MA19-02 Maths Coming soon
Find a percentage of a quantity
MA19-02
This lesson is coming soon.
In this lesson
Define percentage as parts-per-hundred, find a percentage of an amount using both the building-block method and the decimal-multiplier method, and use percentages - including values over 100% - to compare two quantities.
What it covers
- Defining percentage as 'number of parts per hundred' and its link to a fraction and a decimal (brief opening framing)
- Finding a percentage of an amount using the building-block method (10%, 5%, 1% and combinations)
- Finding the same percentage of an amount using the decimal-multiplier method, on the same numbers, so the two methods visibly agree
- Comparing two quantities using a percentage, including cases where the result is over 100%
- Framing a fraction or percentage as something you multiply an amount by (brief bridging point, not a separate segment)
Key words
For: AQA GCSE 8300, Cambridge IGCSE 0580, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | R9 | Define percentage as ‘number of parts per hundred’ |
| AQA GCSE 8300 | N12 | Interpret fractions and percentages as operators |
| Cambridge IGCSE 0580 | C1.13 | Calculate a given percentage of a quantity. |
| Cambridge IGCSE 0580 | E1.13 | Calculate a given percentage of a quantity. |
| Edexcel GCSE 1MA1 | R9 | 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%; solve problems involving percentage change, including percentage increase/decrease and original value problems, and simple interest including in financial mathematics |
| Edexcel GCSE 1MA1 | N12 | Interpret fractions and percentages as operators |
| Edexcel IGCSE 4MA1 | F1.6B | Express a given number as a percentage of another number |
| Edexcel IGCSE 4MA1 | F1.6A | Understand that 'percentage' means 'number of parts per 100' |
| Edexcel IGCSE 4MA1 | F1.6D | Understand the multiplicative nature of percentages as operators |
| Eduqas GCSE C300 | FR10 | 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%; solve problems involving percentage change, including percentage increase / decrease and original value problems, and simple interest including in financial mathematics |
| Eduqas GCSE C300 | HR10 | 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%; solve problems involving percentage change, including percentage increase / decrease and original value problems, and simple interest including in financial mathematics |
| Eduqas GCSE C300 | FN12 | Interpret fractions and percentages as operators |
| Eduqas GCSE C300 | HN12 | Interpret fractions and percentages as operators |
| OCR GCSE J560 | 2.03b | Understand percentage is `number of parts per hundred'. Calculate a percentage of a quantity, and express one quantity as a percentage of another, with or without a calculator. |
| OCR GCSE J560 | 2.01c | Calculate a fraction of a quantity. Express one quantity as a fraction of another. |
For teachers
This GCSE Maths lesson teaches find a percentage of a quantity. By the end, students should be able to define percentage as parts-per-hundred, find a percentage of an amount using both the building-block method and the decimal-multiplier method, and use percentages - including values over 100% - to compare two quantities. It works through three worked examples and the mistakes examiners report.