| Date | November 2010 | Marks available | 1 | Reference code | 10N.1.sl.TZ0.1 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Write down | Question number | 1 | Adapted from | N/A |
Question
Consider the following four numbers.
\(p = 0.00314{\text{ ; }}q = 0.00314 \times {10^2}{\text{ ; }}r = \frac{\pi }{{1000}}{\text{ ; }}s = 3.14 \times {10^{ - 2}}\)
One of these numbers is written in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\) and \(k \in \mathbb{Z}\). Write down this number.
Write down the smallest of these numbers.
Write down the value of q + s.
Give your answer to part (c) in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\) and \(k \in \mathbb{Z}\).
Markscheme
3.14 × 10–2 or s (A1) (C1)
[1 mark]
0.00314 or 3.14 × 10–3 or p (M1)(A1) (C2)
Note: Award (M1) for indication of comparing numbers where at least one of them is converted. The converted number does not have to be correct. A single converted number is sufficient for (M1) to be awarded.
[2 marks]
0.3454 (0.345) (A1) (C1)
[1 mark]
3.454 × 10–1 (3.45 × 10–1) (A1)(A1)(ft) (C2)
Notes: Follow through from their (c).
Award (A1) for 3.454 (3.45) (A1) for 10–1.
[2 marks]
Examiners report
In general this question was answered correctly by the majority of the candidates.
In general this question was answered correctly by the majority of the candidates. Part b presented difficulty for some students by asking them to compare the given numbers. A common error found in this part was that the value of π was given as 3.14. A method mark was awarded when a comparison was attempted.
In general this question was answered correctly by the majority of the candidates.
In general this question was answered correctly by the majority of the candidates.
