Maths Olympiad Prep

Library /Croatia competition problems

Croatia competition problems

26 problems here, rated 4.6 to 7.1 on our scale (AIME to National Olympiad, round 2). 25 of them ask for a proof.

Algebra 9Combinatorics 4Geometry 5Number theory 8
#TopicDiffTypeYear
1 Algebra 4.6 proof — open
2 Algebra 4.6 proof — open
3 Number theory 4.8 answer — open
4 Algebra 4.9 proof — open
5 Algebra 5.0 proof — open
6 Number theory 5.0 proof — open
7 Algebra 5.3 proof — open
8 Algebra 5.3 proof — open
9 Number theory 5.5 proof — open
10 Geometry 5.5 proof — open
11 Number theory 5.5 proof — open
12 Number theory 5.5 proof — open
13 Number theory 5.6 proof — open
14 Algebra 5.6 proof — open
15 Number theory 5.6 proof — open
16 Geometry 5.7 proof — open
17 Number theory 5.8 proof — open
18 Geometry 6.1 proof — open
19 Geometry 6.2 proof — open
20 Combinatorics 6.3 proof — open
21 Geometry 6.8 proof — open
22 Combinatorics 6.9 proof — open
23 Algebra 6.9 proof — open
24 Combinatorics 7.0 proof — open
25 Combinatorics 7.0 proof — open
26 Algebra 7.1 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.