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'Venn Diagrams' printed from https://nrich.maths.org/

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Take a look at the interactivity below. Before you try anything, have a think about these questions:

What do you see?
What do you wonder?

 

We call this way of sorting information a Venn diagram (named after the mathematician John Venn).

Can you drag the numbers from 1 to 30 into their correct places in the Venn diagram?
How do you know where to put each number?

Here is another one for you to try.
How do you know where to put each number this time?

 

If you would prefer to work away from a screen, you could print off these sheets, which have a copy of each Venn diagram on them. 

Here is a screenshot (a picture) of the interactivity, but the labels of the Venn diagram are missing.

What could the labels be?

Here is another version of the interactivity for you to try.

What do you notice this time?
Can you explain your 'noticings'?
 

 

If you click on the purple cog of the interactivity, you can change the settings and create your own Venn diagrams for someone else to complete.