Maths Olympiad Prep

Library /Macedonian Mathematical Competitions

Macedonian Mathematical Competitions

80 problems here, rated 3.6 to 6.7 on our scale (AMC 10/12 to National Olympiad). 68 of them ask for a proof.

Algebra 28Geometry 39Number theory 13
#TopicDiffTypeYear
1 Geometry 3.6 answer — open
2 Geometry 3.6 answer — open
3 Algebra 3.8 answer — open
4 Algebra 3.8 answer — open
5 Algebra 3.9 answer — open
6 Number theory 3.9 answer — open
7 Algebra 3.9 answer — open
8 Algebra 3.9 answer — open
9 Algebra 4.0 answer — open
10 Algebra 4.0 answer — open
11 Algebra 4.0 proof — open
12 Algebra 4.0 answer — open
13 Algebra 4.2 answer — open
14 Algebra 4.2 proof — open
15 Number theory 4.4 proof — open
16 Geometry 4.4 proof — open
17 Geometry 4.5 proof — open
18 Geometry 4.5 proof — open
19 Geometry 4.5 proof — open
20 Number theory 4.5 proof — open
21 Geometry 4.5 proof — open
22 Number theory 4.6 proof — open
23 Number theory 4.6 proof — open
24 Geometry 4.6 proof — open
25 Geometry 4.6 proof — open
26 Geometry 4.6 proof — open
27 Geometry 4.7 proof — open
28 Geometry 4.7 proof — open
29 Geometry 4.7 proof — open
30 Geometry 4.7 proof — open
31 Number theory 4.7 proof — open
32 Geometry 4.8 proof — open
33 Geometry 4.8 proof — open
34 Geometry 4.8 proof — open
35 Algebra 4.8 proof — open
36 Number theory 4.8 proof — open
37 Algebra 4.9 proof — open
38 Algebra 4.9 proof — open
39 Number theory 4.9 proof — open
40 Algebra 4.9 proof — open
41 Geometry 4.9 proof — open
42 Number theory 4.9 proof — open
43 Geometry 5.0 proof — open
44 Number theory 5.0 proof — open
45 Algebra 5.0 proof — open
46 Algebra 5.0 proof — open
47 Number theory 5.0 proof — open
48 Algebra 5.0 proof — open
49 Geometry 5.1 proof — open
50 Geometry 5.1 proof — open
51 Geometry 5.1 proof — open
52 Number theory 5.1 proof — open
53 Geometry 5.2 proof — open
54 Algebra 5.2 proof — open
55 Algebra 5.2 proof — open
56 Algebra 5.3 proof — open
57 Geometry 5.4 proof — open
58 Algebra 5.4 proof — open
59 Geometry 5.4 proof — open
60 Algebra 5.5 proof — open
61 Geometry 5.5 proof — open
62 Geometry 5.5 proof — open
63 Geometry 5.5 proof — open
64 Geometry 5.5 proof — open
65 Geometry 5.5 proof — open
66 Geometry 5.5 proof — open
67 Geometry 5.6 proof — open
68 Algebra 5.6 proof — open
69 Geometry 5.7 proof — open
70 Geometry 5.7 proof — open
71 Geometry 5.7 proof — open
72 Algebra 5.9 proof — open
73 Algebra 6.0 proof — open
74 Algebra 6.0 proof — open
75 Geometry 6.1 proof — open
76 Geometry 6.2 proof — open
77 Geometry 6.3 proof — open
78 Geometry 6.5 proof — open
79 Algebra 6.6 proof — open
80 Number theory 6.7 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.