1MA0 Foundation November 2012 Paper 1 Q21
21 Felicity asked 100 students how they came to school one day.
Each student walked or came by bicycle or came by car.
49 of the 100 students are girls.
10 of the girls came by car.
16 boys walked.
21 of the 41 students who came by bicycle are boys.
Work out the total number of students who walked to school. (4)
| Working | Answer | Mark | Notes | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| e.g. \(41 - 21\) (=20) \(49 - 10 - 20\) (=19) \(16 + 19 = 35\) OR \((100 - 49) - (16 + 21)\) (=14) \(14 + 10\) (=24) \(100 - (41 + 24) = 35\)
| 35 | 4 | M1 for \(41 - 21\) (= 20) or M1 for \(49 - 10 - \text{`}20\text{'}\) (= 19) M1 for \(16 + \text{`}19\text{'}\) A1 cao OR M1 for \(100 - 49\) (=51) M1 for \(\text{`}51\text{'} - 21 - 16\) (= 14) and \(\text{`}14\text{'} + 10\) (= 24) M1 for \(100 - (41 + \text{`}24\text{'})\) A1 cao NB working may appear in table or diagram |