# Direct Proportion Worksheet • This field is for validation purposes and should be left unchanged.

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• Section 1 of the direct proportion worksheet  contains 18 skills-based direct proportion questions, in 3 groups to support differentiation
• Section 2 contains 3 applied direct proportion questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style direct proportion questions
• Answers and a mark scheme for all direct 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

### Direct proportion at a glance

If two amounts are proportional then the ratio between them is always the same. Proportional relationships can be direct or inverse. In direct proportion, as one amount increases or decreases, the other does the same.

We encounter proportional relationships and solve basic problems involving proportion regularly in our daily lives. For example, in cooking, we might know how much flour is needed to make 12 cupcakes and we can use that information to work out how much flour is needed to make 30 cupcakes.

For more complicated proportional relationships, we can find the constant of proportionality and use this to write a formula connecting the two values. Let y be directly proportional to x, then the constant of proportionality k is equal to y divided by x.

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

## Related worksheets

Proportion Worksheet Inverse Proportion Worksheet Directly Proportional Graph/ Inversely Proportional Graph Worksheet  ## Do you have KS4 students who need more focused attention to succeed at GCSE? 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.

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