Key Stage 3: Percentages Scheme of Work

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This Key Stage 3 Percentages scheme of work is designed for Year 8 work on finding percentages without a calculator, expressing one number as a percentage of another, percentage change with multipliers, and simple interest.

Use this page to sequence the lessons below, connect fractions and decimals to percentage notation, and apply decimal multipliers before students tackle financial problems with interest.

Last updated: May 2026

For more schemes and topic routes across KS3, GCSE and A-Level, browse the Mr Mathematics Curriculum Hub.

How to use this scheme

Read the prerequisite and key-concept cards first so fractions, decimals and basic percentage equivalence are secure. Teach the lessons in the order listed unless your timetable requires otherwise — keep Finding Percentages without a Calculator before Expressing One Number as a Percentage of Another, teach Calculating a Percentage Change before Calculating a Simple Interest, and ensure decimal multipliers are fluent before financial problems.

Mr Mathematics membership

Presentations, worksheets, question generators and video tutorials for the lessons in this unit are available to members. Explore Mr Mathematics membership if you need full access to the library and schemes of work.

If you are comparing options for a department, the membership page sets out exactly what is included so you can align this unit with your wider three-year Key Stage 3 number plan.

Prerequisite knowledge

Students should be secure with the following before this unit.

  • Work interchangeably with terminating decimals and their corresponding fractions.
  • Define a percentage as “the number of parts per hundred,” and interpret percentages and percentage changes as fractions or decimals.
  • Interpret fractions and percentages as operators.

Key concepts

Ideas to keep explicit while students work with percentages.

  • A percentage is a fraction out of 100, so 52% is equivalent to 52/100, or the decimal 0.52.
  • To find a percentage of an amount without a calculator, you can use equivalent fractions or calculate 10% first as a step. Alternatively, convert the percentage to a decimal and multiply it by the quantity.
  • For example, if something increases by 20%, the total percentage becomes 120%, with a decimal multiplier of 1.2.
  • If something decreases by 20%, the total percentage becomes 80%, with a decimal multiplier of 0.8.
  • The word “of” in mathematics signifies multiplication.

Subject content (Number and proportion)

  • Solve problems involving percentage change, including percentage increase and percentage decrease
  • Define percentage as ‘number of parts per hundred’
  • Interpret percentages and percentage changes as a fraction or a decimal and interpret these multiplicatively
  • Express one quantity as a percentage of another,
  • Compare two quantities using percentages,
  • Work with percentages greater than 100%

Working mathematically

How this unit supports fluency, reasoning and problem solving in Key Stage 3.

  • Develop fluency
    • Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals and fractions.
  • Reason mathematically
    • Extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations
  • Solve problems
    • Begin to model situations mathematically and express the results using a range of formal mathematical representations.

Common misconceptions

Typical slips to address during teaching and marking.

  • Treating a 20% increase as a multiplier of 0.2 rather than 1.2.
  • Dividing in the wrong order when expressing one number as a percentage of another.
  • Confusing percentage change with the final percentage of the original amount.
  • Using addition instead of multiplication when finding a percentage of an amount.
  • Applying simple interest formula with the wrong time period or rate unit.

Frequently asked questions

How do I use this scheme page in practice?

Use it to sequence teaching, align vocabulary and spot likely errors before they become habits. Then use the lessons below as the delivery route for the unit.

What should students already know before this unit?

They need secure equivalence between fractions, decimals and percentages, and confidence using fractions and percentages as operators so new work focuses on multipliers, percentage change and simple interest.

Where are the lesson presentations and worksheets?

Each lesson listed below has its own page with downloadable resources and, where available, online tasks. Access depends on your membership level.

Can I change the order of the lessons?

Yes if your timetable requires it — keep non-calculator methods before expressing one number as a percentage of another, teach percentage change with multipliers before simple interest, and ensure students can find a percentage of an amount before financial problems.

Where can I find revision resources for this topic?

Additional revision lessons, exam-style questions and topic-based practice are available on the GCSE Maths Revision Hub. This is useful for consolidating learning after teaching the unit or for Year 11 exam preparation.

Lessons in this Percentages scheme of work

  • Finding Percentages without a Calculator
  • Expressing One Number as a Percentage of Another
  • Calculating a Percentage Change
  • Calculating a Simple Interest

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