The IMO Begins

Hints

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During the actual 2021 hunt, teams could spend patience tokens to purchase hints. The costs are shown below for historical interest, but they have no effect here. Click any answer to reveal it.

Q1. How long is the answer? (cost: 15)

The answer is 10 letters long.

Q2. Which day in each calendar should I be looking at? (cost: 25)

There is exactly one filled row and one filled column, so think about where they meet.

Q3. What is up with the months? (cost: 25)

Think about the title, and the flavor text.