Magic Square

A Maths Starter of The Day

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

Congratulations that is correct!

Are there any other ways to make a magic square using these numbers?

Sad

Your answer is not correct.

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

 

 

 

 

 

 

 

 

1

2

3

4

5

6

7

8

9


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Topics: Starter | Arithmetic

  • Transum,
  •  
  • Teachers can vary the difficulty of this starter. Classes requiring more support could be told the line total (15) and the teacher could drag some numbers into position to give the students a less difficult problem to solve. Answers can be found below and a self marking student version of this activity, for which the students can earn trophies, can also be found by following the link near the bottom of this page.
  • Mrs Boussouara's Maths Class S1, Holyrood Secondary School Gasgow
  •  
  • Mrs Boussouara's first year class thought this was hard but Charelle got the corrct answer. Well done Charelle!!
  • Mrs Dumble, Shanghai United International School, China
  •  
  • This was the first magic square for Mrs Dumble's class. We also talked about Lewis Carrol and his diagrams. Well done Lancelot!!

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This starter has scored a mean of 3.3 out of 5 based on 688 votes.


Previous Day | This starter is for 14 May | Next Day

 

Answers

There are eight solutions. Are they all completely different?

2 7 6
9 5 1
4 3 8

 

2 9 4
7 5 3
6 1 8

 

4 3 8
9 5 1
2 7 6

 

4 9 2
3 5 7
8 1 6
6 1 8
7 5 3
2 9 4

 

6 7 2
1 5 9
8 3 4

 

8 1 6
3 5 7
4 9 2

 

8 3 4
1 5 9
6 7 2

A magic square features in Dan Brown's The Lost Symbol. It is the Order Eight Franklin Square which was first published in 1769 by American scientist Benjamin Franklin.



Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

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Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...

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Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=May14

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=Magic

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Magic Square

Each row, column and diagonal should produce the same sum.

The short web address is:

Transum.org/go/?to=magic

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Unmagic Square

Unmagic Square

Like the magic square but all of the totals should be different.

The short web address is:

Transum.org/go/?to=unmagic

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Magic Square Puzzle

Find all of the possible ways of making the magic total from the numbers in this four by four magic square.

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Transum.org/go/?to=magicsquarepuzzle

 

Here are the oldest magic squares we know of:

Lo Shu Square

Lo Shu Square

The Lo Shu square on the back of a small turtle in the centre, surrounded by the signs of the Chinese Zodiac and the Eight trigrams, all carried by a large turtle

Dürer's Magic Square

This famous 4 by 4 magic square above can be seen in the picture below. Melencolia I is an engraving by the German Renaissance master Albrecht Dürer.

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