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# A Right Charlie

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### Cuisenaire Squares

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Age 7 to 11

Challenge Level

Charlie's house number is a three-digit square number.

This number when reversed is also a square and is Charlie's telephone extension at work.

His car registration number is a four-digit square number and is formed from his house number by repeating the right hand digit.

What is Charlie's house number?

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Find another number that is one short of a square number and when you double it and add 1, the result is also a square number.