Higher June 2017 Unit 1 Q10
10. In this question, you will be assessed on the quality of your linguistic and mathematical accuracy in writing.
Rashid owned \(n\) sheep.
Eifion had exactly 4 times as many sheep as Rashid.
Rashid buys 17 extra sheep.
Eifion sells 8 of his sheep.
Eifion still has more sheep than Rashid.
Form an inequality, in terms of \(n\).
Solve the inequality to find the least value of \(n\).
You must show all your working. [5 + 1 W]
| Scheme | Marks | Comments |
|---|---|---|
| 4n – 8 > n + 17 | B2 | If not B2, allow B1 for sight of 4n – 8 AND n + 17 in an inequality. |
| 3n > 25 | B1 | F.T. from ‘their inequality’, if of equivalent difficulty (2 terms on each side). |
| n > 25/3 | B1 | F.T. from ‘their an>b’ or ‘their an<b’ provided a≠1. |
| (least value of n =) 9 | B1 | F.T. from their ‘n > 25/3’, provided n > 0. An answer of 9 without showing 4n - 8 > n + 17 gains B3 only. Accept ‘Rashid had 9 (sheep)’. |
| Accuracy of writing. | W1 | Accuracy of writing. For W1, candidates will be expected to:
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