Challenge at KS5 - Gradient function, Circles and Properties of functions

I created these resources to share with the department to improve our provision for stretching the most able in Year 12. They can all be seen as "low threshold, high ceiling" tasks with multiple entry points and loads of room for extension.

The original ideas come from Underground Maths and FMSP/Integral. The last one has less instruction because I wanted the department to come up with ideas.