150 Free Printable Calcudoku Puzzles

Free Calcudoku puzzles you can download and print. Each puzzle is a single page PDF with plenty of room to write. Solutions are provided separately so you won't accidentally see the answer.

Calcudoku (also known as KenKen®) combines "Latin square" logic with basic arithmetic. (Latin square simply means each row and column contains every numeral exactly once.) Fill the grid so each row and column contains each digit exactly once, while also making the numbers in each outlined "cage" produce the target value using the specified operation. It's Sudoku with a math twist.

What sets Calcudoku apart from other number puzzles is the dual challenge. You're reasoning about placement and calculation at the same time: which digits can go in a cage to produce a given sum or product, and which of those digits also satisfy the row and column constraints? That interplay between arithmetic and elimination is where the puzzle gets interesting.

Jump to: Easy (50) • Medium (50) • Hard (50) • Calcudoku Rules • Terms of Use

These printables are designed for comfortable paper solving. The grids are clearly laid out with bold cage borders and operation clues in the corner of each cage. Each difficulty level uses a different grid size and operation set, so the tiers feel genuinely distinct rather than just "bigger grid." Solutions are in separate files, so there's no risk of a stray glance spoiling your progress.

Click any puzzle link to open the PDF in a new tab, then print or save. All puzzles are free for personal and organizational use.

50 Easy Calcudoku (4×4)

A good starting point if you're new to Calcudoku. These 4×4 puzzles use only addition and a small grid with digits 1 through 4, so you can focus on learning the cage logic without heavy arithmetic.

With only four digits per row and column, the elimination logic is manageable. If a two-cell cage has a target of 3+, the only possibility is 1 and 2. A three-cell cage adding to 9 must be 2+3+4. Once you recognize a handful of these forced combinations, the Easy puzzles click quickly.

If you've solved Sudoku or Futoshiki before, Calcudoku will feel familiar in some ways: the no-repeat rule, the process of elimination, the satisfaction of a grid filling in. The difference is that the cage operations give you a different kind of foothold. Instead of scanning for naked singles, you're adding digits and asking what fits.

50 Medium Calcudoku (5×5)

A step up in both grid size and arithmetic. These 5×5 puzzles use digits 1 through 5 and introduce subtraction alongside addition, which adds real complexity because subtraction cages are order-dependent.

The larger grid means more cells competing for the same digits in each row and column, so elimination logic becomes more important. You'll find yourself holding more possibilities in mind and working intersections between cages more carefully.

If you breezed through the Easy set, Medium is where Calcudoku starts to feel like a proper challenge. The subtraction cages in particular force you to think about which digit is larger, which creates a different kind of constraint than pure addition.

50 Hard Calcudoku (6×6)

The full Calcudoku experience. These 6×6 puzzles use digits 1 through 6 and all four arithmetic operations: addition, subtraction, multiplication, and division. The combination of a larger grid and mixed operations makes for a genuine workout.

Multiplication and division cages change the solving dynamic. A "12×" cage with two cells on a 6×6 grid could be 2×6 or 3×4. A "2÷" cage could be 1,2 or 2,4 or 3,6. You'll need to track more possibilities per cage and use row/column constraints aggressively to narrow them down.

These puzzles reward patience and systematic candidate tracking. If you find yourself stuck, look for cages where the operation and target value leave only one or two possible digit combinations, then work outward from there.

How to Solve Calcudoku

Calcudoku combines Latin square rules with arithmetic cage constraints. The result is a puzzle that tests both your logic and your number sense.

The rules:

1. Fill each cell with a digit from 1 to N (where N is the grid size: 4 for Easy, 5 for Medium, 6 for Hard).

2. Each row must contain each digit exactly once.

3. Each column must contain each digit exactly once.

4. The digits in each bold-outlined cage must produce the target number using the specified operation (+, −, ×, ÷).

Basic strategies:

Start with single-cell cages. A cage with one cell and no operation simply tells you exactly what digit goes there. Fill these in first.

Look for forced combinations. Some cage targets have only one possible set of digits. On a 4×4 grid, a two-cell cage labeled "7+" must contain 3 and 4 (the only pair of distinct digits from 1-4 that adds to 7). These forced cages are your best footholds.

Use row and column constraints. Even when a cage has multiple possible combinations, the digits already placed in the same row or column will eliminate some of them. Work the intersections.

Think about subtraction and division differently. For a "2−" cage with two cells, you need two digits whose difference is 2. On a 5×5 grid, that could be 1,3 or 2,4 or 3,5. For division cages, the larger number must be evenly divisible by the smaller one.

Mark candidates. Write small numbers in cells to track possibilities. When cage constraints or row/column rules eliminate a candidate, cross it out. This is especially useful on the larger grids.

Printing Tips

Each puzzle is a single-page PDF designed for standard letter-size (8.5×11") paper. They also print well on A4. For the best results, use your browser's "Fit to page" setting and make sure "Print backgrounds" is turned off (it should be by default). The puzzles are black and white, so they work fine on any printer.

If you're printing for a group (for example, a classroom, a company event, a senior center activity, or family game night), feel free to print as many copies as you need. The solution files are separate, so hand out puzzles without worrying about answers being visible on the back.

Prefer to solve on a tablet? The PDFs also work well with stylus-based annotation apps. Just open the file and write directly on the screen.

Why Calcudoku?

Calcudoku exercises arithmetic fluency and logical deduction at the same time. You're constantly running small calculations in your head while also tracking placement constraints across rows and columns. That combination of mental arithmetic and spatial reasoning makes it a particularly well-rounded brain exercise.

The three difficulty levels here also exercise different skills. The Easy addition-only puzzles focus on combination logic. Medium introduces subtraction, which adds order-dependence. Hard brings in multiplication and division, demanding more flexible thinking about number relationships. So even within one puzzle type, you're building a range of cognitive skills as you progress.

For more about the cognitive aspects of puzzles, see my Brain Games overview.

More Printable Puzzles

This page is part of my Printable Puzzles collection. I'm adding new puzzle types regularly.

You might also enjoy my Printable Sudoku, Printable Kakuro, Printable Futoshiki, or Printable Slitherlink puzzle pages.

Terms of Use

These puzzles are free for personal use and for organizations, including classrooms, senior centers, memory care facilities, homeschool groups, clubs, churches, and workplaces. You may print as many copies as you need. Please don't sell them or remove the copyright notice.

Publishers: You may include one or two puzzles in each newsletter or bulletin with attribution to Memory-Improvement-Tips.com.

Published: 04/03/2026
Last Updated: 04/30/2026