Foundation November 2019 Paper 1 Q17
17.
(a)
(i) Write \(4{\cdot}8 \times 10^{-3}\) as an ordinary number. [1]
(ii) Work out the value of \((2{\cdot}5 \times 10^{20}) + (9 \times 10^{20})\).
Give your answer in standard form. [2]
Give your answer in standard form. [2]
(b)
In 2018, the total volume of ice in the Greenland ice sheet was \(2{\cdot}99 \times 10^{6}\ \text{km}^3\).
The total surface area of the ice sheet was \(1{\cdot}799 \times 10^{6}\ \text{km}^2\).
Assuming that the depth of the ice was constant for the whole ice sheet, estimate the depth of the ice in 2018.
You must state the units of your answer. [3]
| Scheme | Marks | Comments |
|---|---|---|
| (i) 0.0048 | B1 | |
| (ii) \(1.15 \times 10^{21}\) | B2 | B1 for correct answer in incorrect form e.g. \(11.5 \times 10^{20}\) |
| Scheme | Marks | Comments |
|---|---|---|
| \((3 \times 10^{6}) \div (2 \times 10^{6})\) oe | M1 | Allow for \((3 \times 10^{6}) \div (1.8 \times 10^{6})\) |
| 1.5 | A1 | FT ‘their estimate’ If M0 then allow SC1 for sight of \((2.99 \times 10^{6}) \div (1.799 \times 10^{6})\) |
| km | B1 | Appropriate unit for their answer e.g. 1500 m gets M1 A1 B1; allow for ‘km’ even if no calculation attempted |
| (6) |