| Date | May 2017 | Marks available | 2 | Reference code | 17M.1.sl.TZ2.1 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Calculate | Question number | 1 | Adapted from | N/A |
Question
Consider the numbers \(p = 2.78 \times {10^{11}}\) and \(q = 3.12 \times {10^{ - 3}}\).
Calculate \(\sqrt[3]{{\frac{p}{q}}}\). Give your full calculator display.
Write down your answer to part (a) correct to two decimal places;
Write down your answer to part (a) correct to three significant figures.
Write your answer to part (b)(ii) in the form \(a \times {10^k}\), where \(1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}\).
Markscheme
\(\sqrt[3]{{\frac{{2.78 \times {{10}^{11}}}}{{3.12 \times {{10}^{ - 3}}}}}}\)\(\,\,\,\)OR\(\,\,\,\)\(\sqrt[3]{{8.91025 \ldots \times {{10}^{13}}}}\) (M1)
Note: Award (M1) for correct substitution into given expression.
44664.59503 (A1) (C2)
Note: Award (A1) for a correct answer with at least 8 digits.
Accept 44664.5950301.
[2 marks]
44664.60 (A1)(ft) (C1)
Note: For a follow through mark, the answer to part (a) must be to at least 3 decimal places.
[1 mark]
44700 (A1)(ft) (C1)
Notes: Answer to part (a) must be to at least 4 significant figures.
Accept any equivalent notation which is correct to 3 significant figures.
For example \(447 \times {10^2}\) or \(44.7 \times {10^3}\).
Follow through from part (a).
[1 mark]
\(4.47 \times {10^4}\) (A1)(ft)(A1)(ft) (C2)
Notes: Award (A1)(ft) for 4.47 and (A1)(ft) for \({10^4}\).
Award (A0)(A0) for answers such as \(44.7 \times {10^3}\).
Follow through from part (b)(ii) only.
[2 marks]
