Rearranging Formulae – GCSE Maths Revision and Worksheets

Algebra is a huge part of the new GCSE Maths 9-1 course and rearranging formulae is part of this. Our dedicated rearrange formula revision page gives you the opportunity to practise questions and complete worksheets to help you feel more confident for your GCSE Maths exam. From rearranging simple linear equations to rearranging complex algebra equations with multiple terms and a factorisation step required, the rearranging equations questions below cover all aspects of the foundation and higher GCSE maths syllabus.

What you need to know:

A formula is a rule that expresses (usually by using algebraic symbols) some relationship between quantities. For example, we can calculate how quickly something is moving by taking the distance its travelled divided by the time it took to travel that distance. In other words, speed is equal to distance divided by time, so we express this formula as s = d \div t. Here, we say that s (speed) is the subject of the formula, as it sits on its own one side of the equation. You may be asked to rearrange a formula to change the subject. This boils down to, as equation manipulation always does, performing the same action to both sides of the equation so that it remains balanced. In this example, a question might ask us to make the d the subject, or in other words, manipulate the equation so that d is on its own on one side of the equation. If we multiply both sides of the equation by t, then s = d \div t becomes:

s \times t = (d \div t) \times t which gives us st = d

thus making d the subject of the formula. Naturally, the questions may require more than this one step, but it this principle of keeping the equation balanced whilst moving things around that is important.

Rearranging formulae is a topic that many students struggle with at the start but with the right resources and questions sheets they can overcome the difficulties they experience. Whether you are an A Level Maths tutor in Leeds or a GCSE Maths tutor in York, you will find these rearranging formulae a great addition to your bank of questions.