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How do you checkmate with a Rook and King versus King? Is there a good and fast method? Can you explain it in a good way? Thanks!

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5  
Are you learning chess from the beginning again? :) –  Dag Oskar Madsen Mar 2 at 2:14
3  
FIDE Masters ain't what they used to be! –  Tony Ennis Mar 2 at 14:03

4 Answers 4

up vote 17 down vote accepted

I know you're a FIDE Master :), so I suppose you're more interested in this question from a teaching perspective.

The simplest way to understand a checkmate with King and Rook vs King is the idea of the rectangle of the opposing king. Consider this position-

enter image description here

Here, the Black King is restricted by the White Rook in this giant rectangular area of the chessboard. For simplicity, I am not considering the area restricted by the White King, which would be like this -

enter image description here

A simple way (I'll deal with optimizations later) to checkmate is to ensure that this rectangle gets smaller and smaller, so that the Black King is pushed to a corner of the board (more visual representation below with diagrams).

    [FEN "8/8/8/8/4k3/8/8/K6R w - - 0 1"]

     1. Re1+ Kd4 2. Kb1 Kd3 3. Kc1 Kd4 4. Re2 Kd3 5. Kd1 Kd4 6. Kd2 Kc4 7. Re3 Kd4
     8. Ke2 Kc4 9. Rd3 Kc5 10. Ke3 Kc4 11. Ke4 Kc5 12. Rd4 Kc6 13. Rd5 Kb6 14. Kd4
     Kc6 15. Kc4 Kb6 16. Rc5 Kb7 17. Kb5 Ka7 18. Rc6 Kb7 19. Kc5 Ka7 20. Rb6 Ka8 21.
     Kc6 Ka7 22. Kc7 Ka8 23. Ra6# 


1. Re1+ Kd4 

enter image description here

2. Kb1 Kd3 3. Kc1 Kd4 4. Re2 Kd3 5. Kd1

enter image description here

5...Kd4 6. Kd2 Kc4 7. Re3 Kd4

enter image description here

8. Ke2 Kc4 9. Rd3

enter image description here

9...Kc5 10. Ke3 Kc4 11. Ke4 Kc5 12. Rd4

enter image description here

12...Kc6 13. Rd5

enter image description here

13...Kb6 14. Kd4 Kc6 15. Kc4 Kb6 16. Rc5

enter image description here

16...Kb7 17. Kb5 Ka7 18. Rc6 

enter image description here

18...Kb7 19. Kc5 Ka7 20. Rb6 

enter image description here

Ka8 21.Kc6 Ka7 22. Kc7 Ka8 23. Ra6# 1-0

enter image description here

Of course, with this method, the one mistake that White must avoid is stalemate -

  1. Rb7?? stalemate!

enter image description here

Optimizations and Tricks.

More experienced players can get to smaller rectangles quicker by looking further ahead.

One trick is to trap the king in a smaller rectangle if it comes too close to the rook. For this, White also has to use the king more actively.

   [FEN "8/8/8/8/4k3/8/8/K6R w - - 0 1"]

   1. Re1+ Kd4 2. Kb2 Kd3 3. Kb3! Kd2 4. Re4! Kd3 5. Rc4

enter image description here

Another trick is to give a rook check when the kings are in opposition.

   [FEN "8/8/8/2k5/8/2K5/8/4R3 w - - 0 6"]

   1. Re5+!? (1. Rd1!) Kd6 2.Kd4

enter image description here

This trick is not necessarily optimal. In the above example, White can actually mate faster with the move 1. Rd1!

   [FEN "8/8/8/2k5/8/2K5/8/4R3 w - - 0 6"]

   1. Rd1! Kb5 2. Rd5+! Kc6 3. Kc4

enter image description here

The above optimization is also made possible by the rook-waiting-move trick. If, in the above position, instead of going to c6, the Black king tries to escape via a4, then the following checkmate is possible.

 [FEN "8/8/8/1k6/8/2K5/8/3R4 w - - 0 7"]

 1. Rd5+ Ka4 2. Rc5! Ka3 3. Ra5#

One more idea is to use king-opposition (in combination with the rook) to push the enemy king behind.

 [FEN "8/8/8/2k5/8/8/2K5/4R3 w - - 0 4"]

 1. Kc3! (1...Kd5 2. Re3!) Kc6 2. Kc4! Kd6 3. Re4

Combining these different ideas, here are two of the most optimal mates possible from the starting position -

   [FEN "8/8/8/8/4k3/8/8/K6R w - - 0 1"]

   1. Re1+ (1. Kb2 Kf4 2. Kc3 Ke5 3. Re1+ Kf6 4. Kd4 Kf5 5. Re4 Kf6 6. Re5 Kg6 7.
   Ke4 Kf6 8. Kf4 Kg6 9. Re6+ Kg7 10. Kg5 Kf7 11. Re5 Kg7 12. Rf5 Kh7 13. Kf6! Kg8
   14. Rh5 Kf8 15. Rh8#) 1... Kd4 2. Kb2 Kd3 3. Kb3! Kd4 4. Kb4 $3 Kd3 5. Kc5! Kd2
   6. Re4 Kd3 7. Re5 Kc3 8. Rd5 Kb3 9. Rd3+ Kc2 10. Kc4 Kb2 11. Rd2+ Kc1 12. Kc3
   Kb1 13. Kb3 Kc1 14. Rd3 Kb1 15. Rd1# *
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I would suggest -- Play this out with an opponent.Thats the best way to get the feel of it. else just google and you will see a lots of explanation -- with some nice graphics. www.chess.com and chesstempo.com even have some practice board where you can learn.

One link that covers good theory and explains slowly is http://www.chesscorner.com/tutorial/basic/r_k_mate/r_k_mate.htm

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I would teach the slow but safe and easy way first: The rook divides the board in two halves. Then the attacking king tries to get in opposition to the enemy king (sometimes the rook has to swap sides or needs to make a waiting move for this to happen). Then the rook gives a check, hence pushing the king one field closer to the edge of the board. The mate follows exactly the same pattern.

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1  
This is how I learned it, but is it really simpler than the rectangle method? –  Dag Oskar Madsen Mar 3 at 14:33
    
I think it is. You have just two very simple rules: 1) Get the king in opposition and give a check, 2) If the rook is attacked, swing it over. No stalemates, no uncertainty regarding which piece to move. And the rectangle method is not totally different, you can see it as 2D extension of the 1D opposition method. –  Landei Mar 3 at 19:32

Rule of thumb for checkmate with Rook against lone king:

  1. Use the Rook to restrict the opponent's King.
  2. Support the Rook with the King.
  3. Confine the King to a box and make the box smaller if possible.
  4. If it is not possible to make the box smaller, move the King (a waiting move to force back the opponent's King.).
  5. Last but not least which leads to victory is
    Force your opponent king to corner (Rank - 1st or 8th or File - a or h ).
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protected by AlwaysLearningNewStuff Jul 24 at 10:11

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