Find the Winning Move

In each of the problems on this page, there is a clear advantage (mate or material gain) for the player indicated.  Solutions now displayed below.

Problem 1:  White to move: solution is:

Qh5! and if gxQ then Ne6# or if Nf6 then BxN then as above or if QxB Qxh#

Problem 2: White to move and win - solution:

Qe8+!! RxQ then Bd5+ forces Re6 or Qe6 when BxR+ or BxQ+ leaves black unable to stop one of white's pawns queening