Maximum and minimum value by completing the square or differentiation

Sample Maximum and minimum value by completing the square or differentiation 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 7
   Consider the function $f(x) = x^2 - 6x + 11$. (a) Express $f(x)$

What are the common mistakes in Maximum and minimum value by completing the square or differentiation?

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.

• After completing the square inside a bracket with a factored-out coefficient, forgets to multiply the resulting adjustment constant back out by that coefficient before combining constants

  After factoring out the $2$, completing the square inside the bracket gives $(x-2)^2-4$ - this $-4$

Quick answers about Maximum and minimum value by completing the square or differentiation

How many Maximum and minimum value by completing the square or differentiation practice questions are there?

There are 4 self-marking IGCSE and Additional Maths Maths questions on Maximum and minimum value by completing the square or differentiation, 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.

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No. You can start practising Maximum and minimum value by completing the square or differentiation straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.