Checkmate patterns
The kill box mate
A rook checks along a rank or file and a queen, standing a knight's move away, covers everything around the king. Between them they make a three-by-three box the king cannot leave, and every square in it is covered.
How to spot it
Queen and rook working together on an open board is the setup, and the geometry is worth memorising: the queen wants to be two files and one rank from the checking rook. If the king has been driven towards the edge, look for the square that completes the box before you look for a check.
The positions
Easiest first. Every one is from a real game, and the rating under each board is what it costs the players who have tried it on lichess.
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1. Black to play Play it out →Answer
33...Qh5+ 34.g4 Qxg4#
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2. White to play Play it out →Answer
28.Qc6+ Qc7 29.Ra8#
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3. White to play Play it out →Answer
30.Rxg7+ Kxg7 31.Qf6+ Kg8 32.Rh8#
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4. Black to play Play it out →Answer
28...Rd1+ 29.Kh2 Bxg3+ 30.Kxg3 Qe5+ 31.Kg4 Qf4+ 32.Kh5 Qh4+ 33.Kg6 Rd6+ 34.Kf5 Qf4#
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5. White to play Play it out →Answer
27.h7+ Kg7 28.Qf6+ Kxh7 29.Rh1+ Kg8 30.Rh8#
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6. White to play Play it out →Answer
28.Rxh6+ Kxh6 29.Qf6+ Kh7 30.Rh1+ Bh2 31.Rxh2+ Kg8 32.Rh8#
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7. Black to play Play it out →Answer
30...Qf4+ 31.Kh1 Rxh3+ 32.gxh3 Rxh3+ 33.Kg2 Rh2#
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8. White to play Play it out →Answer
23.Rxg6+ Kf8 24.Rxf7+ Kxf7 25.Qf5+ Ke7 26.Rg7+ Kd6 27.Rd7#
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9. White to play Play it out →Answer
37.Qxf6+ Ke8 38.Rc8+ Kd7 39.Qf5+ Re6 40.Qxe6#
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10. White to play Play it out →Answer
35.Bg7+ Kxg7 36.Rf7#
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11. Black to play Play it out →Answer
27...Qg2+ 28.Kxe3 Re8+ 29.Kd2 Rxe2+ 30.Kc3 Qg7+ 31.Nf6+ Qxf6+ 32.d4 Qxd4+ 33.Kb3 Rb2#
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12. Black to play Play it out →Answer
38...Qf2+ 39.Kc3 Ra3+ 40.Kb4 Qc5#
Reading about a pattern is the easy half. Motify finds the positions where you missed one, by running your own lichess and Chess.com games through Stockfish, and puts each of them behind two or three puzzles on the same idea so you meet it having just found it three times. See how Motify works.
Positions from the lichess puzzle database, released under CC0.