Maths Olympiad Prep

Library /CroatianCompetitions

CroatianCompetitions

28 problems here, rated 4.3 to 7.3 on our scale (AIME to National Olympiad, round 2). 28 of them ask for a proof.

Algebra 6Combinatorics 7Geometry 8Number theory 7
#TopicDiffTypeYear
1 Geometry 4.3 proof — open
2 Number theory 4.7 proof — open
3 Algebra 4.7 proof — open
4 Algebra 4.8 proof — open
5 Number theory 5.1 proof — open
6 Geometry 5.2 proof — open
7 Geometry 5.2 proof — open
8 Algebra 5.3 proof — open
9 Number theory 5.3 proof — open
10 Algebra 5.4 proof — open
11 Combinatorics 5.4 proof — open
12 Number theory 5.5 proof — open
13 Combinatorics 5.5 proof — open
14 Geometry 5.5 proof — open
15 Number theory 5.6 proof — open
16 Number theory 5.6 proof — open
17 Combinatorics 5.7 proof — open
18 Algebra 5.7 proof — open
19 Geometry 5.8 proof — open
20 Combinatorics 5.8 proof — open
21 Algebra 5.9 proof — open
22 Combinatorics 6.0 proof — open
23 Number theory 6.0 proof — open
24 Combinatorics 6.3 proof — open
25 Geometry 6.5 proof — open
26 Geometry 6.6 proof — open
27 Geometry 6.6 proof — open
28 Combinatorics 7.3 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.