Systematic listing strategies

Sample Systematic listing strategies questions

A few of the 52 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 2-3
   Using each of the digits 5, 7 and 9 at most once, list all the two-digit numbers that can be made. Be systematic so you don't miss any or repeat any.
   Show the worked solution

   Fix the tens digit systematically (smallest first), then list every possible units digit for it before moving to the next tens digit - this way nothing is missed and nothing is repeated:

   Starting with 5: 57, 59

   Starting with 7: 75, 79

   Starting with 9: 95, 97 M1

   Full list: 57, 59, 75, 79, 95, 97 A1
2. Question 22 marksGrade 3
   George buys some food for £16.55. He pays the exact amount with two notes and four coins. List the notes and coins he could use.
   Show the worked solution

   Two notes: £10 + £5 = £15. This leaves £16.55 − £15 = £1.55 to be made with exactly four coins. M1

What are the common mistakes in Systematic listing strategies?

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.

• Counts the same combination more than once when listing outcomes

  Included a number that reuses a digit - each number must use three DIFFERENT digits, none repeated

• Omits a branch/outcome when systematically listing possibilities

  Only listed combos for starter 1 - a systematic list needs every starter (1 to 4) paired with every main, not just the first starter

• Ignored parity constraint

  Calculated the total number of arrangements of all 5 digits (5! = 120) without restricting the final digit to being odd.

Quick answers about Systematic listing strategies

How many Systematic listing strategies practice questions are there?

There are 52 self-marking GCSE Maths questions on Systematic listing strategies, 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 Systematic listing strategies?

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