Maths Olympiad Prep

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International Mathematical Olympiad

110 problems here, rated 7.1 to 9.2 on our scale (National Olympiad, round 2 to IMO level). 50 of them ask for a proof.

Algebra 37Combinatorics 24Geometry 25Number theory 24
#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 Combinatorics 7.5 answer — open
6 Number theory 7.6 answer — open
7 Combinatorics 7.6 answer — open
8 Number theory 7.6 answer — open
9 Algebra 7.7 proof — 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 Number theory 7.8 answer — open
16 Number theory 7.8 answer — open
17 Number theory 7.9 answer — open
18 Algebra 7.9 proof — open
19 Combinatorics 7.9 proof — open
20 Algebra 7.9 proof — open
21 Algebra 7.9 answer — open
22 Algebra 8.0 answer — open
23 Number theory 8.0 proof — open
24 Algebra 8.0 answer — open
25 Geometry 8.1 answer — open
26 Algebra 8.1 answer — open
27 Algebra 8.1 proof — open
28 Algebra 8.1 answer — open
29 Combinatorics 8.1 answer — open
30 Algebra 8.1 answer — open
31 Algebra 8.1 answer — open
32 Number theory 8.1 answer — open
33 Combinatorics 8.1 answer — open
34 Algebra 8.2 answer — open
35 Algebra 8.2 answer — open
36 Geometry 8.2 proof — open
37 Number theory 8.2 answer — open
38 Algebra 8.2 proof — open
39 Combinatorics 8.2 proof — open
40 Number theory 8.2 proof — open
41 Geometry 8.3 answer — open
42 Algebra 8.3 answer — open
43 Number theory 8.3 answer — open
44 Algebra 8.3 answer — open
45 Algebra 8.3 answer — open
46 Algebra 8.4 answer — open
47 Geometry 8.4 proof — open
48 Geometry 8.4 proof — open
49 Number theory 8.4 answer — open
50 Algebra 8.4 answer — open
51 Geometry 8.4 answer — open
52 Algebra 8.4 answer — open
53 Algebra 8.4 answer — open
54 Geometry 8.4 proof — open
55 Number theory 8.4 proof — open
56 Geometry 8.4 proof — open
57 Algebra 8.4 proof — open
58 Algebra 8.4 answer — open
59 Geometry 8.5 proof — open
60 Combinatorics 8.5 answer — open
61 Algebra 8.5 answer — open
62 Geometry 8.5 answer — open
63 Combinatorics 8.5 answer — open
64 Geometry 8.5 proof — open
65 Combinatorics 8.5 answer — open
66 Algebra 8.5 answer — open
67 Number theory 8.5 proof — open
68 Number theory 8.5 proof — open
69 Geometry 8.5 proof — open
70 Geometry 8.6 proof — open
71 Geometry 8.6 proof — open
72 Algebra 8.6 proof — open
73 Combinatorics 8.6 answer — 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 Algebra 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 Geometry 8.7 proof — open
85 Algebra 8.7 answer — 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 Geometry 8.8 proof — open
95 Number theory 8.8 proof — open
96 Geometry 8.8 proof — open
97 Combinatorics 8.9 proof — open
98 Combinatorics 8.9 answer — open
99 Geometry 8.9 answer — open
100 Number theory 9.0 proof — open
101 Combinatorics 9.0 proof — open
102 Algebra 9.0 proof — open
103 Combinatorics 9.0 answer — open
104 Geometry 9.1 proof — open
105 Combinatorics 9.1 proof — open
106 Combinatorics 9.1 answer — open
107 Combinatorics 9.1 proof — open
108 Combinatorics 9.2 proof — open
109 Combinatorics 9.2 proof — open
110 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.