Maths Olympiad Prep

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UKMT Mathematical Olympiad for Girls

44 problems here, rated 1 to 5 on our scale (Junior to AIME, harder). 44 of them ask for a proof. Years covered: 2011–2025.

Algebra 12Combinatorics 5Geometry 9Number theory 18
#TopicDiffTypeYear
1 Algebra 1.0 proof 2016 open
2 Number theory 2.0 proof 2014 open
3 Algebra 2.0 proof 2019 open
4 Algebra 3.0 proof 2014 open
5 Algebra 3.0 proof 2014 open
6 Number theory 3.0 proof 2018 open
7 Number theory 3.0 proof 2022 open
8 Combinatorics 3.0 proof 2014 open
9 Number theory 3.0 proof 2019 open
10 Number theory 3.0 proof 2022 open
11 Algebra 3.0 proof 2014 open
12 Number theory 3.0 proof 2022 open
13 Number theory 3.0 proof 2022 open
14 Number theory 5.0 proof 2025 open
15 Geometry 5.0 proof 2011 open
16 Algebra 5.0 proof 2023 open
17 Number theory 5.0 proof 2021 open
18 Combinatorics 5.0 proof 2023 open
19 Number theory 5.0 proof 2025 open
20 Number theory 5.0 proof 2021 open
21 Geometry 5.0 proof 2022 open
22 Algebra 5.0 proof 2024 open
23 Algebra 5.0 proof 2023 open
24 Geometry 5.0 proof 2022 open
25 Combinatorics 5.0 proof 2020 open
26 Geometry 5.0 proof 2022 open
27 Geometry 5.0 proof 2023 open
28 Algebra 5.0 proof 2011 open
29 Number theory 5.0 proof 2021 open
30 Number theory 5.0 proof 2025 open
31 Algebra 5.0 proof 2021 open
32 Algebra 5.0 proof 2021 open
33 Geometry 5.0 proof 2017 open
34 Combinatorics 5.0 proof 2023 open
35 Number theory 5.0 proof 2011 open
36 Number theory 5.0 proof 2017 open
37 Combinatorics 5.0 proof 2019 open
38 Number theory 5.0 proof 2025 open
39 Number theory 5.0 proof 2021 open
40 Algebra 5.0 proof 2024 open
41 Number theory 5.0 proof 2025 open
42 Geometry 5.0 proof 2018 open
43 Geometry 5.0 proof 2023 open
44 Geometry 5.0 proof 2011 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.