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4x4 Calcudoku Puzzles

The 4x4 calcudoku is the smallest grid of the game and the best place to learn it: the digits 1 to 4, each once per row and column, and six to eight cages whose target number comes from an operation on the digits inside. With four digits, the arithmetic stays small, and the logic shows through: a 3+ cage is 1 and 2, a 7+ cage is 3 and 4, a 12× cage is 3 and 4 too.

These twelve puzzles come in three sets of four. The first uses addition only; the second adds subtraction, whose cages are always two cells; the third brings in multiplication and division. Every grid has a single solution that logic reaches without a guess, and the book gathers the twelve pages in order.

Part of the Calcudoku Puzzles collection, Last updated on Tue, 27 Oct 2026 17:53:02 GMT.

Free Printables

4x4 Calcudoku with Addition, Puzzle 1

4x4 calcudoku with addition only and eight cages: two single cells (2 and 4), four two-cell cages (5+, 5+, 5+ and 7+, the last one being 3 and 4) and two three-cell cages of 6+ (1, 2 and 3). Addition, puzzle 1 of 4.
4x4 calcudoku with addition only and eight cages: two single cells (2 and 4), four two-cell cages (5+, 5+, 5+ and 7+, the last one being 3 and 4) and two three-cell cages of 6+ (1, 2 and 3). Addition, puzzle 1 of 4. | zuzuzi.com

4x4 Calcudoku with Addition, Puzzle 2

4x4 calcudoku with addition only and six cages: a single cell of 1, two two-cell cages (6+ and 7+), a three-cell cage of 7+ and two four-cell cages, 10+ (all four digits) and 9+. Addition, puzzle 2 of 4.
4x4 calcudoku with addition only and six cages: a single cell of 1, two two-cell cages (6+ and 7+), a three-cell cage of 7+ and two four-cell cages, 10+ (all four digits) and 9+. Addition, puzzle 2 of 4. | zuzuzi.com

4x4 Calcudoku with Addition, Puzzle 3

4x4 calcudoku with addition only and seven cages: a single cell of 2, three two-cell cages (4+, 5+ and 7+) and three three-cell cages, 6+, 6+ and 10+, which must repeat a digit, so it bends around a corner. Addition, puzzle 3 of 4.
4x4 calcudoku with addition only and seven cages: a single cell of 2, three two-cell cages (4+, 5+ and 7+) and three three-cell cages, 6+, 6+ and 10+, which must repeat a digit, so it bends around a corner. Addition, puzzle 3 of 4. | zuzuzi.com

4x4 Calcudoku with Addition, Puzzle 4

4x4 calcudoku with addition only and seven cages: two single cells (3 and 4), two two-cell cages (5+ and 6+), two three-cell cages (6+, which is 1, 2 and 3, and 8+) and a four-cell cage of 8+. Addition, puzzle 4 of 4.
4x4 calcudoku with addition only and seven cages: two single cells (3 and 4), two two-cell cages (5+ and 6+), two three-cell cages (6+, which is 1, 2 and 3, and 8+) and a four-cell cage of 8+. Addition, puzzle 4 of 4. | zuzuzi.com

4x4 Calcudoku with Addition and Subtraction, Puzzle 1

4x4 calcudoku with addition and subtraction, eight cages: two single cells (2 and 3), two subtraction cages (2− and 3−, the latter being 1 and 4), two addition pairs (4+ and 5+) and two three-cell cages (7+ and 8+). Addition and subtraction, puzzle 1 of 4.
4x4 calcudoku with addition and subtraction, eight cages: two single cells (2 and 3), two subtraction cages (2− and 3−, the latter being 1 and 4), two addition pairs (4+ and 5+) and two three-cell cages (7+ and 8+). Addition and subtraction, puzzle 1 of 4. | zuzuzi.com

4x4 Calcudoku with Addition and Subtraction, Puzzle 2

4x4 calcudoku with addition and subtraction, seven cages and, as it happens, not one subtraction sign: two single cells (1 and 4), two addition pairs (4+ and 6+), two three-cell cages (6+ and 8+) and a four-cell cage of 11+. Addition and subtraction, puzzle 2 of 4.
4x4 calcudoku with addition and subtraction, seven cages and, as it happens, not one subtraction sign: two single cells (1 and 4), two addition pairs (4+ and 6+), two three-cell cages (6+ and 8+) and a four-cell cage of 11+. Addition and subtraction, puzzle 2 of 4. | zuzuzi.com

