3x3 Magic Square Puzzles

Print big 3x3 magic squares, a single grid on each sheet, and fill the empty cells so that the three rows, the three columns and the two diagonals all agree on one total. The large cells leave room for young hands and make each square easy to show on a board.

The set climbs in three steps of eight sheets: the Lo Shu square, which places each number from 1 to 9 once and always totals 15, then squares of numbers no higher than 30, then of numbers no higher than 100, where the total changes from grid to grid. In every step, sheets one and two print the total under the square. The twenty-four pages make up one workbook.

Part of the Magic Squares collection, Last updated on Tue, 03 Nov 2026 01:24:16 GMT.

Free Printables

3x3 Magic Square with Its Sum, Numbers 1 to 9 (N1)

One large Lo Shu square to complete, four of its nine cells empty, the sum 15 printed under it.
One large Lo Shu square to complete, four of its nine cells empty, the sum 15 printed under it. | zuzuzi.com

3x3 Magic Square with Its Sum, Numbers 1 to 9 (N2)

One large Lo Shu square to complete, four of its nine cells empty, the sum 15 printed under it.
One large Lo Shu square to complete, four of its nine cells empty, the sum 15 printed under it. | zuzuzi.com

3x3 Magic Square, Numbers 1 to 9 (N3)

One large Lo Shu square to complete, four of its nine cells empty.
One large Lo Shu square to complete, four of its nine cells empty. | zuzuzi.com

3x3 Magic Square, Numbers 1 to 9 (N4)

One large Lo Shu square to complete, four of its nine cells empty.
One large Lo Shu square to complete, four of its nine cells empty. | zuzuzi.com

3x3 Magic Square, Numbers 1 to 9 (N5)

One large Lo Shu square to complete, four of its nine cells empty.
One large Lo Shu square to complete, four of its nine cells empty. | zuzuzi.com

3x3 Magic Square, Numbers 1 to 9 (N6)

One large Lo Shu square to complete, four of its nine cells empty.
One large Lo Shu square to complete, four of its nine cells empty. | zuzuzi.com

3x3 Magic Square, Numbers 1 to 9 (N7)

One large Lo Shu square to complete, four of its nine cells empty.
One large Lo Shu square to complete, four of its nine cells empty. | zuzuzi.com

3x3 Magic Square, Numbers 1 to 9 (N8)

One large Lo Shu square to complete, four of its nine cells empty.
One large Lo Shu square to complete, four of its nine cells empty. | zuzuzi.com

3x3 Magic Square with Its Sum, Numbers up to 30 (N9)

A big 3x3 square of numbers up to 30 with five empty cells, its sum printed under it.
A big 3x3 square of numbers up to 30 with five empty cells, its sum printed under it. | zuzuzi.com

3x3 Magic Square with Its Sum, Numbers up to 30 (N10)

A big 3x3 square of numbers up to 30 with five empty cells, its sum printed under it.
A big 3x3 square of numbers up to 30 with five empty cells, its sum printed under it. | zuzuzi.com

3x3 Magic Square, Numbers up to 30 (N11)

A big 3x3 square of numbers up to 30 with five empty cells.
A big 3x3 square of numbers up to 30 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 30 (N12)

A big 3x3 square of numbers up to 30 with five empty cells.
A big 3x3 square of numbers up to 30 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 30 (N13)

A big 3x3 square of numbers up to 30 with five empty cells.
A big 3x3 square of numbers up to 30 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 30 (N14)

A big 3x3 square of numbers up to 30 with five empty cells.
A big 3x3 square of numbers up to 30 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 30 (N15)

A big 3x3 square of numbers up to 30 with five empty cells.
A big 3x3 square of numbers up to 30 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 30 (N16)

A big 3x3 square of numbers up to 30 with five empty cells.
A big 3x3 square of numbers up to 30 with five empty cells. | zuzuzi.com

3x3 Magic Square with Its Sum, Numbers up to 100 (N17)

A big 3x3 square of numbers up to 100 with five empty cells, its sum printed under it.
A big 3x3 square of numbers up to 100 with five empty cells, its sum printed under it. | zuzuzi.com

3x3 Magic Square with Its Sum, Numbers up to 100 (N18)

A big 3x3 square of numbers up to 100 with five empty cells, its sum printed under it.
A big 3x3 square of numbers up to 100 with five empty cells, its sum printed under it. | zuzuzi.com

3x3 Magic Square, Numbers up to 100 (N19)

A big 3x3 square of numbers up to 100 with five empty cells.
A big 3x3 square of numbers up to 100 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 100 (N20)

A big 3x3 square of numbers up to 100 with five empty cells.
A big 3x3 square of numbers up to 100 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 100 (N21)

A big 3x3 square of numbers up to 100 with five empty cells.
A big 3x3 square of numbers up to 100 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 100 (N22)

A big 3x3 square of numbers up to 100 with five empty cells.
A big 3x3 square of numbers up to 100 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 100 (N23)

A big 3x3 square of numbers up to 100 with five empty cells.
A big 3x3 square of numbers up to 100 with five empty cells. | zuzuzi.com

3x3 Magic Square, Numbers up to 100 (N24)

A big 3x3 square of numbers up to 100 with five empty cells.
A big 3x3 square of numbers up to 100 with five empty cells. | zuzuzi.com

One Big Square at a Time

A single square on the page means large cells, a calm layout and nothing to distract from the numbers. It suits children meeting magic squares for the first time, and adults who want to project a square on a board and solve it with the class, cell by cell, before handing out the practice sheets.

Three Ranges of Numbers

On a Lo Shu sheet, four cells are blank and the total never moves from 15, so the work stays with small sums. From sheet nine on, the numbers grow to two digits, five cells are blank, and each square brings a total of its own. Printing that total on the first sheets of each range lets beginners skip straight to the missing numbers.

In the Classroom

Use one sheet as a warm-up at the start of a math lesson, or let pairs of students race to the last cell, then check each line together. The workbook keeps the twenty-four pages in order, from the gentlest to the hardest.

Frequently Asked Questions

Why Does the Lo Shu Square Always Total 15?

Together, the numbers 1 to 9 make 45. The three rows split that amount equally, so a single row is worth 45 ÷ 3 = 15, and since columns and diagonals must match the rows, every line of the square ends at 15 as well.

How Many Cells Are Blank?

Four on a Lo Shu sheet, five once the numbers reach two digits. One line is always full at the start, so the total can be found before anything is written.

Which Sheets Print the Total?

Sheets N1 and N2, N9 and N10, and N17 and N18 show it under the square. On the remaining eighteen, the solver adds the full line to find it.