• How to recognise equivalent fractions.
  • How to find a fraction in its simplest form.
  • How to find a fraction of an amount.
  • How to work backwards to find starting quantities.
  • How to find a fraction of a fraction.


In a year group of one-hundred and ninety-five children, sixty-five children sign up for an after school revision class. What fraction of children does not sign up for the class? Give your answer as a fraction in its simplest form.

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The table below shows the numbers of students from five schools that were entered for a higher tier exam, and the fraction of those students that passed.

What was the overall proportion of students that passed the exam? Give your answer as a fraction in its simplest form.

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The ‘Guide to the QTS Numeracy Skills Test’ book contains a full chapter on fractions, including step-by-step explanations and demonstrations of all the skills that you need to know, and a practice exercise on the topic with 20 questions.

If you would like to be sent fully worked solutions to that exercise, just pop your details in the boxes and we will send them over to you.

If you are still struggling with this topic, we have created a selection of resources to provide all the help you need.


  • QTS Numeracy Revision Book – The Guide to the QTS Skills Tests book devotes a whole chapter to the topic of fractions, with detailed methods, worked examples and plenty of practice questions for you to have a go at.
  • Practice QTS Numeracy Tests – Want to put your skills to the test and see how ready you are? Take a look at our selection of practice papers for the QTS numeracy test.
  • QTS Numeracy Revision Cheat Sheets – Our cheat sheets boil down everything you need to know to just the key points on the topic. They are a perfect resource for your last minute revision!
  • QTS Numeracy Coaching – Coaching is the ultimate in personalised support. Book your one-on-one Skype video calls where you can work through the issues that you struggle with at a pace that suits you.