Maths Olympiad Prep

Library /Croatian Mathematical Competitions

Croatian Mathematical Competitions

120 problems here, rated 4.4 to 7.9 on our scale (AIME to National Olympiad, round 2). 119 of them ask for a proof.

Algebra 40Combinatorics 20Geometry 30Number theory 30
#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 Number theory 4.6 proof — open
15 Geometry 4.7 proof — open
16 Algebra 4.7 proof — open
17 Algebra 4.8 proof — open
18 Combinatorics 4.8 proof — open
19 Algebra 4.8 proof — open
20 Geometry 4.9 proof — open
21 Algebra 4.9 proof — open
22 Number theory 4.9 proof — open
23 Number theory 4.9 proof — open
24 Number theory 4.9 proof — open
25 Algebra 5.0 proof — open
26 Algebra 5.0 proof — open
27 Algebra 5.1 proof — open
28 Geometry 5.1 proof — open
29 Combinatorics 5.1 proof — open
30 Geometry 5.2 proof — open
31 Algebra 5.2 proof — open
32 Geometry 5.2 proof — open
33 Algebra 5.2 proof — open
34 Algebra 5.2 proof — open
35 Algebra 5.2 proof — open
36 Algebra 5.2 proof — open
37 Number theory 5.2 proof — open
38 Number theory 5.3 proof — open
39 Combinatorics 5.3 proof — open
40 Combinatorics 5.3 proof — open
41 Algebra 5.3 proof — open
42 Number theory 5.3 proof — open
43 Number theory 5.3 proof — open
44 Number theory 5.3 proof — open
45 Algebra 5.4 proof — open
46 Number theory 5.4 proof — open
47 Geometry 5.4 proof — open
48 Number theory 5.4 proof — open
49 Algebra 5.4 proof — open
50 Number theory 5.4 proof — open
51 Algebra 5.5 answer — open
52 Combinatorics 5.5 proof — open
53 Geometry 5.5 proof — open
54 Combinatorics 5.5 proof — open
55 Number theory 5.6 proof — open
56 Geometry 5.6 proof — open
57 Geometry 5.6 proof — open
58 Number theory 5.6 proof — open
59 Number theory 5.6 proof — open
60 Number theory 5.6 proof — open
61 Algebra 5.6 proof — open
62 Algebra 5.6 proof — open
63 Algebra 5.6 proof — open
64 Number theory 5.6 proof — open
65 Algebra 5.6 proof — open
66 Combinatorics 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 Geometry 5.7 proof — open
73 Number theory 5.7 proof — open
74 Number theory 5.7 proof — open
75 Number theory 5.7 proof — open
76 Number theory 5.7 proof — open
77 Algebra 5.8 proof — open
78 Geometry 5.8 proof — open
79 Geometry 5.8 proof — open
80 Geometry 5.9 proof — open
81 Algebra 5.9 proof — open
82 Algebra 5.9 proof — open
83 Number theory 6.0 proof — open
84 Algebra 6.0 proof — open
85 Geometry 6.1 proof — open
86 Geometry 6.1 proof — open
87 Geometry 6.1 proof — open
88 Geometry 6.2 proof — open
89 Number theory 6.2 proof — open
90 Geometry 6.2 proof — open
91 Combinatorics 6.2 proof — open
92 Algebra 6.2 proof — open
93 Geometry 6.2 proof — open
94 Combinatorics 6.3 proof — open
95 Algebra 6.3 proof — open
96 Algebra 6.3 proof — open
97 Geometry 6.3 proof — open
98 Combinatorics 6.4 proof — open
99 Algebra 6.5 proof — open
100 Combinatorics 6.6 proof — open
101 Geometry 6.6 proof — open
102 Algebra 6.6 proof — open
103 Geometry 6.6 proof — open
104 Algebra 6.6 proof — open
105 Geometry 6.7 proof — open
106 Combinatorics 6.8 proof — open
107 Combinatorics 6.8 proof — open
108 Combinatorics 6.8 proof — open
109 Algebra 6.9 proof — open
110 Combinatorics 7.0 proof — open
111 Algebra 7.2 proof — open
112 Geometry 7.2 proof — open
113 Geometry 7.3 proof — open
114 Combinatorics 7.3 proof — open
115 Algebra 7.4 proof — open
116 Algebra 7.5 proof — open
117 Combinatorics 7.7 proof — open
118 Combinatorics 7.8 proof — open
119 Combinatorics 7.8 proof — open
120 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.