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Compound Units: Speed, Density & Best Value (Year 8)

Free printable UK Year 8 (Key Stage 3) maths worksheet: solve problems involving speed, density and unit pricing / best value.

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Grade 7 · Math worksheet
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Math

Compound Units: Speed, Density & Best Value

Use the compound-unit formula (rate = total / count) to solve each problem.

  1. 1.
    A car travels 450 km in 6 hours. Find its average speed.
  2. 2.
    A car travels 124 km in 4 hours. Find its average speed.
  3. 3.
    A cyclist rides at 53 km/h for 3 hours. Find the distance travelled.
  4. 4.
    A cyclist rides at 55 km/h for 2 hours. Find the distance travelled.
  5. 5.
    A block has a mass of 120 g and a volume of 12 cm3. Find its density.
  6. 6.
    A block has a mass of 54 g and a volume of 6 cm3. Find its density.
  7. 7.
    A material has a density of 5 g/cm3. Find the mass of 9 cm3 of it.
  8. 8.
    A material has a density of 3 g/cm3. Find the mass of 12 cm3 of it.
  9. 9.
    A pack of 9 pens costs £18. Find the price per pen.
  10. 10.
    A pack of 9 pens costs £81. Find the price per pen.
  11. 11.
    Pack A: 4 biscuits for £16. Pack B: 2 biscuits for £10. Which pack is better value, and what is the price per biscuit for each?
  12. 12.
    Pack A: 10 biscuits for £60. Pack B: 4 biscuits for £36. Which pack is better value, and what is the price per biscuit for each?
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