Powers and Roots – GCSE Maths Revision and Worksheets

If you are revising for your GCSE Maths exam or maybe a topic test, then Powers and Roots is a core topic that you need to understand and master. From able to quickly identify squared numbers for Surd questions to being able to factorise the difference of two squares, knowing your powers, roots and squared numbers are one of those fundamental topics which you should fully understand to help you succeed in your GCSE Maths exam papers.

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What you need to know

What you need to know:

Indices (or powers) are a shorthand way of expressing multiplication by the same number multiple times. You should become very familiar with the idea that 6^3 is a more compact way of expressing the multiplication of 3 sixes together, or in other words 6^3 = 6 \times 6 \times 6. Similarly, with algebra a^4 = a \times a \times a \times a.

You are required to understand the meaning of powers, and apply it where necessary, but you are furthermore expected also to memorise all the squares up 15, i.e. 1^2 = 1, 2^2 = 4, 3^2 = 9, … up to and including 15^2 = 225.

It also necessary to understand and work with roots, which act as the inverse to powers/indices (much in the same sense that multiplication acts as the inverse to division). That is to say, if you take 4 to the 3rd power (i.e. you do 4^3 and get 64), and then you take the 3rd root of the answer, denoted by \sqrt[3]{64}, then you end up back where you started, with 4. Roots exist to perform the exact opposite role in mathematics to taking the power of something.

Powers and Roots Revision and Worksheets

Powers And Square roots
Level 1-3
Powers And Square roots (1)
Level 1-3
Powers And Square roots (2)
Level 1-3
Powers And Square roots (3)
Level 1-3
Powers And Square roots (4)
Level 1-3
Squaring a number
Level 1-3
Square Roots
Level 1-3
Square and cube of numbers (1)
Level 1-3
Square and cube of numbers (2)
Level 1-3
Square and cube of numbers (3)
Level 1-3
Cube of Numbers
Level 1-3
Cubing of Numbers
Level 1-3
Cubing Root
Level 1-3

Whether you are a GCSE Maths tutor in Leeds or a KS3 teacher in London, the Maths Made Easy powers and roots revision resources should be useful when setting homework and when looking to gain an understanding of how a pupil is progressing. You can find many more GCSE Maths resources via our main resource page.

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