Lesson T3.4.1

T3.4.1 Direct and inverse proportion Quiz: KS3 Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T3.4.1, Direct and inverse proportion: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 3: Ratio, proportion and rates of change, written with Revision Ninja.

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The 20 questions

  1. y is directly proportional to x. When x = 4, y = 20. What is y when x = 10?

    • 25
    • 50
    • 200
    • 40

  2. y is inversely proportional to x. When x = 2, y = 12. What is y when x = 6?

    • 36
    • 18
    • 4
    • 3

  3. 3 pens cost £4.50. At the same rate, how much do 5 pens cost?

    • £8.00
    • £7.00
    • £6.75
    • £7.50

  4. Which graph shows direct proportion?

    • A straight line through the origin
    • A curve that never touches the axes
    • A straight line not through the origin
    • A horizontal line

  5. Which graph shows inverse proportion?

    • A horizontal line
    • A straight line through the origin
    • A U-shaped curve
    • A curve that never touches the axes

  6. 5 workers take 12 hours to finish a job. How long will 10 workers take, if the work rate is the same for each?

    • 24 hours
    • 10 hours
    • 4 hours
    • 6 hours

  7. A journey of 60 km at 30 km/h takes 2 hours. How long does it take at 60 km/h?

    • 30 minutes
    • 1 hour
    • 2 hours
    • 4 hours

  8. A car uses 6 litres of petrol for 50 miles. How much petrol does it use for 150 miles?

    • 9 litres
    • 24 litres
    • 18 litres
    • 12 litres

  9. y is inversely proportional to x. When x = 8, y = 3. What is x when y = 6?

    • 16
    • 12
    • 2
    • 4

  10. In £ conversion, 5 euros is £4.20. How much is 15 euros?

    • £12.00
    • £14.00
    • £13.20
    • £12.60

  11. In an inverse proportion relationship, which quantity stays constant?

    • The difference x - y
    • The ratio x ÷ y
    • The sum x + y
    • The product xy

  12. A recipe uses 200 g of flour to make 8 cookies. How many cookies can be made from 300 g?

    • 15
    • 12
    • 10
    • 9

  13. 4 workers take 15 days to paint a fence. How long would 6 workers take?

    • 9 days
    • 22.5 days
    • 10 days
    • 20 days

  14. Which equation shows that y is directly proportional to x?

    • y = x²
    • y = x + 3
    • y = 4x
    • y = 2x + 1

  15. If y is inversely proportional to x and the graph passes through (1, 24), what is y when x = 3?

    • 8
    • 72
    • 3
    • 24

  16. If y is directly proportional to x and y = 7 when x = 2, what is y when x = 5?

    • 10
    • 14
    • 35
    • 17.5

  17. For inverse proportion with y = 10 when x = 0.5, what is y when x = 2?

    • 0.4
    • 20
    • 5
    • 2.5

  18. Which equation shows that y is directly proportional to x and that y = 10 when x = 4?

    • y = 40/x
    • y = 2.5x
    • y = x + 6
    • y = 2.5/x

  19. Three tickets cost £13.50. What is the cost of 7 tickets at the same price each?

    • £28.50
    • £31.50
    • £30.00
    • £32.00

  20. A runner covers 300 m in 60 seconds at a steady pace. How far do they run in 150 seconds at the same pace?

    • 750 m
    • 500 m
    • 450 m
    • 900 m

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