| Date | November 2009 | Marks available | 3 | Reference code | 09N.1.sl.TZ0.3 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Find | Question number | 3 | Adapted from | N/A |
Question
The following diagram shows a rectangle with sides of length 9.5 ×102 m and 1.6 ×103 m.
Write down the area of the rectangle in the form a × 10k, where 1 ≤ a < 10, k ∈ \(\mathbb{Z}\).
Helen’s estimate of the area of the rectangle is \(1\,600\,000{\text{ }}{{\text{m}}^2}\).
Find the percentage error in Helen’s estimate.
Markscheme
UP applies in part (a).
\(9.5 \times 10^2 \times 1.6 \times 10^3\) (M1)
(UP) \( = 1.52 \times {10^6}{\text{ }}{{\text{m}}^2}\) (A1)(A1) (C3)
Notes: Award (M1) for multiplication of the two numbers.
Award (A1) for \(1.52\), (A1) for \(10^6\).
[3 marks]
\(\frac{{1600000 - 1520000}}{{1520000}} \times 100\) (M1)(A1)(ft)
Note: Award (M1) for substitution in formula, (A1)(ft) for their correct substitution.
= 5.26 % (percent sign not required). (A1)(ft) (C3)
Note: Accept positive or negative answer.
[3 marks]
Examiners report
This was generally well done except for missing or incorrect units. Most candidates could give their answer in standard form and find the percentage error.
This was generally well done except for missing or incorrect units. Most candidates could give their answer in standard form and find the percentage error.
