GCSE Maths

GCSE Maths Factorising Harder Quadratics Exam Questions

Free GCSE Maths exam questions on Factorising Harder Quadratics, with full model answers. Covers factorising quadratics where a > 1.

Factorising Harder 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 Factorising Harder Quadratics

Factorising Harder Quadratics is a Grade 7+ GCSE Maths topic, so it mostly comes up on 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

  • Method Find numbers that multiply to ac and add to b.
  • Splitting Split the middle term and factorise in pairs.
  • Checking Expand to check.

Common mistakes in Factorising Harder Quadratics

  • Using c instead of ac.
  • Sign errors.

Try two Factorising Harder Quadratics exam-style questions

1. Factorise 2x² + 7x + 3. (2 marks)

Show the mark scheme answer

(2x + 1)(x + 3)

2. Factorise 3x² − 10x − 8. (2 marks)

Show the mark scheme answer

(3x + 2)(x − 4)

Factorising Harder Quadratics FAQs

Which exam boards include Factorising Harder Quadratics?

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

What grade is Factorising Harder Quadratics in GCSE Maths?

It is a Grade 7+ topic, so it mostly appears on Higher tier papers.

How should I use these Factorising Harder Quadratics questions?

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