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Maths Gcse Aqa Higher

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  1. Scatter-Graphs-And-Correlation Aqa Higher
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  2. Cumulative-Frequency-And-Box-Plots Aqa Higher
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  3. Histograms Aqa Higher
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  4. Statistical-Diagrams Aqa Higher
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  5. Averages-Ranges-And-Data Aqa Higher
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  10. Vectors Aqa Higher
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  11. 3D-Pythagoras-And-Trigonometry Aqa Higher
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  12. Sine-Cosine-Rule-And-Area-Of-Triangles Aqa Higher
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  35. Functions Aqa Higher
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  55. Introduction Aqa Higher
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Exam code:8300

Speed, density & pressure

What are speed, density and pressure?

  • Speed, density and pressure are frequently used compound measures

    • Speed is equal to distance divided by time

    • Density is equal to mass divided by volume

    • Pressure is equal to force divided by area

Formula Triangles for Speed, Density and Pressure

What should I know about speed, distance and time?

  • Speed is commonly measured in metres per second (m/s) or kilometres per hour (km/h)

    • The units indicate speed is distance per time
      Speed equals Distance over Time

  • ‘Speed‘ (in this formula) means ‘average speed‘

  • In harder problems there are often two journeys or two parts to one longer journey

What should I know about density, mass and volume?

  • Density is usually measured in grams per centimetre cubed (g/cm3) or kilograms per metre cubed (kg/m3)

    • The units indicate that density is mass per volume
      Density equals Mass over Volume

  • You may need to use a volume formula to find the volume of an object first

What should I know about pressure, force and area?

  • Pressure is usually measured in Newtons per square metre (N/m2)

    • The units of pressure are often called Pascals (Pa) rather than N/m2

    • The units indicate that pressure is force per area
      Pressure equals Force over Area

  • Remember that weight is a force

    • It is different to mass

Examiner Tips and Tricks

  • Look out for a mixture of units

    • Time can be given as minutes but common phrases like ‘half an hour’ (30 minutes) could also be used in the same question

    • Any mixed units should be those in common use and easy to convert, e.g., g to kg or m to km etc

Worked Example

A box exerts a force of 140 newtons on a table.
The pressure on the table is 35 newtons/m2.

p equals F over A <img alt=”p space equals space pressure
F space equals space force
A space equals space area” data-mathml='<math ><semantics><mrow><mi>p</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mi>pressure</mi><mspace linebreak=”newline”></mspace><mi>F</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mi>force</mi><mspace linebreak=”newline”></mspace><mi>A</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mi>area</mi></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”74″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2274%22%20width%3D%2296%22%20wrs%3Abaseline%3D%2236%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Ep%3C%2Fmi%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmi

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