This blog has a really interesting assortment of articles on mathematics and programming. You can use the tags to your right to find topics that interest you, or you may want to have a look at

- the problems I wrote to get your brain working;
- some twitter proofs of mathematical facts.

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Alice and Bob sit across each other, ready for their game of coins. Who will emerge victorious?

Alice and Bob sit down, face to face, with a chessboard in front of them. They are going to play a little game, but this game only has a single knight... Who will win?

Some people are standing quiet in a line, each person with a hat that has one of two colours. How many people can guess their colour correctly?

Alice and Bob are going to be locked away separately and their faith depends on their guessing random coin tosses!

I find the problem in this post rather fun to think about because it is a problem about a game that can actually be played between two players.