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