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Favourite

### Vector journeys

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

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Favourite

### Exploring cubic functions

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

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Favourite

### 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?

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Favourite

### Root hunter

In this short problem, try to find the location of the roots of
some unusual functions by finding where they change sign.

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### Polite Numbers

A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?