Magic Square

About this exercise

A grid where every row, column and diagonal shares the same total.

Example problems

A few of the problems this exercise asks. The printable worksheet holds ten fresh ones.

  1. Complete the magic square so every row, column and diagonal sums to 15.

Try it yourself first β€” open a section below only if you get stuck.

How to solve it

Find a complete line to get the magic total, then use it to fill any line with only one gap.

Worked example

If a complete row totals 15, every other line must also total 15.

Common mistake

Filling a line with two gaps. Always work on a line that is missing exactly one number.