UKMT Cayley Olympiad
16 problems here, rated 2 to 5 on our scale (Junior to AIME, harder). 16 of them ask for a proof. Years covered: 2016–2026.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 2.0 | proof | 2017 | open |
| 2 | Number theory | 2.0 | proof | 2017 | open |
| 3 | Algebra | 2.0 | proof | 2019 | open |
| 4 | Number theory | 3.0 | proof | 2019 | open |
| 5 | Number theory | 3.0 | proof | 2021 | open |
| 6 | Number theory | 3.0 | proof | 2016 | open |
| 7 | Combinatorics | 3.0 | proof | 2017 | open |
| 8 | Number theory | 3.0 | proof | 2019 | open |
| 9 | Algebra | 3.0 | proof | 2020 | open |
| 10 | Combinatorics | 3.0 | proof | 2018 | open |
| 11 | Number theory | 5.0 | proof | 2024 | open |
| 12 | Combinatorics | 5.0 | proof | 2016 | open |
| 13 | Algebra | 5.0 | proof | 2024 | open |
| 14 | Combinatorics | 5.0 | proof | 2026 | open |
| 15 | Combinatorics | 5.0 | proof | 2021 | open |
| 16 | Combinatorics | 5.0 | proof | 2024 | 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.