AQA · Mathematics · 8300

GCSE Maths: Density

Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions and answers for Density (Corbettmaths Video 384), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. What is the formula for density?

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    Density = mass ÷ volume (ρ = m / V).

  2. How do you find volume from mass and density?

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    Volume = mass ÷ density.

  3. How do you find mass from density and volume?

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    Mass = density × volume.

  4. Wood has mass 8 g and volume 10 cm³. What is its density?

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    0.8 g/cm³ (8 ÷ 10).

  5. What volume has 300 g of metal with density 6 g/cm³?

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    50 cm³ (300 ÷ 6).

  6. A 5 cm glass cube has mass 306.25 g. What is its density?

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    2.45 g/cm³ — volume is 5³ = 125 cm³, and 306.25 ÷ 125 = 2.45.

  7. How many cm³ are in 1 m³?

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    1,000,000 cm³ (100 × 100 × 100).

  8. A stone ornament of volume 0.05 m³ has density 6.4 g/cm³. What is its mass?

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    320 kg — 0.05 m³ = 50,000 cm³, and 50,000 × 6.4 = 320,000 g.

  9. If 3 m³ of tin has mass 21,840 kg, what is tin's density?

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    7280 kg/m³ (21,840 ÷ 3).

  10. Wood will float on water if its density is under ? g/cm³.

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    1

  11. Liquids of density 1.25 and 0.98 g/cm³ are mixed 2:5 by volume. What is the mixture's density?

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    About 1.06 g/cm³ — total mass (2×1.25 + 5×0.98 = 7.4 g) divided by total volume (7 cm³).

  12. Block A has twice the density and six times the mass of block B. How many times B's volume is A's volume?

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    3 times — volume = mass ÷ density, so 6 ÷ 2 = 3.

  13. What is the mass of a glass hemisphere of diameter 6 cm and density 3 g/cm³?

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    About 170 g — volume = (2/3)π(3)³ = 18π ≈ 56.5 cm³, times 3 g/cm³ ≈ 169.6 g.

  14. How do you find the greatest possible density from rounded mass and radius?

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    Divide the upper bound of the mass by the volume from the lower bound of the radius (largest mass ÷ smallest volume).

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