5×5 Calcudoku
A 5 × 5 grid with all four operations. Put 1 to 5 in every row and column so every cage hits its target.
How to play
- Fill the grid so every row and every column contains each number from 1 to 5 exactly once.
- The thick lines split the grid into cages. The small clue in the corner of each cage gives a target and an operation: the numbers in that cage must make the target using that operation.
- For − and ÷, start from the bigger number: a “2÷” cage could hold 3 and 6, in either order. A cage with no operation is just that number.
- Tap or click a square, then tap a number or type it. Turn on Notes to pencil in possibilities. Repeated numbers turn red, and so does a cage clue when its full cage misses the target.
What it practises
- Multiplication and division facts
- Finding factors of a number
- Logical reasoning
Level: Ages 9–12 (Grades 4–6)
Tips for 5×5 Calcudoku
Multiplication clues often have only one answer. With the numbers 1 to 5, “20×” in two squares must be 4 and 5.
A “2÷” cage can be 1 and 2 or 2 and 4. Use notes to write both options, then let the row and column rule out one.
Questions and answers
How does division work in Calcudoku?
A division cage has two squares. Divide the bigger number by the smaller one to get the target, in either order. With the numbers 1 to 5, “2÷” could be 1 and 2, or 2 and 4.
Can a cage repeat a number?
Yes, as long as the repeated numbers aren’t in the same row or column. That can happen in L-shaped cages of three or more squares.
What comes after 5×5 Calcudoku?
Try 6 × 6 Calcudoku for bigger grids and more cages, or play the Daily Calcudoku.