Maths Olympiad Prep

Library /Turkey — Team Selection Test

Turkey — Team Selection Test

66 problems here, rated 7.4 to 9 on our scale (National Olympiad, round 2 to IMO level). 66 of them ask for a proof.

Algebra 13Combinatorics 21Geometry 22Number theory 10
#TopicDiffTypeYear
1 Combinatorics 7.4 proof — open
2 Combinatorics 7.5 proof — open
3 Number theory 7.5 proof — open
4 Number theory 7.5 proof — open
5 Geometry 7.5 proof — open
6 Algebra 7.5 proof — open
7 Algebra 7.6 proof — open
8 Geometry 7.6 proof — open
9 Number theory 7.6 proof — open
10 Combinatorics 7.6 proof — open
11 Geometry 7.6 proof — open
12 Number theory 7.7 proof — open
13 Geometry 7.7 proof — open
14 Combinatorics 7.7 proof — open
15 Algebra 7.8 proof — open
16 Algebra 7.8 proof — open
17 Algebra 7.8 proof — open
18 Combinatorics 7.8 proof — open
19 Algebra 7.8 proof — open
20 Combinatorics 7.8 proof — open
21 Algebra 7.8 proof — open
22 Combinatorics 7.8 proof — open
23 Number theory 7.8 proof — open
24 Combinatorics 7.9 proof — open
25 Combinatorics 8.0 proof — open
26 Combinatorics 8.0 proof — open
27 Geometry 8.1 proof — open
28 Combinatorics 8.1 proof — open
29 Number theory 8.1 proof — open
30 Number theory 8.1 proof — open
31 Combinatorics 8.1 proof — open
32 Geometry 8.2 proof — open
33 Geometry 8.2 proof — open
34 Algebra 8.2 proof — open
35 Geometry 8.2 proof — open
36 Algebra 8.3 proof — open
37 Geometry 8.3 proof — open
38 Geometry 8.3 proof — open
39 Geometry 8.3 proof — open
40 Geometry 8.3 proof — open
41 Number theory 8.4 proof — open
42 Combinatorics 8.4 proof — open
43 Geometry 8.4 proof — open
44 Geometry 8.4 proof — open
45 Geometry 8.4 proof — open
46 Combinatorics 8.4 proof — open
47 Geometry 8.4 proof — open
48 Geometry 8.4 proof — open
49 Combinatorics 8.4 proof — open
50 Algebra 8.4 proof — open
51 Geometry 8.5 proof — open
52 Algebra 8.5 proof — open
53 Geometry 8.5 proof — open
54 Algebra 8.5 proof — open
55 Algebra 8.6 proof — open
56 Combinatorics 8.6 proof — open
57 Combinatorics 8.6 proof — open
58 Number theory 8.6 proof — open
59 Geometry 8.7 proof — open
60 Combinatorics 8.7 proof — open
61 Combinatorics 8.7 proof — open
62 Combinatorics 8.8 proof — open
63 Combinatorics 8.8 proof — open
64 Number theory 8.9 proof — open
65 Geometry 8.9 proof — open
66 Geometry 9.0 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.