Subjects

Careers

Open the App

Subjects

GCSE Maths Grade 5 Equations and Formulas PDF, Worksheets, and Questions

Open

60

0

B

Billie Chivers

15/06/2023

Maths

GCSE Maths All equations needed for a Grade 5

GCSE Maths Grade 5 Equations and Formulas PDF, Worksheets, and Questions

This comprehensive guide covers essential GCSE Maths formula sheet PDF content, focusing on trigonometry, geometry, and physics-related formulas. It provides a valuable resource for students preparing for GCSE maths grade 5 equations questions and answers.

Key points include:

  • Trigonometric ratios and rules (Sine Rule, Cosine Rule, SOHCAHTOA)
  • Area formulas for various shapes
  • Volume calculations for 3D objects
  • Density, speed, and pressure formulas
  • Pythagoras Theorem

This guide is particularly useful for students working on GCSE maths grade 5 equations worksheets and seeking all formulas needed for maths GCSE Edexcel Higher.

...

15/06/2023

1084

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

21 M

Pupils love Knowunity

#1

In education app charts in 17 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

 

Maths

1,084

15 Jun 2023

1 page

GCSE Maths Grade 5 Equations and Formulas PDF, Worksheets, and Questions

B

Billie Chivers

@billiechivers_tewq

This comprehensive guide covers essential GCSE Maths formula sheet PDF content, focusing on trigonometry, geometry, and physics-related formulas. It provides a valuable resource for students preparing for GCSE maths grade 5 equations questions and answers.

Key points include:

  • Trigonometric... Show more

All key
key Maths Famulas.
Sine Rule = SinA
SinB SinC
Cosine Rule=a² = b ² +c²-2bc cosA
OR
COSA=b²+(²+ -a²
GRADE 5-FOUNDATION
SOHCAHTOA
H
A

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Key Maths Formulas for GCSE Grade 5 Foundation

This page presents a comprehensive collection of essential mathematical formulas crucial for GCSE Grade 5 Foundation level. The formulas cover various topics including trigonometry, geometry, and physics-related calculations.

Trigonometric Formulas

The page begins with important trigonometric formulas, which are fundamental for solving problems involving triangles and angles.

Definition: The Sine Rule is given as sinAsin A / a = sinBsin B / b = sinCsin C / c, where A, B, and C are angles, and a, b, and c are the lengths of the sides opposite to these angles respectively.

Definition: The Cosine Rule is presented in two forms:

  1. a² = b² + c² - 2bc cos A
  2. cos A = b2+c2a2b² + c² - a² / 2bc2bc Where a, b, and c are side lengths, and A is the angle opposite side a.

Highlight: SOHCAHTOA is a mnemonic device for remembering the ratios in right-angled triangles:

  • Sin θ = Opposite / Hypotenuse
  • Cos θ = Adjacent / Hypotenuse
  • Tan θ = Opposite / Adjacent

Area Formulas

The guide provides formulas for calculating areas of various shapes, essential for GCSE maths areas and volumes formulas worksheets.

Example: Area of a rectangle = length × width Area of a triangle = 1/2 × base × height Area of a trapezium = 1/2 × a+ba + b × height, where a and b are the parallel sides Area of a parallelogram = base × height Area of a circle = πr², where r is the radius

Volume and Circumference Formulas

Formulas for calculating volumes of 3D shapes and circumference of circles are included, which are crucial for GCSE maths areas and volumes formulas PDF resources.

Example: Circumference of a circle = πd or 2πr, where d is diameter and r is radius Volume of a prism = area of cross-section × length Volume of a cylinder = πr² × height

Physics-Related Formulas

The guide also covers formulas related to physics concepts, useful for interdisciplinary problem-solving.

Definition: Density = mass / volume Speed = distance / time Pressure = force / area

Pythagoras Theorem

Highlight: The Pythagoras Theorem states that in a right-angled triangle, a² + b² = c², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

This comprehensive formula sheet serves as an excellent resource for students working on GCSE maths grade 5 equations PDF exercises and preparing for exams. It covers all the essential formulas needed for the foundation level, making it an invaluable tool for revision and problem-solving practice.

We thought you’d never ask...

What is the Knowunity AI companion?

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.

Where can I download the Knowunity app?

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

Is Knowunity really free of charge?

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

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google 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 S

iOS 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 Klich

Android 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.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

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 S

iOS 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 Klich

Android 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.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user