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

The video tutorial explains how to solve a geometry problem involving a straight line ABC, where the length of AB is five times that of BC, and the total length of AC is 90 cm. The solution involves understanding and applying the concept of ratios to divide the total length into parts, calculating the length of AB, and discussing the allocation of marks for each step. An alternative method is also briefly discussed.

What is the relationship between the lengths of AB and BC in the given problem?

• AB is three times the length of BC

• AB is equal to BC

• AB is five times the length of BC

• AB is twice the length of BC

If the total length from A to C is 90 cm, how is this length divided between AB and BC?

• In the ratio of 4:1

• In the ratio of 3:1

• In the ratio of 5:1

• In the ratio of 2:1

What is the length of AB if the total length from A to C is 90 cm?

• 60 cm

• 45 cm

• 30 cm

• 75 cm

How many marks are awarded for correctly calculating the length of AB?

• One mark

• Two marks

• Four marks

• Three marks

What alternative method is suggested for solving the problem?

• Using algebraic equations

• Using a graphical approach

• Using unit division

• Using a calculator