Express a multiplicative relationship as a ratio or fraction

Sample Express a multiplicative relationship as a ratio or fraction questions

A few of the 18 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 4-5
   At an animal shelter, the ratio of cats to dogs is 2 : 1. Write the number of cats as a fraction of the total number of cats and dogs. Give your answer in its simplest form.
   Show the worked solution

   The ratio cats : dogs is 2 : 1, so there are 2 + 1 = 3 parts in total.

   cats make up $2$ of these $3$ parts, so as a fraction of the total this is $\dfrac{2}{3}$

What are the common mistakes in Express a multiplicative relationship as a ratio or fraction?

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.

• Inverts which quantity is the 'whole' when finding a fraction of another fraction

  Used 1 (the other quantity in the ratio) as the numerator instead of 2

• Finds a fraction of the wrong reference quantity (the total instead of a named part, or vice versa)

  Applied $\dfrac{1}{2}$ directly to the total 147, instead of recognising the fraction relates cars to vans only, not to the combined total

• Confuses a ratio comparison between two parts with the fraction of the total that one part represents

  Wrote the part:part ratio value 2/1 directly as a fraction, instead of 2 out of the total 3 parts

Quick answers about Express a multiplicative relationship as a ratio or fraction

How many Express a multiplicative relationship as a ratio or fraction practice questions are there?

There are 18 self-marking GCSE Maths questions on Express a multiplicative relationship as a ratio or fraction, written for AQA, Pearson, OCR across Higher tier. Each one is marked instantly and has a full worked solution.

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