Being curious
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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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problemFavouriteParabolic 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.
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problemFavouriteVector 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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problemFavouriteWhich Spinners?
Can you work out which spinners were used to generate the frequency charts?
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problemFavouriteSumming Geometric Progressions
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
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problemFavouritePerception Versus Reality
Infographics are a powerful way of communicating statistical information. Can you come up with your own?
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problemFavouriteQuad in Quad
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
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problemFavouriteIff
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
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