Back to Proportion and inverse proportion

Print from your browser or save as PDF.

National 4 Applications of Mathematics

Proportion and inverse proportion Worksheet

Name: __________________________Date: ___________________________Class: __________________________

Answer each question clearly. Show working for any multi-step question and leave your final answer easy to read.

  1. 1

    A car travels further when it drives for more hours at the same speed. Which type of proportion is this?

  2. 2

    5 workers take 12 hours to complete a job. How long would 10 workers take at the same rate?

  3. 3

    A car travels 90 miles in 2 hours. How far does it travel in 5 hours at the same speed?

  4. 4

    In this situation, adding more workers means the same job takes less time. Is this direct or inverse proportion?

  5. 5

    3 taps fill a tank in 10 minutes. How long would 6 taps take at the same rate?

  6. 6

    A recipe uses 240 g of flour for 3 people. How much flour is needed for 9 people?

  7. 7

    4 machines take 24 minutes to fill bottles. How long would 8 machines take at the same rate?

  8. 8

    6 people share a cost of £72.00. How much does each person pay if 12 people share the same cost?

  9. 9

    5 people share a fixed cost equally and pay £6.00 each. How much would each person pay if 8 people shared the same cost?

  10. 10

    A recipe uses 200 g of rice for 4 people. How much rice is needed for 12 people?