Number crunchers · Rules & strategy

How to Play Calcudoku

A Latin square where every cage is a little sum.

Calcudoku, also called Mathdoku, mixes Sudoku-style placement with arithmetic. You fill an N×N grid with the numbers 1 to N so that no number repeats in any row or column, and so that every outlined cage hits its target.

Also known as Mathdoku, Calcudoku puzzle.

Board
4×4 to 9×9
Goal
No repeats, every cage hits its target
Learn in
5 minutes
A Calcudoku board in the 10+ Number Puzzles app
CalcudokuFree · Android

Each cage shows a target and an operation: add, subtract, multiply or divide. The numbers in the cage must combine to make that target. There are no 3×3 boxes, just rows, columns and cages.

Calcudoku rules in 30 seconds

  1. 1An N×N grid uses the numbers 1 to N (a 6×6 uses 1–6).
  2. 2No number repeats in any row or column.
  3. 3The numbers in each cage combine with its operation to make its target.
  4. 4A single-cell cage just tells you its number.

See it on a board

2−6×47+2÷6+12×1234341221434321
A 4×4 Calcudoku uses 1–4 with no repeats in any row or column. Each cage's numbers make its target with its operation.

Watch: how to play Calcudoku

Still not sure? Some puzzles click faster when you see them solved. This 2-minute video from KenKenPuzzle shows Calcudoku in action.

“Learn KenKen in under 2 min.” by KenKenPuzzleWatch on YouTube

How each operation works

  • Addition (+): add every number in the cage. A three-cell 9+ could be 2, 3 and 4.
  • Multiplication (×): multiply every number in the cage. A two-cell 12× could be 3 and 4.
  • Subtraction (−): two cells whose difference is the target, in either order.
  • Division (÷): two cells where the larger divided by the smaller is the target.
  • No operation: a one-cell cage. Write its number straight in.

Can numbers repeat in a cage?

Yes, if the cage is bent so that the repeated numbers sit in different rows and different columns. An L-shaped 3-cell 5+ cage could be 2, 1, 2, as long as the two 2s don't share a row or column. The row and column rule always wins.

Worked example

  1. 1A two-cell cage shows 2÷ in a 4×4 grid, so its pair is 1–2 or 2–4.
  2. 2The same row already has a 1, so the pair must be 2 and 4.
  3. 3A column crossing the cage already has a 4, which decides which cell gets the 2.

Calcudoku tips and strategies

Fill single-cell cages first

They're free placements, and each one removes a number from its row and column.

List the pairs

Subtraction and division cages have only a handful of possible pairs. Write them down.

Use big products

A large × target often needs the biggest numbers, and some products can only be made one way.

Revisit near-finished cages

When all but one cell is known, the last cell is just arithmetic.

Common mistakes to avoid

  • Taking the smaller number from the larger in the wrong order. Subtraction and division always use larger then smaller.
  • Forgetting that a combination which hits the target can still break a row or column.
  • Using numbers bigger than the grid size.

Play Calcudoku in 10+ Number Puzzles

  • Boards grow with difficulty: 4×4 on Easy, 5×5, 6×6, 8×8 and 9×9 on Genius.
  • Tap a cell to see its row and column; cage borders show which target applies.
  • Notes let you compare cage combinations without guessing.
  • You have 3 lives. A wrong number costs one.
  • Five difficulty levels, each a ladder of stages from Easy to Genius.
  • Go online for free: ranked 1v1 duels, rooms where you race, co-op or play in teams, and tournaments.
  • 27 more puzzle types in the same app, and online play never costs coins.
Get it free onGoogle Play
Coming soonApp Store

Calcudoku FAQ

Is Calcudoku the same as KenKen?

They follow the same rules. KenKen® is a trademarked name for this style of puzzle; Calcudoku and Mathdoku are the generic names.

Does Calcudoku have 3×3 boxes like Sudoku?

No. Only rows, columns and cages matter.

What size is a Calcudoku grid?

Anything from 3×3 upward. In the app, boards grow from 4×4 on Easy to 9×9 on Genius.

Is Calcudoku good for practising maths?

Yes. It's gentle arithmetic wrapped in logic, which makes it a popular brain-training puzzle for all ages.