Higher June 2017 Paper 6 Q4
4 In a school, \(\frac{2}{3}\) of the students study a language.
Of those students who study a language, \(\frac{2}{5}\) study Spanish.
Find the ratio of students who study Spanish to students who do not study Spanish. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 4 : 11 or exact equivalent | 3 | B2 for \(\frac{4}{15}\) nfww oe soi by 0.26[6…] to 0.27 or answer 11 : 4 or answer 4 : 15 OR M1 for \(\frac{2}{3} \times \frac{2}{5}\) OR B1 for \(\frac{2n}{3}\) evaluated where \(n\) is their total number of students | Implied by eg \(\frac{4n}{15}\) evaluated where \(n\) is their total number of students NB \(0.2\dot{6} : 0.7\dot{3}\) scores 3 marks but \(0.2\dot{6} : 0.7\dot{4}\) only scores B2 NB \(\frac{4}{15}\) from \(\frac{2}{3} - \frac{2}{5}\) scores 0 |
| Alternative method: [Spanish : Other : None] B2 4 : 6 : 5 soi OR Spanish : Other [: None] M1 2 : 3 [: 2.5] | 0 for just 2 : 3 without labelling | ||