Mastering GCSE Maths Formulas: Your Ultimate Guide

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The General Certificate of Secondary Education (GCSE) Maths exam can be a daunting prospect for many students. One key aspect that plays a pivotal role in success is the mastery of essential formulae. In this comprehensive guide, we’ll list the crucial topics and formulae that are indispensable for acing your GCSE Maths exam.


  • Prime Numbers: Numbers only divisible by 1 and themselves.
  • Factors: Numbers that divide exactly into another number.
  • Multiples: A number that can be evenly divided by another.
  • Square Numbers: Result of multiplying a number by itself.


  • Basic Algebraic Expressions: Understanding terms, coefficients, and constants.
  • Solving Equations: Methods for solving linear equations.
  • Expanding Brackets: Applying the distributive property.
  • Factorising Expressions: Breaking down algebraic expressions.


  • Angles: Types of angles (acute, obtuse, right, straight).
  • Triangles: Properties of different types of triangles (equilateral, isosceles, scalene).
  • Quadrilaterals: Properties of rectangles, squares, parallelograms.
  • Circles: Circumference and area formulas.


  • Mean, Median, Mode: Measures of central tendency.
  • Range: The difference between the largest and smallest values.
  • Probability: Basic probability calculations.

Ratio and Proportion

  • Direct and Inverse Proportion: Understanding the relationship between quantities.


  • Sine, Cosine, Tangent: Ratios in right-angled triangles.

Number Patterns

  • Sequences: Identifying and extending number patterns.

Handling Data

  • Bar Charts, Pie Charts, Line Graphs: Data representation.
  • Frequency Tables: Organizing data into intervals.


  • Area and Perimeter: Formulas for rectangles, triangles, and circles.
  • Volume: Calculating volume for basic shapes.


  • Reflection, Rotation, Translation: Understanding basic geometric transformations.

Real-Life Applications

  • Applying Maths to Everyday Situations: Practical problem-solving.

Formulae Cheat Sheet

Here’s a quick reference for some of the essential formulae:

  1. Area of a Rectangle: \( \text{Length} \times \text{Width} \)
  2. Area of a Triangle: \( \frac{1}{2} \times \text{Base} \times \text{Height} \)
  3. Area of a Circle: \( \pi \text{r}^2 \)
  4. Circumference of a Circle: \( \text{Circumference} = 2 \pi \text{r} \)
  5. Pythagorean Theorem: \( a^2 + b^2 = c^2 \) (for right-angled triangles)


Memorizing these formulae and understanding their applications is fundamental to success in the GCSE Maths exam. Regular practice, problem-solving, and seeking clarification on any doubts will contribute to a strong foundation in mathematical concepts. Use this guide as a roadmap to confidently navigate the world of GCSE Maths and conquer your exams!

Study23 GCSE Maths Formula Flash Cards

If you’re looking for a set of GCSE Maths formulae flash cards, check out the Study23 GCSE Maths Formula Flash Cards. They’re a great way to revise and memorise all of the formulae for your GCSE Maths exams.

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