← Mathematics Standard 2 revision notes

HSC · Topic explainer

How to calculate electricity cost from kWh

Multiply power in kilowatts by running time in hours to get energy in kilowatt-hours. Multiply that energy by the tariff per kilowatt-hour. Divide watts by 1,000 to obtain kilowatts, and convert a tariff in cents to dollars before multiplying if the answer is required in dollars.

Worked example

A 1,800 W heater runs at rated power for 2.5 hours. Convert 1,800 W to 1.8 kW, then multiply by 2.5 h to get 4.5 kWh.

At 32 cents per kWh, the energy costs 4.5 × $0.32 = $1.44. If the heater cycles on and off, use its actual running time for this calculation. A daily supply charge is a separate item on a bill.

Convert 1,800 W to 1.8 kW. 1.8 kW × 2.5 h = 4.5 kWh. 4.5 kWh × $0.32 = $1.44.

Official exam practice

Find other years and marking guidance in the Mathematics Standard 2 official exam archive.