problem

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### Shopping Basket

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

problem

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### Exploring cubic functions

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

problem

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### Back fitter

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?