Finding a fraction of a quantity

Sample Finding a fraction of a quantity questions

A few of the 24 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 2-3
   Priya has 49 marbles. Work out $\frac{1}{7}$ of this amount.
   Show the worked solution

   Divide the total by the denominator to find one part: $49 \div 7 = 7$

What are the common mistakes in Finding a fraction of a quantity?

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.

• Gives an intermediate value (e.g. before the final division/simplification) as the final answer

  Assumed the fraction of an amount can never exceed the original amount, so gave the original total (12) instead of continuing to multiply by 5

• Inverts the numerator/denominator in a division/ratio context

  Divided the total by the numerator (1) instead of the denominator (2) to find one part

• Uses an original quantity in a calculation without accounting for a change to that quantity described elsewhere in the question

  Forgets that Sophia ATE one red grape, so the red count after should be one less than the original red count (16-1=15), not the original 16.

Quick answers about Finding a fraction of a quantity

How many Finding a fraction of a quantity practice questions are there?

There are 24 self-marking GCSE Maths questions on Finding a fraction of a quantity, 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 Finding a fraction of a quantity?

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