Being resourceful

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.

Can you work out which spinners were used to generate the frequency charts?

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Find the sum of this series of surds.

What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

Can you find the distance between the two trees using the information given?