Help your students prepare for their Maths GCSE with this free reverse percentages worksheet of 44 questions and answers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
Some percentage problems require students to work backwards – for example, rather than finding the sale price of an item after a percentage decrease, they might be given the sale price and be asked to find the original price.
We can use the multiplier method for these calculations. To calculate a percentage reduction, we would multiply the original value by the percentage multiplier. To work backwards, we use the inverse operation, division, so we divide the sale price by the percentage multiplier.
A good non-calculator method is to get students to equate the sale price with the reduced percentage, and then use known amounts to find 100%. For example, if an item costs £40 after a 20% reduction, £40 represents 80% of the original amount. Dividing £40 by 8 gives 10%, and multiplying by 10 gets back to 100%.
Looking forward, students can then progress to additional number worksheets, for example a laws of indices worksheet or a standard form conversions worksheet. For students working at this level, we also have worksheets on topics like Pythagoras Theorem, trigonometry, vectors, and simultaneous equations.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensure a personalised revision programme that raises grades and boosts confidence.