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Tangrams

Can you make five differently sized squares from the tangram pieces?

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Baked Bean Cans

Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

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Three Squares

What is the greatest number of squares you can make by overlapping three squares?

Compare the Cups

Stage: 1 Challenge Level: Challenge Level:1
For this challenge, you will need lots of different cups.  This picture shows some:



Which might you choose if you wanted a lot to drink?  Why?
Which one would you choose if you did not want a lot to drink?  Why?
Could you arrange the cups in a line from the one that holds the most liquid to the one that holds the least liquid? 
How will you test whether you are right?

Photograph Acknowledgement
http://www.cupcompany.com/