GCSE Maths

GCSE Maths Quadratic Inequalities Exam Questions

Free GCSE Maths exam questions on Quadratic Inequalities, with full model answers. Covers solving quadratic inequalities.

Quadratic Inequalities 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 Quadratic Inequalities

Quadratic Inequalities is a Grade 8/9+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, 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

  • Roots Solve the equation first.
  • Sketch Decide which regions satisfy it.
  • Notation Two inequalities or one interval.

Common mistakes in Quadratic Inequalities

  • Treating it like a linear inequality.
  • Wrong region.

Try two Quadratic Inequalities exam-style questions

1. Solve x² − 4 < 0. (2 marks)

Show the mark scheme answer

−2 < x < 2

2. Solve x² − 5x + 6 ≥ 0. (2 marks)

Show the mark scheme answer

x ≤ 2 or x ≥ 3

Quadratic Inequalities FAQs

Which exam boards include Quadratic Inequalities?

These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, Edexcel IGCSE and OxfordAQA IGCSE.

What grade is Quadratic Inequalities in GCSE Maths?

It is a Grade 8/9+ topic, so it mostly appears on Higher tier papers.

How should I use these Quadratic Inequalities questions?

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