Magic Square Generator

Printable worksheets of six 3 x 3 magic squares to complete: the Lo Shu square, with each number from 1 to 9 once, or squares with numbers up to 30 or up to 100. Every worksheet also has its answer key, with the missing numbers.

A magic square is a grid of numbers where every row, every column and both diagonals add up to the same total, the magic sum. The oldest known one, the Lo Shu square from China, uses each number from 1 to 9 once, and its magic sum is 15. To fill in a magic square, you first find the magic sum from a full row, column or diagonal, then complete each line that has only one empty cell. Magic squares turn addition and subtraction practice into a puzzle, and train checking your answers.

1. Choose the settings. Pick the numbers: the Lo Shu square, with each number from 1 to 9 once, or squares with numbers up to 30 or up to 100.
2. Make a new worksheet. Press New: a new worksheet appears at once, with the same settings. Each one comes from a random number, its seed, kept in the address of the page.
3. Print it. Press Print to print the page on A4 paper, or choose “Save as PDF” in the print window to keep it.
4. Get the answer key. Tick Show the solution: the same worksheet appears with its solution in orange, ready to print as the answer key.
5. Share it. Copy the address of the page: it always gives the same worksheet back.

Every worksheet has six different 3 x 3 magic squares, with four empty cells from 1 to 9, and five at the other levels. One full row, column or diagonal is always given, which shows the magic sum, and each square can be solved one cell at a time. The page is made in your browser: nothing is sent to Zuzuzi, and it is free, with no sign-up.