Maths Olympiad Prep

Library /Turkish Mathematical Olympiad

Turkish Mathematical Olympiad

48 problems here, rated 5 to 7.9 on our scale (AIME, harder to National Olympiad, round 2). 48 of them ask for a proof.

Algebra 8Combinatorics 16Geometry 17Number theory 7
#TopicDiffTypeYear
1 Algebra 5.0 proof — open
2 Algebra 5.0 proof — open
3 Number theory 5.4 proof — open
4 Geometry 5.4 proof — open
5 Geometry 5.5 proof — open
6 Combinatorics 5.6 proof — open
7 Number theory 5.6 proof — open
8 Geometry 5.7 proof — open
9 Algebra 5.7 proof — open
10 Geometry 5.8 proof — open
11 Number theory 5.8 proof — open
12 Geometry 5.9 proof — open
13 Algebra 5.9 proof — open
14 Algebra 5.9 proof — open
15 Algebra 6.0 proof — open
16 Algebra 6.0 proof — open
17 Number theory 6.0 proof — open
18 Algebra 6.0 proof — open
19 Combinatorics 6.3 proof — open
20 Geometry 6.4 proof — open
21 Number theory 6.5 proof — open
22 Geometry 6.5 proof — open
23 Geometry 6.5 proof — open
24 Combinatorics 6.5 proof — open
25 Geometry 6.6 proof — open
26 Combinatorics 6.7 proof — open
27 Geometry 6.7 proof — open
28 Number theory 6.8 proof — open
29 Geometry 6.8 proof — open
30 Combinatorics 6.8 proof — open
31 Geometry 6.9 proof — open
32 Combinatorics 6.9 proof — open
33 Geometry 6.9 proof — open
34 Combinatorics 6.9 proof — open
35 Combinatorics 6.9 proof — open
36 Geometry 7.0 proof — open
37 Combinatorics 7.1 proof — open
38 Combinatorics 7.1 proof — open
39 Geometry 7.3 proof — open
40 Combinatorics 7.4 proof — open
41 Combinatorics 7.4 proof — open
42 Combinatorics 7.5 proof — open
43 Geometry 7.5 proof — open
44 Number theory 7.6 proof — open
45 Combinatorics 7.6 proof — open
46 Geometry 7.8 proof — open
47 Combinatorics 7.9 proof — open
48 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.