1MA0 Higher March 2013 Paper 2 Q24
*24 \(m = \dfrac{\sqrt{s}}{t}\)
\(s = 3.47\) correct to 2 decimal places
\(t = 8.132\) correct to 3 decimal places
By considering bounds, work out the value of \(m\) to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer. (5)
| Answer | Mark | Notes |
|---|---|---|
| 0.229 because the LB and UB agree to that number of figures | 5 | B1 for 3.465 or 3.475 or 3.474999… B1 for 8.1315 or 8.1325 or 8.132499… M1 for \(\dfrac{\sqrt{3.475}}{8.1315}\) as UB OR \(\dfrac{\sqrt{3.465}}{8.1325}\) as LB C1 (dep on all previous marks) for 0.2292… and 0.2288… both values must clearly come from working with correct values C1 for 0.229 from 0.2292… and 0.2288… and ‘both LB and UB round to 0.229’ |