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Whether you’re just playing around or a master of games, see how mathematical and logical ideas can be combined to analyze games from tic-tac-toe to Nim.

It is X's turn. Can X win?

(NOTE: Unless stated otherwise, every problem in this quiz will assume optimal play.)

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It is O's turn. Can O win?

(NOTE: Unless stated otherwise, every problem in this quiz will assume optimal play.)

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White and Black are placing stones game of gomoku (five-in-a-row). Five connected stones of the same color in a row, column, or diagonal win.

The last two moves are shown; it is White's move. Where can White play to win?

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In this game four-in-a-row wins. It is O's turn. Where should O move to win?

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