Foundation June 2017 Paper 3 Q18
18 A village has a population of 4200 and a population density of 700 people per km\(^2\).
An estate is built next to the village.
The estate has an area of 2 km\(^2\) and a population density of 800 people per km\(^2\).
Work out the population density for the village and the estate together. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 725 | 4 | M1 for \(\dfrac{4200}{700}\) soi 6 M1 for \(800 \times 2\) soi 1600 M1 for \(\dfrac{4200 + \textit{their}\ 1600}{\textit{their}\ 6 + 2}\) Alt method M3 for \(\dfrac{\frac{4200}{700}}{8} \times 700 + \dfrac{2}{8} \times 800\) or M2 for \(\dfrac{\frac{4200}{700}}{8} \times 700\) or M1 for \(\dfrac{2}{8} \times 800\) | Their 1600 must come from calculation with 800 and 2 Expect \(5800 \div 8\) soi 525 + 200 soi 525 soi 200 |