Gradients, tangents, and normals

Sample Gradients, tangents, and normals questions

A few of the 4 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 13 marksGrade 8
   Find the coordinates of the point on the curve $y = x^2 - 6x + 5$ where the gradient is $2$. [3]

What are the common mistakes in Gradients, tangents, and normals?

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.

• Finds an x-intercept by substituting the original y-value from a given point instead of correctly setting y=0 in the equation.

  The $x$-axis intercept requires setting $y=0$ (not the original $y$-value at $P$) - $0=2x+1 \Rightarrow x=-\dfrac{1}{2}$

Quick answers about Gradients, tangents, and normals

How many Gradients, tangents, and normals practice questions are there?

There are 4 self-marking IGCSE and Additional Maths Maths questions on Gradients, tangents, and normals, written for Cambridge IGCSE Additional Maths (0606), Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Higher and Single and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Gradients, tangents, and normals?

No. You can start practising Gradients, tangents, and normals straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.