Maths Olympiad Prep

Library /Croatia Mathematical Competitions

Croatia Mathematical Competitions

27 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 27 of them ask for a proof.

Algebra 7Combinatorics 4Geometry 8Number theory 8
#TopicDiffTypeYear
1 Number theory 4.5 proof — open
2 Geometry 4.9 proof — open
3 Algebra 5.0 proof — open
4 Algebra 5.1 proof — open
5 Combinatorics 5.3 proof — open
6 Number theory 5.3 proof — open
7 Number theory 5.4 proof — open
8 Geometry 5.5 proof — open
9 Number theory 5.5 proof — open
10 Number theory 5.5 proof — open
11 Algebra 5.5 proof — open
12 Number theory 5.5 proof — open
13 Number theory 5.6 proof — open
14 Geometry 5.7 proof — open
15 Algebra 5.7 proof — open
16 Geometry 5.8 proof — open
17 Algebra 5.8 proof — open
18 Geometry 5.9 proof — open
19 Geometry 6.0 proof — open
20 Algebra 6.3 proof — open
21 Algebra 6.5 proof — open
22 Combinatorics 6.6 proof — open
23 Combinatorics 6.8 proof — open
24 Number theory 7.0 proof — open
25 Geometry 7.0 proof — open
26 Geometry 7.0 proof — open
27 Combinatorics 7.7 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.