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Solving Quadratic Equations

Solving Quadratic Equations by Completing the Square WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Quadratic expressions, completing the square, solving linear equations.
Learning Objective: Solving quadratic equations by completing the square

Solving Quadratic Equations by Completing the Square WORKSHEET DESCRIPTION

This worksheet is designed to provide a scaffolded approach to solving quadratic equations by completing the square.

Section A provides four quadratics that have already been written in the completed square from and just need to be rearranged to give the solutions for x.

Section B then presents some quadratics with an x squared coefficient of one, four of which are equal to zero, and four requiring additional manipulation.

Section C then provides six quadratics with an x squared coefficient greater than one. For an extra challenge, the extension question asks learners to find missing coefficients and also derive the quadratic formula.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Solving Quadratic Equations by Completing the Square worksheet

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Frequently Asked Questions

This worksheet targets GCSE grades 6-7, making it suitable for students aiming for the higher end of the grading scale. The progressive structure means you'll build confidence through the scaffolded sections before attempting the more challenging problems. If you're comfortable with the prerequisite knowledge of quadratic expressions and basic completing the square, you should be ready to work towards these target grades.