Calcudoku Puzzles

Calcudoku mixes the logic of sudoku with mental math. The grid is divided into cages, outlined with thick lines, and each cage shows a target number and an operation. Fill the grid so that each row and each column contains every digit exactly once, and the digits in each cage combine with its operation to give its number.

The collection covers 4x4, 5x5, and 6x6 grids with three sets of operations: addition only, addition and subtraction, and all four operations. It is a fun way to practice arithmetic and logical reasoning at the same time.

Each puzzle comes in a high quality PDF, with one large grid per page, perfect for A4 printing at home or in the classroom.

Part of the Calcudoku Puzzles collection, Last updated on Mon, 26 Oct 2026 09:05:14 GMT.

Free Printables

4x4 Calcudoku Puzzle with Addition (N1)

Beginner 4x4 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 1.
Beginner 4x4 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 1. | zuzuzi.com

4x4 Calcudoku Puzzle with Addition (N2)

Beginner 4x4 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 2.
Beginner 4x4 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 2. | zuzuzi.com

4x4 Calcudoku Puzzle with Addition (N3)

Beginner 4x4 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 3.
Beginner 4x4 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 3. | zuzuzi.com

4x4 Calcudoku Puzzle with Addition and Subtraction (N1)

Intermediate 4x4 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 1.
Intermediate 4x4 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 1. | zuzuzi.com

4x4 Calcudoku Puzzle with Addition and Subtraction (N2)

Intermediate 4x4 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 2.
Intermediate 4x4 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 2. | zuzuzi.com

4x4 Calcudoku Puzzle with Addition and Subtraction (N3)

Intermediate 4x4 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 3.
Intermediate 4x4 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 3. | zuzuzi.com

4x4 Calcudoku Puzzle with All Four Operations (N1)

Advanced 4x4 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 1.
Advanced 4x4 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 1. | zuzuzi.com

4x4 Calcudoku Puzzle with All Four Operations (N2)

Advanced 4x4 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 2.
Advanced 4x4 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 2. | zuzuzi.com

4x4 Calcudoku Puzzle with All Four Operations (N3)

Advanced 4x4 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 3.
Advanced 4x4 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 4, one solution. Variant 3. | zuzuzi.com

5x5 Calcudoku Puzzle with Addition (N1)

Beginner 5x5 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 1.
Beginner 5x5 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 1. | zuzuzi.com

5x5 Calcudoku Puzzle with Addition (N2)

Beginner 5x5 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 2.
Beginner 5x5 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 2. | zuzuzi.com

5x5 Calcudoku Puzzle with Addition (N3)

Beginner 5x5 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 3.
Beginner 5x5 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 3. | zuzuzi.com

5x5 Calcudoku Puzzle with Addition and Subtraction (N1)

Intermediate 5x5 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 1.
Intermediate 5x5 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 1. | zuzuzi.com

5x5 Calcudoku Puzzle with Addition and Subtraction (N2)

Intermediate 5x5 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 2.
Intermediate 5x5 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 2. | zuzuzi.com

5x5 Calcudoku Puzzle with Addition and Subtraction (N3)

Intermediate 5x5 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 3.
Intermediate 5x5 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 3. | zuzuzi.com

5x5 Calcudoku Puzzle with All Four Operations (N1)

Advanced 5x5 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 1.
Advanced 5x5 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 1. | zuzuzi.com

5x5 Calcudoku Puzzle with All Four Operations (N2)

Advanced 5x5 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 2.
Advanced 5x5 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 2. | zuzuzi.com

5x5 Calcudoku Puzzle with All Four Operations (N3)

Advanced 5x5 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 3.
Advanced 5x5 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 5, one solution. Variant 3. | zuzuzi.com

6x6 Calcudoku Puzzle with Addition (N1)

Beginner 6x6 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 1.
Beginner 6x6 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 1. | zuzuzi.com

6x6 Calcudoku Puzzle with Addition (N2)

Beginner 6x6 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 2.
Beginner 6x6 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 2. | zuzuzi.com

6x6 Calcudoku Puzzle with Addition (N3)

Beginner 6x6 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 3.
Beginner 6x6 calcudoku with addition cages only, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 3. | zuzuzi.com

6x6 Calcudoku Puzzle with Addition and Subtraction (N1)

Intermediate 6x6 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 1.
Intermediate 6x6 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 1. | zuzuzi.com

6x6 Calcudoku Puzzle with Addition and Subtraction (N2)

Intermediate 6x6 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 2.
Intermediate 6x6 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 2. | zuzuzi.com

6x6 Calcudoku Puzzle with Addition and Subtraction (N3)

Intermediate 6x6 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 3.
Intermediate 6x6 calcudoku with addition and subtraction cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 3. | zuzuzi.com

6x6 Calcudoku Puzzle with All Four Operations (N1)

Advanced 6x6 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 1.
Advanced 6x6 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 1. | zuzuzi.com

6x6 Calcudoku Puzzle with All Four Operations (N2)

Advanced 6x6 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 2.
Advanced 6x6 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 2. | zuzuzi.com

6x6 Calcudoku Puzzle with All Four Operations (N3)

Advanced 6x6 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 3.
Advanced 6x6 calcudoku with addition, subtraction, multiplication, and division cages, outlined with thick lines, and no given numbers. Digits 1 to 6, one solution. Variant 3. | zuzuzi.com

How to Play Calcudoku

Fill the grid with digits from 1 to the size of the grid: 1 to 4 in a 4x4 grid, 1 to 5 in a 5x5 grid, and 1 to 6 in a 6x6 grid. Each digit appears exactly once in every row and every column. Thick lines divide the grid into cages, and each cage shows a target number followed by an operation sign. Added or multiplied together, the digits of a cage give its number. In a two-cell cage with a minus or a division sign, the larger digit minus or divided by the smaller one gives the number. A single-cell cage simply shows its digit.

No digits are given, but every puzzle has exactly one solution that logic and arithmetic can reach without guessing.

How does difficulty work in calcudoku?

Two things set the difficulty: the size of the grid and the operations used. Addition-only puzzles are the best place to start. Adding subtraction brings in differences between two digits, and puzzles with all four operations add products and quotients, with many more combinations to consider. Bigger grids mean more digits, more cages, and longer chains of deductions.

Tips for solving calcudoku

  • Fill single-cell cages first: they give their digit directly.
  • List the digit combinations that can make the number of each cage, and cross out those that break the row and column rules.
  • Large products narrow the choices quickly: in a 6x6 grid, a two-cell cage of 30× can only hold 5 and 6.
  • Remember that every row and column adds up to the same total: 10 in a 4x4 grid, 15 in a 5x5 grid, and 21 in a 6x6 grid.

Frequently Asked Questions

What do the numbers and signs in the cages mean?

The number is the result of the cage, and the sign is its operation: + for addition, − for subtraction, × for multiplication, and ÷ for division. For example, a two-cell cage marked 6× can hold 2 and 3, or 1 and 6 in a 6x6 grid.

Which operations should beginners choose?

Start with the addition-only puzzles in a 4x4 grid. Once the rules feel natural, move on to addition and subtraction, then to puzzles with all four operations and larger grids.