Rates and Speed

Ages 11–15

Difficulty adapts to you

Rates and Speed

A rate compares quantities with different units, such as kilometres per hour or naira per kilogram. Unit rates describe the amount for one unit.

Your goals

  • ✓You can compare quantities with different units.
  • ✓You can use rate, unit rate correctly.
  • ✓You can write both units and divide in the order asked.

Words to know

rate:
A comparison of two quantities measured in different units.
unit rate:
A rate written for one unit, such as kilometres per hour.

Examples

  • 1180 km in 3 hours gives an average speed of 60 km/h.
  • 2₦4,800 for 6 kg means ₦800 per kg.

Check these

  • • Do not reverse the quantities and produce the reciprocal rate.
  • • Keep every number, symbol, label, and unit in its correct place.
  • • Show enough working to check how you reached your answer.

Helpful habits

  • • Read the whole question before choosing what to do.
  • • Show one clear step at a time and check each step.
  • • If you are stuck, draw a model, try smaller numbers, or revisit the example.

Now try your own

Create your own rates and speed example, solve it, and explain how you checked it.

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