4MA0 Higher January 2013 Paper 4 Q6
6 \(\tfrac{5}{9}\) of the students in a group are male.
\(\tfrac{5}{6}\) of the female students in the group are right-handed.
(a) Work out the fraction of students in the group who are right-handed females. (3)
(b) Find the smallest possible number of students in the group. (2)
| Scheme | Marks |
|---|---|
| \(1 - \tfrac{5}{9}\) or \(\tfrac{4}{9}\) seen | M1 |
| \(\text{“}\tfrac{4}{9}\text{”} \times \tfrac{5}{6}\) oe or \(\tfrac{5}{9} \times \tfrac{5}{6}\) oe | M1 |
| \(\tfrac{20}{54}\) or \(\tfrac{10}{27}\) | A1 |
| (3) |
Notes
M1: \(\tfrac{4}{9}\) oe
| Scheme | Marks |
|---|---|
| 27 | B2 |
| (2) |
Notes
B2: cao
B1 for 18 or 54 or any multiple of 27