Getting ready for your GCSE Maths Foundation exam? You'll have...
Mathematics Formulas and Equations

Formulae Given in Your Exam
Good news - you won't need to memorise everything! Your exam paper will provide several key formulae when you need them.
Probability calculations become much easier with the given formula: P(A or B) = P(A) + P(B) - P(A and B). This helps you work out the chance of either event A or event B happening. Remember, you subtract the overlap to avoid counting it twice.
For geometry and measurement, you'll get the trapezium area formula and all the circle formulae (circumference and area). More complex 3D shapes like spheres and cones will have their surface area and volume formulae provided too. The kinematics formulae for motion problems will also be there when you need them.
Pythagoras' theorem and trigonometry ratios (sin, cos, tan) will be given, along with the compound interest formula. This means you can focus on understanding how to use these formulae rather than frantically trying to remember them.
Pro tip: Even though these formulae are provided, practise using them beforehand so you can apply them quickly during the exam!

Formulae You Must Memorise
Here's what you absolutely need to learn by heart - no help from the exam paper for these ones!
Basic area and volume formulae are essential knowledge. You must know how to find the area of rectangles (base × height), triangles (½ × base × height), parallelograms (base × height), and cuboids (length × width × height). The cylinder volume formula (πr²h) is also on your must-know list.
Compound measures are really just fancy ratios you need to memorise. Speed equals distance divided by time, density equals mass divided by volume, and pressure equals force divided by area. These pop up regularly in real-world maths problems.
The exact trigonometric values table might look scary, but focus on the common angles: 0°, 30°, 45°, 60°, and 90°. Learn the patterns - notice how sin and cos values are related, and how tan becomes undefined at 90°.
Memory hack: Create flashcards for these formulae and test yourself daily. The more you practise, the more automatic they become!
We thought you’d never ask...
Similar content
Most popular content: Volume Formulas
2Most popular content
9Sociology of Education Overview
Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.
Sociology of Families: Comprehensive Revision
Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.
Criminology: Crime & Punishment Overview
Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.
Comprehensive Crime & Deviance Overview
Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.
Cell Biology and Cell structure
cell structures
WJEC Unit 4 Criminology
Criminology unit 4 detailed revision note
Sociological Theories Overview
Comprehensive revision of key sociological theories including Functionalism, Marxism, Feminism, and Interpretivism. Explore concepts like value freedom, identity formation, and the critique of social control. Ideal for AQA A-Level Sociology students preparing for exams. This summary covers essential theories and their implications in sociology, providing a clear understanding of each perspective.
The functions of subcellular structures - B1 Biology
Flashcards on the different functions of subcellular structures: cell membrane, nucleus, mitochondria, ribosomes, cytoplasm, permant vacuole, chloroplasts and cell wall.
1.cells Gcse biology question cards
combined science higher biology
Students love us — and so will you.
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Mathematics Formulas and Equations
Getting ready for your GCSE Maths Foundation exam? You'll have access to some formulae during the test, but there are crucial ones you absolutely must memorise. Let's break down exactly what you'll be given and what you need to know...

Formulae Given in Your Exam
Good news - you won't need to memorise everything! Your exam paper will provide several key formulae when you need them.
Probability calculations become much easier with the given formula: P(A or B) = P(A) + P(B) - P(A and B). This helps you work out the chance of either event A or event B happening. Remember, you subtract the overlap to avoid counting it twice.
For geometry and measurement, you'll get the trapezium area formula and all the circle formulae (circumference and area). More complex 3D shapes like spheres and cones will have their surface area and volume formulae provided too. The kinematics formulae for motion problems will also be there when you need them.
Pythagoras' theorem and trigonometry ratios (sin, cos, tan) will be given, along with the compound interest formula. This means you can focus on understanding how to use these formulae rather than frantically trying to remember them.
Pro tip: Even though these formulae are provided, practise using them beforehand so you can apply them quickly during the exam!

Formulae You Must Memorise
Here's what you absolutely need to learn by heart - no help from the exam paper for these ones!
Basic area and volume formulae are essential knowledge. You must know how to find the area of rectangles (base × height), triangles (½ × base × height), parallelograms (base × height), and cuboids (length × width × height). The cylinder volume formula (πr²h) is also on your must-know list.
Compound measures are really just fancy ratios you need to memorise. Speed equals distance divided by time, density equals mass divided by volume, and pressure equals force divided by area. These pop up regularly in real-world maths problems.
The exact trigonometric values table might look scary, but focus on the common angles: 0°, 30°, 45°, 60°, and 90°. Learn the patterns - notice how sin and cos values are related, and how tan becomes undefined at 90°.
Memory hack: Create flashcards for these formulae and test yourself daily. The more you practise, the more automatic they become!
We thought you’d never ask...
Similar content
Most popular content: Volume Formulas
2Most popular content
9Sociology of Education Overview
Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.
Sociology of Families: Comprehensive Revision
Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.
Criminology: Crime & Punishment Overview
Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.
Comprehensive Crime & Deviance Overview
Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.
Cell Biology and Cell structure
cell structures
WJEC Unit 4 Criminology
Criminology unit 4 detailed revision note
Sociological Theories Overview
Comprehensive revision of key sociological theories including Functionalism, Marxism, Feminism, and Interpretivism. Explore concepts like value freedom, identity formation, and the critique of social control. Ideal for AQA A-Level Sociology students preparing for exams. This summary covers essential theories and their implications in sociology, providing a clear understanding of each perspective.
The functions of subcellular structures - B1 Biology
Flashcards on the different functions of subcellular structures: cell membrane, nucleus, mitochondria, ribosomes, cytoplasm, permant vacuole, chloroplasts and cell wall.
1.cells Gcse biology question cards
combined science higher biology
Students love us — and so will you.
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.