Iteration

Sample Iteration questions

A few of the 13 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 2
   The term-to-term rule for a sequence is "add 4 then divide by 2". The 1st term of the sequence is 36. Work out the 3rd term.
   Show the worked solution

   1st term = 36. 2nd term = (36 + 4) ÷ 2 = 20. 3rd term = (20 + 4) ÷ 2 = 12. M1 A1
2. Question 23 marksGrade 5
   A sequence has three terms. The term-to-term rule is "multiply by 8 and then add 11". The first term of the sequence is −1. (a) Work out the third term. (b) The order of the three terms is reversed to make a new sequence. Work out the term-to-term rule for this reversed sequence.
   Show the worked solution

   Second term: −1 × 8 + 11 = 3. M1

   (a) Third term: 3 × 8 + 11 = 35. A1

   (b) The reversed sequence is 35, 3, −1. To go from 35 to 3: (35−11)/8 = 3. To go from 3 to −1: (3−11)/8 = −1.

What are the common mistakes in Iteration?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Uses starting value as final answer

  Gave the iteration's STARTING value (2.5) as the final converged answer, without actually carrying out the iteration steps to see the value settle towards 2.3.

• Off by one iteration step

  Stopped one substitution too early and gave $x_2$ instead of $x_3$.

Quick answers about Iteration

How many Iteration practice questions are there?

There are 13 self-marking GCSE Maths questions on Iteration, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Iteration?

No. You can start practising Iteration straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.