1MA0 Foundation November 2015 Paper 1 Q2
2 There are 25 passengers on a bus.
The bus stops at a station.
13 passengers get off the bus.
20 passengers get on the bus.
The bus is full when there are 58 passengers on it.
(a) How many more passengers can get on the bus so that the bus is full? (3)
The table shows the number of students on a school bus each day for two weeks.
| Mon | Tue | Wed | Thu | Fri | |
|---|---|---|---|---|---|
| Week 1 | 12 | 12 | 17 | 10 | 13 |
| Week 2 | 16 | 20 | 13 | 12 | 9 |
There were more students on the school bus in Week 2 than in Week 1.
(b) How many more students? (3)
| Answer | Mark | Notes |
|---|---|---|
| 26 | 3 | M1 for \(25 - 13 + 20\) (= 32) or \(20 - 13\) (= 7) M1 for \(58 - \text{``}32\text{''}\) or \(58 - 25 - \text{``}7\text{''}\) A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| 6 | 3 | M1 for adding week 1 or week 2, eg \(12 + \dots + 13\) (= 64) or \(16 + \dots + 9\) (= 70) M1 for \(\text{``}70\text{''} - \text{``}64\text{''}\) (= 6) A1 cao OR M1 for finding differences for each day, eg \(16 - 12\) (= ±4), \(20 - 12\) (= ±8), etc oe M1 for adding differences using consistent signs, eg \(4 + 8 - 4 + 2 - 4\) (= 6) oe or \(-4 - 8 + 4 - 2 + 4\) (= \(-6\)) oe A1 cao |