Reciprocal worksheet

Reciprocal worksheet

Help your students prepare for their Maths GCSE with this free Reciprocal worksheet of 30 + questions and answers

  • Section 1 of the reciprocal worksheet contains 20+ skills-based reciprocal questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied reciprocal questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 3 foundation and higher level GCSE exam style reciprocal questions 
  • Answers and a mark scheme for all reciprocal questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Reciprocal at a glance


The reciprocal of a number, also called the multiplicative inverse, is 1 divided by the number. It can also be found by raising the number to the power of −1. The reciprocal of a fraction is found by flipping the fraction so the numerator (the top number) and denominator (the bottom number) swap places.


This can be applied to whole numbers by first writing them as a fraction over 1. Finding the reciprocal of a fraction is useful when dividing fractions as it allows you to flip the second fraction and then change the divide sign to a multiply sign.


Looking forward, students can then progress to additional number worksheets, for example a Surds worksheet or a Simple Interest worksheet.



For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

Do you have KS4 students who need more focused attention to succeed at GCSE?

GCSE Maths Worksheets

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 ensures a personalised revision programme that raises grades and boosts confidence.

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