GCSE · Compound units & rates

Density and pressureExam-style questions

Why density is mass packed into one unit of volume and pressure is force spread over one unit of area, how to rearrange both formulas by sense rather than by triangle, and why a mixture's density is never the average of the two densities.

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19 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    A crate weighs 480 N and rests on horizontal ground on a rectangular base measuring 0.6 m by 0.5 m.0.6 m0.5 mDiagram NOT accurately drawn

    Work out the pressure the crate exerts on the ground, in N/m².
    Level 4 · 3 marksTry it
  2. 2
    A force of FF newtons acting on an area of 0.4 m² produces a pressure of 250 N/m².

    (a) Work out the value of FF.

    (b) The same force now acts on an area of 0.2 m². Write down the new pressure, in N/m².
    Level 4 · 3 marksTry it
  3. 3
    A force of 6060 N acts on an area of 400400 cm².

    Work out the pressure in N/m².
    Level 4 · 3 marksTry it
  4. 4
    Two crates stand on horizontal ground.

    Crate AA weighs 300300 N and its base measures 0.50.5 m by 0.40.4 m.

    Crate BB weighs 360360 N and its base measures 0.60.6 m by 0.50.5 m.

    Which crate exerts the greater pressure on the ground? You must show your working.
    Level 4 · 3 marksTry it