Maths · Topic 2: Year 11
Multiplicative reasoning
Percentage growth and decay, compound measures such as speed, density and pressure, and direct and inverse proportion including algebraic proportion.
Lessons
Ticks are remembered on this device only.
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1
Growth and decay
Use multipliers to solve repeated percentage change problems, including compound interest, depreciation and exponential growth and decay.
6 terms -
2
Compound measures
Use the formulae for speed, density and pressure, and convert between the units of compound measures.
6 terms -
3
More compound measures
Work with rates, population density, flow rates and average speeds for multi-stage journeys, and convert between compound units.
6 terms -
4
Ratio and proportion
Solve direct and inverse proportion problems, use the constant of proportionality, and write and use proportionality equations, including squares and roots at…
6 terms
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- Growth and decay.pptx Built from the lesson script on 30 September 2026. View
- Growth and decay - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Growth and decay - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Compound measures.pptx Built from the lesson script on 30 September 2026. View
- Compound measures - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Compound measures - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- More compound measures.pptx Built from the lesson script on 30 September 2026. View
- More compound measures - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- More compound measures - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Ratio and proportion.pptx Built from the lesson script on 30 September 2026. View
- Ratio and proportion - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Ratio and proportion - Exam Questions.docx Built from the lesson script on 30 September 2026. View
Key terms in this chapter
All 24, gathered from every lesson.
- Multiplier
- The number you multiply by to increase or decrease.
- Compound interest
- Interest paid on the original amount and on interest already added.
- Depreciation
- The fall in value of an item over time.
- Exponential growth
- Growth by a constant multiplier greater than 1 each period.
- Exponential decay
- Decay by a constant multiplier between 0 and 1 each period.
- Original value
- The amount at the start.
- Compound measure
- A measure made from two other measures, such as speed.
- Speed
- Distance travelled per unit of time.
- Density
- Mass per unit of volume.
- Pressure
- Force per unit of area.
- Newton (N)
- The unit of force.
- Pascal (Pa)
- One newton per square metre.
- Rate
- A quantity compared with another, such as litres per minute.
- Population density
- The number of people per unit of area.
- Average speed
- Total distance divided by total time.
- Flow rate
- The volume passing a point per unit of time.
- Unit price
- The cost of one unit of a product.
- Conversion
- Changing from one unit to another.
- Direct proportion
- Two quantities that increase together in the same ratio.
- Inverse proportion
- As one quantity increases the other decreases in the opposite ratio.
- Constant of proportionality
- The number \(k\) in a proportion equation.
- Proportional to
- Written \(y \propto x\).
- Unitary method
- Finding the value of one unit first.
- Rate
- How much of one quantity per unit of another.