GCSE Mathematics (9-1)

7.2 Compound measures: speed, density and pressure — Practise

  1. A car travels 210210 km in 3.53.5 hours. Find its average speed.
  2. A runner moves at 5.55.5 m/s for 4040 seconds. Find the distance.
  3. A train travels 9696 km at 8080 km/h. Find the time.
  4. A metal block has mass 780780 g and volume 100100 cm3^3. Find its density.
  5. A liquid has density 1.21.2 g/cm3^3 and volume 250250 cm3^3. Find its mass.
  6. A force of 600600 N acts on an area of 0.20.2 m2^2. Find the pressure.
  7. A pressure of 500500 Pa acts on an area of 0.40.4 m2^2. Find the force.
  8. A cyclist travels 900900 m in 22 minutes. Find the speed in m/s.
  9. H H A substance has mass 1.81.8 kg and volume 750750 cm3^3. Find its density in g/cm3^3.
  10. A vehicle travels 150150 km in 2.52.5 hours. State which calculation finds its speed, then work it out.
Answers and concise solutions

1. Average speed

Answer: 6060 km/h.

2. Distance travelled

Answer: 220220 m.

3. Journey time

Answer: 1.21.2 hours.

4. Density

Answer: 7.87.8 g/cm3^3.

5. Mass

Answer: 300300 g.

6. Pressure

Answer: 30003000 Pa.

7. Force

Answer: 200200 N.

8. Convert units then find speed

Answer: 7.57.5 m/s.

9. Density with unit conversion

Answer: 2.42.4 g/cm3^3.

10. Choose and use a formula

Answer: Speed is distance divided by time: 6060 km/h.

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