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Question 30 - AQA GCSE Foundation Maths Past Paper 2 November 2021

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Question 28 - AQA GCSE Higher Maths Past Paper 1 November 2021

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Question 29 - AQA GCSE Foundation 2020 Past Paper 1 - Algebra, Algebraic Formulae, Rearranging Formulae Question By Topic

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Question 06 - OCR GCSE Foundation 2018 Past Paper 3 - Algebra, Substitution, Algebraic Equations, Linear Equations Questions By Topic

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Question 05 - OCR GCSE Foundation 2017 Past Paper 3 - Algebra, Substitution, Algebraic Equations, Linear Equations, Rearranging Formulae, Algebra Expression Formulae Questions By Topic

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Question 2 - OCR GCSE Foundation Sample Paper 3 - Algebra, Substitution, Algebraic Equations Rearranging Formulae Question By Topic

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Question 28 - AQA GCSE Foundation 2017 Past Paper 2 - Algebra, Rearranging Formulae, Questions By Topic

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Rearranging Formulae for GCSE Exam

1. What is Rearranging Formulae?

The ability to rearrange formulas or rewrite them in different ways is an important skill in algebra.

You will be familiar with the formula for the area of a rectangle which states A = l × w. Here A is the area, l is the length and w is the width. In the form A = l × w, we say that A is the subject of the formula. Usually, the subject of a formula is on its own on the left-hand side. If you know the value of l and w then you can substitute directly to find A.

2. Changing the Subject of the Formula

Changing the subject changes the form of the equation to display it in a different way. This is sometimes called the rearranging formula.

To rearrange a formula you may

  • add or subtract the same term to or from both sides 
  • multiply or divide both sides by the same term

2.1  Simple Formula

Example: Make 𝑥 the subject of the formula of a + 3x = y - b

a + 3x = y - b

Subtract a from both sides

3x = y - b - a

Divide both sides by 3

Rearranging Formulae Math formula 01

2.2 Formulae with brackets and fractions

If there are brackets included in the formula then it is easier if you expand them first. Remove any fractions by multiplying by the denominator/s

Example: Make 𝑥 the subject of the formula of a(x + y) = 2ay

Solution:

Rearranging Formulae Math solution 01

Example:

Rearranging Formulae Math solution 02

2.3 Formulae which require factorising first

When changing the subject you start by collecting the term that you want on one side of the equation. In some cases, the required subject will appear more than once in the given formula. In these examples, we factorise the terms involving the subject before proceeding further.

Example:

Rearranging Formulae Math solution 03

2.4 Formulae with roots and powers

If a formula contains a power or a root then this must be isolated before performing the inverse operation. It is important to remember that square and square root are inverse functions, similarly, cube and cube root.

Example:

Rearranging Formulae Math solution 04

Quiz
GCSE Rearranging Formulae

GCSE Topics

  • Statistics (274)
  • Probability (258)
  • Statistical Measures (5)
  • Numbers (1,084)
  • Data Visualisation (4)
  • Algebra (1,176)
  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

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    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

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