1MA0 Foundation June 2014 Paper 2 Q24
*24 Miss Phillips needs to decide when to have the school sports day.
The table shows the number of students who will be at the sports day on each of 4 days.
It also shows the number of teachers who can help on each of the 4 days.
| Tuesday | Wednesday | Thursday | Friday | |
|---|---|---|---|---|
| Number of students | 179 | 162 | 170 | 143 |
| Number of teachers | 15 | 13 | 14 | 12 |
For every 12 students at the sports day there must be at least 1 teacher to help.
On which of these days will there be enough teachers to help at the sports day?
You must show all your working. (3)
| Answer | Mark | Notes |
|---|---|---|
| Tuesday and Friday | 3 | M1 for 179 ÷ 12 or 162 ÷ 12 or 170 ÷ 12 or 143 ÷ 12 A1 for 14.9(166…) or 15 and 13.5 or 14 and 14.1(66…) or 15 and 11.9(16…) or 12 C1 (dep M1) ft for comparison of their results for all the days with the number of teachers available leading to a correct statement Or M1 for 179 ÷ 15 or 162 ÷ 13 or 170 ÷ 14 or 143 ÷ 12 A1 for 11.9(3…) or 12 and 12.4(6…) or 13 and 12.1(4…) or 13 and 11.9(1…) or 12 C1 (dep M1) ft for comparison of their results for all the days with 12 leading to a correct statement Or M1 for 15 × 12 or 13 × 12 or 14 × 12 or 12 × 12 A1 for 180 and 156 and 168 and 144 C1 (dep M1) ft for comparison of their results for all the days with the number of students taking part leading to a correct statement |