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