Directly Proportional and Inversely Proportional

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(0:01) What is Directly Proportional: In directly proportional relationships, doubling one quantity doubles the other. The formula is typically $y = kx$, where $k$ is the constant unit rate.
(1:15) What is Inversely Proportional: In inversely proportional relationships, doubling one quantity halves the other. Inversely proportional relationships keep the product of the two quantities constant. The formula is usually $xy = k$, where $k$ is a constant.

📂 Revision Cards

Directly proportional relationship between the number of watermelons and their total cost, with calculations. — 1) Directly Proportional

Inversely proportional chart showing number of workers and hours needed, demonstrating that more workers reduce the time required to complete a task. — 2) Inversely Proportional

Direct and inverse proportionality concepts with real-life examples showing the relationship between quantities and costs or time. — 3) Directly vs. Inversely Proportion

🍪 Quiz Time - Practice Now!

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Direct and Inverse Proportion

1 / 6

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

£36

£20

£24

£28

2 / 6

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

2

5

3

4

3 / 6

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

24

30

20

25

4 / 6

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

8.5 hours

6.5 hours

7.5 hours

8 hours

5 / 6

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

360 km

340 km

300 km

350 km

6 / 6

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?

24

18

12

8

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