Higher June 2023 Paper 2 Q14
14. The area of country \(A\) is 1 078 000 km2, correct to 4 significant figures.
The area of country \(B\) is 249 300 km2, correct to 4 significant figures.
The two countries merge to form country C.
(a) Calculate the upper bound of the area of country C. [2]
(b) The population density of a country is the number of people per km2.
Country \(C\) has a population of 82 000 000, correct to the nearest million.
Calculate the least possible value of the population density for country \(C\).
You must show all your working. [3]
Country \(C\) has a population of 82 000 000, correct to the nearest million.
Calculate the least possible value of the population density for country \(C\).
You must show all your working. [3]
| Scheme | Marks | Comments |
|---|---|---|
| (1 078 500 + 249 350 =) 1 327 850 (km2) | B2 | B1 for 1327300 < answer < 1328400 |
| Scheme | Marks | Comments |
|---|---|---|
| 81 500 000 | B1 | |
| \(\dfrac{81\,500\,000 \leqslant \text{min pop} \lt 82\,000\,000}{1\,327\,850}\) | M1 | FT their (a) |
| 61(.377...) (people/km2) ISW | A1 | FT only for 81 500 000 \(\div\) their (a) |
| (5) |