White to play and mate in three moves.
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | B | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | P*| | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | P | | R | N | K*| |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | | P | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | K | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
WHITE.

PROBLEM 11.

White to play and mate in four moves.
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | B*| | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | R*| P*| | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | P*| | | | R |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | P | | K*| | B*| | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | K | | P*| | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | N | | R | | N |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | B | | | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­
WHITE.

PROBLEM 12.

White to move his King alone and mate in five moves.
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | | Q | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | P*| | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | P*| | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | P | | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | | | K*| | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | P | | | | B |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
| | | | K | | | | |
+—–­+—–­+—–­+—–­+—–­+—–­+—–­+—–­+
WHITE.

SOLUTIONS TO PROBLEMS.

No. 1.

WHITE.  BLACK.
1.  Q. to K. R’s 4th.  If 1.  K. to K’s 4th.
2.  Q. to K. B’s 6th. (checkmate.)

If 1.  K. to Q. B’s 4th
2.  B. to Q. Kt’s 6th. (checkmate.)

If 1.  K. to K’s 6th.
2.  Q. to K. B’s 2d. (checkmate.)

No. 2.

WHITE.  BLACK.
1.  B. to K. Kt’s 8th.  If 1.  B. takes R.
2.  R. to Q. R’s 7th. (checkmate.)

If 1.  Anything else.
2.  R. to Q. R’s 8th. (checkmate.)

No. 3.

          WHITE.  BLACK.

1.  B. to K. B’s 7th. (ch.) 1.  Kt. takes B.
2.  Kt. to Q. B’s 4th. 2.  Kt. moves.
3.  Kt. to Q’s 6th. (checkmate.)