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GCSE Maths: Iteration

Use iteration to find approximate solutions to equations. Practise it with adaptive questions for AQA, Edexcel, OCR and Eduqas.

AlgebraFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on iteration, and what each one is really asking.

Use an iterative formula to generate a sequence of values
Find a solution to an equation using iteration to a specified accuracy
Rearrange an equation into an iterative form
Show that a root lies between two values using sign change

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Rounding intermediate answers (always use the exact value or ANS button)
  • Stopping too early before the value has converged to the required accuracy
  • Confusing the subscript notation (n and n+1)
  • Entering the formula incorrectly into the calculator

Iteration questions students ask

Is Iteration on the Foundation paper?

Yes. Iteration appears at both Foundation and Higher tier, though Higher papers take it further.

What should I know before starting Iteration?

It builds on Substitution and Calculator skills and Decimals and rounding. If those feel shaky, practise them first — Iteration questions assume them.

What is the most common mistake in Iteration?

Rounding intermediate answers (always use the exact value or ANS button).

Which exam boards cover Iteration?

All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.