Maths Olympiad Prep

Library /Turkish Mathematical Olympiad

Turkish Mathematical Olympiad

47 problems here, rated 5 to 7.9 on our scale (AIME, harder to National Olympiad, round 2). 47 of them ask for a proof.

Algebra 7Combinatorics 16Geometry 17Number theory 7
#TopicDiffTypeYear
1 Algebra 5.0 proof — open
2 Number theory 5.4 proof — open
3 Geometry 5.4 proof — open
4 Geometry 5.5 proof — open
5 Combinatorics 5.6 proof — open
6 Number theory 5.6 proof — open
7 Geometry 5.7 proof — open
8 Algebra 5.7 proof — open
9 Geometry 5.8 proof — open
10 Number theory 5.8 proof — open
11 Geometry 5.9 proof — open
12 Algebra 5.9 proof — open
13 Algebra 5.9 proof — open
14 Algebra 6.0 proof — open
15 Algebra 6.0 proof — open
16 Number theory 6.0 proof — open
17 Algebra 6.0 proof — open
18 Combinatorics 6.3 proof — open
19 Geometry 6.4 proof — open
20 Number theory 6.5 proof — open
21 Geometry 6.5 proof — open
22 Geometry 6.5 proof — open
23 Combinatorics 6.5 proof — open
24 Geometry 6.6 proof — open
25 Combinatorics 6.7 proof — open
26 Geometry 6.7 proof — open
27 Number theory 6.8 proof — open
28 Geometry 6.8 proof — open
29 Combinatorics 6.8 proof — open
30 Geometry 6.9 proof — open
31 Combinatorics 6.9 proof — open
32 Geometry 6.9 proof — open
33 Combinatorics 6.9 proof — open
34 Combinatorics 6.9 proof — open
35 Geometry 7.0 proof — open
36 Combinatorics 7.1 proof — open
37 Combinatorics 7.1 proof — open
38 Geometry 7.3 proof — open
39 Combinatorics 7.4 proof — open
40 Combinatorics 7.4 proof — open
41 Combinatorics 7.5 proof — open
42 Geometry 7.5 proof — open
43 Number theory 7.6 proof — open
44 Combinatorics 7.6 proof — open
45 Geometry 7.8 proof — open
46 Combinatorics 7.9 proof — open
47 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.