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


Share

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!!

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.3 out of 5 based on 689 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.

Texas Instruments Nspire Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

Apple iPad Pro

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more...

Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen.

Click the images above to see all the details of these items and to buy them online.

Online Maths Shop

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

Suggested

Magic Square

Magic Square

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

The short web address is:

Transum.org/go/?to=magic

Suggested

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

Suggested

Magic Square Puzzle

Magic Square Puzzle

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

The short web address is:

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.

Dürer's Melancholia

Magic Square Bridging Units from Smile Mathematics

Apple

©1997-2019 WWW.TRANSUM.ORG