Maths Olympiad Prep

Library /Turkey — Team Selection Test

Turkey — Team Selection Test

50 problems here, rated 7.2 to 8.9 on our scale (National Olympiad, round 2 to Shortlist). 50 of them ask for a proof.

Algebra 12Combinatorics 17Geometry 12Number theory 9
#TopicDiffTypeYear
1 Algebra 7.2 proof — open
2 Number theory 7.3 proof — open
3 Combinatorics 7.4 proof — open
4 Combinatorics 7.5 proof — open
5 Number theory 7.5 proof — open
6 Geometry 7.5 proof — open
7 Number theory 7.5 proof — open
8 Algebra 7.5 proof — open
9 Algebra 7.6 proof — open
10 Geometry 7.6 proof — open
11 Number theory 7.6 proof — open
12 Combinatorics 7.6 proof — open
13 Geometry 7.6 proof — open
14 Number theory 7.7 proof — open
15 Algebra 7.7 proof — open
16 Geometry 7.7 proof — open
17 Combinatorics 7.7 proof — open
18 Algebra 7.8 proof — open
19 Algebra 7.8 proof — open
20 Algebra 7.8 proof — open
21 Combinatorics 7.8 proof — open
22 Algebra 7.8 proof — open
23 Combinatorics 7.8 proof — open
24 Algebra 7.8 proof — open
25 Combinatorics 7.8 proof — open
26 Number theory 7.8 proof — open
27 Combinatorics 7.9 proof — open
28 Combinatorics 8.0 proof — open
29 Combinatorics 8.0 proof — open
30 Combinatorics 8.0 proof — open
31 Geometry 8.1 proof — open
32 Combinatorics 8.1 proof — open
33 Number theory 8.1 proof — open
34 Algebra 8.2 proof — open
35 Algebra 8.3 proof — open
36 Geometry 8.3 proof — open
37 Geometry 8.3 proof — open
38 Geometry 8.3 proof — open
39 Geometry 8.4 proof — open
40 Combinatorics 8.4 proof — open
41 Geometry 8.4 proof — open
42 Combinatorics 8.4 proof — open
43 Geometry 8.5 proof — open
44 Algebra 8.5 proof — open
45 Combinatorics 8.6 proof — open
46 Number theory 8.6 proof — open
47 Combinatorics 8.7 proof — open
48 Combinatorics 8.8 proof — open
49 Number theory 8.9 proof — open
50 Geometry 8.9 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.