Compound Measures (Speed, Density, Pressure) (Cambridge (CIE) IGCSE Maths)

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  • Define the term compound measure.

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  • Define the term compound measure.

    A compound measure is something calculated using more than one measurement, e.g. speed is calculated using distance and time.

  • True or False?

    Flow rate is an example of a compound measure.

    True.

    Flow rate is an example of a compound measure.

    It combines two measures (volume and time) by looking at the volume of fluid that moves over time, (e.g. cm3 / s).

  • Define the term population density.

    Population density is the measure of how many people there are per unit of area.

  • True or False?

    The units of a compound measure can be used to find the equation needed to calculate it.

    True.

    You can use the units of a compound measure to find the equation used to calculate it.

    For example, speed is often measured in km / h.
    Km (kilometres) is a measure of distance and h (hours) is a measure of time, so the calculation for speed is:

    Speed space equals fraction numerator space Distance over denominator Time end fraction

  • True or False?

    When using a formula triangle with a compound measure, you can add the two values at the base of the triangle to find the value at the top of the triangle.

    False.

    When using a formula triangle with a compound measure, you need to multiply the two values at the base of the triangle to find the value at the top of the triangle.

  • True or false?

    Speed is the measure of how much distance changes per unit of time.

    True.

    Speed is the measure of how much distance changes per unit of time.

  • Define the term density.

    Density is the measure of how heavy something is per unit of volume or area.

  • True or False?

    Density is measured in Pascals (Pa).

    False.

    Pressure is measured in Pascals (Pa).

    Density is measured in kg/m3.

  • What is the equation used to calculate speed?

    The equation used to calculate speed is:

    Speed equals Distance over Time.

  • What quantity could be measured with the units kg/cm3?

    The units kg/cm3 could be used to measure density (mass per volume).

  • What is the equation used to calculate density?

    The equation used to calculate density is:

    Density equals Mass divided by Volume.

  • True or False?

    Speed is measured in kg/m.

    False.

    Speed is measured in units like m/s or km/h.

  • What is the equation used to calculate pressure?

    The equation used to calculate pressure is:

    Pressure equals Force divided by Area.