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WorksheetYear 10Level 3 · Challenge

Free Year 10 Conservation of Energy and Efficiency Calculations Worksheet

Students apply the law of conservation of energy to account for every joule in a device, then calculate efficiency as a percentage using energy and power, rearranging the formula to find useful output or total input. They analyse energy flow (Sankey) data, use gravitational potential energy (mgh) and kinetic energy (½mv²) to solve conservation problems for falling objects, roller coasters, bouncing balls and lifts, and explain how efficiency can be improved.

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Year
Year 10
Subject
Science
Topic
Energy, Light, Sound & Electricity
Difficulty
Level 3 · Challenge
Estimated time
45 minutes
Curriculum
Australian Curriculum
Questions
20
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • applying the law of conservation of energy
  • calculating efficiency as a percentage from energy or power values
  • rearranging the efficiency formula to find useful output or total input
  • interpreting energy flow (Sankey) data
  • calculating gravitational potential energy and kinetic energy
  • solving conservation of energy problems
  • explaining ways to improve efficiency

Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Conservation of Energy and Efficiency Calculations

  1. 1Electrical Power, Energy and the Cost of Electricity
  2. 2Specific Heat Capacity Calculations: Q = mcΔT

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown.
  3. Mark with the answer sheet. Use the model answers and success criteria as a guide rather than a single right answer.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 10 students (typically ages 15–16) working on energy, light, sound & electricity. It is pitched at level 3 · challenge.

Are the answers included?

Yes. The PDF includes a full answer sheet with model answers and success criteria where there is more than one good answer. You can also view the answers online.

How long does it take?

About 45 minutes for 20 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Electrical Power, Energy and the Cost of Electricity.

Preview

Success TutoringWorksheetsYear 10 · Science · Energy, Light, Sound & Electricity

Conservation of Energy and Efficiency Calculations

Name

Date

Score /

Efficiency = useful output ÷ total input × 100%. Total input = useful output + wasted energy.

Part A: Calculating efficiency

Show the formula, your working and units. Give efficiencies as percentages.

The law of conservation of energy: energy cannot be created or destroyed, only transferred or transformed. The total energy before a change equals the total energy after it.

In any device, the total energy input = useful energy output + wasted energy. Wasted energy is usually thermal energy (and sometimes sound) that spreads out into the surroundings, where it is hard to use again.

Efficiency = useful energy output ÷ total energy input × 100%. It can also be calculated with power (in watts) in place of energy. Rearranged: useful output = efficiency × total input and total input = useful output ÷ efficiency, with the efficiency written as a decimal (for example 75% = 0.75).

1.An electric kettle uses 2000 J of electrical energy, and 1800 J of this heats the water. How much energy is wasted, and what is the efficiency of the kettle?
2.An old-style filament light bulb uses 60 J of electrical energy each second and gives out 3 J of light. What is its efficiency?
3.A fan has an input power of 60 W and produces 45 W of useful kinetic energy (moving air). What is its efficiency?
4.A solar panel receives 1000 W of sunlight and produces 200 W of electrical power. What is its efficiency?
5.An electric motor is 80% efficient. It is supplied with 2500 J of electrical energy. How much useful kinetic energy does it produce, and how much is wasted?
6.A crane motor is 75% efficient. It must produce 600 J of useful energy to lift a load. How much electrical energy must be supplied?
7.An inventor claims a machine that is 120% efficient. This is impossible. ☐ True   ☐ False

Part B: Energy accounts and Sankey diagrams

8.A drill is supplied with 1000 J of electrical energy. It produces 250 J of kinetic energy, 650 J of thermal energy and 100 J of sound. Show that energy is conserved, and find the efficiency of the drill.
9.A car engine receives 40 000 J of chemical energy from its fuel. It produces 12 000 J of useful kinetic energy and 2000 J of sound. The rest is thermal energy. How much thermal energy is produced, and what is the efficiency of the engine?
10.In an energy flow (Sankey) diagram, what does the width of each arrow represent? (answer space)
11.In the drill above, which energy transfer is the largest?
  1. AThermal energy
  2. BKinetic energy
  3. CSound
  4. DElectrical energy output

Part C: Potential and kinetic energy

Gravitational potential energy: Ep = mgh, where m is mass (kg), g = 9.8 N/kg on Earth and h is height (m).

Kinetic energy: Ek = ½mv[sup 2], where v is speed (m/s). Energy is measured in joules (J).

When an object falls with no air resistance, all of the potential energy it loses becomes kinetic energy. In real situations some energy is transferred to the surroundings as thermal energy and sound.

12.A 0.5 kg ball is held 5.0 m above the ground. Calculate its gravitational potential energy.
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Preview — the PDF contains the full resource and answer sheet.

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Energy, Light, Sound & Electricity in other year levels

About this resource

Created by
Success Tutoring Science Team
Last reviewed
1 October 2026
How it was made
Written by our team

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.