Being resourceful
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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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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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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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problemFavouriteNegative Powers
What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?
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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.
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problemFavouriteTwo Trees
Can you find the distance between the two trees using the information given?