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Solving Quadratic Equations

Solving Quadratic Equations Using All Three Methods WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Factorising quadratic equations and expressions into double brackets and into completed square form. Substituting values into formula. Manipulating equations.
Learning Objective: Solving quadratic equations by factorising into double brackets, completing the square and using the quadratic formula.

Solving Quadratic Equations Using All Three Methods WORKSHEET DESCRIPTION

Students will practise using three methods for solving quadratic equations throughout this worksheet as well as considering their method of choice and the most efficient method for different equations. The three methods used are factorisation, completing the square and using the quadratic formula.

The worksheet begins with an example of each method being used. Learners will then use each method to solve three different equations.

Question 4, asks pupils to use each of the three methods to solve two equations.

Lastly, students will solve a further 6 equations using their chosen method.

Exact answers are used throughout so students can complete them without the use of a calculator.

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

Solving Quadratic Equations Using All Three Methods worksheet

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Frequently Asked Questions

This worksheet is designed for higher tier GCSE students in Year 10 and Year 11, specifically targeting grades 8-9. The content assumes students have already mastered the prerequisite skills of factorising quadratics and manipulating equations, making it suitable for those working at the top end of the GCSE grade range.