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

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

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

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Which of these infinitely deep vessels will eventually full up?

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

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Can you make sense of this combination of trig functions?

Challenge Level

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

Challenge Level

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

Challenge Level

This problem challenges you to sketch curves with different properties.

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

Challenge Level

Can you make sense of this relationship between function and derivative?

Challenge Level

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