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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### Parabolic Patterns

The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.

problem

Favourite

### Expenses

What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?