4MA0 Higher June 2016 Paper 4 Q11
11 The table gives the populations of each of five countries in 2014
| Country | Population |
|---|---|
| China | \(1.4 \times 10^9\) |
| India | \(1.3 \times 10^9\) |
| USA | \(3.2 \times 10^8\) |
| Ethiopia | \(9.7 \times 10^7\) |
| Mexico | \(1.2 \times 10^8\) |
(a) Write \(9.7 \times 10^7\) as an ordinary number. (1)
The population of Russia in 2014 was 140000000
(b) Write 140000000 in standard form. (1)
In 2014, there were more people living in China than were living in the USA.
(c) How many more?
Give your answer in standard form. (2)
Give your answer in standard form. (2)
In 2014, the population of India was \(k\) times the population of Mexico.
(d) Work out the value of \(k\).
Give your answer to the nearest whole number. (2)
Give your answer to the nearest whole number. (2)
| Scheme | Marks |
|---|---|
| 97 000 000 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(1.4 \times 10^8\) | B1 |
| (1) |
Notes
B1: Accept, for example, \(1.40 \times 10^8\)
| Scheme | Marks |
|---|---|
| \(1.4 \times 10^9 - 3.2 \times 10^8\) or 1 400 000 000 – 320 000 000 or 1 080 000 000 | M1 |
| \(1.08 \times 10^9\) | A1 |
| (2) |
Notes
M1: For \(1.4 \times 10^9 - 3.2 \times 10^8\) or digits 108
A1: Accept \(1.1 \times 10^9\)
| Scheme | Marks |
|---|---|
| \((1.3 \times 10^9) \div (1.2 \times 10^8)\) or 1 300 000 000 ÷ 120 000 000 or 10.8(333…) | M1 |
| 11 | A1 |
| (2) |
Notes
M1: Condone missing brackets
A1: Accept \(1.1 \times 10^1\)