GridDay

← Guides

Killer Sudoku strategy

Killer Sudoku adds cage sums to Sudoku. Learn the combinations, the Rule of 45, and how to open a fresh grid.

It is Sudoku plus arithmetic

All the normal Sudoku rules apply, and each dotted cage must add to its printed total with no repeated digit inside. With no given digits, the cage sums are your only way in.

Memorise the unique cage sums

Some totals allow just one combination. Two cells summing to 3 are {1,2}; to 4 are {1,3}; to 16 are {7,9}; to 17 are {8,9}. Three cells to 6 are {1,2,3}. These locked cages crack a grid open.

Use the Rule of 45

Every row, column, and box totals 45. Add the cages that sit inside a unit; whatever is left to reach 45 must live in the one cell that spills in or out. This innie/outie trick is the heart of Killer solving.

Then solve it like Sudoku

Once the cages give you a few digits, ordinary scanning and pencil-mark techniques finish the job.

Killer Sudoku · Cage Combination · Rule of 45