Maths Olympiad Prep

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UKMT Hamilton Olympiad

21 problems here, rated 2 to 5 on our scale (Junior to AIME, harder). 21 of them ask for a proof. Years covered: 2015–2026.

Algebra 7Combinatorics 2Geometry 1Number theory 11
#TopicDiffTypeYear
1 Number theory 2.0 proof 2015 open
2 Number theory 2.0 proof 2018 open
3 Algebra 2.0 proof 2015 open
4 Algebra 3.0 proof 2022 open
5 Algebra 3.0 proof 2022 open
6 Number theory 3.0 proof 2018 open
7 Algebra 3.0 proof 2019 open
8 Number theory 3.0 proof 2016 open
9 Number theory 3.0 proof 2018 open
10 Algebra 3.0 proof 2020 open
11 Number theory 3.0 proof 2023 open
12 Algebra 3.0 proof 2021 open
13 Algebra 3.0 proof 2017 open
14 Number theory 5.0 proof 2024 open
15 Number theory 5.0 proof 2020 open
16 Number theory 5.0 proof 2020 open
17 Geometry 5.0 proof 2022 open
18 Number theory 5.0 proof 2021 open
19 Combinatorics 5.0 proof 2026 open
20 Number theory 5.0 proof 2022 open
21 Combinatorics 5.0 proof 2021 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.