List

Extension Working Systematically

Shopping Basket
problem
Favourite

Shopping Basket

Age
11 to 16
Challenge level
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The items in the shopping basket add and multiply to give the same amount. What could their prices be?
Parabolic Patterns
problem
Favourite

Parabolic Patterns

Age
14 to 18
Challenge level
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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.

Expenses
problem
Favourite

Expenses

Age
14 to 16
Challenge level
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What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?
Difference Sudoku
problem
Favourite

Difference Sudoku

Age
14 to 16
Challenge level
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Use the differences to find the solution to this Sudoku.