How many moves?

If Black just made a move in this game, what is the minimum amount of moves that have been played?

8 moves example: 

1. f3 Nf6
2. Kf2 Ng8
3. Ke3 Nf6
4. Kd3 Ng8
5. Ke4 Nf6
6. Ke3 NNg8
7. Kf2 Nf6
8. Ke1 Ng8

In order to see that 8 is the minimum number of moves, notice that Black could only move rooks and knights, and therefore he has made an even number of moves. This implies that White has made an odd number of moves, excluding the pawn on f3. This is possible only if he has placed his king on a white cell at some point and then returned it back to e1, which would take at least 8 moves.

Reti’s Magic

It is White’s move next. Is this game a win for Black or a draw?

The game is a draw. The first two moves of White are Kg7 and Kf6. If Black moves the king twice in the meantime, then White can get to the pawn on the h-file and take it. If Black moves the king once, then White plays Ke5. If Black moves the king again, White can take the pawn on the h-file. Otherwise, White plays Kd6 and can promote his pawn right after Black promotes his. Finally, if after Kg7 and Kf6 Black moves the pawn twice, then White plays Ke7, and once again can promote his pawn right after Black promotes his.

Monochromatic

If you know that the following game has been monochromatic, i.e. no piece has moved from black to white square or vice-versa, which one is the correct position of the bishop – e3 or e4?

The correct position of the bishop is e3. Otherwise, no White’s piece could have captured the last Black’s piece, moving on black squares.

Game of Chess

Ned and Jon are playing chess. Eventually, they end up in a position in which Ned (whites) is left with 2 rooks, and Jon (blacks) has just his king on the board. If Ned can mate Jon in exactly 4 different ways, what is the position of the pieces?

Black king on a1, white king on e1, white rooks on c2 and h1. Ned hasn’t moved his king and rook, so he can either castle or move his king to d2, e2 or f2, resulting in a mate.

Impossible!

Is it possible the following chess position to occur in a game?

No, it is impossible. The White’s pawn from e2 should have captured the Black’s bishop from c8. In order for the bishop to get there, the pawn on c6 should have captured one of White’s rooks. It couldn’t be the rook from h1, so it should have been the rook from a1. But in order for the rook from a1 to get to c6, the pawns from b2 and c2 should have been moved to b3 and c4 respectively. However, in that case, the bishop from f1 couldn’t get to a4, since it has been blocked before the capture e2xf3.

Chess Aggression

Starting from this position, can you make 39 consecutive checks – 20 from White and 19 from Black?

The sequence is as follows:

1. Nh2+ f1N+
2. Rxf1+ gxf1N+
3. Ngxf1+ Bg5+
4. Qxg5+ Bg2+
5. Nf3+ exf3+
6. Kd3+ Nc5+
7. Qxc5+ Re3+
8. Nxe3+ c1N+
9. Qxc1+ d1Q+
10. Qxd1+ e1N+
11. Qxe1+ Bf1+
12. Nxf1+ f2+
13. Ne3+ f1Q+
14. Qxf1+ Qxf1+
15. Nxf1+ Re3+
16. Nxe3+ b1Q+
17. Rxb1+ axb1Q+
18. Nc2+ Nf2+
19. Bxf2+

Queen’s Death

On which spot was the white queen captured?

Since the pawns on e6 and h6 have taken 2 of the White’s pieces, and the only two white pieces which could get there are the knight and the queen, the answer is one of these two squares. Similarly, the pawn on b3 should have taken the Black’s c8 bishop, and this should have happened before the White’s queen was taken. Therefore first the white knight was taken on e6, then the black bishop on b3, and finally the white queen on h6.