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

PROBLEM 3.

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

PROBLEM 4.

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

PROBLEM 5.

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

PROBLEM 6.