Maths Olympiad Prep

Library /Local Mathematical Competitions

Local Mathematical Competitions

25 problems here, rated 4.4 to 7.6 on our scale (AIME to National Olympiad, round 2). 25 of them ask for a proof.

Algebra 6Combinatorics 7Geometry 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 Algebra 5.5 proof — open
8 Geometry 5.5 proof — open
9 Geometry 5.7 proof — open
10 Combinatorics 5.8 proof — open
11 Algebra 5.9 proof — open
12 Algebra 6.0 proof — open
13 Combinatorics 6.3 proof — open
14 Number theory 6.3 proof — open
15 Combinatorics 6.5 proof — open
16 Combinatorics 6.5 proof — open
17 Algebra 6.5 proof — open
18 Geometry 6.6 proof — open
19 Geometry 6.8 proof — open
20 Combinatorics 6.9 proof — open
21 Algebra 7.0 proof — open
22 Geometry 7.1 proof — open
23 Number theory 7.2 proof — open
24 Combinatorics 7.3 proof — open
25 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.