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938

18 May 2023

4 pages

Year 8 Maths Revision: Pi, Algebra, Maths Terms

user profile picture

Scarlet

@sscqr

This document provides an overview of key mathematical concepts including... Show more

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

Introduction to Algebraic Equations

This page delves into basic algebraic concepts and equation solving techniques.

The fundamental principle of algebra is introduced: when a number is adjacent to a letter without a symbol between them, it implies multiplication.

Vocabulary: In algebra, juxtaposition placinganumbernexttoaletterplacing a number next to a letter indicates multiplication.

The page demonstrates how to solve equations using reverse operations:

Example: To solve -18 = 3x + 6:

  1. Subtract 6 from both sides: -24 = 3x
  2. Divide both sides by 3: -8 = x

Highlight: Equation solving is likened to balancing scales, emphasizing the importance of performing the same operation on both sides to maintain equality.

This content is particularly useful for students working on understanding algebraic equations for year 8 worksheets and aligns well with Algebra BBC Bitesize KS3 resources.

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

Expanding Algebraic Brackets

This page focuses on the expansion of algebraic brackets, both single and double.

For single brackets, each term inside the bracket is multiplied by the term outside. Examples are provided:

Example:

  • 4x+1x + 1 = 4x + 4
  • 3x+5x + 5 = 3x + 15
  • 4x2x - 2 = 4x - 8

The page also touches on expanding double brackets, noting that they should be expanded separately before collecting terms.

Highlight: When dealing with signs in expansions, remember:

  • A minus plus a minus makes a positive
  • Two pluses make a plus
  • A plus and a minus make a minus

The concept of checking answers using reverse operations is introduced, which is crucial for how to solve algebraic expressions Grade 8.

This content is excellent for students working on algebraic expressions Grade 8 pdf worksheets and Grade 8 algebraic Expressions Worksheet exercises.

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

Mathematical Terms and Definitions

This page provides definitions for key statistical terms used in mathematics.

Definition: Mean - The average of a set of numbers, calculated by summing all numbers and dividing by the count of numbers.

Definition: Mode - The most common number or value in a set of data.

Definition: Median - The middle number in an ordered set of numbers.

Definition: Range - The difference between the highest and lowest numbers in a set.

These definitions are essential for students working on mathematical terms definitions for year 8 revision worksheets and align with maths key words KS3 curricula.

This page serves as a concise maths glossary KS2 and maths glossary GCSE, providing a valuable resource for students to understand and use maths vocabulary PDF in their studies.

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

Understanding Pi and Circle Formulas

This page introduces the concept of pi ππ and its application in circle formulas.

Pi is defined as a mathematical constant approximately equal to 3.14159265359, often simplified to 3.14 for calculations. The page demonstrates how to use pi in calculating the area of a circle.

Definition: Pi ππ is a mathematical constant representing the ratio of a circle's circumference to its diameter.

An example problem is presented to calculate the area of a circle with a radius of 7cm:

Example: For a circle with a radius of 7cm diameter14cmdiameter 14cm, the area is calculated using the formula πr².

Area = π × 7² = 3.14 × 49 = 153.94 cm² roundedto2decimalplacesrounded to 2 decimal places

Highlight: The pi r squared formula πr2πr² is crucial for calculating the area of a circle.

This page provides a practical application of the 2 pi r formula for circumference of a circle and introduces students to using a pi formula calculator.



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

 

Maths

938

18 May 2023

4 pages

Year 8 Maths Revision: Pi, Algebra, Maths Terms

user profile picture

Scarlet

@sscqr

This document provides an overview of key mathematical concepts including pi, algebra, and statistical terms. It covers formulas, problem-solving techniques, and definitions essential for students in middle school mathematics.

  • Pi (π) is introduced as a mathematical constant with its approximate... Show more

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

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

Introduction to Algebraic Equations

This page delves into basic algebraic concepts and equation solving techniques.

The fundamental principle of algebra is introduced: when a number is adjacent to a letter without a symbol between them, it implies multiplication.

Vocabulary: In algebra, juxtaposition placinganumbernexttoaletterplacing a number next to a letter indicates multiplication.

The page demonstrates how to solve equations using reverse operations:

Example: To solve -18 = 3x + 6:

  1. Subtract 6 from both sides: -24 = 3x
  2. Divide both sides by 3: -8 = x

Highlight: Equation solving is likened to balancing scales, emphasizing the importance of performing the same operation on both sides to maintain equality.

This content is particularly useful for students working on understanding algebraic equations for year 8 worksheets and aligns well with Algebra BBC Bitesize KS3 resources.

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

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

Expanding Algebraic Brackets

This page focuses on the expansion of algebraic brackets, both single and double.

For single brackets, each term inside the bracket is multiplied by the term outside. Examples are provided:

Example:

  • 4x+1x + 1 = 4x + 4
  • 3x+5x + 5 = 3x + 15
  • 4x2x - 2 = 4x - 8

The page also touches on expanding double brackets, noting that they should be expanded separately before collecting terms.

Highlight: When dealing with signs in expansions, remember:

  • A minus plus a minus makes a positive
  • Two pluses make a plus
  • A plus and a minus make a minus

The concept of checking answers using reverse operations is introduced, which is crucial for how to solve algebraic expressions Grade 8.

This content is excellent for students working on algebraic expressions Grade 8 pdf worksheets and Grade 8 algebraic Expressions Worksheet exercises.

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

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

Mathematical Terms and Definitions

This page provides definitions for key statistical terms used in mathematics.

Definition: Mean - The average of a set of numbers, calculated by summing all numbers and dividing by the count of numbers.

Definition: Mode - The most common number or value in a set of data.

Definition: Median - The middle number in an ordered set of numbers.

Definition: Range - The difference between the highest and lowest numbers in a set.

These definitions are essential for students working on mathematical terms definitions for year 8 revision worksheets and align with maths key words KS3 curricula.

This page serves as a concise maths glossary KS2 and maths glossary GCSE, providing a valuable resource for students to understand and use maths vocabulary PDF in their studies.

Maths revision Pi
pi
Pi is a mathematical constant
which is normally symbolised as
π Pi is equal to 3.14159265359,
but when using in equatio

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

Understanding Pi and Circle Formulas

This page introduces the concept of pi ππ and its application in circle formulas.

Pi is defined as a mathematical constant approximately equal to 3.14159265359, often simplified to 3.14 for calculations. The page demonstrates how to use pi in calculating the area of a circle.

Definition: Pi ππ is a mathematical constant representing the ratio of a circle's circumference to its diameter.

An example problem is presented to calculate the area of a circle with a radius of 7cm:

Example: For a circle with a radius of 7cm diameter14cmdiameter 14cm, the area is calculated using the formula πr².

Area = π × 7² = 3.14 × 49 = 153.94 cm² roundedto2decimalplacesrounded to 2 decimal places

Highlight: The pi r squared formula πr2πr² is crucial for calculating the area of a circle.

This page provides a practical application of the 2 pi r formula for circumference of a circle and introduces students to using a pi formula calculator.

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