Maths Olympiad Prep

Library /Czech and Slovak Mathematical Olympiad

Czech and Slovak Mathematical Olympiad

75 problems here, rated 5 to 7.7 on our scale (AIME, harder to National Olympiad, round 2). 75 of them ask for a proof.

Algebra 19Combinatorics 15Geometry 28Number theory 13
#TopicDiffTypeYear
1 Geometry 5.0 proof — open
2 Geometry 5.0 proof — open
3 Algebra 5.0 proof — open
4 Combinatorics 5.1 proof — open
5 Algebra 5.2 proof — open
6 Algebra 5.3 proof — open
7 Algebra 5.3 proof — open
8 Geometry 5.4 proof — open
9 Number theory 5.4 proof — open
10 Geometry 5.4 proof — open
11 Geometry 5.5 proof — open
12 Geometry 5.5 proof — open
13 Algebra 5.5 proof — open
14 Geometry 5.5 proof — open
15 Geometry 5.6 proof — open
16 Number theory 5.6 proof — open
17 Geometry 5.6 proof — open
18 Geometry 5.7 proof — open
19 Algebra 5.7 proof — open
20 Geometry 5.7 proof — open
21 Geometry 5.8 proof — open
22 Number theory 5.8 proof — open
23 Combinatorics 5.8 proof — open
24 Geometry 5.8 proof — open
25 Geometry 5.8 proof — open
26 Algebra 5.8 proof — open
27 Combinatorics 5.8 proof — open
28 Geometry 5.9 proof — open
29 Number theory 5.9 proof — open
30 Combinatorics 5.9 proof — open
31 Combinatorics 5.9 proof — open
32 Number theory 6.0 proof — open
33 Geometry 6.0 proof — open
34 Geometry 6.0 proof — open
35 Geometry 6.1 proof — open
36 Algebra 6.1 proof — open
37 Algebra 6.1 proof — open
38 Algebra 6.2 proof — open
39 Combinatorics 6.2 proof — open
40 Geometry 6.2 proof — open
41 Combinatorics 6.3 proof — open
42 Geometry 6.3 proof — open
43 Number theory 6.3 proof — open
44 Algebra 6.3 proof — open
45 Number theory 6.3 proof — open
46 Number theory 6.3 proof — open
47 Number theory 6.3 proof — open
48 Number theory 6.3 proof — open
49 Algebra 6.4 proof — open
50 Combinatorics 6.4 proof — open
51 Algebra 6.4 proof — open
52 Geometry 6.4 proof — open
53 Geometry 6.5 proof — open
54 Combinatorics 6.5 proof — open
55 Algebra 6.5 proof — open
56 Algebra 6.6 proof — open
57 Algebra 6.6 proof — open
58 Geometry 6.6 proof — open
59 Combinatorics 6.7 proof — open
60 Number theory 6.7 proof — open
61 Geometry 6.8 proof — open
62 Geometry 6.8 proof — open
63 Geometry 6.8 proof — open
64 Combinatorics 6.8 proof — open
65 Geometry 7.1 proof — open
66 Number theory 7.1 proof — open
67 Combinatorics 7.3 proof — open
68 Combinatorics 7.3 proof — open
69 Combinatorics 7.3 proof — open
70 Algebra 7.3 proof — open
71 Number theory 7.5 proof — open
72 Algebra 7.6 proof — open
73 Geometry 7.6 proof — open
74 Algebra 7.7 proof — open
75 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.