Endgame Pitfalls

Yesterday I posted a puzzle that was inspired by a position that arose in one of my games.  The intent of the puzzle was to illustrate the tendency for K+Q vs. K+Bishop's Pawn on the Seventh Rank to result in a draw.  Twice, however, winning combinations were pointed out for the K+Q side arising from some very subtle nuances of the original positions.  It occurred to me that flipping these positions around would make for some very good "play and win" puzzles.  Thanks to Qxe8, LisaV and especially phmilet for showing me the error of my ways.

Without further ado, here are the puzzles:

FYI, here is the original flawed puzzle and resulting discussion: http://www.chess.com/forum/view/more-puzzles/endgame-basics

Nice