Index Laws

Sample Index Laws questions

A few of the 58 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 2-4
   Work out $5^5$.
   Show the worked solution

   $5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 3125$

What are the common mistakes in Index Laws?

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.

• Ignores the negative sign on an index instead of taking the reciprocal

  Gave 4 instead of its reciprocal $\frac{1}{4}$ - a negative index still means "one over", even when combined with a fractional index

• Treats a fractional index as an ordinary multiplier instead of recognising it as a root

  Treats the fractional index as an ordinary multiplier, calculating $1000 \times \frac{1}{3} = 333.33$

Quick answers about Index Laws

How many Index Laws practice questions are there?

There are 58 self-marking GCSE and IGCSE Maths questions on Index Laws, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Index Laws?

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