Solving Quadratic Equations by Formula (Non-Calculator) WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Understanding of quadratic equations in the form ax2 + bx + c = 0, squaring numbers and simplifying expressions, calculating with directed numbers, order of operations (BIDMAS), substitution into formulas, and simplifying surds.
Learning Objective: Solve quadratic equations, including those that require rearrangement, by using the quadratic formula.
Solving Quadratic Equations by Formula (Non-Calculator) WORKSHEET DESCRIPTION
This worksheet introduces students to solving quadratic equations using the quadratic formula in a clear, structured way.
Section A begins with guided examples where pupils fill in the missing steps, helping them understand how the formula is applied and how each value of a, b, and c is substituted. Learners then use these steps to solve a series of quadratic equations, where the discriminant is always a perfect square.
Section B asks learners to solve a further 2 equations, unsupported.
In Section C pupils will discover some equations with irrational solutions. Answers are required as exact values, meaning pupils will be using and simplifying surds.
The step-by-step design makes this worksheet an ideal first introduction to the quadratic formula.
Section A begins with guided examples where pupils fill in the missing steps, helping them understand how the formula is applied and how each value of a, b, and c is substituted. Learners then use these steps to solve a series of quadratic equations, where the discriminant is always a perfect square.
Section B asks learners to solve a further 2 equations, unsupported.
In Section C pupils will discover some equations with irrational solutions. Answers are required as exact values, meaning pupils will be using and simplifying surds.
The step-by-step design makes this worksheet an ideal first introduction to the quadratic formula.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Solve quadratic equations, including those that require rearrangement, by using the quadratic formula.