Numeracy Higher June 2017 Unit 2 Q9
9. The table shows the number of Year 11 pupils attending schools in Cwmifan.
| School | Cwrt Haf | Cwmifan High | Henclwyd |
|---|---|---|---|
| Number of Year 11 pupils | 307 | 239 | 144 |
In total there are 690 Year 11 pupils attending these three schools.
A new youth theatre has been set up in Cwmifan.
On the opening night, a total of 80 Year 11 pupils from these three schools are going to be invited to attend.
Use a stratified sampling method to calculate the number of Year 11 pupils from each school who should be invited.
You must show all your working. [3]
| School | Cwrt Haf | Cwmifan High | Henclwyd |
|---|---|---|---|
| Number that should be invited |
| Scheme | Marks | Comments |
|---|---|---|
| 80 × (Number of pupils in Year 11) ÷ 690 | M1 | Sight of this calculation for any one school Accept ‘their 307 + 239 + 144’ for 690 for M1 only |
| (List of unrounded answers =) 35∙5(942…), 27∙7(101…), 16∙6(956…) | A1 | Allow A1 for any 2 correct unrounded answers, OR for final answers of 36,28,17 OR 36,27,17 OR 36,28,16 if unrounded answers not seen |
| (Numbers invited =) 35, 28, 17 | A1 | CAO |