Maths Olympiad Prep

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Croatian Mathematical Olympiad

39 problems here, rated 5.2 to 7.3 on our scale (AIME, harder to National Olympiad, round 2). 39 of them ask for a proof.

Algebra 7Combinatorics 11Geometry 10Number theory 11
#TopicDiffTypeYear
1 Number theory 5.2 proof open
2 Number theory 5.3 proof open
3 Algebra 5.4 proof open
4 Algebra 5.4 proof open
5 Algebra 5.6 proof open
6 Number theory 5.6 proof open
7 Number theory 5.6 proof open
8 Algebra 5.7 proof open
9 Number theory 5.7 proof open
10 Number theory 5.8 proof open
11 Algebra 6.0 proof open
12 Number theory 6.0 proof open
13 Number theory 6.1 proof open
14 Geometry 6.1 proof open
15 Number theory 6.1 proof open
16 Number theory 6.2 proof open
17 Geometry 6.3 proof open
18 Combinatorics 6.3 proof open
19 Algebra 6.4 proof open
20 Combinatorics 6.4 proof open
21 Geometry 6.4 proof open
22 Combinatorics 6.5 proof open
23 Geometry 6.6 proof open
24 Geometry 6.6 proof open
25 Combinatorics 6.7 proof open
26 Geometry 6.7 proof open
27 Combinatorics 6.8 proof open
28 Algebra 6.8 proof open
29 Combinatorics 6.9 proof open
30 Combinatorics 7.0 proof open
31 Geometry 7.0 proof open
32 Geometry 7.0 proof open
33 Combinatorics 7.0 proof open
34 Number theory 7.1 proof open
35 Geometry 7.1 proof open
36 Combinatorics 7.1 proof open
37 Geometry 7.2 proof open
38 Combinatorics 7.3 proof open
39 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.