Equivalent ratios and proportion

Sample Equivalent ratios and proportion questions

A few of the 23 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 3-4
   Priya's recipe for 6 cakes needs 3 eggs. Priya wants to make 36 cakes using the same ratio. Work out how many eggs Priya needs.
   Show the worked solution

   The ratio of 6 cakes to 3 eggs must stay equal: $\frac{6}{3} = \frac{36}{x}$

What are the common mistakes in Equivalent ratios and proportion?

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.

• Applies the wrong inverse operation when isolating the unknown (e.g. subtracts instead of adding, or vice versa)

  Divided 3 by the scale factor 3 instead of multiplying, since the quantity is scaling up not down

• Uses repeated addition (a constant difference) to scale a ratio/proportion instead of multiplying by a scale factor

  Added the difference in the number of batches of pancakes (12) to 2 instead of scaling both quantities by the same multiplier

• Compares total prices rather than price per unit when judging which item is better value

  Compared the total prices directly instead of working out the cost per gram for each size - the sizes are different, so only a unit rate makes them properly comparable

Quick answers about Equivalent ratios and proportion

How many Equivalent ratios and proportion practice questions are there?

There are 23 self-marking GCSE Maths questions on Equivalent ratios and proportion, 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 Equivalent ratios and proportion?

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