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POM Problems and Solutions 2025

December 2025 Problems

December 2025 Problems with Hints
December 2025 Solutions

November 2025 Problems

(Correction on Dec 6th to Physics 10pt)
November 2025 Problems with Hints
November 2025 Solutions

October 2025 Problems

October 2025 Problems
October 2025 Solutions

September 2025 Problems

September 2025 Problems
September 2025 Solutions

POM 2025 Public scores:

Total: 102
N Age POM score
1 14 177
2 13 170
3 14 168
4 15 163
5 12 162
6 15 158
7 15 156
8 11 154
9 14 151
10 12 149
11 12 149
12 12 147
13 14 146
14 13 145
15 13 144
16 12 144
17 14 139
18 12 138
19 13 136
20 13 135
21 14 134
22 13 133
23 14 133
24 14 130
25 12 124
26 11 123
27 12 122
28 15 122
29 14 117
30 15 117
31 14 117
32 12 116
33 12 116
34 11 114
35 14 113
36 14 113
37 11 113
38 15 113
39 12 112
40 12 112
41 12 109
42 14 105
43 14 105
44 15 103
45 13 93
46 14 89
47 13 85
48 11 83
49 16 83
50 13 81
51 14 79
52 11 79
53 14 76
54 13 67
55 14 66
56 13 63
57 15 61
58 11 58
59 12 58
60 15 58
61 14 56
62 13 54
63 14 52
64 15 52
65 15 51
66 11 45
67 11 44
68 15 43
69 13 42
70 15 41
71 15 40
72 15 37
73 12 36
74 14 35
75 13 34
76 12 32
77 13 31
78 13 30
79 13 29
80 14 29
81 13 26
82 13 26
83 13 25
84 14 24
85 11 24
86 13 23
87 13 23
88 15 21
89 16 19
90 12 17
91 12 16
92 12 15
93 13 15
94 11 14
95 15 10
96 13 9
97 14 7
98 14 7
99 15 7
100 14 5
101 14 3
102 11 2

POM 2025 Contest Rules:

  • You can join the competition at any time.
  • While solving the problems, you may consult the web, books and other published literature, and may receive help from other people who are not participating in the contest. We ask you to clearly indicate any help you received or sources you consulted in your solutions. You are not allowed to collaborate with other participants (this includes your siblings!).
  • The objective of POM is not to get the most points but instead to learn and get excited about STEM. Therefore, your submission must be written entirely by you, and in your own words. If your submission includes any diagrams, they must be drawn by you (computer software is allowed) and cannot be copied from the Internet. The use of any generative AI (ChatGPT, Claude, DALL-E, Gemini, etc.) is forbidden.
  • You may submit solutions to any number of problems (you can submit more than one problem from the same subject), but only six top scores each month will count towards your total score in the POM Competition.
  • Problems will be posted on the 15th day of each month. We expect your solutions by the 10th day of the next month. Solutions must be uploaded through the website; solutions won't be accepted by email.
  • On the 11th day of the next month, we will be posting hints for some of the problems. We will continue accepting solutions until 14th day of the month; however, solutions posted between days 10 and 14 will only receive 60% of the score. Several days after submissions close, we will release the official solutions for the problems.
  • All submitted solutions will be graded; you will be able to see your score and graders' comments in your account. If you disagree with the graders' decisions you can submit an appeal and your solution with get a second round of consideration.

 

Video Submissions

This year, we are switching to video solutions for POM. Participants will submit a short video explaining their solution.

  • Videos must be at most 2.5 minutes long for 5pt/10pt problems, and at most 6 minutes long for projects.
  • Participants must narrate their solutions; you do not need to show your face. Acceptable formats include:
    • Screensharing a PowerPoint/slides presentation and narrating.
    • Screensharing a drawing app (e.g., Microsoft Paint) and narrating.
    • Recording themselves at a whiteboard, paper, or easel and narrating (you can write the contents of the whiteboard/paper/easel in advance).
    • Speaking directly to the camera.
  • Videos must be submitted as links (uploaded to Google Drive, Youtube, Dropbox, etc.). If you do not cover everything you want in the video, you may submit extra files in the PDF format.
  • For computer science problems, you may be asked to submit code along with a video explaining your submission. The only allowed languages are Python-3 and Java, so please upload a .py or .java file for these problems.