Maths Olympiad Prep

Library /Philippine Mathematical Olympiad

Philippine Mathematical Olympiad

113 problems here, rated 3.9 to 7.6 on our scale (AMC 10/12 to National Olympiad, round 2). 95 of them ask for a proof.

Algebra 42Combinatorics 14Geometry 33Number theory 24
#TopicDiffTypeYear
1 Combinatorics 3.9 answer — open
2 Combinatorics 4.0 answer — open
3 Number theory 4.0 answer — open
4 Number theory 4.1 answer — open
5 Geometry 4.2 answer — open
6 Algebra 4.2 answer — open
7 Algebra 4.2 answer — open
8 Algebra 4.3 answer — open
9 Algebra 4.4 proof — open
10 Number theory 4.5 answer — open
11 Algebra 4.6 answer — open
12 Algebra 4.6 answer — open
13 Number theory 4.7 answer — open
14 Algebra 4.8 proof — open
15 Geometry 4.8 proof — open
16 Geometry 4.9 proof — open
17 Algebra 4.9 proof — open
18 Number theory 4.9 answer — open
19 Combinatorics 4.9 answer — open
20 Algebra 4.9 answer — open
21 Algebra 4.9 answer — open
22 Algebra 5.0 proof — open
23 Algebra 5.0 proof — open
24 Combinatorics 5.0 proof — open
25 Geometry 5.0 proof — open
26 Geometry 5.0 answer — open
27 Algebra 5.0 proof — open
28 Geometry 5.0 proof — open
29 Combinatorics 5.0 proof — open
30 Number theory 5.0 proof — open
31 Geometry 5.0 proof — open
32 Algebra 5.0 proof — open
33 Geometry 5.1 proof — open
34 Combinatorics 5.1 proof — open
35 Number theory 5.1 proof — open
36 Geometry 5.1 proof — open
37 Number theory 5.1 proof — open
38 Algebra 5.1 proof — open
39 Geometry 5.1 proof — open
40 Geometry 5.1 proof — open
41 Algebra 5.2 proof — open
42 Algebra 5.2 proof — open
43 Number theory 5.2 proof — open
44 Algebra 5.2 proof — open
45 Algebra 5.2 proof — open
46 Algebra 5.2 proof — open
47 Algebra 5.2 proof — open
48 Geometry 5.2 proof — open
49 Geometry 5.2 proof — open
50 Geometry 5.2 proof — open
51 Combinatorics 5.2 proof — open
52 Algebra 5.2 proof — open
53 Algebra 5.3 proof — open
54 Combinatorics 5.3 answer — open
55 Number theory 5.3 proof — open
56 Number theory 5.3 proof — open
57 Geometry 5.3 proof — open
58 Algebra 5.3 proof — open
59 Algebra 5.3 proof — open
60 Number theory 5.3 proof — open
61 Algebra 5.3 proof — open
62 Algebra 5.3 proof — open
63 Number theory 5.3 proof — open
64 Algebra 5.3 proof — open
65 Number theory 5.3 proof — open
66 Geometry 5.4 proof — open
67 Algebra 5.4 proof — open
68 Algebra 5.4 proof — open
69 Algebra 5.4 proof — open
70 Number theory 5.4 proof — open
71 Algebra 5.4 proof — open
72 Geometry 5.5 proof — open
73 Geometry 5.5 proof — open
74 Number theory 5.5 proof — open
75 Number theory 5.6 proof — open
76 Algebra 5.6 proof — open
77 Geometry 5.6 proof — open
78 Algebra 5.6 proof — open
79 Geometry 5.7 proof — open
80 Geometry 5.7 proof — open
81 Number theory 5.7 proof — open
82 Combinatorics 5.7 proof — open
83 Geometry 5.7 proof — open
84 Geometry 5.8 proof — open
85 Number theory 5.9 proof — open
86 Algebra 6.0 proof — open
87 Number theory 6.0 proof — open
88 Combinatorics 6.0 proof — open
89 Number theory 6.0 proof — open
90 Geometry 6.0 proof — open
91 Geometry 6.1 proof — open
92 Number theory 6.1 proof — open
93 Geometry 6.2 proof — open
94 Geometry 6.2 proof — open
95 Algebra 6.3 proof — open
96 Number theory 6.3 proof — open
97 Algebra 6.4 proof — open
98 Geometry 6.4 proof — open
99 Combinatorics 6.5 proof — open
100 Combinatorics 6.5 proof — open
101 Algebra 6.7 proof — open
102 Algebra 6.7 proof — open
103 Combinatorics 6.7 proof — open
104 Geometry 6.8 proof — open
105 Combinatorics 6.9 proof — open
106 Geometry 6.9 proof — open
107 Number theory 7.0 proof — open
108 Geometry 7.1 proof — open
109 Algebra 7.2 proof — open
110 Geometry 7.2 proof — open
111 Algebra 7.4 proof — open
112 Geometry 7.5 proof — open
113 Algebra 7.6 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.