Higher June 2019 Paper 4 Q3
3
(a) Anne, Barry and Colin share a prize in the ratio 3 : 4 : 5.
Colin gives \(\frac{1}{3}\) of his share to a charity.
Colin gives \(\frac{1}{3}\) of his share to a charity.
What fraction of the whole prize does Colin give to the charity? [3]
(b) Delia, Edwin and Freya share some money in the ratio 5 : 7 : 8.
Freya’s share is £1600.
Freya’s share is £1600.
How much money did they share? [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{5}{36}\) or equivalent fraction | 3 | M2 for \(\frac{5}{3 + 4 + 5} \times \frac{1}{3}\) oe implied by e.g. [0].139, [0].1388…, 13.9%, 13.88..%, \(\frac{1.\dot{6}}{12}\), \(\frac{1.66[6..]}{12}\), \(\frac{1.67}{12}\), \(\frac{1.7}{12}\), \(\frac{5/3}{12}\) or better OR B1 for \(\frac{5}{12}\) or equivalent fraction or \(0.41\dot{6}\) or better OR M1 for \(\left(\frac{3}{3+4+5}\right.\) or \(\left.\frac{4}{3+4+5}\right) \times \frac{1}{3}\) or \(\frac{1}{3} \times 5\) oe, implied by \(1.\dot{6}\), 1.66[6…], 1.67 or 1.7 or better | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 4000 | 2 | M1 for 1600 ÷ 8 or (5+7+8) ÷ 8 implied by 200 or 2.5 | |