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Fun Inverse Proportions: Easy Problems and Solutions for Kids

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Aizah Mohammad

01/08/2023

Maths

inverse proportions

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Maths

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Ratio, proportion and rates of exchange

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Direct and inverse proportion

Fun Inverse Proportions: Easy Problems and Solutions for Kids

Inverse proportion is a mathematical concept where as one quantity increases, the other decreases proportionally. This guide provides example problems on inverse proportions with solutions and exam style questions for inverse proportions.

• The guide covers the basic concept of inverse proportion and provides step-by-step solutions to problems.
• It includes example problems on inverse proportions with answers and exam style questions for inverse proportions GCSE.
• The material is suitable for students learning about inverse proportion calculations step by step.

...

01/08/2023

416

Inverse Proportion. • As one thing increases, the other thing decreases. 1) y is inversely proportional to x. when x=2 y=6 Find the value of

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Page 2: Advanced Inverse Proportion Problems

This page continues with more complex inverse proportion examples with solutions, focusing on inverse proportion involving squared terms.

The main problem presented is:

Example: v is inversely proportional to x². When x=2, v=6. Work out the value of v when x=10.

The solution is provided in detail, showing how to:

  1. Determine the equation for the inverse proportion relationship.
  2. Calculate the constant of proportionality.
  3. Use the equation to find the new value of v.

Highlight: In this case, the inverse proportion formula is v = k/x², where k is the constant of proportionality.

This problem is an excellent example of inverse proportion calculations step by step, demonstrating how to handle more complex relationships.

Vocabulary: Squared inverse proportion - A relationship where one variable is inversely proportional to the square of another variable.

The page provides a comprehensive solution, making it an invaluable resource for students studying inverse proportion questions and answers at the GCSE level and beyond.

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Subjects

Maths

Ratio, proportion and rates of exchange

Direct and inverse proportion

 

Maths

•

416

•

1 Aug 2023

•

2 pages

Fun Inverse Proportions: Easy Problems and Solutions for Kids

A

Aizah Mohammad

@aizahmohammad_vklx

Inverse proportion is a mathematical concept where as one quantity increases, the other decreases proportionally. This guide provides example problems on inverse proportions with solutions and exam style questions for inverse proportions.

• The guide covers the basic concept... Show more

Inverse Proportion. • As one thing increases, the other thing decreases. 1) y is inversely proportional to x. when x=2 y=6 Find the value of

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Page 2: Advanced Inverse Proportion Problems

This page continues with more complex inverse proportion examples with solutions, focusing on inverse proportion involving squared terms.

The main problem presented is:

Example: v is inversely proportional to x². When x=2, v=6. Work out the value of v when x=10.

The solution is provided in detail, showing how to:

  1. Determine the equation for the inverse proportion relationship.
  2. Calculate the constant of proportionality.
  3. Use the equation to find the new value of v.

Highlight: In this case, the inverse proportion formula is v = k/x², where k is the constant of proportionality.

This problem is an excellent example of inverse proportion calculations step by step, demonstrating how to handle more complex relationships.

Vocabulary: Squared inverse proportion - A relationship where one variable is inversely proportional to the square of another variable.

The page provides a comprehensive solution, making it an invaluable resource for students studying inverse proportion questions and answers at the GCSE level and beyond.

Inverse Proportion. • As one thing increases, the other thing decreases. 1) y is inversely proportional to x. when x=2 y=6 Find the value of

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

Page 1: Introduction to Inverse Proportion

This page introduces the concept of inverse proportion and provides an example problem with a detailed solution. It also presents exam-style questions to reinforce understanding.

Definition: Inverse proportion occurs when as one quantity increases, the other decreases in proportion so that their product remains constant.

The page begins with a simple example:

Example: y is inversely proportional to x. When x=2, y=6. Find the value of y when x=4.

The solution is provided step-by-step, demonstrating how to find the constant of proportionality and use it to calculate the new value of y.

Highlight: The key formula for inverse proportion is y = k/x, where k is the constant of proportionality.

The page then presents two exam-style questions:

  1. A problem where y is inversely proportional to x, with given values to find an equation and calculate a new y value.
  2. A more complex problem involving inverse proportion with x².

These questions provide excellent practice for inverse proportion word problems and help students prepare for exams.

Vocabulary: Constant of proportionality - The value that remains constant in an inverse proportion relationship, often denoted as k.

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Paul T

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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.

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

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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