UKMT Cayley Olympiad
22 problems here, rated 2 to 3 on our scale (Junior to AMC 10/12). 22 of them ask for a proof. Years covered: 2015–2025.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Geometry | 2.0 | proof | 2015 | open |
| 2 | Algebra | 2.0 | proof | 2017 | open |
| 3 | Number theory | 2.0 | proof | 2017 | open |
| 4 | Algebra | 2.0 | proof | 2019 | open |
| 5 | Combinatorics | 2.0 | proof | 2018 | open |
| 6 | Geometry | 2.0 | proof | 2020 | open |
| 7 | Algebra | 2.0 | proof | 2015 | open |
| 8 | Geometry | 3.0 | proof | 2022 | open |
| 9 | Geometry | 3.0 | proof | 2018 | open |
| 10 | Number theory | 3.0 | proof | 2019 | open |
| 11 | Number theory | 3.0 | proof | 2025 | open |
| 12 | Number theory | 3.0 | proof | 2021 | open |
| 13 | Number theory | 3.0 | proof | 2022 | open |
| 14 | Number theory | 3.0 | proof | 2016 | open |
| 15 | Algebra | 3.0 | proof | 2022 | open |
| 16 | Combinatorics | 3.0 | proof | 2017 | open |
| 17 | Geometry | 3.0 | proof | 2018 | open |
| 18 | Combinatorics | 3.0 | proof | 2015 | open |
| 19 | Number theory | 3.0 | proof | 2019 | open |
| 20 | Algebra | 3.0 | proof | 2020 | open |
| 21 | Algebra | 3.0 | proof | 2023 | open |
| 22 | Combinatorics | 3.0 | proof | 2018 | 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.