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

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Making Boxes

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

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Special 24

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.

A Right Charlie

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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?