Every solver hits a wall. Usually the next move is there; you’re just looking at the wrong part of the board or asking the wrong question. Here’s a routine for getting moving again.
Sort facts from guesses
Fixed clues are facts. Your marks and half-drawn routes might be facts too, or they might be hunches you’ve forgotten were hunches. If you’ve made moves you can’t explain, undo back to the last point you were sure of. Undo takes you back one step at a time without throwing away the rest of the board.
Change the question
If you’ve been staring at rows, switch to columns. In Binary, move from counts to no-three patterns to bars and crosses. In Blooms, go from rows to regions to the no-touching rule. In Light Up, stop looking at numbered walls and look for a dark cell that only one light could reach. In Rectangles, pick an uncovered corner and ask which clue could possibly fill it. Each family guide has a worked example of its key move.
In Paths and Ribbons, the trouble is often behind you. If a turn has sealed off an empty cell, the mistake may be several moves back. Find the turn that caused the trap and work out why before you redraw.
In Bridges, compare how many bridges an island still needs with how many it can still get, and check whether finishing a group would cut it off. In Mini Sudoku, switch between rows, columns and boxes. A number with three possible places in a row might have only one in its box.
Use a hint as a nudge
If a fresh look still turns up nothing, ask for a hint, and read it before you act on it. If it explains a rule, look at how that rule applies to the highlighted cells. If it shows a move from the solution, use that move as a foothold for your next deduction. Sometimes a hint points at an earlier mistake rather than an empty cell. Fixing that counts as progress too.
Or come back later
Walking away works more often than you’d think, even if it means starting the board again. Unfinished moves aren’t saved when you leave a board, but fresh eyes on a fresh start are often quicker anyway. Library and Weekly puzzles will still be there, and Daily Calm lets you stop between boards. Race is different: its clock keeps running, so choose a way to play that fits the time you have.