Maths Olympiad Prep

Library /Turkey — Team Selection Test

Turkey — Team Selection Test

73 problems here, rated 7.2 to 9 on our scale (National Olympiad, round 2 to IMO level). 73 of them ask for a proof.

Algebra 16Combinatorics 22Geometry 23Number theory 12
#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 Number theory 7.5 proof — open
7 Geometry 7.5 proof — open
8 Number theory 7.5 proof — open
9 Algebra 7.5 proof — open
10 Algebra 7.6 proof — open
11 Geometry 7.6 proof — open
12 Number theory 7.6 proof — open
13 Combinatorics 7.6 proof — open
14 Geometry 7.6 proof — open
15 Number theory 7.7 proof — open
16 Algebra 7.7 proof — open
17 Geometry 7.7 proof — open
18 Combinatorics 7.7 proof — open
19 Algebra 7.8 proof — open
20 Algebra 7.8 proof — open
21 Algebra 7.8 proof — open
22 Combinatorics 7.8 proof — open
23 Algebra 7.8 proof — open
24 Combinatorics 7.8 proof — open
25 Algebra 7.8 proof — open
26 Combinatorics 7.8 proof — open
27 Number theory 7.8 proof — open
28 Combinatorics 7.9 proof — open
29 Combinatorics 8.0 proof — open
30 Combinatorics 8.0 proof — open
31 Combinatorics 8.0 proof — open
32 Geometry 8.1 proof — open
33 Geometry 8.1 proof — open
34 Combinatorics 8.1 proof — open
35 Number theory 8.1 proof — open
36 Number theory 8.1 proof — open
37 Combinatorics 8.1 proof — open
38 Geometry 8.2 proof — open
39 Geometry 8.2 proof — open
40 Algebra 8.2 proof — open
41 Geometry 8.2 proof — open
42 Algebra 8.3 proof — open
43 Geometry 8.3 proof — open
44 Geometry 8.3 proof — open
45 Geometry 8.3 proof — open
46 Geometry 8.3 proof — open
47 Number theory 8.4 proof — open
48 Combinatorics 8.4 proof — open
49 Geometry 8.4 proof — open
50 Geometry 8.4 proof — open
51 Geometry 8.4 proof — open
52 Combinatorics 8.4 proof — open
53 Geometry 8.4 proof — open
54 Geometry 8.4 proof — open
55 Combinatorics 8.4 proof — open
56 Algebra 8.4 proof — open
57 Geometry 8.5 proof — open
58 Algebra 8.5 proof — open
59 Geometry 8.5 proof — open
60 Algebra 8.5 proof — open
61 Algebra 8.6 proof — open
62 Combinatorics 8.6 proof — open
63 Combinatorics 8.6 proof — open
64 Number theory 8.6 proof — open
65 Geometry 8.7 proof — open
66 Combinatorics 8.7 proof — open
67 Algebra 8.7 proof — open
68 Combinatorics 8.7 proof — open
69 Combinatorics 8.8 proof — open
70 Combinatorics 8.8 proof — open
71 Number theory 8.9 proof — open
72 Geometry 8.9 proof — open
73 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.