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Learning objective

1. Utilize standard measures of rate, such as calculating: • hourly wages • currency exchange rates • rates of flow • fuel efficiency. 2. Use additional measures of rate, including calculations for: • pressure • density • population density. The necessary formulas will be provided in the question. 3. Address problems related to average speed, requiring knowledge of the speed/distance/time formula. For example, if a cyclist covers 45 km in 3 hours and 45 minutes, determine their average speed. Notation examples include m/s (metres per second) and g/cm³ (grams per cubic centimetre).

Read the explanation, check the common trap, then practise with flashcards and questions.

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  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Number

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Quick explanation

1. Utilize standard measures of rate, such as calculating: • hourly wages • currency exchange rates • rates of flow • fuel efficiency. 2. Use additional measures of rate, including calculations for: • pressure • density • population density. The necessary formulas will be provided in the question. 3. Address problems related to average speed, requiring knowledge of the speed/distance/time formula. For example, if a cyclist covers 45 km in 3 hours and 45 minutes, determine their average speed. Notation examples include m/s (metres per second) and g/cm³ (grams per cubic centimetre)

  • This point belongs to Rates, especially Rates outcomes.
  • You need to be able to 1. Utilize standard measures of rate, such as calculating: • hourly wages • currency exchange rates • rates of flow • fuel efficiency. 2. Use additional measures of rate, including calculations for: • pressure • density • population density. The necessary formulas will be provided in the question. 3. Address problems related to average speed, requiring knowledge of the speed/distance/time formula. For example, if a cyclist covers 45 km in 3 hours and 45 minutes, determine their average speed. Notation examples include m/s (metres per second) and g/cm³ (grams per cubic centimetre).
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWork out

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Paper 2 structured question: Rates

Paper 2Core or Extended Mathematics2 marks

Description

Cyclist's Journey

A cyclist travels a distance of 90 km in 4 hours. Calculate the average speed of the cyclist in km/h.

  1. a

    Calculate the average speed of the cyclist.

    Aim for approximately 2 distinct marking points.

    [2]
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