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Math (SAT®)Math (SAT®)127 views·Updated 12 Sept 2026·2 pages

Mathematics Formulas and Equations

P
Pawarin Phetmalaikul@pawarinphetmalaikul_mqxt

Getting ready for your GCSE Maths Foundation exam? You'll have...

1
of 2
Math – page 1

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!

2
of 2
Math – page 2

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...

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

You can download the app from Google Play Store and Apple App Store.

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

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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.

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Samantha KlichAndroid user

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Math (SAT®)Math (SAT®)127 views·Updated 12 Sept 2026·2 pages

Mathematics Formulas and Equations

P
Pawarin Phetmalaikul@pawarinphetmalaikul_mqxt

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...

1
of 2
Math – page 1

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  • Access to all documents
  • Improve your grades
  • Join milions of students

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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!

2
of 2
Math – page 2

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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...

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

You can download the app from Google Play Store and Apple App Store.

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: Volume Formulas

1

Most popular content

9
SociologySociology

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.

1274,1462,307
SociologySociology

Sociology 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.

12103,2843,045
BiologyBiology

A-Level Biology Year 1 Overview

Comprehensive summary of AQA A-Level Biology Year 1, covering key topics such as cellular structure, protein synthesis, immune response, gas exchange, and more. Ideal for exam preparation and understanding biological concepts. Includes detailed insights into cellular processes, biological classification, and the circulatory system.

1215,234704
BiologyBiology

AQA Biology: Key Concepts

Explore essential AQA Biology topics including Photosynthesis, Respiration, Homeostasis, Genetics, and Ecology. This comprehensive knowledge organizer covers key concepts such as energy transfer, hormonal control, and genetic variation, providing a solid foundation for your studies. Ideal for exam preparation and understanding biological processes.

109,237316
MathsMaths

Comprehensive Maths Concepts

Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.

1180,3836,327
SociologySociology

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.

1251,8761,409
CriminologyCriminology

Criminal Justice Overview

Explore key concepts in criminal justice, including the trial process, roles of court personnel, types of offenses, and evidence handling. This comprehensive summary covers essential topics such as jury strengths and weaknesses, the role of the CPS, and the impact of media on trials. Ideal for students preparing for assessments in criminology. Achieved a B grade.

133,43872
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Comprehensive study notes covering key concepts in cellular biology, human digestion, respiration, photosynthesis, and the circulatory system. This resource includes detailed explanations of cell structures, enzyme functions, nutrient absorption, and the impact of environmental factors on biological processes. Ideal for students preparing for Biology Paper 1 exams.

1115,469391
English LiteratureEnglish Literature

An Inspector Calls: Character Insights

Explore in-depth analysis and key quotes for characters in J.B. Priestley's 'An Inspector Calls'. This resource covers Gerald Croft, Inspector Goole, Sheila Birling, Mrs. Birling, Eric Birling, and Eva Smith, focusing on themes of class, gender roles, and social responsibility. Ideal for students aiming for Grade 8 and above.

1125,742914

Students love us, and so will you.

4.6/5App Store
4.7/5Google Play

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.

Stefan SiOS user

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.

Samantha KlichAndroid user

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.

AnnaiOS user