Transum Software

Magic Square

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

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Random Unmagic 4 by 4 More 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.

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


Your answer is not correct.

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


















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

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.

Please contact me if you have any suggestions or questions.

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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 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait:

"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

Featured Activity

Three Ways

Three Ways

Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level.


"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.


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?"


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."

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.


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