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# Augustus' Age

In 1871 a mathematician called Augustus De Morgan died.

De Morgan made this puzzling statement about his age: he said that he was $x$ years old in the year $x^2$.

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Age 7 to 11

Challenge Level

In 1871 a mathematician called Augustus De Morgan died.

De Morgan made this puzzling statement about his age: he said that he was $x$ years old in the year $x^2$.

Can you discover which year De Morgan was born in?

Do you think anyone living at this time can say the same thing about their age and the year they were born? (That doesn't mean that they have to have been born the same year as De Morgan!)

This is a cartoon of De Morgan drawn by one of his students.

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?