Sort these mathematical propositions into a series of 8 correct statements.

Can you find the maximum value of the curve defined by this expression?

Match the charts of these functions to the charts of their integrals.

Which of these infinitely deep vessels will eventually full up?

Can you hit the target functions using a set of input functions and a little calculus and algebra?

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

Consider these analogies for helping to understand key concepts in calculus.

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

Find the relationship between the locations of points of inflection, maxima and minima of functions.