Maths Olympiad Daily Problems

here are results with the answer key if you find that your marks are miscalculated, contact me. the marking process was completely automated in excel, so if your answer format was stored as text or had an api error, your marks may be wrong. very disappointing marks considering the level of paper in this paper cutoff would be around group A: 36 group B: 48 the solns to the paper wil be posted along with the algebra mock on sunday.

Sup everyone am making a mock IOQM paper too, don't worry I don't know the answer of any and am gonna attempt it along with ya guys lol. Looking at the pace, expect the paper to be sent across by the next week or so.

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For any positive integer a, σ(a) denotes the sum of the positive integer divisors of a. Let n be the least positive integer such that σ(a^n) – 1 is divisible by 2021 for all positive integers a. If the sum of the prime factors in the prime factorization of n is M, then find M/5

Hello, guys, the mock has officially ended. The results will be sent via email by Thursday. Only 13 responses, I guess people have yet to finish the syllabus. So the next mock will again be on Sunday(14/06/2026). The next one will be subject-based on algebra. 30 algebra questions of the IOQM pattern. Be ready and sharpen your algebra skills.

Guys, how will you prove that (4^n)-3n-1 is always divisible by 9 for n belongs to positive integer?

Beautiful question

Sup everyone am making a mock IOQM paper too, don't worry I don't know the answer of any and am gonna attempt it along with ya guys lol. Looking at the pace, expect the paper to be sent across by the next week or so.

Last few problems from Utkarsh badmosh 🔪🔪🔪