Imagine a small chess board, 3 x 3. If you place a knight on the top left hand corner, how many different squares can the knight reach in less than 4 moves?

Answer 1

I assume you mean 3 squares by 3 squares. If in 3 moves (3 < 4.), he can go to middle bottom, upper right and middle left — or he can go middle right, left bottom and middle top. Are you assuming just one of these alternatives or both?