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.

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.