Curve Sketching Feature

Curve sketching can be a very useful tool when you are solving equations or inequalities, or for when you are wanting to find maximum or minimum values.  The problems in this feature will offer you the opportunity to develop your skills in using this valuable tool.

To accompany these problems, this Plus article discusses how the cubic graph $y=x^3$ lies behind the hidden dome of St Paul's Cathedral. You might also like to watch this video from Plus about a very special curve.

The last day for sending in solutions to our live problems is Monday 1 February 2021.

Curve Hunter live

Age 14 to 18
Challenge Level
This problem challenges you to sketch curves with different properties.

Exploring Cubic Functions live

Age 14 to 18
Challenge Level
Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Curve Fitter live

Age 14 to 18
Challenge Level
This problem challenges you to find cubic equations which satisfy different conditions.

Curvy Equation live

Age 16 to 18
Challenge Level
This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.