Are you sure? He couldn't have moved the pawn, since the king would be on a7 (not the pawn) and there are no adjacent legal squares for the king. He couldn't have another piece, as it was black's move, not white (so no capturing) Am I missing something?
Mate in 1 puzzles!!
Yes. Last moves could've been Kb6*a7, Kb8*a7, Ka8*a7 (possibly captures) or bxa6 capturing something.
yes, good points! I had overlooked the king haven just been checked, or the pawn capturing from the b-file
This is the prime command when playing a position backward: You can always check your own king but never your opponents king.
You could try the book Chess: 5334 Problems, Combinations, and Games by Laszlo Polgar. There are over 300 Mate-in-One puzzles that get progressively more difficult, and then the book continues with Mate in Two (over 3,000 puzzles), Mate in Three, and then combination puzzles. The book is a bit older so some libraries have a copy of it, or you can get a relatively cheap copy online.
I'm not looking for books, as implied by the OP.
OOPS!! Bh8 is supposed to be Black! Sorry!
1 little buggy removed, 1 little buggy added. Only 1 mate remains, but now there are 2 dark-squared black bishops on a7 and h8!
I know!
Mate in one
Solution in white text (highlight to read):
1. Ng4#
Tries: 1.Ng6+? Qe5+!, 1.Nf3+? (and other moves of this knight) ... Rg3!, 1.Nf6+? Qd5!, 1.Nf4+? Kxe5!, 1.Nb6+? Nd4!, 1.Nxc7+? Kxc7!, 1.Nxe7+? Kxe7!, 1.d8Q+? Rd7!, 1.dxe8N+? (or fxe8N+?) ... Rxe8!, 1.Rxe6+? Kxe6!, 1.Rxc6+? Rxc6!, 1.bxc5+? Kxc5!
Nope, black has 3 legal last moves. Try to find them and learn some about retrograde analysis.