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IGCSE · Cambridge (CIE) · 0972

Calculate appliance energy costs from kWh tariffs

Use supplied fictional unit prices to calculate the energy part of an appliance's cost with clear billing boundaries.

Electrical energy and power pathway · 0972 (9–1) · 4.2.5
Exam scope and assessment notes

Core and Extended · Physics 0972, 2026–2028. Use the stated source, operating conditions and meter ranges. Written practice is self-checked. Human subject-teacher review, supervised practical competence and cumulative assessment remain pending. Cambridge states that IGCSE 0972 has the same subject content as IGCSE 0625, with 9–1 grading. This StudyForA pathway maps the 2026–2028 syllabus only. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. Cambridge has published a separate syllabus for 2029. StudyForA has not reconciled that version yet; this page supports exams in 2026, 2027 and 2028 only.

Before you begin

  • Calculate energy in kWh.
  • Multiply decimal quantities with units.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

A steady 0.8 kW input runs for 1.5 h. What energy is used?

What you will learn

  • Calculate kWh from stated appliance power and duration.
  • Multiply energy by a supplied per-kWh price.
Original multiappliance account uses 0.8 kW for 1.5 h and 0.1 kW for 4 h, totalling 1.6 kWh. A supplied fictional price of 0.25 currency units/kWh gives an energy charge of 0.40. It is not an actual tariff or complete bill including unspecified terms.Supplied fictional price0.8 kW × 1.5 h = 1.2 kWh0.1 kW × 4 h = 0.4 kWhTotal energy: 1.6 kWh0.25 currency units per kWhEnergy charge: 0.40Fixed charges are separate
Original multiappliance account uses 0.8 kW for 1.5 h and 0.1 kW for 4 h, totalling 1.6 kWh. A supplied fictional price of 0.25 currency units/kWh gives an energy charge of 0.40. It is not an actual tariff or complete bill including unspecified terms.

Calculate energy before price

For a supplied unit price, energy cost = energy in kWh × price per kWh. A constant 0.8 kW appliance running for 1.5 h uses 1.2 kWh. At a fictional price of 0.25 currency units per kWh, the energy charge is 0.30 currency units. These are practice prices, not current real electricity tariffs.

The price applies to energy, not to the power rating alone. Two appliances with different powers can have the same energy cost if their power–duration products match. Record the unit price and interval so the reader can see exactly which charge has been calculated.

Read the billing boundary

This calculation covers the specified energy charge. A total bill may also have standing charges, tax, tiered prices or other supplied terms; include them only if the question specifies them. If a fixed daily charge is supplied, add it once for that billing period rather than multiplying it by appliance energy.

Use actual or supplied average electrical input when an appliance cycles on and off. A 2 kW appliance that is on for one quarter of a 4 h interval has an effective on-time of 1 h, using 2 kWh under the stated zero-off-input model. Four hours of rated operation would be a different assumption.

Pause and explain

At 1.2 kWh and 0.25 currency units/kWh, what is the energy cost?

Put the idea to work

Worked example

A constant 0.8 kW input runs for 1.5 h at a fictional 0.25 currency units/kWh. Find the energy charge.

Show the worked solution
  1. Energy = 0.8 × 1.5 = 1.2 kWh.
  2. Price = 0.25 currency units per kWh.
  3. Cost = 1.2 × 0.25 = 0.30 currency units.

Answer 1.2 kWh; energy charge 0.30 currency units.

Try a topic test

Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Find energy cost at 0.8 kW for 1.5 h using a fictional price of 0.25 currency units/kWh.

Give me a hint

Calculate the energy product before applying the unit price.

Compare my reasoning
  1. Energy = 1.2 kWh.
  2. Cost = 1.2 × 0.25.
  3. Energy charge = 0.30 currency units.

1.2 kWh; 0.30 currency units.

Look for these in your work

  • Show the energy amount.
  • Keep the charge boundary clear.
2 · Independent

A 2 kW appliance is on for one quarter of a 4 h interval and uses zero input while off. At 0.30 currency units/kWh, find its energy cost.

Give me a hint

Use effective on-time under the explicitly supplied off-state assumption.

Compare my reasoning
  1. On-time = 4/4 = 1 h.
  2. Energy = 2 × 1 = 2 kWh.
  3. Cost = 2 × 0.30 = 0.60 currency units.

2 kWh; 0.60 currency units.

Look for these in your work

  • Use the duty fraction.
  • State the off-state model.
3 · Transfer

The energy charge is 0.30 currency units and a supplied fixed daily charge is 0.10. With no other terms, what is the daily total?

Give me a hint

Add the fixed daily amount once rather than treating it as a per-kWh rate.

Compare my reasoning
  1. Energy charge = 0.30.
  2. Fixed daily charge = 0.10.
  3. Total = 0.40 currency units.

0.40 currency units under the supplied billing terms.

Look for these in your work

  • Add the fixed charge once.
  • Do not invent extra terms.

Common mistakes

  • Price the energy rather than power alone.
  • Do not invent real tariffs.
  • Separate energy charges from fixed billing terms.
Recall without your notes

What can you explain now?

What is multiplied by a price per kWh?

Compare with the explanation

Energy measured in kWh.

The kWh unit cancels against the supplied per-kWh price to give a currency amount.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Calculate a supplied energy tariff with operating-time controls and state what billing terms the answer includes.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Physics (9-1)

Course scope and assessment

491 sequenced Physics lessons provide 1473 guided, independent and application problems. 58 of 58 syllabus sections have full linked teaching sequences; 0 sections remain pending. Three earlier starter overviews remain available but are not counted as full sequences. The map covers all six subject areas for 2026–2028 and keeps review and assessment limits visible. This is available content, not full programme completion, an exam grade or certified mastery. Written practice is self-checked. Supervised practical experience, cumulative assessment and human subject-teacher review remain pending. Paper method exercises do not demonstrate practical competence or complete either practical-assessment route. This is the separate 9–1 qualification 0972; Cambridge states that its 2026–2028 subject content is otherwise the same as 0625. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. The 2029 syllabus is separately published at https://www.cambridgeinternational.org/Images/764368-2029-syllabus.pdf and is not yet mapped here. This course supports exams in 2026, 2027 and 2028 only.

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