UKMT Junior Mathematical Olympiad
61 problems here, rated 1 to 5 on our scale (Junior to AIME, harder). 61 of them ask for a proof. Years covered: 2015–2026.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 1.0 | proof | 2015 | open |
| 2 | Algebra | 1.0 | proof | 2019 | open |
| 3 | Algebra | 1.0 | proof | 2022 | open |
| 4 | Algebra | 1.0 | proof | 2022 | open |
| 5 | Algebra | 1.0 | proof | 2022 | open |
| 6 | Number theory | 1.0 | proof | 2015 | open |
| 7 | Algebra | 1.0 | proof | 2017 | open |
| 8 | Algebra | 1.0 | proof | 2022 | open |
| 9 | Algebra | 1.0 | proof | 2022 | open |
| 10 | Algebra | 1.0 | proof | 2016 | open |
| 11 | Algebra | 1.0 | proof | 2019 | open |
| 12 | Algebra | 1.0 | proof | 2017 | open |
| 13 | Number theory | 1.0 | proof | 2019 | open |
| 14 | Algebra | 1.0 | proof | 2017 | open |
| 15 | Number theory | 1.0 | proof | 2019 | open |
| 16 | Geometry | 2.0 | proof | 2016 | open |
| 17 | Number theory | 2.0 | proof | 2016 | open |
| 18 | Combinatorics | 2.0 | proof | 2019 | open |
| 19 | Number theory | 2.0 | proof | 2019 | open |
| 20 | Number theory | 2.0 | proof | 2022 | open |
| 21 | Number theory | 2.0 | proof | 2025 | open |
| 22 | Algebra | 2.0 | proof | 2016 | open |
| 23 | Algebra | 2.0 | proof | 2019 | open |
| 24 | Geometry | 2.0 | proof | 2024 | open |
| 25 | Algebra | 2.0 | proof | 2024 | open |
| 26 | Number theory | 2.0 | proof | 2022 | open |
| 27 | Geometry | 2.0 | proof | 2016 | open |
| 28 | Algebra | 2.0 | proof | 2017 | open |
| 29 | Algebra | 2.0 | proof | 2024 | open |
| 30 | Algebra | 2.0 | proof | 2017 | open |
| 31 | Number theory | 2.0 | proof | 2019 | open |
| 32 | Geometry | 2.0 | proof | 2024 | open |
| 33 | Algebra | 2.0 | proof | 2015 | open |
| 34 | Number theory | 3.0 | proof | 2017 | open |
| 35 | Number theory | 3.0 | proof | 2026 | open |
| 36 | Number theory | 3.0 | proof | 2022 | open |
| 37 | Algebra | 3.0 | proof | 2024 | open |
| 38 | Algebra | 3.0 | proof | 2017 | open |
| 39 | Number theory | 3.0 | proof | 2026 | open |
| 40 | Algebra | 3.0 | proof | 2019 | open |
| 41 | Geometry | 3.0 | proof | 2015 | open |
| 42 | Combinatorics | 3.0 | proof | 2022 | open |
| 43 | Number theory | 3.0 | proof | 2015 | open |
| 44 | Geometry | 3.0 | proof | 2016 | open |
| 45 | Number theory | 3.0 | proof | 2024 | open |
| 46 | Number theory | 3.0 | proof | 2026 | open |
| 47 | Algebra | 3.0 | proof | 2024 | open |
| 48 | Number theory | 3.0 | proof | 2019 | open |
| 49 | Combinatorics | 3.0 | proof | 2019 | open |
| 50 | Combinatorics | 3.0 | proof | 2018 | open |
| 51 | Number theory | 3.0 | proof | 2017 | open |
| 52 | Number theory | 3.0 | proof | 2015 | open |
| 53 | Algebra | 3.0 | proof | 2024 | open |
| 54 | Number theory | 3.0 | proof | 2016 | open |
| 55 | Combinatorics | 5.0 | proof | 2024 | open |
| 56 | Combinatorics | 5.0 | proof | 2016 | open |
| 57 | Number theory | 5.0 | proof | 2017 | open |
| 58 | Combinatorics | 5.0 | proof | 2024 | open |
| 59 | Geometry | 5.0 | proof | 2015 | open |
| 60 | Number theory | 5.0 | proof | 2025 | open |
| 61 | Combinatorics | 5.0 | proof | 2026 | 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.