Maths Olympiad Daily Problems

Source: ISI UGB 2026 Paper Interesting fun fact: The question 7(b) also appeared in the USAMO 1974 and INMO 1986 papers, and it was repeated again in this year’s ISI paper.

really good problems but hard so try for atleast 2 hours

No one solved it yet, c'mon 🥸

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Let ABC be a triangle with circumcenter O The points D,E,F lie in the interior of the sides BC,AC ,AB respectively. Such that DE is perpendicular to CO,DF is perpendicular to BO (BYINTERIOR WE MEANT FOR EXAMPLE THAT THE POINT D THE LIES ON THE LINE BC AND D IS BETWEEN B AND C ON THAT LINE) LET KE BHI THE SARGAM CENTRE OF TRIANGLE AFE PROVE THAT DK PERPENDICULAR BC

coz graphs are amzing

Hey All can Anyone tell me, How to be good at grpahs ? like how to think graphs even if we are sleeping also?

🛡️Calculus / Functions Q2) A rectangular storage container with an open top has a volume of 10 m³. The length of its base is twice its width. Material for the base costs $10 per square meter; material for the sides costs $6 per square meter. Express the cost of materials as a function of the width of the base C(w).

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