Check you understand how the values of the circles determine the value of the square:

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Check you understand how the values of the circles determine the values of the squares:

why not install a flash player in your browser so you can use this interactiviy?
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I:n the triangles below, can you find the values of the circles?
You can use the interactive tool below to help you experiment.

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Look carefully at your answers.
Have you any observations?
Are there any patterns?
Are there any rules?
Do you always get single solutions?

Make up some arithmagons of your own.
Test out your predictions.

Can you devise a strategy to work out the value of the circles when you are given the value of the squares?

Can it help you with the following?

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Can you fill the circles irrespective of what is in the squares?

Have you now got a strategy for working out all arithmagons?

Does your strategy help you understand why all triangular arithmagons can be completed?

Describe and explain what you have discovered.

You may like to try the similar problems:
Olympic Magic
Magic W