You may also like

problem icon

Powerful Quadratics

This comes in two parts, with the first being less fiendish than the second. It’s great for practising both quadratics and laws of indices, and you can get a lot from making sure that you find all the solutions. For a real challenge (requiring a bit more knowledge), you could consider finding the complex solutions.

problem icon


You're invited to decide whether statements about the number of solutions of a quadratic equation is always, sometimes or never true.

problem icon

Factorisable Quadratics

This will encourage you to think about whether all quadratics can be factorised and to develop a better understanding of the effect that changing the coefficients has on the factorised form.

Name That Graph

Stage: 5 Challenge Level: Challenge Level:1

This resource is from Underground Mathematics (previously known as the Cambridge Mathematics Education Project).

Take a look at the parabola below.

Can you find an equation for this parabola?
  • In how many ways can you choose to show this equation?
  • Which format did you initially choose and why?
What is the same and what is different about your approach to finding an equation of the two parabolas below, compared to the example above?


  • What properties do the three parabolas have in common?
  • Is there an approach to finding the equation that works for all three of these parabolas, and indeed for any parabola you could be given?
  • Which approach to finding the equation was the most efficient? Is it the same approach for each example?

This is an Underground Mathematics resource.

Underground Mathematics is funded by a grant from the UK Department for Education and provides free web-based resources that support the teaching and learning of post-16 mathematics. It started in 2012 as the Cambridge Mathematics Education Project (CMEP).

Visit the site at to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.