Maths Olympiad Prep

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Slovenian Mathematical Olympiad

74 problems here, rated 3.5 to 7.8 on our scale (AMC 10/12 to National Olympiad, round 2). 64 of them ask for a proof. Years covered: 2008–2016.

Algebra 25Combinatorics 9Geometry 25Number theory 15
#TopicDiffTypeYear
1 Geometry 3.5 answer 2016 open
2 Geometry 3.6 answer 2016 open
3 Algebra 3.8 answer 2016 open
4 Algebra 3.8 answer 2016 open
5 Algebra 3.9 answer 2016 open
6 Algebra 4.3 answer 2016 open
7 Algebra 4.4 answer 2016 open
8 Geometry 4.5 proof 2008 open
9 Algebra 4.5 proof 2008 open
10 Geometry 4.5 proof 2016 open
11 Algebra 4.6 proof 2016 open
12 Algebra 4.6 answer 2016 open
13 Algebra 4.7 proof 2008 open
14 Number theory 4.7 proof 2016 open
15 Algebra 4.8 proof 2016 open
16 Algebra 4.8 proof 2008 open
17 Algebra 4.8 proof 2008 open
18 Algebra 4.8 proof 2008 open
19 Number theory 5.0 proof 2008 open
20 Number theory 5.0 proof 2008 open
21 Number theory 5.0 proof 2008 open
22 Algebra 5.1 proof 2008 open
23 Geometry 5.2 answer 2016 open
24 Number theory 5.2 proof 2008 open
25 Number theory 5.3 proof 2008 open
26 Number theory 5.4 proof 2008 open
27 Geometry 5.4 proof 2008 open
28 Geometry 5.4 proof 2008 open
29 Algebra 5.4 proof 2008 open
30 Algebra 5.4 proof 2008 open
31 Algebra 5.5 proof 2008 open
32 Geometry 5.5 proof 2016 open
33 Algebra 5.5 proof 2016 open
34 Algebra 5.5 proof 2008 open
35 Algebra 5.5 proof 2008 open
36 Number theory 5.5 proof 2016 open
37 Geometry 5.6 proof 2016 open
38 Geometry 5.6 proof 2008 open
39 Number theory 5.6 proof 2016 open
40 Number theory 5.6 proof 2008 open
41 Combinatorics 5.6 answer 2016 open
42 Combinatorics 5.7 proof 2008 open
43 Number theory 5.7 proof 2008 open
44 Geometry 5.7 proof 2008 open
45 Geometry 5.7 proof 2008 open
46 Geometry 5.7 proof 2008 open
47 Algebra 5.8 proof 2016 open
48 Geometry 5.8 proof 2008 open
49 Geometry 5.8 proof 2016 open
50 Geometry 5.8 proof 2016 open
51 Geometry 5.9 proof 2008 open
52 Algebra 5.9 proof 2008 open
53 Algebra 5.9 proof 2016 open
54 Combinatorics 6.0 proof 2008 open
55 Number theory 6.1 proof 2008 open
56 Number theory 6.1 proof 2008 open
57 Algebra 6.1 proof 2008 open
58 Geometry 6.2 proof 2008 open
59 Geometry 6.2 proof 2008 open
60 Geometry 6.2 proof 2008 open
61 Geometry 6.3 proof 2008 open
62 Algebra 6.3 proof 2008 open
63 Combinatorics 6.5 proof 2016 open
64 Geometry 6.5 proof 2008 open
65 Combinatorics 6.5 proof 2016 open
66 Combinatorics 6.5 proof 2016 open
67 Combinatorics 6.7 proof 2008 open
68 Geometry 6.7 proof 2008 open
69 Geometry 6.7 proof 2016 open
70 Number theory 6.8 proof 2008 open
71 Geometry 6.8 proof 2016 open
72 Combinatorics 7.2 proof 2008 open
73 Combinatorics 7.3 proof 2008 open
74 Number theory 7.8 proof 2016 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.