4MA0 Higher January 2014 Paper 4 Q11
11 The table shows the land areas, in km2, of four countries.
| Country | Land area (km2) |
|---|---|
| Ethiopia | \(1.13 \times 10^6\) |
| Algeria | \(2.38 \times 10^6\) |
| Nigeria | \(9.24 \times 10^5\) |
| Kenya | \(5.83 \times 10^5\) |
(a) Which country has the largest land area? (1)
(b) Calculate the total land area, in km2, of all four countries.
Give your answer in standard form. (2)
Give your answer in standard form. (2)
Population density is calculated by the formula
Population density = Population ÷ Land area
(c) In one year, the population of Ethiopia was \(7.91 \times 10^7\)
Calculate the population density of Ethiopia for that year. (2)
Calculate the population density of Ethiopia for that year. (2)
| Scheme | Marks |
|---|---|
| Algeria | B1 |
| (1) |
Notes
B1: Accept \(2.38 \times 10^6\)
| Scheme | Marks |
|---|---|
| \(1.13 \times 10^6 + 2.38 \times 10^6 + 9.24 \times 10^5 + 5.83 \times 10^5\) or digits 5017 | M1 |
| \(5.017 \times 10^6\) | A1 |
| (2) |
Notes
M1: Intention to add 4 correct values.
A1: accept \(5 \times 10^6\) or better
| Scheme | Marks |
|---|---|
| \(7.91 \times 10^7 \div 1.13 \times 10^6\) | M1 |
| 70 oe | A1 |
| (2) | |
| (5 marks) |