Maths Olympiad Prep

Library /CMO

CMO

24 problems here, rated 5.2 to 7.6 on our scale (AIME, harder to National Olympiad, round 2). 24 of them ask for a proof. Years covered: 2003–2024.

Algebra 5Combinatorics 5Geometry 9Number theory 5
#TopicDiffTypeYear
1 Geometry 5.2 proof open
2 Algebra 5.3 proof 2003 open
3 Geometry 5.5 proof 2003 open
4 Number theory 5.6 proof open
5 Geometry 5.6 proof 2017 open
6 Number theory 5.7 proof 2003 open
7 Geometry 6.0 proof 2003 open
8 Number theory 6.1 proof open
9 Geometry 6.3 proof 2003 open
10 Combinatorics 6.5 proof 2023 open
11 Geometry 6.6 proof 2017 open
12 Combinatorics 6.6 proof 2023 open
13 Algebra 6.6 proof 2023 open
14 Combinatorics 6.8 proof 2017 open
15 Geometry 6.8 proof 2024 open
16 Geometry 7.0 proof 2023 open
17 Algebra 7.1 proof open
18 Number theory 7.2 proof 2024 open
19 Geometry 7.2 proof open
20 Combinatorics 7.2 proof open
21 Number theory 7.3 proof 2024 open
22 Algebra 7.3 proof 2024 open
23 Algebra 7.5 proof 2024 open
24 Combinatorics 7.6 proof 2023 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.