Higher June 2024 Paper 3 Q9
9 Town A has
- a population of 84 000
- an area of 7 square miles.
Town B has a population density of 4695 people per square kilometre.
| Population density \(= \dfrac{\text{population}}{\text{area}}\) |
Which town has the greater population density?
Use \(\quad\) 1 square mile \(=\) 2.6 square kilometres
Tick a box.
- Town A
- Town B
Show working to support your answer. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1: population density of Town A | ||
| \(84\,000 \div (7 \times 2.6)\) or [4615, 4616] | M2 | oe M1 \(84\,000 \div 7\) or 12 000 oe or \(7 \times 2.6\) or 18.2 oe |
| Town B and [4615, 4616] | A1 | |
| Alternative method 2: comparing one square mile of population | ||
| \(84\,000 \div 7\) or 12 000 | M1 | oe |
| \(4695 \times 2.6\) or 12 207 | M1 | oe |
| Town B and 12 000 and 12 207 | A1 | |
| Alternative method 3: comparing seven square miles of population | ||
| \(4695 \times 2.6 \times 7\) or 85 449 | M2 | oe M1 \(4695 \times 2.6\) or 12 207 oe or \(7 \times 2.6\) or 18.2 oe |
| Town B and 85 449 | A1 | |
| Alternative method 4: comparing areas with equal populations | ||
| \(7 \times 2.6\) or 18.2 | M1 | oe |
| \(84\,000 \div 4695\) or [17.89, 17.9] or 18 | M1 | oe |
| Town B and 18.2 and [17.89, 17.9] or 18 | A1 | |