Year 10 Direct and Inverse Proportion Worksheets (GCSE) | Printable PDFs
Year 10 Direct and Inverse Proportion worksheets for Year 10 Maths (Key Stage 4, GCSE). Students aged 14–15 learn how quantities can vary in direct proportion and use proportional relationships to solve problems. Direct proportion means that as one quantity increases, the other increases at the same rate. If one quantity doubles, the other doubles too. Inverse proportion means that as one quantity increases, the other decreases. If one quantity doubles, the other halves.
For example, direct proportion implies the more hours you work, the more money you earn, whereas inverse proportion implies that the more people helping with a job, the less time it takes to finish. Students investigate direct and inverse proportion and apply proportional reasoning in a variety of GCSE-style questions.
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Direct Proportion
Inverse Proportion
Proportional Reasoning
Common Questions about Year 10 Direct and Inverse Proportion
What does direct proportion mean?
Two quantities are directly proportional if they increase or decrease in the same ratio. If one doubles, the other doubles as well.What does inverse proportion mean?
Two quantities are inversely proportional if one quantity increases while the other decreases so that their product remains constant.How can you recognise a proportion problem?
Look for relationships where values change together in a predictable way and can be modelled using a constant multiplier or constant product.
Year 10 Direct and Inverse Proportion Common Mistakes
Common Mistake 1
Assuming every proportion problem is direct proportion, even when one quantity increases while the other decreases.Common Mistake 2
Forgetting to account for both variables, such as the number of people and the number of days.Common Mistake 3
Multiplying or dividing in the wrong direction instead of thinking carefully about whether the answer should increase or decrease.
Direct and Inverse Proportion Worksheets - Free Worksheets Above
Direct Proportion (A)
Direct Proportion (B)
Direct Proportion (C)