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Completing the Square•
Non-Linear Functions•
Quadratic Functions

Completing the Square (B) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher Plus
Targeting grades: 8-9
Prerequisite knowledge: Factorising quadratics into double brackets.
Learning Objective: Factorise quadratic expressions into completing the sqaure form. Solve quadratic equations by completing the square

Completing the Square (B) WORKSHEET DESCRIPTION

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.

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

Cazoom Maths Non Linear Functions Completing The Square (B) Worksheet

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Solving Inequalities (B)

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Frequently Asked Questions

Students should be comfortable with factorising quadratics into double brackets before tackling this completing the square worksheet. This foundational skill will help them understand how to manipulate quadratic expressions and work backwards from factored form. Without this prerequisite knowledge, learners may struggle with the algebraic manipulation required in the more challenging sections.