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 block has mass 300300 g and volume 5050 cm3^3. Work out its density in g/cm3^3.
    Level 1 · 1 markTry it
  2. 2
    A force of 4040 N acts on an area of 88 m2^2. Work out the pressure.
    Level 1 · 1 markTry it
  3. 3
    A block of metal has mass 540540 g and volume 200200 cm3^3.

    (a) Work out the density of the metal, in g/cm3^3. (2 marks)

    Water has density 11 g/cm3^3. An object floats in water if its density is less than the density of water.

    (b) Will the block float in water? Give a reason. (1 mark)
    Level 2 · 3 marksTry it
  4. 4
    A solid metal cylinder has radius 44 cm and height 99 cm.

    The metal has a density of 7.87.8 g/cm3^3.

    Work out the mass of the cylinder.

    Give your answer correct to 3 significant figures. (3 marks)
    Level 2 · 3 marksTry it
  5. 5
    A pebble has mass 322322 g and volume 140140 cm³.

    Work out the density of the pebble.
    Level 2 · 2 marksTry it

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