4MA0 Foundation June 2014 Paper 2R Q6
6 The table gives information about the number of medals won by the eight most successful athletics teams in the 2012 Olympic Games.
| Gold | Silver | Bronze | |
|---|---|---|---|
| Australia | 1 | 2 | 0 |
| Ethiopia | 3 | 1 | 3 |
| Germany | 1 | 4 | 3 |
| Great Britain | 4 | 1 | 1 |
| Jamaica | 4 | 4 | 4 |
| Kenya | 2 | 4 | 5 |
| Russian Federation | 8 | 5 | 5 |
| United States of America | 9 | 13 | 7 |
(a) Which two teams won more bronze medals than silver medals? (1)
(b) What fraction of the medals won by Ethiopia were gold medals? (1)
One scoring system for a medals table is to award 3 points for a gold medal, 2 points for a silver medal and 1 point for a bronze medal.
(c) How many more points would Great Britain score than Germany under this scoring system? (2)
| Scheme | Marks |
|---|---|
| Ethiopia, Kenya | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\dfrac{3}{7}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| GB 4×3 + 1×2 + 1×1 = 15 Ger 1×3 + 4×2 + 3×1 = 14 | M1 |
| 1 | A1 |
| (2) | |
| (Total 4 marks) |
Notes
M1: 4×3 + 1×2 + 1×1 or 1×3 + 4×2 + 3×1 or (4 − 1)×3 − (4 − 1)×2 − (3 − 1)×1