4x4 Calcudoku with Addition and Subtraction, Puzzle 3

4x4 calcudoku with addition and subtraction, seven cages and no given digit: two subtraction pairs (1− and 3−), three addition pairs (3+, 3+ and 7+) and two three-cell cages (6+ and 9+, which is 2, 3 and 4). Addition and subtraction, puzzle 3 of 4.
4x4 calcudoku with addition and subtraction, seven cages and no given digit: two subtraction pairs (1− and 3−), three addition pairs (3+, 3+ and 7+) and two three-cell cages (6+ and 9+, which is 2, 3 and 4). Addition and subtraction, puzzle 3 of 4. | zuzuzi.com

4x4 Calcudoku with Addition and Subtraction, Puzzle 4

4x4 calcudoku with addition and subtraction, eight cages: two single cells (1 and 4), two subtraction pairs of 1−, two addition pairs (4+ and 6+) and two three-cell cages, 6+ and 11+, which must repeat a digit. Addition and subtraction, puzzle 4 of 4.
4x4 calcudoku with addition and subtraction, eight cages: two single cells (1 and 4), two subtraction pairs of 1−, two addition pairs (4+ and 6+) and two three-cell cages, 6+ and 11+, which must repeat a digit. Addition and subtraction, puzzle 4 of 4. | zuzuzi.com

4x4 Calcudoku with All Operations, Puzzle 1

4x4 calcudoku with all four operations, seven cages: 1−, 12× (3 and 4), 3÷ (1 and 3), 6+ and 7+ pairs, and two three-cell cages, 4+ (1, 1 and 2, bent around a corner) and 9+. All operations, puzzle 1 of 4.
4x4 calcudoku with all four operations, seven cages: 1−, 12× (3 and 4), 3÷ (1 and 3), 6+ and 7+ pairs, and two three-cell cages, 4+ (1, 1 and 2, bent around a corner) and 9+. All operations, puzzle 1 of 4. | zuzuzi.com

4x4 Calcudoku with All Operations, Puzzle 2

4x4 calcudoku with all four operations, seven cages: two single cells (2 and 4), a 4÷ pair (1 and 4), a 7+ pair, two three-cell cages (6+ and 7+) and a four-cell cage of 9+. All operations, puzzle 2 of 4.
4x4 calcudoku with all four operations, seven cages: two single cells (2 and 4), a 4÷ pair (1 and 4), a 7+ pair, two three-cell cages (6+ and 7+) and a four-cell cage of 9+. All operations, puzzle 2 of 4. | zuzuzi.com

4x4 Calcudoku with All Operations, Puzzle 3

4x4 calcudoku with all four operations, eight cages: three single cells (3, 4 and 4), an 8× pair (2 and 4), two addition pairs (4+ and 5+), a three-cell 6+ and a four-cell 8+. All operations, puzzle 3 of 4.
4x4 calcudoku with all four operations, eight cages: three single cells (3, 4 and 4), an 8× pair (2 and 4), two addition pairs (4+ and 5+), a three-cell 6+ and a four-cell 8+. All operations, puzzle 3 of 4. | zuzuzi.com

4x4 Calcudoku with All Operations, Puzzle 4

4x4 calcudoku with all four operations, eight cages: a single cell of 3, two subtraction pairs (1− and 2−), two products (4× and 12×), a 2÷ pair, a 7+ pair, and a three-cell 2× that can only be 1, 1 and 2. All operations, puzzle 4 of 4.
4x4 calcudoku with all four operations, eight cages: a single cell of 3, two subtraction pairs (1− and 2−), two products (4× and 12×), a 2÷ pair, a 7+ pair, and a three-cell 2× that can only be 1, 1 and 2. All operations, puzzle 4 of 4. | zuzuzi.com

How to Solve a 4x4 Calcudoku

Start with the cages that have one answer: a single cell is its number; among two-cell cages, 3+ is 1 and 2, 7+ is 3 and 4, 3− is 1 and 4, 12× is 3 and 4, and 2÷ is 1 and 2 or 2 and 4; a three-cell cage of 6+ in a line is 1, 2 and 3, and one of 9+ is 2, 3 and 4. Then use the rule of ten: a row or a column adds up to 10, so the cells of a row that are not covered by its cages add up to 10 minus the cage sums. Write candidates small, and cross out what each placed digit forbids in its row, its column and its cage.

Frequently Asked Questions

What is the difference between calcudoku and KenKen?

None in the rules: KenKen is a trademark for the same puzzle. Calcudoku is the generic name, used here for grids with cages, operations and targets.

Can a digit repeat inside a cage?

Yes, if the two cells are in different rows and different columns, which an L-shaped cage allows; a straight cage cannot repeat a digit, since a row or a column holds each digit once. A 10+ cage of three cells in a 4x4 grid is the sign of such a bend: 4, 4 and 2, or 4, 3 and 3.