Maths Olympiad Prep

Library /EGMO

EGMO

25 problems here, rated 6.8 to 8.3 on our scale (National Olympiad to Shortlist). 25 of them ask for a proof. Years covered: 2020–2024.

Algebra 5Combinatorics 5Geometry 9Number theory 6
#TopicDiffTypeYear
1 Geometry 6.8 proof 2021 open
2 Geometry 7.0 proof 2024 open
3 Geometry 7.5 proof 2023 open
4 Geometry 7.6 proof open
5 Geometry 7.6 proof 2020 open
6 Geometry 7.7 proof open
7 Number theory 7.7 proof open
8 Geometry 7.7 proof open
9 Combinatorics 7.7 proof open
10 Geometry 7.7 proof open
11 Algebra 7.8 proof open
12 Algebra 7.8 proof 2020 open
13 Combinatorics 7.8 proof 2023 open
14 Number theory 7.8 proof open
15 Algebra 7.8 proof 2024 open
16 Combinatorics 7.9 proof 2024 open
17 Geometry 7.9 proof 2020 open
18 Number theory 8.0 proof 2024 open
19 Number theory 8.0 proof 2024 open
20 Number theory 8.0 proof open
21 Algebra 8.0 proof open
22 Number theory 8.0 proof 2024 open
23 Algebra 8.1 proof 2020 open
24 Combinatorics 8.2 proof open
25 Combinatorics 8.3 proof 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.