The following position shows that even very simple looking positions require care and concentration on every move.
People will throw away points and half-points by careless play. Don’t let yourself be one of those people.
Here we have only a King and Pawn each. Obviously it is a race to Queen, and equally obviously every move counts.
Surely the very last move White should consider is Kf2. This just lets the Pawn check on its way to becoming a Queen.
So how does White win this position? Kf2 just looks wrong.
Am I trying to trick you in this position? If I am, and you think that is not fair, remember that your opponent is also trying to trick you.
The solution to last Monday’s problem is that White draws with 1 Nf6 d2 and then 2 Kf8! when he has a perpetual check.