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

The video tutorial explains how to solve a problem involving points on a straight line with given ratios. The instructor uses a diagram to visualize the problem and calculates the ratios of AB to BC to CD. By scaling the ratios, the instructor finds the solution and reflects on the problem-solving process, emphasizing the importance of visual aids and scaling in solving ratio problems.

What is the initial ratio given for AB to BD?

• 1 to 5

• 2 to 5

• 3 to 5

• 4 to 5

How many times is BD longer than AB according to the initial ratio?

• 4 times

• 3 times

• 2 times

• 5 times

What is the purpose of multiplying the ratio 1 to 5 by 3?

• To make the ratio 3 to 15

• To make the ratio 2 to 10

• To make the ratio 4 to 20

• To make the ratio 5 to 25

What is the final ratio of AB to BC to CD?

• 3 to 5 to 11

• 3 to 6 to 11

• 3 to 4 to 11

• 3 to 15 to 11

What is a key takeaway about ratios from this problem?

• Ratios cannot be scaled.

• Ratios are not useful in geometry.

• Ratios are always unique.

• Ratios can be scaled to simplify problems.