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How to Play Killer Sudoku

Killer sudoku mixes sudoku with simple sums. Instead of many starting digits, the grid is split into cages (dashed outlines), each with a small number in its corner.

The rules

  1. Sudoku rules: every row, column and 3×3 box contains each digit 1 to 9 exactly once.
  2. Cage sums: the digits in a cage add up to the number in its top left corner.
  3. No repeats in a cage: a digit appears at most once in any cage.

Every cell is in exactly one cage. Some puzzles start with a few digits filled in; many start empty.

Cage combinations

The size and sum of a cage often tell you which digits must be in it:

CageDigits
2 cells, 31 + 2
2 cells, 178 + 9
3 cells, 61 + 2 + 3
3 cells, 247 + 8 + 9
4 cells, 101 + 2 + 3 + 4
4 cells, 306 + 7 + 8 + 9

The order inside the cage still has to come from the rest of the grid.

The 45 rule

Each row, column and box holds 1 to 9 once, so it adds up to 45. If the cages that lie wholly inside a box add up to 38, the one cell of that box that belongs to a cage poking out must be 7. The same works for several rows or columns together (90 for two, 135 for three).

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Frequently asked questions

Can a number repeat in a killer sudoku cage?

No. The digits inside a cage are all different, even when the cage spreads over two rows or boxes.

What is the 45 rule in killer sudoku?

Every row, column and 3×3 box contains 1 to 9 once, so its digits add up to 45. Add up the cages that lie wholly inside a row, column or box; the cells left over must make up the rest of 45.

Last updated 2026-10-19

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