Sample exam questions - movement and interactions - AQA SynergyMaths questions
Understanding how to approach exam questions helps to boost exam performance. Question types will include multiple choice, structured, mathematical and practical questions.
Make sure you give answers to a suitable number of significant figures.
Maths questions might ask you to plot or complete a graph or table. When you draw a graph, make sure you:
plot each point accurately
draw a best fit straight line or curve, where appropriate
You may be given a grid with axes labelled and scales already given. Sometimes you may be given an empty grid for you to supply your own axes. When you do this:
put the independent variable on the x-axis and the dependent variable on the y-axis
choose even scales and make sure that the points cover at least half the given grid
label the axes with their quantity and unit, eg time (s)
Take extra care when converting between units.
This page contains AQA material which is reproduced by permission of AQA.
Sample question 1 - Foundation
Question
a) The kinetic energy of a moving car depends on the car's mass and speed.
Write down the equation that links kinetic energy, mass and speed. [1 mark]
b) A car has a mass of 1,650 kg.
Calculate the kinetic energy of the car moving at 30 m/s.
Give your answer in kilojoules (kJ). [2 marks]
a) Kinetic energy = 0.5 × mass × speed2 [1]
b) 0.5 × 1,650 × 302 [1]
= 742500 J [1]
= 742.5 kJ [1]
Sample question 2 - Foundation
Question
A heater has a power rating of 2,500 W.
The heater is turned on for 180 seconds.
Calculate the energy transferred by the heater.
Use the equation:
energy transferred = power × time
Give your answer in kilojoules (kJ). [3 marks]
energy = 2,500 × 180 [1]
= 450,000 [1]
= 450 kJ [1]
Sample question 3 - Higher
Question
A skater with a mass of 70 kg stands on the ice.
a) Write down the equation that links acceleration, change in velocity and time. [1 mark]
b) As the skater pushes away across the ice there is a small frictional force.
After pushing, the skater starts to move with a velocity of 5 m/s.
He slows to 3 m/s in 6 seconds.
Calculate the acceleration of the skater. [2 marks]
a)\(\text{acceleration} = \frac{\text{change in velocity}}{\text{time taken}}\) [1]
b)\(\frac{5 - 3}{6}\) [1]
= -0.33 (m/s2 ) [1]
Sample question 4 - Higher
Question
In an electrolysis cell the current is 1.5 × 105 A , at a potential difference of 4 V.
Calculate the energy transferred by the electrolysis cell in 24 hours. [5 marks]