The Maths League - [OCL] - [IOQM, RMO, INMO, IMO, ISI, CMI, AMC, AIME]

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IMO DAY 2 Problems Out!

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IMO DAY 1 Enjoy folks

🌐 International Youth Math Challenge (IYMC) 2026 – Registration Open! ✨

🔹️ Eligibility: High school and university students from any country.

📅 Competition Schedule: 🔹️ Qualification Round: Submit solutions by 27 September 2026 🔹️ Pre-Final Round: November 2026 (60-minute online exam) 🔹️ Final Round: December 2026 (Online supervised exam)

💰 Registration Fee: 🔹️ Qualification Round: Free 🔹️ Pre-Final Round: €15 (Financial aid available for eligible participants)

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@MathsOCL

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Try:- 3- 5 Marker level Problem:- Let ABC be a right triangle with < BAC=90. Let P and Q be points satisfying

Source: ICO Advanced & Free Levels October 2025 Problem 1

Try this

Cozy the Cat and Dash the Dog are going up a staircase with a certain number of steps. However, instead of walking up the steps one at a time, both Cozy and Dash jump. Cozy goes two steps up with each jump (though if necessary, he will just jump the last step). Dash goes five steps up with each jump (though if necessary, he will just jump the last steps if there are fewer than 5 steps left). Suppose that Dash takes 19 fewer jumps than Cozy to reach the top of the staircase. Let s s denote the sum of all possible numbers of steps this staircase can have. What is the sum of the digits of s easy but fun