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Printable Physics practice

Six original questions. Worked answers start on a separate page.

· Forces, energy and momentum PDF · DC circuits and electrical energy PDF · Waves, phase and interference PDF · GCSE density and measurement PDF · GCSE heating and changes of state PDF · GCSE Hooke’s law and elastic energy PDF · GCSE practical calculations: mixed review PDF

Each set number reproduces the same questions. For classroom display or interactive checking, open a question’s practice link.

Treat the given values as exact unless an uncertainty is stated.

GCSE density and measurement

Set 42 · Original PhysicsHelp questions · Selected AQA 8463 / OCR Gateway J249 skills

Question 1

An object has mass 0.1242 kg and volume 46 cm³. Calculate its density in kg m⁻³. Give your answer to 3 significant figures.

gcse-density / density / v1.0.0 / seed 42 · Check interactively

Question 2

A material has density 2700 kg m⁻³. Find the mass of 61 cm³ of it in kg. Give your answer to 3 significant figures.

gcse-density / mass / v1.0.0 / seed 104771 · Check interactively

Question 3

A rectangular block measures 2 cm × 3 cm × 2 cm and has mass 14.4 g. Calculate density in g cm⁻³. Give your answer to 3 significant figures.

Length 2 cm3 cm2 cmMass 14.4 g
Rectangular block: perpendicular dimensions 2, 3, 2 cm; mass 14.4 g. Sketch is not to scale.

gcse-density / regular-solid / v1.0.0 / seed 209500 · Check interactively

Question 4

A fully submerged, non-porous solid raises a measuring-cylinder reading from 34 cm³ to 55 cm³. Its mass is 56.7 g. Find its density in g cm⁻³. Give your answer to 3 significant figures.

Before 34 cm³After 55 cm³Solid mass 56.7 g
Water readings before 34 cm³ and after 55 cm³. Fully submerged solid has mass 56.7 g. Levels are schematic; use the stated readings.

gcse-density / displacement / v1.0.0 / seed 314229 · Check interactively

Question 5

An empty cylinder has mass 27 g. With 50 cm³ of liquid its mass is 77 g. Calculate the liquid density in g cm⁻³. Give your answer to 3 significant figures.

gcse-density / liquid / v1.0.0 / seed 418958 · Check interactively

Question 6

Convert a density of 7.8 g cm⁻³ to kg m⁻³. Give your answer to 3 significant figures.

gcse-density / conversion / v1.0.0 / seed 523687 · Check interactively

Worked answers — GCSE density and measurement

Set 42. Keep intermediate values unrounded. The stated practice checks accept values rounding to 3 significant figures.

Question 1

  1. V = 0.000046 m³.
  2. ρ = 0.1242 / 0.000046 kg m⁻³.
  3. Answer: 2.70 × 103 kg m⁻³ (3 significant figures).

Question 2

  1. m = 2700 × 0.000061 kg.
  2. Answer: 0.165 kg (3 significant figures).

Question 3

  1. V = 2 × 3 × 2 = 12 cm³.
  2. ρ = 14.4 / 12 g cm⁻³.
  3. Answer: 1.20 g cm⁻³ (3 significant figures).

Question 4

  1. V = 55 − 34 = 21 cm³.
  2. ρ = 56.7 / 21 g cm⁻³.
  3. Answer: 2.70 g cm⁻³ (3 significant figures).

Question 5

  1. m = 77 − 27 = 50 g.
  2. ρ = 50 / 50 g cm⁻³.
  3. Answer: 1.00 g cm⁻³ (3 significant figures).

Question 6

  1. 1 g cm⁻³ = 1000 kg m⁻³.
  2. ρ = 7.8 × 1000 kg m⁻³.
  3. Answer: 7.80 × 103 kg m⁻³ (3 significant figures).