Maths Olympiad Prep

Library /Greece — Selection Examination

Greece — Selection Examination

68 problems here, rated 4.5 to 7.8 on our scale (AIME to National Olympiad, round 2). 68 of them ask for a proof.

Algebra 19Combinatorics 14Geometry 21Number theory 14
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Geometry 4.7 proof — open
3 Algebra 4.7 proof — open
4 Number theory 4.7 proof — open
5 Algebra 4.7 proof — open
6 Algebra 5.0 proof — open
7 Geometry 5.0 proof — open
8 Number theory 5.1 proof — open
9 Geometry 5.1 proof — open
10 Combinatorics 5.1 proof — open
11 Algebra 5.1 proof — open
12 Geometry 5.2 proof 2019 open
13 Geometry 5.3 proof — open
14 Algebra 5.3 proof — open
15 Number theory 5.3 proof — open
16 Geometry 5.3 proof — open
17 Combinatorics 5.4 proof — open
18 Number theory 5.4 proof — open
19 Geometry 5.5 proof — open
20 Geometry 5.5 proof — open
21 Algebra 5.5 proof 2019 open
22 Number theory 5.5 proof — open
23 Number theory 5.6 proof — open
24 Number theory 5.6 proof — open
25 Combinatorics 5.7 proof — open
26 Number theory 5.7 proof — open
27 Number theory 5.7 proof — open
28 Number theory 5.8 proof 2019 open
29 Algebra 5.9 proof — open
30 Number theory 5.9 proof — open
31 Algebra 5.9 proof — open
32 Algebra 6.0 proof — open
33 Combinatorics 6.0 proof — open
34 Algebra 6.0 proof — open
35 Algebra 6.0 proof 2019 open
36 Number theory 6.0 proof — open
37 Number theory 6.0 proof 2019 open
38 Algebra 6.0 proof — open
39 Geometry 6.1 proof — open
40 Algebra 6.1 proof — open
41 Geometry 6.2 proof — open
42 Algebra 6.2 proof — open
43 Geometry 6.2 proof — open
44 Algebra 6.3 proof — open
45 Geometry 6.4 proof — open
46 Number theory 6.4 proof — open
47 Combinatorics 6.4 proof — open
48 Geometry 6.5 proof — open
49 Geometry 6.5 proof 2019 open
50 Geometry 6.5 proof — open
51 Algebra 6.5 proof — open
52 Geometry 6.5 proof — open
53 Combinatorics 6.6 proof — open
54 Algebra 6.6 proof — open
55 Geometry 6.6 proof — open
56 Combinatorics 6.7 proof — open
57 Combinatorics 6.8 proof 2019 open
58 Geometry 6.9 proof — open
59 Combinatorics 7.0 proof — open
60 Combinatorics 7.0 proof — open
61 Algebra 7.0 proof 2019 open
62 Combinatorics 7.1 proof — open
63 Geometry 7.2 proof — open
64 Geometry 7.3 proof — open
65 Algebra 7.3 proof — open
66 Combinatorics 7.3 proof — open
67 Combinatorics 7.8 proof — open
68 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.