Maths Olympiad Prep

Library /Greece — Selection Examination

Greece — Selection Examination

61 problems here, rated 4.5 to 7.8 on our scale (AIME to National Olympiad, round 2). 61 of them ask for a proof.

Algebra 17Combinatorics 14Geometry 19Number theory 11
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Geometry 4.7 proof — open
3 Algebra 4.7 proof — open
4 Algebra 4.7 proof — open
5 Algebra 5.0 proof — open
6 Geometry 5.0 proof — open
7 Number theory 5.1 proof — open
8 Geometry 5.1 proof — open
9 Combinatorics 5.1 proof — open
10 Algebra 5.1 proof — open
11 Geometry 5.2 proof 2019 open
12 Geometry 5.3 proof — open
13 Algebra 5.3 proof — open
14 Geometry 5.3 proof — open
15 Combinatorics 5.4 proof — open
16 Number theory 5.4 proof — open
17 Geometry 5.5 proof — open
18 Geometry 5.5 proof — open
19 Algebra 5.5 proof 2019 open
20 Number theory 5.5 proof — open
21 Number theory 5.6 proof — open
22 Combinatorics 5.7 proof — open
23 Number theory 5.7 proof — open
24 Number theory 5.7 proof — open
25 Number theory 5.8 proof 2019 open
26 Algebra 5.9 proof — open
27 Number theory 5.9 proof — open
28 Algebra 5.9 proof — open
29 Algebra 6.0 proof — open
30 Combinatorics 6.0 proof — open
31 Algebra 6.0 proof — open
32 Algebra 6.0 proof 2019 open
33 Number theory 6.0 proof — open
34 Number theory 6.0 proof 2019 open
35 Algebra 6.0 proof — open
36 Geometry 6.1 proof — open
37 Algebra 6.1 proof — open
38 Geometry 6.2 proof — open
39 Algebra 6.2 proof — open
40 Geometry 6.2 proof — open
41 Algebra 6.3 proof — open
42 Geometry 6.4 proof — open
43 Number theory 6.4 proof — open
44 Combinatorics 6.4 proof — open
45 Geometry 6.5 proof — open
46 Geometry 6.5 proof — open
47 Geometry 6.5 proof — open
48 Combinatorics 6.6 proof — open
49 Algebra 6.6 proof — open
50 Geometry 6.6 proof — open
51 Combinatorics 6.7 proof — open
52 Combinatorics 6.8 proof 2019 open
53 Combinatorics 7.0 proof — open
54 Combinatorics 7.0 proof — open
55 Algebra 7.0 proof 2019 open
56 Combinatorics 7.1 proof — open
57 Geometry 7.2 proof — open
58 Geometry 7.3 proof — open
59 Combinatorics 7.3 proof — open
60 Combinatorics 7.8 proof — open
61 Combinatorics 7.8 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.