Being resilient
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problemFavouriteMega Quadratic Equations
What do you get when you raise a quadratic to the power of a quadratic?
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problemFavouriteVector Walk
Starting with two basic vector steps, which destinations can you reach on a vector walk?
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problemFavouriteExploring Cubic Functions
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
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problemFavouriteBack 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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problemFavouriteKite in a Square
Can you make sense of the three methods to work out what fraction of the total area is shaded?
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problemFavouriteCurve Fitter
This problem challenges you to find cubic equations which satisfy different conditions.
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problemFavouriteAlways Perfect
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.