinatorics | 3.0 | proof | 2023 | open |
| 75 | Number theory | 3.0 | proof | 2014 | open |
| 76 | Geometry | 3.1 | proof | 2026 | open |
| 77 | Combinatorics | 3.1 | proof | 2021 | open |
| 78 | Geometry | 3.1 | proof | 2020 | open |
| 79 | Geometry | 3.1 | proof | 2018 | open |
| 80 | Geometry | 3.1 | proof | 2022 | open |
| 81 | Algebra | 3.1 | proof | 2015 | open |
| 82 | Combinatorics | 3.1 | proof | 2013 | open |
| 83 | Combinatorics | 3.1 | proof | 2024 | open |
| 84 | Algebra | 3.1 | proof | 2012 | open |
| 85 | Algebra | 4.1 | proof | 2017 | open |
| 86 | Geometry | 4.1 | proof | 2019 | open |
| 87 | Number theory | 4.1 | proof | 2023 | open |
| 88 | Algebra | 4.1 | proof | 2014 | open |
| 89 | Geometry | 4.1 | proof | 2016 | open |
| 90 | Geometry | 4.1 | proof | 2016 | open |
| 91 | Number theory | 4.1 | proof | 2026 | open |
| 92 | Geometry | 4.1 | proof | 2023 | open |
| 93 | Number theory | 4.1 | proof | 2015 | open |
| 94 | Geometry | 4.1 | proof | 2025 | open |
| 95 | Geometry | 4.1 | proof | 2021 | open |
| 96 | Number theory | 4.1 | proof | 2025 | open |
| 97 | Combinatorics | 4.1 | proof | 2022 | 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.