Maths Olympiad Prep

Library /Croatian Mathematical Competitions

Croatian Mathematical Competitions

114 problems here, rated 4.4 to 7.9 on our scale (AIME to National Olympiad, round 2). 113 of them ask for a proof.

Algebra 39Combinatorics 19Geometry 28Number theory 28
#TopicDiffTypeYear
1 Geometry 4.4 proof — open
2 Number theory 4.4 proof — open
3 Algebra 4.4 proof — open
4 Geometry 4.5 proof — open
5 Geometry 4.5 proof — open
6 Algebra 4.5 proof — open
7 Algebra 4.5 proof — open
8 Algebra 4.5 proof — open
9 Number theory 4.5 proof — open
10 Algebra 4.5 proof — open
11 Geometry 4.5 proof — open
12 Algebra 4.6 proof — open
13 Number theory 4.6 proof — open
14 Geometry 4.7 proof — open
15 Algebra 4.7 proof — open
16 Algebra 4.8 proof — open
17 Combinatorics 4.8 proof — open
18 Algebra 4.8 proof — open
19 Geometry 4.9 proof — open
20 Algebra 4.9 proof — open
21 Number theory 4.9 proof — open
22 Number theory 4.9 proof — open
23 Algebra 5.0 proof — open
24 Algebra 5.0 proof — open
25 Algebra 5.1 proof — open
26 Geometry 5.1 proof — open
27 Combinatorics 5.1 proof — open
28 Algebra 5.2 proof — open
29 Geometry 5.2 proof — open
30 Algebra 5.2 proof — open
31 Algebra 5.2 proof — open
32 Algebra 5.2 proof — open
33 Algebra 5.2 proof — open
34 Number theory 5.2 proof — open
35 Number theory 5.3 proof — open
36 Combinatorics 5.3 proof — open
37 Combinatorics 5.3 proof — open
38 Algebra 5.3 proof — open
39 Number theory 5.3 proof — open
40 Number theory 5.3 proof — open
41 Number theory 5.3 proof — open
42 Algebra 5.4 proof — open
43 Number theory 5.4 proof — open
44 Geometry 5.4 proof — open
45 Number theory 5.4 proof — open
46 Algebra 5.4 proof — open
47 Number theory 5.4 proof — open
48 Algebra 5.5 answer — open
49 Combinatorics 5.5 proof — open
50 Geometry 5.5 proof — open
51 Combinatorics 5.5 proof — open
52 Number theory 5.6 proof — open
53 Geometry 5.6 proof — open
54 Geometry 5.6 proof — open
55 Number theory 5.6 proof — open
56 Number theory 5.6 proof — open
57 Number theory 5.6 proof — open
58 Algebra 5.6 proof — open
59 Algebra 5.6 proof — open
60 Algebra 5.6 proof — open
61 Number theory 5.6 proof — open
62 Algebra 5.6 proof — open
63 Combinatorics 5.7 proof — open
64 Number theory 5.7 proof — open
65 Number theory 5.7 proof — open
66 Number theory 5.7 proof — open
67 Number theory 5.7 proof — open
68 Geometry 5.7 proof — open
69 Number theory 5.7 proof — open
70 Number theory 5.7 proof — open
71 Number theory 5.7 proof — open
72 Number theory 5.7 proof — open
73 Algebra 5.8 proof — open
74 Geometry 5.8 proof — open
75 Geometry 5.8 proof — open
76 Geometry 5.9 proof — open
77 Algebra 5.9 proof — open
78 Algebra 5.9 proof — open
79 Number theory 6.0 proof — open
80 Algebra 6.0 proof — open
81 Geometry 6.1 proof — open
82 Geometry 6.1 proof — open
83 Geometry 6.1 proof — open
84 Geometry 6.2 proof — open
85 Number theory 6.2 proof — open
86 Geometry 6.2 proof — open
87 Combinatorics 6.2 proof — open
88 Algebra 6.2 proof — open
89 Geometry 6.2 proof — open
90 Combinatorics 6.3 proof — open
91 Algebra 6.3 proof — open
92 Geometry 6.3 proof — open
93 Combinatorics 6.4 proof — open
94 Algebra 6.5 proof — open
95 Geometry 6.6 proof — open
96 Algebra 6.6 proof — open
97 Geometry 6.6 proof — open
98 Algebra 6.6 proof — open
99 Geometry 6.7 proof — open
100 Combinatorics 6.8 proof — open
101 Combinatorics 6.8 proof — open
102 Combinatorics 6.8 proof — open
103 Algebra 6.9 proof — open
104 Combinatorics 7.0 proof — open
105 Algebra 7.2 proof — open
106 Geometry 7.2 proof — open
107 Geometry 7.3 proof — open
108 Combinatorics 7.3 proof — open
109 Algebra 7.4 proof — open
110 Algebra 7.5 proof — open
111 Combinatorics 7.7 proof — open
112 Combinatorics 7.8 proof — open
113 Combinatorics 7.8 proof — open
114 Combinatorics 7.9 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.