Units and Fractions

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Direct and Inverse Proportion

Units and Fractions Direct and Inverse Proportion

🎬 Video Tutorial

  • (0:01) Identifying Direct Proportionality: In directly proportional situations, doubling one quantity doubles the other. The formula is typically $y = kx$, where $k$ is the constant unit rate.
  • (1:15) Identifying Inverse Proportionality: Inversely proportional relationships keep the product of the two quantities constant. The formula is usually $xy = k$, where $k$ is a constant.

📂 Revision Cards

Direct proportionality between the number of watermelons and their total cost, with calculations.
1) Direct Proportion
Inverse proportion chart showing number of workers and hours needed, demonstrating that more workers reduce the time required to complete a task.
2) Inverse Proportion
Direct and inverse proportionality concepts with real-life examples showing the relationship between quantities and costs or time.
3) Overview

🍪 Quiz

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Direct and Inverse Proportion

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Q: At a supermarket, 3 watermelons cost £12 in total. How much would 7 watermelons cost if each watermelon costs the same?

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Q: A factory task takes 5 workers 6 hours to complete. How many hours will it take if 10 workers are available?

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Q: A construction job requires 8 workers and 15 days to complete. How many days would it take if only 5 workers are available?

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Q: A train covers 360 km in 6 hours. How much time will it take to cover 450 km at the same speed?

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Q: A car consumes 12 litres of fuel to travel 240 km. How far can the car travel with 18 litres of fuel?

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Q: A project requires 16 workers to complete in 12 days. How many more workers would be required to complete the project in 8 days?

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