1590s, pusle "bewilder, confound," possibly frequentative of pose (v.) in obsolete sense of "perplex" (compare nuzzle from nose). Related: Puzzled; puzzling.
c. 1600, "state of being puzzled," from puzzle (v.); meaning "perplexing question" is from 1650s; that of "a toy contrived to test one's ingenuity" is from 1814.
We puzzled over her sudden departure
he loved to solve chessmate puzzles