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5.1.1Scalar and vector quantities

AQA GCSE Physics (8463), Higher tier · Forces › Forces and their interactions

Practise Scalar and vector quantities. 13 exam-style questions on this subtopic, at up to four difficulty levels, with full mark schemes and a progress tracker. Free, no account needed.

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Sort the quantities in the list into scalar quantities and vector quantities.
Scalars: density, energy, power. Vectors: acceleration, momentum, weight.
State one vector quantity and one scalar quantity, other than force and distance.
Any correct vector (e.g. velocity) and any correct scalar (e.g. speed).
The forecast gives both a size and a direction for the wind.
What vector quantity is being described?
Velocity.

Sample questions

Written for this site in the style of AQA exam questions. They are not taken from real past papers.

Question 1Easy5 marks
(a) Which of these is a vector quantity?
Tick (✓) one box.[1]
  • Energy
  • Mass
  • Temperature
  • Velocity
(b) Which two of these are scalar quantities?
Tick (✓) two boxes.[2]
  • Acceleration
  • Displacement
  • Distance
  • Force
  • Time
(c) Describe the difference between a scalar quantity and a vector quantity.[2]
Show the answer and mark scheme
(a) Answer: Velocity
(b) Answer: Distance; Time
(c) Answer: A scalar has magnitude only; a vector has magnitude and direction.
  • a scalar quantity has magnitude (size) only
  • a vector quantity has magnitude and (an associated) direction
Question 2Medium6 marks
A student wrote down this list of physical quantities:
acceleration, density, energy, momentum, power, weight
(a) Sort the quantities in the list into scalar quantities and vector quantities.[2]
(b) Explain why weight is a vector quantity but mass is a scalar quantity.[2]
(c) A student says:
‘Temperature can have a negative value, so temperature must be a vector quantity.’
Explain why the student is wrong.[2]
Show the answer and mark scheme
(a) Answer: Scalars: density, energy, power. Vectors: acceleration, momentum, weight.
  • scalars: density, energy and power
  • vectors: acceleration, momentum and weight
(b) Answer: Weight is a force that acts in a direction (towards the centre of the Earth); mass has magnitude only.
  • weight is a force, which acts in a particular direction (downwards / towards the centre of the Earth)
  • mass has magnitude only / mass has no direction
(c) Answer: A negative temperature is a value below the zero of the scale, not a direction; temperature has magnitude only so it is a scalar.
  • a negative temperature is just a value below zero on the temperature scale / the minus sign does not show a direction
  • temperature has magnitude only (so it is a scalar)
Question 3Hard6 marks
A student says:
‘A car travelling around a roundabout at a constant speed of 10 m/s has a constant velocity, because its speed does not change.’
(a) Explain why the student is wrong.[3]
(b) A resultant force acts on the car as it travels around the roundabout.
State the direction of this resultant force.[1]
(c) Is the car’s acceleration around the roundabout a scalar quantity or a vector quantity? Justify your answer.[2]
Show the answer and mark scheme
(a) Answer: Velocity depends on direction too; the direction keeps changing round the roundabout, so velocity is not constant even though speed is.
  • velocity is a vector, so it depends on direction as well as speed
  • although the car’s speed is constant, its direction of motion continually changes around the roundabout
  • so the car’s velocity is not constant, even though its speed is
(b) Answer: Towards the centre of the roundabout.
  • towards the centre of the roundabout (of the circle)
(c) Answer: Vector, because its direction (towards the centre) is needed as well as its size.
  • vector
  • because the direction of the acceleration (towards the centre) is needed, as well as its size, to fully describe it

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