KenKen is a math-based logic puzzle that combines arithmetic operations with grid-based logic. Fill in the grid so that each row and column contains all numbers from 1 to N, and each cage meets its target number using the specified operation.

How do you play KenKen?

To play KenKen, fill in an N×N grid so each row and column contains the numbers 1 through N exactly once. Each bold-bordered cage shows a target number and an arithmetic operation (+, -, ×, ÷). The numbers in the cage must combine using that operation to equal the target.

Where can I play KenKen online for free?

You can play KenKen online for free at PuzzleElo (puzzleelo.com). We offer hundreds of free KenKen puzzles across sizes 3×3 to 9×9, with daily challenges and a competitive Elo rating system.

What are the rules of KenKen?

KenKen rules: 1) Each row must contain the digits 1 to N with no repeats. 2) Each column must contain the digits 1 to N with no repeats. 3) Each boldly outlined cage must produce the target number using the listed arithmetic operation. 4) Single-cell cages must contain the given number.

How does the Elo rating work?

PuzzleElo uses an Elo rating system similar to chess. Your rating increases when you win matches and decreases when you lose. The amount depends on your opponent's rating - beating a higher-rated player earns more points.

Is PuzzleElo free to play?

Yes! PuzzleElo offers free access to practice mode and daily puzzles. Premium membership unlocks additional features like unlimited matches, detailed statistics, and an ad-free experience.

Switching page...

How to Play KenKen

KenKen is a fun and educational math puzzle that sharpens your arithmetic and logic skills. Here's everything you need to know to get started!

What is KenKen?

KenKen (meaning 'cleverness squared' in Japanese) is a grid-based number puzzle invented by Japanese math teacher Tetsuya Miyamoto. It combines elements of Sudoku with basic arithmetic operations.

A completed 4×4 KenKen puzzle showing cages with targets

Basic Rules

Fill the Grid with Numbers
Each row and column must contain each number from 1 to N exactly once (where N is the grid size). For a 4×4 grid, use numbers 1-4; for a 6×6, use 1-6.
Satisfy the Cages
The grid is divided into outlined groups called 'cages'. Each cage shows a target number and an operation. The numbers in that cage must produce the target when combined with that operation.
No Repeats in Lines
Like Sudoku, numbers cannot repeat in any row or column. This is true even within the same cage if it spans multiple cells in a row or column.

Mathematical Operations

Addition

Numbers in the cage add up to the target

6+ → 2 + 4 = 6

−

Subtraction

Larger minus smaller equals the target (2 cells only)

2− → 4 - 2 = 2

Multiplication

Numbers multiply to the target

12× → 3 × 4 = 12

Division

Larger divided by smaller equals the target (2 cells only)

2÷ → 4 ÷ 2 = 2

Tips for Beginners

Start with single-cell cages - they tell you the answer directly!
Look for cages with limited possibilities first (e.g., a 1÷ cage in a 4×4 must be [1,1] or [2,2] or [4,4])
Use pencil marks to note possible numbers for each cell
Check rows and columns frequently to eliminate impossible numbers

Ready to Start Playing?

Put your new knowledge to the test! Start with our practice mode or take structured lessons.

Start Practicing View Lessons