This problem challenges you to sketch curves with different properties.

Can you match the charts of these functions to the charts of their integrals?

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

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

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

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

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

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

Can you find the volumes of the mathematical vessels?

Which of these infinitely deep vessels will eventually full up?

Can you rotate a curve to make a volume of 1?