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Percentages
AQA GCSE Maths
8 ready-made resources for teaching Percentages, written for AQA GCSE Maths. Slides, worksheets, mark schemes, homework, an assessment and retrieval quizzes, all with SEN-friendly scaffolding built in as standard. Below is what the topic requires and where students usually go wrong, free to read whether or not you sign up.
Get these 8 files freeWhat is in this bundle
- Assessment mark schemeWord, editable
- End-of-topic assessmentWord, editable
- HomeworkWord, editable
- Retrieval-practice quizzesWord, editable
- SlidesPowerPoint, editable
- Starter & exit ticketWord, editable
- Tiered worksheetWord, editable
- Worksheet mark schemeWord, editable
Foundation tier
- Calculate a percentage of an amount, with and without a calculator.
- Express one quantity as a percentage of another.
- Calculate percentage increase and decrease.
- Calculate simple interest.
- Find an original amount before a single percentage change (simple reverse percentage).
- Calculate compound interest, growth, and decay over multiple time periods (straightforward cases; see Higher for multi-stage/successive-change variants).
Higher tier, in addition
- Solve reverse percentage problems requiring multiple steps or combined percentage changes.
- Solve multi-stage contextual problems involving successive percentage changes (e.g. successive discounts).
- Use the multiplier method fluently as the default technique for all percentage calculations.
Where students go wrong
- Adding or subtracting the percentage figure directly instead of using a multiplier (e.g. treating two successive 10% increases as a flat 20% increase).
- Using the wrong base amount in a reverse percentage problem (dividing by the percentage rather than working from the correct multiplier).
- Forgetting that compound interest/depreciation applies to the new amount each period, not the original amount.
- Confusing a change in percentage points with a percentage change.
How it gets asked in the exam
"Calculate the percentage of...", "Find the original price", "Work out the value after x years", "increase/decrease by x%".
Key vocabulary
Percentage, multiplier, increase, decrease, compound, principal, depreciation, original amount, reverse percentage.
Assumed prior knowledge
- Fluency converting between fractions, decimals, and percentages.
- Confident multiplication and division.
- Familiarity with ratio and proportion reasoning.
How Speca scaffolds this topic
- A multiplier reference grid ("same method, different starting multiplier") builds a transferable mental model instead of memorised one-off procedures.
- Use a bar model or 100-square visual to dual-code "percentage of an amount" for students needing a concrete representation before abstract calculation.
- Provide an explicit step template for reverse percentages (state the multiplier → divide → never add/subtract) to directly counter the most common misconception.
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