---
title: "Large magic square: free printable with answers"
description: "Free printable large magic squares with answers. A 5 by 5 grid using 1 to 25 for a long solve, with the completed grid on page two. No sign-up."
source: "https://www.oncebooks.com/magic-square/large"
---

1. [Home](https://www.oncebooks.com/)
2. [Magic square](https://www.oncebooks.com/magic-square)
3. Large

Free printable

# Large magic square

A large magic square is a 5 by 5 grid using the numbers 1 to 25, with every line summing to 65. It is a long, satisfying deduction, and like every puzzle here it has exactly one completion.

PuzzleDesign

Difficulty

Larger grids with fewer givens are harder. Every puzzle has one completion.

5×5 grid. Fill it with 1 to 25 so every row, column and diagonal sums to 65.

Theme

ClassicBoldSoftShadedNavyIndigoSkyTealEmeraldForestPlumBerryCrimsonEmberAmberCocoa

**Customise colours**

Numbers

Cell lines

Box lines

Page background

Style

StandardClean

Clean drops the title band and footer, leaving the grid.

Generate puzzlePrint / save PDF

Two pages: the puzzle and its completed answer. Every puzzle has one solution, checked by the same engine as our KDP studio.

## Want the whole book?

This makes one puzzle. Sign up to turn it into a full Magic Square book for Amazon KDP: hundreds of graded puzzles at any trim, as print-ready PDFs.

[Build the full book](https://app.oncebooks.com/publisher-studio/magic-square/edit?from=magic-square&v=2&s=eyJkaWZmaWN1bHR5IjoiRVZJTCIsImNvbG9yVGhlbWUiOnsidGhlbWVJZCI6ImNsYXNzaWMiLCJvdmVycmlkZXMiOnt9fX0)

Free to build · pay once to export

Preview

The puzzle and its completed answer, as they print.

Hide the preview

- Magic Square Evil

  Every row, column and diagonal sums to 65

  1

  Puzzle
- Magic Square Evil · Solution

  Every row, column and diagonal sums to 65

  2

  Solution

Generate puzzlePrint / save PDF

## How to solve a magic square

Fill the grid with each number from 1 to N² once so every row, column and both diagonals add up to the same total.

### The method

1. Find the magic total. For an N by N grid the total is N × (N² + 1) ÷ 2, printed under the grid, so a 3 by 3 is 15 and a 4 by 4 is 34.
2. Start where a line is nearly full. A row, column or diagonal with only one empty square is forced: the missing number is the total minus the others.
3. Use each number once. Every value from 1 to N² appears exactly once, so cross off numbers as you place them and you narrow the choices fast.
4. Cross rows with columns. A square has to satisfy its row, its column and any diagonal it sits on. Where only one unused number fits all of them, lock it in.

**The one rule**

Use 1 to N² once each so every row, column and both diagonals share the same sum.

**What the answer page shows**

The fully completed square is printed at the back.

**How the grades differ**

Bigger grids and fewer given numbers mean more to deduce before the grid settles.

**Good for**

Solvers who enjoy arithmetic and a tidy, self-checking grid.

## Making a whole magic square book?

This page makes one puzzle. To publish a book on Amazon KDP, the [KDP magic square maker](https://www.oncebooks.com/kdp-magic-square-maker) generates hundreds of graded puzzles at any trim, as a print-ready 300 DPI interior and solutions PDF. Generate once, export unlimited sizes.

## More printable magic squares

- [Easy magic square](https://www.oncebooks.com/magic-square/easy)
- [Medium magic square](https://www.oncebooks.com/magic-square/medium)
- [Hard magic square](https://www.oncebooks.com/magic-square/hard)
- [Magic squares for kids](https://www.oncebooks.com/magic-square/for-kids)
- [Magic squares for beginners](https://www.oncebooks.com/magic-square/for-beginners)

[See every printable magic square](https://www.oncebooks.com/magic-square)

## Questions

**Are these large magic square free to print?**

Yes. Generate the puzzle above and print it with its answer, at no cost and with no sign-up. It is free for classroom, home and personal use.

**Does every puzzle have one solution?**

Yes. Every puzzle is generated and checked so the given numbers fix exactly one completion, verified before it prints. The answer is on the second page.

**Can I make a magic square book to sell on KDP?**

Yes. The free tool makes one puzzle. The KDP magic square maker generates hundreds of graded puzzles at any KDP trim, as a print-ready 300 DPI interior and solutions PDF, so you can publish a book.