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.