# Magic Square

## Arrange the given numbers in a three by three grid to make a magic square.

##### Level 1Level 2Level 3Level 4Level 5Level 6RandomUnmagic4 by 4More Puzzles

Drag the numbers into the green cells to make a magic square.
The totals of each row, column and diagonal should be the same.

Congratulations!
Claim your trophy by clicking on the red button below.
Are there any other ways to make a magic square using these numbers?

The totals of each row, column and diagonal should be the same. Try again.

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9

This is Magic Square level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

#### Digital Darts

An online darts game for one or two players requiring skill, strategy and mental arithmetic. It provides an enjoyable way to practise adding and subtracting two and three digit numbers.

## Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

Transum,

Monday, December 2, 2013

"As an extension activity consider the following questions:
How many magic squares are there that contain the numbers 5, 8 and 12? (ignore rotations and reflections).
Is the centre number of a magic square always one third of the row and column totals?
Can you create a magic square using only prime numbers?"

Transum,

Friday, June 2, 2017

"In the year 1514 the German artist Albrecht Dürer created an engraving called Melencolia with a magic square in the background. The image below shows an enlargement of the magic square. The date appears in the bottom row of the magic square.

"

Ian Stewart, Cabinet Of Mathematical Curiosities

Friday, June 2, 2017

"Using consecutive whole numbers and counting rotations and reflections of a given square as being the same there are precisely:

1 magic square of size 3 × 3
880 magic squares of size 4× 4
275,305,224 5×5 magic squares of size 5 × 5.

For the 6×6 case, there are estimated to be approximately 1.77 × 1019 squares."

Transum,

Saturday, February 17, 2018

"One method of finding a solution to a puzzle in which the digits one to nine have to be arranged in a particular formation is by trying every different permutation. This strategy however is very time consuming. Even if it only took one second to arrange the numbers and check whether a solution has been found, you would need to allow over one hundred hours to complete the task!

Developing a strategy with some insight or consideration of the number patterns might be a better course of action. Good Luck! "

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