4MA0 Higher January 2018 Paper 4R Q10
10 The table gives information about the population of four countries in 2016
| Country | Population |
|---|---|
| China | \(1.38 \times 10^9\) |
| India | \(1.32 \times 10^9\) |
| United Kingdom | \(6.50 \times 10^7\) |
| United States | \(3.24 \times 10^8\) |
(a) Write \(3.24 \times 10^8\) as an ordinary number. (1)
(b) Which of the four countries had the least population in 2016? (1)
(c) Work out the total population of all four countries.
Give your answer in standard form. (2)
Give your answer in standard form. (2)
The population of Delhi in 2016 was \(1.87 \times 10^7\)
In 2016, the ratio of the population of Delhi to the population of India was 1 : \(n\)
(d) Find the value of \(n\).
Give your answer correct to 2 significant figures. (2)
Give your answer correct to 2 significant figures. (2)
| Scheme | Marks |
|---|---|
| 324 000 000 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| United Kingdom | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| M1 | |
| \(3.089 \times 10^9\) | A1 |
| (2) |
Notes
M1: Sight of digits 3 089
A1: Accept \(3.09 \times 10^9\)
| Scheme | Marks |
|---|---|
Eg \(1.87 \times 10^7 : 1.32 \times 10^9\) or 1.87 : 132 or 187 : 13200 or 1 : \(\dfrac{1200}{17}\) or 1 : 70.5(882...) | M1 |
| 71 | A1 |
| (2) | |
| (6 marks) |
Notes
M1: For a correct ratio or \(\dfrac{1.32 \times 10^9}{1.87 \times 10^7}\) oe
A1: oe eg \(7.1 \times 10^1\)
Accept 1 : 71
M1A0 for answer of 70.5(882...)