Gradient and Rate of Change from Graphs: GCSE Maths Practice
Rates of change from graphs
Gradient and Rate of Change from Graphs
5 self-marking GCSE practice questions on Gradient and Rate of Change from Graphs, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.
Sample Gradient and Rate of Change from Graphs questions
A few of the 5 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 4-5
The graph shows the volume of water in a tank as it fills at a constant rate over 10 minutes, starting empty. Work out the rate at which the tank is filling.
What are the common mistakes in Gradient and Rate of Change from Graphs?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Gives the y-value instead of computing the gradient for an instantaneous rate of change
Gave the y-coordinate at the point of contact instead of reading the gradient of the tangent line
Uses the reciprocal of the correct gradient when finding an instantaneous rate of change
Calculated the reciprocal of the gradient (run over rise instead of rise over run)
Gives a points coordinate instead of the gradient when asked for an instantaneous rate of change
Gave the y-value of the point (4) rather than calculating the tangent's gradient
Quick answers about Gradient and Rate of Change from Graphs
How many Gradient and Rate of Change from Graphs practice questions are there?
There are 5 self-marking GCSE Maths questions on Gradient and Rate of Change from Graphs, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Gradient and Rate of Change from Graphs?
No. You can start practising Gradient and Rate of Change from Graphs straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
Show the worked solution
The rate of filling is the gradient of the line: rate=change in timechange in volume=10−050−0=5 litres per minute. M1A1
Question 22 marksGrade 7-9
The graph shows the curve y=x2. Draw a tangent to the curve at the point (3,9) and use it to estimate the gradient of the curve at x=3.
On the practice page you draw or plot the answer on screen.
Show the worked solution
The gradient of the curve at a point equals the gradient of the tangent drawn at that point. M1 Drawing a tangent at (3,9) and reading its gradient gives approximately 6. A1