4MA0 Foundation June 2014 Paper 2 Q11
11 The table gives information about the numbers of medals won by Australia and Great Britain in the 2012 Paralympic Games.
| Australia | Great Britain | |
|---|---|---|
| Gold medals | 32 | 34 |
| Silver medals | 23 | 43 |
| Bronze medals | 30 | 43 |
| Total | 85 | 120 |
(a) What fraction of the total number of medals won by Australia were gold medals? (1)
(b) Write down the ratio of the total number of medals won by Australia to the total number of medals won by Great Britain.
Give your ratio in its simplest form. (2)
Give your ratio in its simplest form. (2)
(c) In the 2012 Paralympic Games, the total number of gold and silver medals won by Brazil was 35
The ratio of the number of gold medals that Brazil won to the number of silver medals that Brazil won was 3 : 2
How many silver medals were won by Brazil? (2)
The ratio of the number of gold medals that Brazil won to the number of silver medals that Brazil won was 3 : 2
How many silver medals were won by Brazil? (2)
(d) In the 2012 Paralympic Games, the ratio of the total number of medals won by the Ukraine to the total number of medals won by Great Britain was 7 : 10
Great Britain won a total of 120 medals.
What was the total number of medals won by the Ukraine? (2)
Great Britain won a total of 120 medals.
What was the total number of medals won by the Ukraine? (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{32}{85}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 85 : 120 | M1 |
| 17 : 24 | A1 |
| (2) |
Notes
M1: SC : If M0 then award B1 for 24 : 17
| Scheme | Marks |
|---|---|
| 35 ÷ 5 | M1 |
| 7 × 2 Answer: 14 | A1 |
| (2) |
Notes
M1: or \(\dfrac{2}{5} \times 35\)
| Scheme | Marks |
|---|---|
| \(\dfrac{120}{10} \times 7\) | M1 |
| 84 | A1 |
| (2) | |
| (7 marks) |
Notes
M1: for full method (corrected from the printed mark scheme, which shows \(\dfrac{120}{10} \times 12\))