First one was okay, second was flawed
2 sneaky puzzles ;)
Sort:
as long as K stays a6 and moves bishop, then white cannot force this way
Actually the second position is a famous-ish one, called Centurini's position....
I think 1.Ba5 is crucial in the second puzzle because it forces the B to move.
Bd6! Good point 
@kdawg333, Could you please explain how it was flawed?
@milray101, If white's King stays there, then this happens:
@Caiello, Thanks for telling me, I didn't know! And very good analysis, too! :)
@shiro_europa, Black doesn't have to move his king, he could just alternate his bishop.
Actually I did not know why 1. Ba5 failed, so I went to this site where you can play this position out for free against a computer!
http://www.chessvideos.tv/endgame-training/centurinis-position-kbp-vs-k-b-16.php
Here are two sneaky puzzles that I learned at school. Please tally how many incorrect moves you made before you figured out the correct moves! Some of the moves in my second puzzle are alternate correct moves, but it says they are wrong. :( I tried to make it say alternate correct move but it didn't work for some reason. Also, if you need any extra explanation for my puzzles, please tell me!