Maths Olympiad Prep

Library /Final Round of National Olympiad

Final Round of National Olympiad

27 problems here, rated 4.9 to 6.8 on our scale (AIME to National Olympiad). 26 of them ask for a proof.

Algebra 7Combinatorics 4Geometry 11Number theory 5
#TopicDiffTypeYear
1 Geometry 4.9 proof — open
2 Number theory 4.9 proof — open
3 Algebra 4.9 proof — open
4 Combinatorics 5.0 proof — open
5 Algebra 5.1 proof — open
6 Number theory 5.1 proof — open
7 Combinatorics 5.1 proof — open
8 Algebra 5.1 proof — open
9 Geometry 5.3 proof — open
10 Number theory 5.3 proof — open
11 Number theory 5.4 proof — open
12 Geometry 5.5 proof — open
13 Algebra 5.6 proof — open
14 Geometry 5.6 proof — open
15 Number theory 5.7 proof — open
16 Algebra 5.9 proof — open
17 Algebra 5.9 proof — open
18 Geometry 6.0 proof — open
19 Geometry 6.0 proof — open
20 Geometry 6.0 proof — open
21 Geometry 6.1 proof — open
22 Geometry 6.2 proof — open
23 Algebra 6.3 answer — open
24 Combinatorics 6.4 proof — open
25 Geometry 6.7 proof — open
26 Combinatorics 6.7 proof — open
27 Geometry 6.8 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.