Maths Resources GCSE Worksheets


Changing the Subject of a Formula worksheet

Changing the Subject of a Formula worksheet

Help your students prepare for their Maths GCSE with this free changing the subject of a formula worksheet of 45 questions and answers

  • Section 1 of the changing the subject of a formula worksheet contains 36 skills-based changing the subject of a formula questions, in 3 groups to support differentiation
  • Section 2 contains 5 applied changing the subject of a formula questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam questions on changing the subject of a formula  
  • Answers and a mark scheme for all changing the subject of a formula questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
  • Free downloadable and printable resources

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Changing the subject of a formula


We use formulae to work out the value of a variable given the values of other variables. For example, the formula Speed = Distance ÷ Time allows us to calculate speed given distance and time. Sometimes we want to work out one of the variables within the formula and to help us do this, we can rearrange the formula to make that variable the subject of the formula. We do this using inverse operations to move variables from one side of the equation to the other. For example, from Speed = Distance ÷ Time, we can multiply by time to get Speed × Time = Distance .


Let’s look at changing the subject of the following formula: a=frac{bx+c}{3}. We could make x the subject. The denominator on the right hand side is 3 so we first need to multiply by 3 to give us 3a=bx+c . Next, subtracting c gives us 3a-c=bx . Finally, dividing by b we get frac{3a-c}{b} = x. Notice now that the right hand side of the formula is just x and the left hand side is the algebraic expression x is equal to. We can swap these and write x=frac{3a-c}{b}.


Looking forward, students can then progress to additional rearranging equations worksheet or more algebra worksheets, for example a sequences worksheet, or a simultaneous equations worksheet.




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