Chess notation cheat-sheet (for new readers)
Pieces: K king · Q queen · R rook · B bishop · N knight · (a pawn move has no letter)
Actions: x takes · + check · # mate · O-O short castles · O-O-O long castles · e8=Q pawn promotes to queen
Annotations: ! good move · !! brilliant · ? mistake · ?? blunder
Reading the board for a squeeze before you commit
In these puzzles your job is to engineer the moment when your opponent must move and every move loses ground. That compulsion to move is the lever you are pulling. So the first thing to scan for is whose pieces are running out of safe squares. Look at the enemy king: is it pinned to a couple of squares it has to keep covering? Look at their pawns: would a forced advance abandon a square you want, or expose a passer of yours? Look for any piece tied to a defender that would have to step away if it had to move.
Once you spot a side that is one tempo from having nothing useful left, count the moves. Who runs out first? If it is the opponent and you can keep the position frozen, the winning idea is usually to do nothing that helps them and let the turn fall back on them. That counting habit is what these positions train.
Spotting opposition and trebuchet shapes in king-and-pawn puzzles
Most squeezes in this set show up with few pieces on the board, because that is where neither side has a spare move to burn. Train your eye on a handful of shapes. When two kings stand a square apart with nothing between them, ask who has to give way first, since the side forced to step aside loses the square a pawn needs. When a single pawn faces off and both kings hover over it, you are looking at the standoff where the player on the move simply drops it. When the position would be fine for the opponent if only they could pass, that is the shape to play for.
The positions come from real games and are computer-checked, so the win you find is the win that holds. I keep the rating slider near a level where most positions land at a true solve, then push it up once these king shapes start jumping out without counting. Three free hints wait when a position locks up: the first names the motif, the second points to the piece, the third gives the move.
Drilling the pass-the-move reflex: triangulation and waiting moves
Plenty of puzzles here are already winning except that the wrong side is to move, and the whole solve is handing the move back without changing anything else. When you see that, stop hunting for a combination and start hunting for a quiet move that does no harm. A king step into empty space, a single pawn nudge, anything that burns a tempo and keeps your structure intact. Then watch the opponent break first.
Triangulation is the same reflex with a longer path. When a straight waiting move is not available, walk your king on a three-square loop back to where it started, having spent one extra tempo, so the opponent now faces the position you wanted them in. The tell is a king that can reach its square by two routes while the enemy king has only one. Drill enough of these and you stop calculating the pass and just feel which move keeps everything still.