GCSE Maths

GCSE Maths Surds Exam Questions

Free GCSE Maths exam questions on Surds, with full model answers. Covers simplifying surds, rationalising denominators and calculating with surds.

Surds 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 Surds

Surds 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

  • Simplifying Take out square factors: √50 = 5√2.
  • Multiplying √a x √b = √(ab).
  • Rationalising Multiply by the surd or the conjugate.

Common mistakes in Surds

  • Adding surds with different roots.
  • Forgetting to multiply every term.

Try two Surds exam-style questions

1. Simplify √72. (1 mark)

Show the mark scheme answer

6√2

2. Rationalise 6/√3. (2 marks)

Show the mark scheme answer

2√3

Surds FAQs

Which exam boards include Surds?

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

What grade is Surds in GCSE Maths?

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

How should I use these Surds questions?

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