Unmagic Square

A Maths Starter Of The Day

Arrange the numbers in the blue cells to make an unmagic square.
The totals of each row, column and diagonal should all be different.

Congratulations that is correct!

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

Sad

Your answer is not correct.

Not all of your totals are different. Press the Clear button and try again.

 

 

 

 

 

 

 

 

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9


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Topics: Starter | Arithmetic | Problem Solving

  • Ceri Thomas, Cardiff High School
  •  
  • After solving the problem with the digits 1 to 9 try with
    (1) any 9 consecutive digits
    (2) any 9 consecutive multiples
    (3) any 9 evenly spaced decimals
  • Transum,
  •  
  • You can adapt this starter for your particular class by choosing to put some of the numbers for a particular solution in place (see answers below) and the students simply have to complete the square with the remaining numbers. If you then decide to use this starter with the same class on a different day you could choose number placings for a different solution and as there are 24960 different solutions that should keep you going for a long time!

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.

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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 239 votes.


Previous Day | This starter is for 24 September | Next Day

 

Answers

1 2 3
4 5 8
6 9 7


Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

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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=September24

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

Transum.org/go/?to=UnMagic

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

Apple

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