Year P16 Being curious

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?

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?

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?

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?

There are many different methods to solve this geometrical problem - how many can you find?

Can you work out the equations of the trig graphs I used to make my pattern?