Problem 8 is identical to Problem 7, but with everything shifted one file over. White has just played 1. Qg7+ and now it's Black to move and draw. This position comes with an amusing story from IM Jeremy Silman in his book, Silman's Complete Endgame Course.

Silman writes, I was fourteen-years-old (with a 1600 arting) and a friend called and gave me the following position (Problem 7) over the phone.

"White's a Queen up!" I said.
"Yes, but I bet you can't win it."
I laughed at him, agreed on a fifty-cent wager, and proceeded to lose my money when I just couldn't do it! Humiliated, I finally asked for the solution. (See our solution to Problem 7.)

Once I saw how it was done (we went over it several times) he made me set up another position (Position 8).

"I bet you can't win this."
Angry at the insult, I said, "What are you talking about? You just showed me how to do it! Of course I can win it!"
He was adamant. "I'll bet you double or nothing you can't"
So we went at it again.

Black to move and draw.

The Solution:

Black to draw plays 1. ... Kh2 2. Qf6 Kg2 3. Qg5+ Kh2 4. Qf4+ Kg2 5. Qg4+ Kh2 6. Qf3 Kg1 (so far, the same procedure as in the previous problem) 7. Qg3+ Kh1! (the key move) 8. Qxf2 stalemate. No better is 8. Qf3+ Kg1, which repeats the position, nor 8. Kd6 f1=Q with an easy draw.

Black has this drawing resource with a bishop-pawn or a rook-pawn on the seventh rank. The only way White can win is if the White king is already nearby and can set up a mating position.