Maths Olympiad Prep

Library /CEMC Galois

CEMC Galois

30 problems here, rated 1 to 4.1 on our scale (Junior to AIME). 30 of them ask for a proof. Years covered: 2012–2026.

Algebra 12Combinatorics 2Geometry 11Number theory 5
#TopicDiffTypeYear
1 Algebra 1.0 proof 2025 open
2 Algebra 1.0 proof 2019 open
3 Algebra 2.0 proof 2018 open
4 Algebra 2.0 proof 2013 open
5 Algebra 2.0 proof 2016 open
6 Algebra 2.0 proof 2022 open
7 Geometry 2.0 proof 2012 open
8 Algebra 2.1 proof 2025 open
9 Algebra 3.0 proof 2020 open
10 Number theory 3.0 proof 2014 open
11 Geometry 3.1 proof 2018 open
12 Geometry 3.1 proof 2020 open
13 Geometry 3.1 proof 2026 open
14 Algebra 3.1 proof 2015 open
15 Geometry 3.1 proof 2022 open
16 Algebra 3.1 proof 2012 open
17 Combinatorics 3.1 proof 2024 open
18 Algebra 4.1 proof 2017 open
19 Number theory 4.1 proof 2023 open
20 Algebra 4.1 proof 2014 open
21 Geometry 4.1 proof 2019 open
22 Geometry 4.1 proof 2016 open
23 Number theory 4.1 proof 2015 open
24 Number theory 4.1 proof 2026 open
25 Geometry 4.1 proof 2025 open
26 Geometry 4.1 proof 2016 open
27 Geometry 4.1 proof 2023 open
28 Geometry 4.1 proof 2021 open
29 Combinatorics 4.1 proof 2022 open
30 Number theory 4.1 proof 2025 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.