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Killer Sudoku - Play Free Online

What Is Killer Sudoku?

Killer Sudoku (also known as Sum Sudoku) is a popular puzzle variant that combines the logic of classic Sudoku with arithmetic. Instead of pre-filled numbers, the grid is divided into groups of cells called "cages," each with a target sum displayed in the corner. Your goal is to fill every cell with digits 1–9 so that each row, column, and 3×3 box contains every digit exactly once - and every cage's digits add up to its target sum.

Because there are no given digits, Killer Sudoku relies entirely on cage-sum logic and elimination. It's a rewarding step up from regular Sudoku that trains arithmetic fluency, logical deduction, and pattern recognition.

Killer Sudoku Rules

Killer Sudoku follows all standard Sudoku rules plus additional cage constraints:

Standard Sudoku Rules

Fill the 9×9 grid so that each row, each column, and each 3×3 box contains the digits 1 through 9 exactly once.

Cage Sum Constraint

Each cage (outlined group of cells) has a target sum shown in the top-left corner. The digits in that cage must add up to exactly that sum.

No Repeats in Cages

Digits cannot repeat within a single cage. For example, a 2-cell cage with sum 8 can be {1,7}, {2,6}, or {3,5} - but never {4,4}.

No Given Digits

Unlike classic Sudoku, the grid starts completely empty. All information comes from the cage sums and standard Sudoku constraints.

How to Play Killer Sudoku

Start by looking for cages with only one possible combination. For example, a 2-cell cage with sum 3 can only be {1,2}, and a 2-cell cage with sum 17 can only be {8,9}. Fill in any digits you can determine immediately.

Next, use the 45 Rule: each row, column, and 3×3 box must sum to 45. If a cage lies entirely within one row/column/box, you can calculate missing values by subtracting known cage sums from 45.

As you progress, combine cage combination logic with standard Sudoku elimination - checking which digits remain possible in each row, column, and box. Use pencil notes to track candidates, and gradually narrow down each cell to a single digit.

Killer Sudoku Tips & Strategies

Master the 45 Rule

Every row, column, and 3×3 box sums to 45. When all but one cage in a region is known, you can calculate the missing cage's value directly. This is the single most powerful technique in Killer Sudoku.

Memorize Common Combinations

Learn the forced combinations: sum 3 in 2 cells = {1,2}, sum 4 in 2 cells = {1,3}, sum 16 in 2 cells = {7,9}, sum 17 in 2 cells = {8,9}. Knowing these by heart speeds up solving dramatically.

Use Cage Combination Analysis

For each cage, list all valid digit combinations. Cross-reference with row/column/box constraints to eliminate impossibilities. Often a cage that seems to have multiple combinations reduces to just one when you consider the surrounding cells.

Scan for Naked Singles in Cages

When only one digit remains possible for a cell within a cage (after eliminating digits used elsewhere in the row, column, or box), that digit is a naked single - fill it in immediately.

Need help figuring out which digits can go in a cage? Check out our Killer Sudoku Combinations Chart

Killer Sudoku vs Regular Sudoku

Regular Sudoku provides pre-filled given digits and requires pure placement logic. Killer Sudoku replaces givens with cage sums, adding an arithmetic layer. You must reason about which digits can add up to each target sum while simultaneously satisfying row, column, and box uniqueness.

Many players find Killer Sudoku more challenging because it requires tracking both digit possibilities and sum constraints. However, the cage-sum information also provides extra clues that standard Sudoku doesn't have - making it a different but equally satisfying logical puzzle.

Frequently Asked Questions

What is Killer Sudoku?
Killer Sudoku is a number puzzle that combines standard Sudoku rules with cage-sum constraints. The grid is divided into cages, each with a target sum. You must fill every cell with 1–9 so that rows, columns, and boxes have no repeats, and each cage's digits add up to its sum.
What is the 45 rule in Killer Sudoku?
The 45 rule states that every row, column, and 3×3 box in a 9×9 Sudoku sums to exactly 45 (1+2+3+4+5+6+7+8+9). You can use this to calculate unknown values when most cages in a region are filled or determined.
Is Killer Sudoku harder than regular Sudoku?
Generally yes - Killer Sudoku adds arithmetic reasoning on top of standard Sudoku logic. However, cage sums provide additional constraints that regular Sudoku doesn't have. Many solvers find it a different kind of challenge rather than strictly harder.
What is the trick to Killer Sudoku?
The main tricks are: (1) start with forced cages that have only one valid combination, (2) apply the 45 rule to calculate unknown values, and (3) combine cage combination logic with standard Sudoku elimination to narrow down candidates.
How many numbers can be in a Killer Sudoku cage?
Cages typically contain 2 to 5 cells, though they can theoretically have up to 9 cells. Smaller cages provide more constrained information and are usually easier to solve. Larger cages have more possible combinations.
Can digits repeat in a Killer Sudoku cage?
No. Within a single cage, every digit must be unique - just like in a row, column, or 3×3 box. This no-repeat rule is what makes cage combination analysis so powerful for solving.
What are the possible combinations for a Killer Sudoku cage?
The combinations depend on the cage size and target sum. For example, a 2-cell cage summing to 10 has four combinations: {1,9}, {2,8}, {3,7}, or {4,6}. Visit our Killer Sudoku Combinations Chart for a complete reference.
Can I play Killer Sudoku online for free?
Yes! Sudoku91 offers free Killer Sudoku with 4 difficulty levels (Easy, Medium, Hard, Expert). No ads, no account required - just pick a difficulty and start solving.