Throughout this worksheet, students will be writing expressions in ‘completing the square’ form, solving quadratics by completing the square and taking a look at how this format makes sketching the graphs of quadratics easier.

X squared has a coefficient of 1 for all the questions in section A. The sections build from expressions with two terms to answers that involve fractions.

Next, all the expressions in section B consist of a coefficient of x squared which is greater than 1.

Pupils are solving quadratics in section C. Knowledge of leaving answers in surd form is required here.

Our extensions sees learners drawing a graph of an equation from completed square form.