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Sudoku Xtra, written by Dr Gareth Moore
Sudoku Xtra 24
logic puzzle compendium
Printed puzzles from Dr Gareth Moore

Sudoku
 
Hanjie
 
Kakuro
 
Futoshiki
 
Calcudoku
 
Hitori
 
Killer Sudoku
 
Nurikabe
 
Slitherlink
 
Skyscraper

Sudoku-X
 
Jigsaw Sudoku
 
Consecutive Sudoku
 
Kropki Sudoku
 
Sudoku XV
 
Oddpair Sudoku
 
Toroidal Sudoku
 
Killer Sudoku-X
 
Killer Sudoku
Pro

 
Jigsaw Killer
Sudoku

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How to play Kakuro

The rules of Kakuro are simple - place the numbers 1 to 9 into the puzzle grid so that each continuous horizontal or vertical run of empty squares adds up to the value to the left of it or above it respectively. This value is shown either to the right or below a diagonal line. There is one other key rule: the same number cannot be repeated within any run, so the solution to the value '4' cannot be 2+2 but must 1+3 (or 3+1). You can repeat a number elsewhere in the same row or column so long as there is at least one clue or shaded square between them.

Look at the example puzzle above. There is only one possible solution for the '4' clue running down at the top-right. It must be 1+3 or 3+1, and this has been written in in 'pencilmarks' to note this. The same applies to the '16' clue at the top-left - the solution must be 7+9 or 9+7.

Now consider the '14' clue at the top-left. The solution to this cannot involve '7' because the answer would then be 7+7, which would repeat a number, so we can eliminate the 7 here as an option. The top-left square must contain 9, therefore, and so the square to its right must be 5 (9+5=14) and the square below must be 9.

Similarly at the top-right, since we can only place 1 to 9 into the grid the top-right number cannot be '1' because the number to its left would need to be 11, which isn't allowed. So the top-right number must be 3, and then we can place the numbers next to it.

Similar logic allows each corner of the puzzle to be completed:

By then progressing using logical reasoning (guessing is never needed) based on what numbers can fit into which square, the puzzle can be solved:

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All site contents ©Gareth Moore 2005-2014 - email gareth@puzzlemix.com - publishers please visit Any Puzzle Media