The most valuable endgame knowledge is a small set: how to mate with a king and queen or two rooks, the rule of the square for pawn promotion, the concept of opposition in king and pawn endings, and how to win the common rook and pawn endings. These come up constantly and are decided by technique rather than calculation.
Endgames are where technique shows. The positions repeat, the answers are knowable, and a small amount of theory converts points that would otherwise be thrown away. It is the highest return per hour of study in chess.
Start with the mates
You cannot win an endgame you cannot finish. A king and queen against a lone king, and a king and rook against a lone king, should be automatic. The method is the same in both: drive the defending king to the edge with your piece, then bring your king close to deliver mate.
- King and queen against king: use the queen to restrict, never to check pointlessly.
- King and rook against king: the rook cuts off ranks and files while the king approaches.
- Two rooks against king: alternate checks to drive the king to the edge, then mate.
- Beware of stalemate. It is the most common way a completely winning position turns into a draw.
King and pawn against king
This is the foundation of all pawn endgames, and it has two ideas worth learning properly.
The rule of the square is a counting shortcut for whether a king can catch a running pawn. Draw a square whose side is the number of squares the pawn needs to promote, and if the defending king is inside that square, or can step into it, the pawn is caught. If not, it promotes.
Opposition is about which king must move first when they face each other with one square between them. The king that is not forced to move controls the key squares, and in pawn endings that single tempo is often the whole game.
Rook endings
Rook and pawn endings are the most common in practice, and a few rules cover most of them.
- Put your rook behind the passed pawn, whether it is yours or your opponent's.
- An active rook is worth more than a pawn in many positions. Cutting the enemy king off is often stronger than defending passively.
- In many rook endings the weaker side draws by checking from behind or by reaching a position where the defending king stands in front of the pawn.
- Two connected passed pawns on the sixth rank beat a rook, which is worth remembering when you are the one defending.
Converting a material advantage
- Activate your king before anything else.
- Improve your worst-placed piece. The endgame is usually won by fixing the piece doing nothing.
- Create a passed pawn, ideally outside the main action, so the defender must choose what to abandon.
- Trade pieces rather than pawns when you are ahead in material.
- Do not rush. There is no clock in analysis, and most lost wins happen from a hasty pawn push.