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HomeAQA GCSE MathematicsIteration and iterative methods to solve equations
AQA · GCSE · Mathematics

Iteration and iterative methods to solve equations
Practice Questions

40 AQA GCSE Mathematics questions on Iteration and iterative methods to solve equations, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Iteration and iterative methods to solve equations.

Try 2 sample questions on Iteration and iterative methods to solve equations

Question 1 · 1 mark · Difficulty 1/3

Why is iteration needed for an equation such as x³ + 3x − 5 = 0?

  1. Because it cannot be factorised or solved by a formula
  2. Because it has too many solutions to list
  3. Because it is not really an equation
  4. Because it has no solutions at all
Show answer & explanation
✓ Answer: ABecause it cannot be factorised or solved by a formula
The solution exists and is perfectly ordinary, but only a repeating process will get at it.
Question 2 · 1 mark · Difficulty 1/3

In an iterative formula, what is x₀?

  1. The number of iterations needed
  2. The exact root of the equation
  3. The final answer
  4. The starting value
Show answer & explanation
✓ Answer: DThe starting value
It is the first estimate, usually supplied by the question, and the first calculation from it produces x₁.
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AQA GCSE Mathematics: Iteration and iterative methods to solve equations FAQ

Is Kramizo free for AQA GCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Iteration and iterative methods to solve equations practice with other Mathematics topics or even switch to a totally different AQA subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Iteration and iterative methods to solve equations questions aligned to the official AQA GCSE Mathematics syllabus?
Every question is written against the published AQA GCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real AQA paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from AQA.
How is Iteration and iterative methods to solve equations typically tested on AQA GCSE Mathematics papers?
Iteration and iterative methods to solve equations appears across multiple question types on real AQA GCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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