Maths Olympiad Daily Problems

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.

shaded area=?

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 🔪🔪🔪