Maths Olympiad Prep

Library /Local Mathematical Competitions

Local Mathematical Competitions

23 problems here, rated 4.4 to 7.6 on our scale (AIME to National Olympiad, round 2). 23 of them ask for a proof.

Algebra 5Combinatorics 6Geometry 7Number theory 5
#TopicDiffTypeYear
1 Geometry 4.4 proof — open
2 Number theory 4.5 proof — open
3 Combinatorics 4.5 proof — open
4 Number theory 4.7 proof — open
5 Geometry 5.3 proof — open
6 Number theory 5.3 proof — open
7 Geometry 5.5 proof — open
8 Geometry 5.7 proof — open
9 Combinatorics 5.8 proof — open
10 Algebra 5.9 proof — open
11 Algebra 6.0 proof — open
12 Combinatorics 6.3 proof — open
13 Number theory 6.3 proof — open
14 Combinatorics 6.5 proof — open
15 Algebra 6.5 proof — open
16 Geometry 6.6 proof — open
17 Geometry 6.8 proof — open
18 Combinatorics 6.9 proof — open
19 Algebra 7.0 proof — open
20 Geometry 7.1 proof — open
21 Number theory 7.2 proof — open
22 Combinatorics 7.3 proof — open
23 Algebra 7.6 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.