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Oak MathsTest · Maths

Combining densities

The starter and exit quiz of the lesson “Combining densities”, from the unit “Compound measures” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. The ___ of a substance is measured as the substance's mass per unit of volume.
  2. A metal block has a mass of 600 grams and a volume of 200 cm^3. What is the density of the metal?
  3. A rectangular block has a density of 2.5 g/cm^3, a length of 10 cm, a width of 4 cm, and a height of 5 cm. What is the mass of the block? Give your answer in g.
  4. A cylinder has a radius of 3 cm, a height of 10 cm, and is made of a material with a density of 7.8 g/cm^3. What is the mass of the cylinder? Give the answer in g to the nearest integer.
  5. A piece of wood has a mass of 240 grams and a density of 0.6 g/cm³. What is the volume of the wood? Give your answer in cm^3.
  6. Put the following densities in order, starting with the densest at the top.
  7. What are the benefits when combining metals to make an alloy compared to pure metals?
  8. A block of metal A has a mass of 400 g and a volume of 50 cm^3. A block of metal B has a mass of 300 g and a volume of 75 cm^3. What is the combined density of the two metals?
  9. Liquid X has a density of 1.2 g/cm^3 and a volume of 100 cm^3. Liquid Y has a density of 0.8 g/cm^3 and a volume of 150 cm^3. What is the combined density of liquid X and Y?
  10. A piece of wood (density 0.5 g/cm^3, volume 100 cm^3) is glued to a piece of plastic (density 1.4 g/cm^3, volume 50 cm^3). What is the average density of the combined piece?
  11. An alloy is made by combining 3 kg of metal K (density 5 g/cm^3) with 2 kg of metal L (density 3 g/cm^3). What is the density of the alloy in g/cm^3? Give your answer to 1 s.f in g/cm^3.
  12. A tank contains 2 litres of oil (density 0.9 g/cm^3) and 3 litres of water (density 1 g/cm^3). What is the density of the mixture in kg/m^3?

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Combining densities · Examplary