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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 practical calculations: mixed review

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

Question 1

A fully submerged, non-porous solid raises a measuring-cylinder reading from 37 cm³ to 83 cm³. Its mass is 124.2 g. Find its density in g cm⁻³. Give your answer to 3 significant figures.

Before 37 cm³After 83 cm³Solid mass 124.2 g
Water readings before 37 cm³ and after 83 cm³. Fully submerged solid has mass 124.2 g. Levels are schematic; use the stated readings.

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

Question 2

An empty cylinder has mass 30 g. With 61 cm³ of liquid its mass is 91 g. Calculate the liquid density in g cm⁻³. Give your answer to 3 significant figures.

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

Question 3

A heater transfers energy to a 0.5 kg block at 40 W for 525 s. The block warms by 10 °C. Ignore energy transferred to the surroundings and apparatus. Find its specific heat capacity. Give your answer to 3 significant figures.

Heater 40 W for 525 sBlock 0.5 kg; rise 10 °CHeaterProbe
Heater power 40 W for 525 s; block mass 0.5 kg and temperature rise 10 °C. Energy losses are ignored as stated in the question.

gcse-thermal / heater / v1.0.0 / seed 209500 · Check interactively

Question 4

A heater supplies 11520 J. Of this, 5760 J goes to the surroundings and apparatus. The remaining energy warms a 0.6 kg sample by 24 °C. Find its specific heat capacity. Give your answer to 3 significant figures.

gcse-thermal / heat-loss / v1.0.0 / seed 314229 · Check interactively

Question 5

A spring is 14 cm long unloaded and 19 cm long under a 2 N force. The spring obeys Hooke’s law over this range. Find the spring constant. Give your answer to 3 significant figures.

Unloaded length 14 cmLoaded length 19 cmForce 2 N
Spring unloaded length 14 cm; loaded length 19 cm; applied force 2 N. The sketch shows arrangement, not a ruler reading.

gcse-springs / loaded-length / v1.0.0 / seed 418958 · Check interactively

Question 6

A straight force–extension line passes through (extension 0.01 m, force 1 N) and (0.09 m, 9 N). Force is on the vertical axis. The spring obeys Hooke’s law over this range. Calculate its gradient, which is the spring constant. Give your answer to 3 significant figures.

gcse-springs / graph-gradient / v1.0.0 / seed 523687 · Check interactively

Worked answers — GCSE practical calculations: mixed review

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

Question 1

  1. V = 83 − 37 = 46 cm³.
  2. ρ = 124.2 / 46 g cm⁻³.
  3. Answer: 2.70 g cm⁻³ (3 significant figures).

Question 2

  1. m = 91 − 30 = 61 g.
  2. ρ = 61 / 61 g cm⁻³.
  3. Answer: 1.00 g cm⁻³ (3 significant figures).

Question 3

  1. E = 40 × 525 = 21000 J.
  2. c = 21000 / (0.5 × 10) J kg⁻¹ °C⁻¹.
  3. Answer: 4.20 × 103 J kg⁻¹ °C⁻¹ (3 significant figures).

Question 4

  1. E_sample = 11520 − 5760 = 5760 J.
  2. c = 5760 / (0.6 × 24) J kg⁻¹ °C⁻¹.
  3. Answer: 400 J kg⁻¹ °C⁻¹ (3 significant figures).

Question 5

  1. x = 19 − 14 = 5 cm = 0.05 m.
  2. k = 2 / 0.05 N m⁻¹.
  3. Answer: 40.0 N m⁻¹ (3 significant figures).

Question 6

  1. k = (9 − 1) / (0.09 − 0.01) N m⁻¹.
  2. Answer: 100 N m⁻¹ (3 significant figures).