Higher June 2018 Paper 1 Q2
2 There are some people in a cinema.
\(\dfrac{3}{5}\) of the people in the cinema are children.
For the children in the cinema,
number of girls : number of boys = 2 : 7
There are 170 girls in the cinema.
Work out the number of adults in the cinema.
(5)
| Scheme | Marks |
|---|---|
| 170 ÷ 2 (=85) or 170 ÷ 2 × 7 (=595) or 7 ÷ 2 (=3.5) | M1 |
| 7 × “85” + 170 (=765) or 9 × “85” (=765) or “595” + 170 (=765) or 170 × “3.5” + 170 (=765) | M1 |
| “765” ÷ 3 (=255) or “765” ÷ 3 × 5 (=1275) | M1 |
| “255” × 2 or “1275” – “765” or “1275” ÷ 5 × 2 | M1 |
| 510 | A1 |
| (5) | |
| (5 marks) |
Notes
M1: award of this mark implies the first M1
M1: dep on M2
| Scheme | Marks |
|---|---|
| (girls =) \(\dfrac{2}{9}\) (of children) | M1 |
(girls =) \(\dfrac{2}{9} \times \dfrac{3}{5} \left(= \dfrac{2}{15}\right)\) (of total) or G : C : A = \(\dfrac{2}{9} \times \dfrac{3}{5} : \dfrac{3}{5} : \dfrac{2}{5} \left(= \dfrac{2}{3} : 3 : 2\right)\) | M1 |
| \(\text{``}{\dfrac{15}{2}}\text{''} \times 170\) (=1275) or G : A = 2 : 6 oe | M1 |
| “1275” ÷ 5 × 2 or 3 × 170 | M1 |
| 510 | A1 |
Notes
M1: award of this mark implies the first M1
M1: dep on M2