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Killer Sudoku: Rules and How to Play (Beginner's Guide)

Quick answer: Killer Sudoku is classic Sudoku plus simple addition. The grid is split into dashed cages, each labelled with a target sum; the cells in a cage must add up to that number without repeating a digit — on top of the usual rule that every row, column, and 3x3 box holds 1 to 9 once. There are no starting numbers, so the cage sums are your clues.

If you have mastered classic Sudoku, Killer Sudoku is the most popular next step. Here is how it works.

The rules of Killer Sudoku

Killer keeps every classic Sudoku rule and adds one layer:

  1. Rows, columns, and boxes: each must contain 1 to 9 exactly once — same as always.
  2. Cages: the grid is divided into dashed-outline groups of cells. The small number in a cage’s corner is the sum its cells must add up to.
  3. No repeats in a cage: a digit cannot appear twice inside the same cage (even if the box rule would otherwise allow it).

Crucially, a Killer puzzle usually starts empty — no given digits. The cage sums are the only clues, and that is enough.

Start with the small cages

Low-cell cages with extreme sums have very few combinations, so they are the best foothold:

  • A 2-cell cage summing to 3 can only be 1 + 2.
  • A 2-cell cage summing to 17 can only be 8 + 9.
  • A 3-cell cage summing to 6 can only be 1 + 2 + 3.

You may not know the order yet, but you have narrowed those cells to two or three candidates — exactly like a naked pair in classic Sudoku.

Use the 45 rule to break in

Every row, column, and 3x3 box adds up to 45 (1+2+…+9). This is Killer’s signature trick:

If cages neatly fill a row, column, or box except for one stray cell, add up those cage sums and subtract from 45. The remainder is that cell’s value.

The same idea works when a cage pokes just one cell out of a box — the “innie” or “outie” — letting you pin down a single number.

Then it plays like Sudoku

Once cage logic gives you a few placements and candidate pairs, the puzzle solves with the same techniques as classic Sudoku — hidden singles, naked pairs, pointing groups. The cages simply hand you a head start that a normal grid never would.

Ready to try one? Killer Sudoku is a built-in mode in the Sudoku Aura app. For the full family of variants, see our guide to the types of Sudoku, or play a free classic puzzle to warm up.

Frequently Asked Questions

What is Killer Sudoku?+
Killer Sudoku is a Sudoku variant that adds addition. The grid is divided into dashed-outline 'cages', and the small number in each cage is the total its cells must add up to — with no digit repeating inside a cage. All the normal row, column, and 3x3 box rules still apply.
How do you play Killer Sudoku?+
Fill the 9x9 grid so each row, column, and box holds 1 to 9 once, and each cage's cells add up to its target sum without repeating a digit inside the cage. There are usually no given numbers to start — the cage sums are your clues.
What is the 45 rule in Killer Sudoku?+
Every row, column, and 3x3 box contains 1 through 9, which always add up to 45. If cages fill most of a row, column, or box, you can subtract their sums from 45 to find a single missing cell — a powerful way to break in.
Is Killer Sudoku harder than normal Sudoku?+
It is different rather than strictly harder. Killer starts with no given digits, which feels intimidating, but the cage sums give extra information a normal Sudoku doesn't. Once you learn to read cages, many Killer puzzles are very approachable.

Put your skills to the test

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