GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Inverse Proportionality - Explained

The video tutorial explains how to solve problems involving inverse and direct proportions. It introduces the concept of finding the constant of proportion (K) and demonstrates a method to solve for Y when given values of X. The tutorial emphasizes the importance of understanding the difference between direct and inverse proportions and provides a step-by-step breakdown of solving a typical exam question, including how marks are allocated.

What is the key difference between inverse and direct proportion?

• Inverse proportion involves division, while direct proportion involves multiplication.

• Inverse proportion involves multiplication, while direct proportion involves division.

• Both inverse and direct proportion involve multiplication.

• Both inverse and direct proportion involve division.

What is the first step in solving an inverse proportion problem?

• Find the value of Y.

• Determine the value of X.

• Directly substitute the values into the equation.

• Calculate the constant of proportionality (K).

How do you calculate the constant of proportionality (K) in an inverse proportion problem?

• Divide the value of Y by X.

• Multiply the values of X and Y.

• Subtract the value of X from Y.

• Add the values of X and Y.

If X is 6 and the constant of proportionality (K) is 54, what is the value of Y?

• 6

• 9

• 12

• 18

What are the steps involved in solving an inverse proportion problem?

• Find K, write the formula, substitute values, and solve.

• Write the formula, find K, substitute values, and solve.

• Substitute values, find K, write the formula, and solve.

• Solve, write the formula, find K, and substitute values.