This worksheet provides some purposeful challenging practice in using the quadratic formula to solve quadratic equations.

It begins with some straightforward quadratics equations in section A, the formula is provided, and learners are asked to write the values of a, b and c before giving the solutions.

In section B some more straightforward equations are given before ending with a few that required rearrangement. An extension question then provokes some thought about quadratic equations with no real solutions and asks for conditions of the discriminant for each type of solution.