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Proportion questions ask you to determine how one quantity changes when another changes. The key skill is recognising whether the relationship is direct (both increase together) or inverse (one increases as the other decreases). This lesson covers both types with the methods for solving them.
Two quantities are in direct proportion if they increase (or decrease) at the same rate. When one doubles, the other doubles.
Ask: "If I increase X, does Y increase too?"
| Scenario | Directly Proportional? |
|---|---|
| More hours worked → more pay | Yes |
| More litres of paint → more area covered | Yes |
| More items bought → higher total cost | Yes |
| More people → less time to complete a job | No (inverse) |
The most reliable method for direct proportion:
Example: 8 pens cost £6.40. How much do 13 pens cost?
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