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### Number and algebra

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# Shape and Territory

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### Fixing It

### OK! Now Prove It

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Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

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Age 16 to 18

Challenge Level

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Can you rewrite the equation using only two variables?

A and B are two fixed points on a circle and RS is a variable diamater. What is the locus of the intersection P of AR and BS?

Make a conjecture about the sum of the squares of the odd positive integers. Can you prove it?