You may also like

Doesn't Add Up

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

Parabolic Patterns

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

Exploring Cubic Functions

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Sketchorama

Age 14 to 16 Short
Challenge Level


Sketch the graph of the curve $y^{2} = x(2 - x)$




If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.







This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.