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Inverse Proportion Worksheet

Inverse Proportion Worksheet

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Help your students prepare for their Maths GCSE with this free inverse proportion worksheet of 38 questions and answers

  • Section 1 of the inverse proportion worksheet  contains 30 skills-based inverse proportion questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied inverse proportion questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam style inverse proportion questions 
  • Answers and a mark scheme for all inverse proportion 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

Download your free resource today

  • To receive this resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

  • This field is for validation purposes and should be left unchanged.

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Inverse proportion at a glance

 

When two amounts are inversely proportional to each other, one amount increases as the other decreases. Another way of looking at this is if x is inversely proportional to y then x is proportional to 1 divided by y. 

 

We see inversely proportional relationships in everyday life.  For example, the amount of time it takes to travel somewhere is inversely proportional to the speed at which we are travelling or the amount of time taken to complete a job is inversely proportional to the number of workers. 

 

For more complicated relationships involving inverse proportion, we can find the constant of proportionality, k, and use this to write a formula connecting the two amounts. With y being inversely proportional to x, the value of k is equal to the product of x and y.

 

Inverse proportion is also known as indirect proportion, or inverse variation.

 

Looking forward, students can then progress to additional ratio and proportion worksheets, for example a ratio worksheet or a simplifying and equivalent ratios worksheet.

 

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

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