Number Duel Games

KenKen

KenKen is a arithmetic logic puzzle invented by Japanese math teacher Tetsuya Miyamoto in 2004. Like Sudoku, each row and column must contain each number exactly once. But KenKen adds an extra layer: cells are grouped into "cages" with arithmetic targets. To solve the puzzle, you must satisfy both the Latin Square constraint AND the cage arithmetic constraints.

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How to Play KenKen

1. Fill the grid so each row and column contains numbers 1 to N exactly once (like Sudoku).
2. Cells are grouped into cages, shown by thick borders.
3. Each cage has a target number and an operation (e.g., "12×" means the numbers in that cage multiply to 12).
4. For addition (+) cages: the numbers in the cage add up to the target.
5. For multiplication (×) cages: the numbers multiply to the target.
6. For subtraction (−) cages: subtract the smaller from the larger to get the target.
7. For division (÷) cages: divide the larger by the smaller to get the target.
8. Single-cell cages show the answer directly.

KenKen vs Sudoku

KenKen and Sudoku share the Latin Square rule (each row/column has unique numbers). The key difference: Sudoku uses 3×3 block constraints, while KenKen uses arithmetic cages. This means KenKen requires both logic AND arithmetic — making it a more complete brain workout. Many puzzle enthusiasts find KenKen more engaging than Sudoku because each cage adds a new dimension of deduction.

Grid Sizes

• 4×4: Great for beginners. Uses numbers 1-4.
• 6×6: Intermediate challenge. Uses numbers 1-6.
• 9×9: The full KenKen experience. Uses numbers 1-9.

KenKen Strategy Tips

• Start with single-cell cages (they give you free answers).
• Look for cages with only one possible combination (e.g., "3+" in a 2-cell cage with values 1-4 can only be 1+2).
• Use Sudoku-style elimination: if a row already has a 3, no other cell in that row can be 3.
• For multiplication cages, factor the target to find possible number combinations.
• Work from the edges inward — corner cells have fewer neighbors to check.

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Related Games

• Calcudoku — same game under a different name
• KenKen Online — play in your browser
• Sudoku for Kids — block-based logic puzzle
• 24 Game Online — arithmetic puzzle