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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.

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.

Cazoom Maths Solving Equations Solving Quadratic Equations (By Completing The Square)

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Frequently Asked Questions

This solving equations worksheet is designed for students in Year 10 and Year 11 and aligns with the UK National Curriculum.