#1: Is it a draw or win for Black? Why?
Solution #1: It’s a draw because Black cannot drive White King away the corner.
#2: Is it a draw or win for Black? Why?
Solution #2: Black can win by transfer his Knight to f3.
#3: Can White win in this position? If so, how?
Solution #3: Yes, White can win because Black King is in the “wrong” corner. Chase Black Bishop with your Rook then at some point you will find a way to attack the Bishop, in the meantime threaten checkmate in the last rank.
#4: Black to play, can he hold? In general, in this type of endgame, what is the scenario the defender should avoid?
Solution #4: Yes, Black can hold by 1…Nf7+. In general, there are 2 scenarios the defender should avoid: placing his King in the corner; separating his Knight far away from his King. In this position, even if Black King is on f8, it is still draw, although Black must defend precisely.
#5: White to move, is it a draw?
Solution #5: Yes, it is a draw. For 6th-rank rook’s pawn, the only way to defend is somehow place the Knight in front of it, this case is h2. Then the King can not drive it away because it just follows the right circuit: h2-g4-e3-f1
#6: White to move, is it a draw?
Solution #6: No, although the Knight is closer to Black pawn than in problem #5. White Knight can not reach the right circuit.
#7: White to move, can he win?
Solution #7: Yes, because White King is inside the winning zone.
#8: Black to move, is it holdable?
Solution #8: Yes, 1…Re1! =. This is called Kling & Horwitz defensive technique for central pawn.
#9: White to play, what should he do?
Solution #9: 1. Nf2, White sets up a barrier: e5, e4, e3, d3. So Black has to find another way and White King has enough time to support.
#10: Black to move, is it a draw?
Solution #10: Yes, it’s a draw. 1…Kd3, then Kc4 sometime later and Black reach the rear position.