GCSE Maths

GCSE Maths Solving Quadratics Exam Questions

Free GCSE Maths exam questions on Solving Quadratics, with full model answers. Covers solving quadratic equations by factorising.

Solving Quadratics exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About GCSE Maths Solving Quadratics

Solving Quadratics is a Grade 5+ GCSE Maths topic, so it mostly comes up on Foundation and Higher tier papers. These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.

What you need to know

  • Set to 0 Rearrange so one side is zero.
  • Factorise Then set each bracket to zero.
  • Two solutions Most quadratics have two.

Common mistakes in Solving Quadratics

  • Dividing by x and losing a solution.
  • Sign errors in solutions.

Try two Solving Quadratics exam-style questions

1. Solve x² − 5x + 6 = 0. (2 marks)

Show the mark scheme answer

x = 2 or x = 3

2. Solve x² = 4x. (2 marks)

Show the mark scheme answer

x = 0 or x = 4

Solving Quadratics FAQs

Which exam boards include Solving Quadratics?

These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.

What grade is Solving Quadratics in GCSE Maths?

It is a Grade 5+ topic, so it mostly appears on Foundation and Higher tier papers.

How should I use these Solving Quadratics questions?

Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.