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Iteration
Topic practice
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Before you start
Write in black pen. Draw graphs and diagrams in pencil.
Write each answer in the space under its question.
Show your working: a correct method can earn marks even when the answer is wrong.
Questions marked need a calculator.
About this exam
Marks for each part are in brackets, like (3).
Read each question through once before you start writing.
Original MathedUp practice material: a topic collection, not an exam paper and not modelled on the format of one. Not affiliated with, endorsed by or produced by any exam board.
Sitting · www.mathedup.co.uk
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Iteration exam questions for GCSE maths, with worked solutions
Practise iteration with exam questions written the way GCSE Higher papers test them: using an iterative formula to approximate a solution, showing that a root lies between two values, and rearranging an equation into an iterative form. Every question comes with a worked solution and an answer, and Remix gives you a fresh version with new numbers whenever you want another go.
23 questions: 23 Higher. Every question has a worked solution and an answer. Type your answers in and the page marks them as you go.
What the questions cover
Using an iterative formula to find successive approximations
Iterating until the answer stops changing to a given accuracy
Showing a root lies between two values by a change of sign
Narrowing an interval to find a root to 1 decimal place
Rearranging an equation into a given iterative form
Recurrence relations in context, such as a debt that grows each year
How to use this page
Remix gives you a new version of the question in front of you, with new numbers.
New sitting refreshes every question at once.
Solution shows the full working, and Answer shows just the answer.
All questions lists the whole collection, and Scroll puts every question on one page.
Original MathedUp questions, written to practise the skills GCSE papers test. These are not past exam papers, and MathedUp is not affiliated with any exam board.