GCSE Maths

GCSE Maths Differentiation Exam Questions

Free GCSE Maths exam questions on Differentiation, with full model answers. Covers differentiating powers, gradients and turning points.

Differentiation exam questions

2 question packs of real past exam questions with their mark schemes. Answer every question without notes, then mark your answers line by line against the mark scheme.

About GCSE Maths Differentiation

Differentiation is a Grade 8/9+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit 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

  • Rule d/dx(xⁿ) = nxⁿ⁻¹.
  • Gradient Substitute x into dy/dx.
  • Turning points Set dy/dx = 0.

Common mistakes in Differentiation

  • Forgetting to reduce the power.
  • Not substituting back for y.

Try two Differentiation exam-style questions

1. Differentiate y = 3x² − 4x. (1 mark)

Show the mark scheme answer

6x − 4

2. Find the turning point of y = x² − 6x. (2 marks)

Show the mark scheme answer

(3, −9)

Differentiation FAQs

Which exam boards include Differentiation?

These questions suit Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.

What grade is Differentiation in GCSE Maths?

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

How should I use these Differentiation questions?

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