Maths Olympiad Prep

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International Mathematical Olympiad

106 problems here, rated 7.1 to 9.2 on our scale (National olympiad, round 2 to IMO level). 45 of them ask for a proof.

Algebra 36Combinatorics 24Geometry 23Number theory 23
#TopicDiffTypeYear
1 Number theory 7.1 answer — open
2 Algebra 7.1 answer — open
3 Number theory 7.2 answer — open
4 Algebra 7.5 answer — open
5 Algebra 7.5 answer — open
6 Combinatorics 7.5 answer — open
7 Number theory 7.6 answer — open
8 Combinatorics 7.6 answer — open
9 Number theory 7.6 answer — open
10 Number theory 7.7 answer — open
11 Geometry 7.7 proof — open
12 Number theory 7.7 answer — open
13 Number theory 7.7 answer — open
14 Number theory 7.8 proof — open
15 Geometry 7.8 proof — open
16 Number theory 7.8 answer — open
17 Number theory 7.8 answer — open
18 Number theory 7.9 answer — open
19 Algebra 7.9 proof — open
20 Combinatorics 7.9 proof — open
21 Algebra 7.9 proof — open
22 Algebra 7.9 answer — open
23 Algebra 8.0 answer — open
24 Algebra 8.0 answer — open
25 Algebra 8.0 proof — open
26 Geometry 8.1 answer — open
27 Algebra 8.1 answer — open
28 Algebra 8.1 proof — open
29 Algebra 8.1 answer — open
30 Combinatorics 8.1 answer — open
31 Algebra 8.1 answer — open
32 Algebra 8.1 answer — open
33 Number theory 8.1 answer — open
34 Combinatorics 8.1 answer — open
35 Algebra 8.2 answer — open
36 Algebra 8.2 answer — open
37 Geometry 8.2 proof — open
38 Number theory 8.2 answer — open
39 Algebra 8.2 answer — open
40 Combinatorics 8.2 proof — open
41 Geometry 8.3 answer — open
42 Algebra 8.3 answer — open
43 Combinatorics 8.3 answer — open
44 Number theory 8.3 answer — open
45 Algebra 8.3 answer — open
46 Algebra 8.3 answer — open
47 Number theory 8.4 proof — open
48 Algebra 8.4 answer — open
49 Geometry 8.4 proof — open
50 Geometry 8.4 proof — open
51 Number theory 8.4 answer — open
52 Algebra 8.4 answer — open
53 Geometry 8.4 answer — open
54 Algebra 8.4 answer — open
55 Algebra 8.4 answer — open
56 Geometry 8.4 proof — open
57 Geometry 8.4 proof — open
58 Number theory 8.4 proof — open
59 Geometry 8.4 proof — open
60 Algebra 8.4 proof — open
61 Geometry 8.5 proof — open
62 Combinatorics 8.5 answer — open
63 Algebra 8.5 answer — open
64 Geometry 8.5 answer — open
65 Combinatorics 8.5 answer — open
66 Combinatorics 8.5 answer — open
67 Algebra 8.5 answer — open
68 Number theory 8.5 proof — open
69 Number theory 8.5 proof — open
70 Geometry 8.5 proof — open
71 Geometry 8.6 proof — open
72 Geometry 8.6 proof — open
73 Algebra 8.6 proof — open
74 Algebra 8.6 proof — open
75 Number theory 8.6 proof — open
76 Number theory 8.6 answer — open
77 Geometry 8.7 proof — open
78 Algebra 8.7 answer — open
79 Combinatorics 8.7 answer — open
80 Algebra 8.7 answer — open
81 Algebra 8.7 proof — open
82 Geometry 8.7 proof — open
83 Algebra 8.7 answer — open
84 Algebra 8.7 answer — open
85 Number theory 8.8 proof — open
86 Combinatorics 8.8 answer — open
87 Algebra 8.8 proof — open
88 Combinatorics 8.8 proof — open
89 Geometry 8.8 proof — open
90 Combinatorics 8.8 answer — open
91 Geometry 8.8 proof — open
92 Geometry 8.8 proof — open
93 Combinatorics 8.8 answer — open
94 Number theory 8.8 proof — open
95 Geometry 8.8 proof — open
96 Combinatorics 8.9 proof — open
97 Combinatorics 8.9 answer — open
98 Geometry 8.9 answer — open
99 Combinatorics 9.0 proof — open
100 Algebra 9.0 proof — open
101 Combinatorics 9.0 answer — open
102 Combinatorics 9.1 proof — open
103 Combinatorics 9.1 answer — open
104 Combinatorics 9.1 proof — open
105 Combinatorics 9.2 proof — open
106 Combinatorics 9.2 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.