Standard Form – GCSE Maths Revision and Worksheets

Standard form or standard index form is a technique that you have to learn and master for your GCSE Maths exams. You may get a question that asks you to put your answer in standard form or you may get a full on standard index form question that requires the full understanding of the rules and methods. Either way it is important that if you are preparing for your GCSE Maths that you revise standard form. Browse our selection of standard form worksheets and revision questions below as well as our online test.

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What you need to know

What you need to know:

Standard form is a shorthand developed for expressing numbers that are either very big or very small. You are required to do the following:

  • Recognise that any number written like: A \times 10^n is referred to as being in standard form only when the A is bounded by 1 \leq A < 10 and n is a whole number.

 

  • Be able to convert in and out of standard form. This amounts largely to relating the power of 10 (given by n above) to how many times you either have to divide or multiply your number, in order to satisfy the condition of it being greater than or equal to 1 but smaller than 10. For example:

4 \times 10^3 = 4 \times 10 \times 10 \times 10 = 4000.

  • Multiply and divide two numbers which are both in standard form. This process involves multiplying/dividing the two initial numbers, and then adding the powers of ten according to the laws of indices. For example:

\left(3 \times 10^8\right) \times \left(5 \times 10^{-6}\right) = 3 \times 5 \times 10^8 \times 10^{-6} = 15 \times 10^2 = 1.5 \times 10^3.

It’s important to note that you may end, as we did here, with a number not in standard form. You will lose a mark if you leave your answer like this, so make sure that the initial actually does fall between 1 and 10.

For teachers and tutors looking for standard form resources and revision materials then the worksheets and revision tests above should be exactly what you are looking for. With a range of worksheets to test all abilities and questions that progressively more difficult, hopefully you will find the Maths Made Easy standard form revision resource a useful addition to your portfolio of resources.

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