Iterative Methods – GCSE Maths Revision and Worksheets

Iterative methods are one of the new topics that have been added into the GCSE Maths 9-1 course. There are different types of iterations that you need to get use to from iteration machines to contextualised questions with an iteration equation involved. Many students find this tricky due to the notation involved but the principle of solving iterations is pretty much the same each time it is just put into a different context. To practise the different types of iterative method questions, select the worksheets and test below.

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What you need to know

What you need to know:

Iteration means to carry out a process repeatedly, and in maths it is a method by which we can find approximate solutions to equations. It involves inputting a number into a formula, getting an output, and then putting that output back into the formula, and repeating this process until you’re satisfied with the accuracy of the answer (according to how accurate the question has asked you to be).

For this topic, you will be expected to:

  • Understand the process of iteration;
  • Understand the notation used: u_0 is the first term that you put into the formula, then the next terms obtained are u_1, u_2, etc., and furthermore iterative formulas are expressed like u_{n+1} = f(u_n), so each term is determined by putting the previous term into a formula;
  • Rearrange a given equation in order to obtain a suitable iterative formula;
  • Use an iterative formula to find an approximate solution to an equation (the ANS button on your calculator will come in very useful at this point).

Iterative Methods Revision and Worksheets

Iterative Methods
Level 6-7
Solving Equations using Iteration
Level 6-7
Equations: trial and improvement
Level 6-7

Iterative methods is another algebra topic that many students struggle to grasp and it is usually due to the notation involved. With the iteration questions and worksheets above teachers and tutors should find it easier to deliver iterations whilst helping students to understand the topic by providing them with many quality practice questions. For other GCSE Maths resources, similar to iterations, visit our comprehensive GCSE Maths revision page.

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