Lesson R11

R11 Compound units: speed, density, pressure and unit pricing Quiz: AQA Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson R11, Compound units: speed, density, pressure and unit pricing: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 3: Ratio, proportion and rates of change, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. A car travels 150 km in 2.5 hours. What is its average speed in km/h?

    • 52.5 km/h
    • 375 km/h
    • 60 km/h
    • 62.5 km/h

  2. A cyclist covers 36 km in 1 hour 30 minutes. What is her average speed in km/h?

    • 18 km/h
    • 54 km/h
    • 24 km/h
    • 27 km/h

  3. A metal block has mass 540 g and volume 200 cm³. What is its density?

    • 108000 g/cm³
    • 2.7 g/cm³
    • 0.37 g/cm³
    • 2.7 kg/cm³

  4. A force of 600 N acts on an area of 0.5 m². What is the pressure?

    • 1200 N/m²
    • 0.00083 N/m²
    • 1100 N/m²
    • 300 N/m²

  5. Brand A sells 500 g for £1.75. Brand B sells 750 g for £2.55. Which is better value per gram?

    • Brand B, at 0.44p per gram
    • Brand A, at 0.30p per gram
    • Brand A, at 0.35p per gram
    • Brand B, at 0.34p per gram

  6. Jo earns £84 for 12 hours of work. What is her hourly rate of pay?

    • £6.50 per hour
    • £96 per hour
    • £72 per hour
    • £7 per hour

  7. Which of these is a compound unit?

    • Hours
    • Litres
    • Kilograms
    • Metres per second

  8. Density is calculated using which formula?

    • mass × volume
    • mass − volume
    • mass ÷ volume
    • volume ÷ mass

  9. A bus travels at 48 km/h for 45 minutes. How far does it go?

    • 64 km
    • 48 km
    • 27 km
    • 36 km

  10. A substance has density 8 g/cm³. What is the mass of 25 cm³ of it?

    • 0.32 g
    • 200 g
    • 3.125 g
    • 33 g

  11. A tap fills a 90-litre tank at 15 litres per minute. How many minutes does it take?

    • 75 minutes
    • 1350 minutes
    • 0.17 minutes
    • 6 minutes

  12. A 3 kg bag of potatoes costs £2.19. What is the cost per kilogram?

    • £0.73 per kg
    • £1.46 per kg
    • £6.57 per kg
    • £0.37 per kg

  13. A car uses 6 litres of fuel to travel 90 km. How many litres does it use for 150 km?

    • 15 litres
    • 10 litres
    • 9 litres
    • 540 litres

  14. A pressure of 250 N/m² is produced by a force of 500 N. What is the area in m²?

    • 125000 m²
    • 2 m²
    • 250 m²
    • 0.5 m²

  15. A train travels 300 km in 2 hours 30 minutes. What is its average speed in km/h?

    • 750 km/h
    • 150 km/h
    • 120 km/h
    • 30 km/h

  16. A solid has density 2.5 g/cm³ and mass 3.75 kg. What is its volume?

    • 0.67 cm³
    • 3750 cm³
    • 1500 cm³
    • 9.4 cm³

  17. Car A travels 120 km in 1.5 hours and Car B travels 150 km in 2 hours. Which car is faster?

    • Car A, at 80 km/h, is faster than Car B at 75 km/h
    • Car B, at 80 km/h, is faster than Car A at 75 km/h
    • Car B, at 75 km/h, is faster than Car A at 80 km/h
    • Both cars travel at the same speed of 77.5 km/h

  18. A car drives 60 km at 30 km/h, then 60 km at 60 km/h. What is its average speed for the whole journey?

    • 90 km/h
    • 30 km/h
    • 45 km/h
    • 40 km/h

  19. A shop sells 1.2 litres of liquid for £3.60. A second shop sells 2.5 litres for £8.10. Which shop offers better value?

    • The second shop, at £3.10 per litre
    • The first shop, at £3.00 per litre
    • The second shop, at £3.24 per litre
    • Both shops cost the same per litre

  20. Sound travels at 340 m/s. How many seconds does it take to travel 2.55 km?

    • 7.5 minutes
    • 867 seconds
    • 7.5 seconds
    • 0.13 seconds

All AQA Maths quizzes