Rechenkiste

The worksheets themselves are in German – just as in class. The editor is only available in German so far.

Puzzles · typical for Grades 2 to 6

Magic squares – worksheets to print

Every row, every column and both diagonals add up to the same magic number – find the missing numbers.

  • Choose the number of tasks and the difficulty yourself
  • With an answer sheet and, if you like, a QR code to the answers
  • At three levels (★ to ★★★) and as group A and B
  • As a single worksheet or as a task on a mixed worksheet
Create a worksheet: Magic squares How it works: explanations & examples
This is how it looks on the worksheet – with new numbers every time.
Understand & practise together

Magic squares: explained simply

In a magic square, every row, every column and both long diagonals have the same sum: the magic total.

How to work it out

  • Use a complete row, column or diagonal to find the magic total if it is not given.
  • If a line has just one missing number, subtract its known numbers from the magic total. Check each new number in the crossing lines too.

An example, step by step

The magic total is 15. One row contains 8, □, 6.

  1. Add the known numbers: 8 + 6 = 14.
  2. The missing amount is 15 − 14 = 1. Put 1 in the gap.
  3. Check: 8 + 1 + 6 = 15. Then check the column containing the 1 as well.

Your turn

Magic total 15, column 6, 7, □: what is missing?

Show the answer and method

15 − 6 − 7 = 2. Check: 6 + 7 + 2 = 15.

Ready-made worksheets: Magic squares

Click the picture to see the worksheet large and print it. “Use” opens it in the editor.

Grade 3 · SingleMagic squaresNumbers up to 100, five numbers given
Use
Grade 2 · MixedPuzzle sheetMagic squares, sudoku, magic triangles, symbol puzzles
Use
Grade 3 · MixedPuzzle sheetMagic squares up to 100, sudoku 6 × 6, magic triangles
Use
Grade 4 · MixedPuzzle sheetMagic squares, sudoku 6 × 6, magic triangles, symbols with times
Use
Grade 5 · MixedPuzzle sheetMagic squares up to 1,000, sudoku 6 × 6
Use
Grade 6 · MixedPuzzle sheetMagic squares up to 1,000 with three numbers, sudoku
Use

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