Higher January 2020 Paper 1 Q5
5 120 children go on an activity holiday.
The ratio of the number of girls to the number of boys is 3 : 5
On Sunday, all the children either go sailing or go climbing.
\(\dfrac{16}{25}\) of the boys go climbing.
Twice as many girls go sailing as go climbing.
Work out how many children go sailing on Sunday.
(6)
| Scheme | Marks |
|---|---|
| 120 ÷ (3 + 5) (= 15) | M1 |
| ‘15’ × 3 (= 45) or ‘15’ × 5 (= 75) | M1 |
| ‘45’ ÷ 3 (= 15) or ‘45’ ÷ 3 × 2 (= 30) | M1 |
| ‘75’ × \(\dfrac{16}{25}\) (= 48) or ‘75’ × \(\dfrac{9}{25}\) (= 27) | M1 |
E.g. (‘45’ ÷ 3 × 2) + (‘75’ × \(\dfrac{9}{25}\)) oe or ‘27’ + ‘30’ or (‘75’ – ‘48’) + (‘45’ – ‘15’) | M1 |
| 57 | A1 |
| (6) | |
| (6 marks) |
Notes
M1: OR M2 (for the first two M1 marks) for \(\dfrac{3}{8} \times 120\) (= 45) or \(\dfrac{5}{8} \times 120\) (= 75) oe
M1: for a complete method