From Chess Fundamentals by José Raúl Capablanca (1921), Chapter 1 — First Principles, Example 4 (Queen and King against King) · Beginner · about 3 minutes.
The queen combines rook and bishop, so this is the easiest of the elementary mates — Capablanca expected it done in under ten moves from anywhere. His method from a central position: the queen moves first and simply takes squares away, no checks, until the king is pinned to the edge; only then does White's king walk over to help deliver the mate. Compare our earlier queen-mate lesson, which showed the knight's-distance box — two roads to the same finish.
Starting position (FEN): 8/8/8/4k3/8/8/8/4K2Q w - - 0 1
With the queen: shrink first, check last. Quiet queen moves that steal squares beat checks that chase — and once the defending king is down to one or two squares, slow down and count them: stalemate is the only trap left.
Play this lesson move by move on the interactive board at https://www.brilliantknight.com/lessons/chess-fundamentals-first-principles/queen-mate-squeeze-then-step-in · All lessons