Magic Square - How to Solve Magic Squares in Maths - Free Printable

Let’s carefully check the grid to make sure it works as a magic square — meaning every row, column, and both main diagonals should add up to 34.

We’ll go step by step:

Rows (left to right):

- Row 1: 1 + 14 + 15 + 4 =
→ 1 + 14 = 15; 15 + 15 = 30; 30 + 4 = 34 ✔

- Row 2: 12 + 7 + 6 + 9 =
→ 12 + 7 = 19; 19 + 6 = 25; 25 + 9 = 34 ✔

- Row 3: 8 + 11 + 10 + 5 =
→ 8 + 11 = 19; 19 + 10 = 29; 29 + 5 = 34 ✔

- Row 4: 13 + 2 + 3 + 16 =
→ 13 + 2 = 15; 15 + 3 = 18; 18 + 16 = 34 ✔

Columns (top to bottom):

- Column 1: 1 + 12 + 8 + 13 =
→ 1 + 12 = 13; 13 + 8 = 21; 21 + 13 = 34 ✔

- Column 2: 14 + 7 + 11 + 2 =
→ 14 + 7 = 21; 21 + 11 = 32; 32 + 2 = 34 ✔

- Column 3: 15 + 6 + 10 + 3 =
→ 15 + 6 = 21; 21 + 10 = 31; 31 + 3 = 34 ✔

- Column 4: 4 + 9 + 5 + 16 =
→ 4 + 9 = 13; 13 + 5 = 18; 18 + 16 = 34 ✔

Diagonals:

- Top-left to bottom-right: 1 + 7 + 10 + 16 =
→ 1 + 7 = 8; 8 + 10 = 18; 18 + 16 = 34 ✔

- Top-right to bottom-left: 4 + 6 + 11 + 13 =
→ 4 + 6 = 10; 10 + 11 = 21; 21 + 13 = 34 ✔

✔ All rows, columns, and diagonals sum to 34.

This is a correct 4x4 magic square using numbers 1 through 16 exactly once.

Final Answer: The grid is a valid magic square where every row, column, and diagonal adds up to 34.