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MathsMaths467 views·Updated 3 Sept 2026·2 pages

Fun Inverse Proportions: Easy Problems and Solutions for Kids

A
Aizah Mohammad@aizahmohammad_vklx

Inverse proportionis a mathematical concept where as one quantity...

1
of 2
inverse proportions – page 1

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.

2
of 2
inverse proportions – page 2

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.

We thought you’d never ask...

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MathsMaths467 views·Updated 3 Sept 2026·2 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...

1
of 2
inverse proportions – page 1

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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.

2
of 2
inverse proportions – 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

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.

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.

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Explore the Pythagorean Theorem (a² + b² = c²) with clear examples and step-by-step calculations. This summary covers key concepts such as hypotenuse and right triangles, making it essential for understanding geometry. Ideal for students preparing for exams or needing a quick reference.

115785
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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.

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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