GCSE Secondary Maths Age 13-17 - Number: Utility Bills - Explained

The video tutorial explains how Henry can choose between two payment methods for his water usage: using a water meter or paying a flat annual fee. It details the calculation of annual water usage based on daily consumption, converting liters to cubic meters, and determining the cost with a water meter. The tutorial compares the costs of both methods, concluding that using a water meter is cheaper. It emphasizes the importance of unit conversion and provides a breakdown of marks for solving the problem.

What are the two payment options Henry is considering for his water usage?

• A water meter with a variable charge per liter, or a flat monthly charge.

• A water meter with a fixed charge and a variable cost per cubic meter, or a flat annual charge without a meter.

• A water meter with a fixed charge per liter, or a flat daily charge.

• A water meter with a fixed charge per cubic meter, or a flat weekly charge.

How is Henry's daily water usage converted to annual usage?

• By adding the daily usage for each month.

• By multiplying the daily usage by 30.

• By multiplying the daily usage by 365.

• By dividing the daily usage by 12.

What is the conversion factor from liters to cubic meters?

• 1 cubic meter equals 100 liters.

• 1 cubic meter equals 10,000 liters.

• 1 cubic meter equals 1,000 liters.

• 1 cubic meter equals 100,000 liters.

How is the cost of water usage calculated with a water meter?

• By multiplying the liters used by the cost per cubic meter and adding the fixed charge.

• By multiplying the cubic meters used by the cost per liter and adding the fixed charge.

• By multiplying the liters used by the cost per liter and adding the fixed charge.

• By multiplying the cubic meters used by the cost per cubic meter and adding the fixed charge.

What is the total annual cost of using a water meter for Henry?

• £88.13

• £28.20

• £107.00

• £59.93

Which payment method is cheaper for Henry?

• It depends on the season

• Using a water meter

• Both methods cost the same

• Not using a water meter

What is a common mistake students make when calculating the cost in this problem?

• Forgetting to multiply daily usage by 365.

• Converting liters to cubic meters incorrectly.

• Adding the fixed charge twice.

• Misinterpreting the cost in pence as pounds.