4MA0 Foundation June 2017 Paper 1 Q4
4 The bar chart shows information about the number of league titles won by each of five football clubs up to 2016
(a) Write down the number of league titles won by Aston Villa. (1)
Arsenal has won 13 league titles.
(b) Draw a bar on the bar chart to show this information. (1)
Alex says,
‘The number of league titles won by Manchester City is \(\dfrac{1}{4}\) of the number of league titles won by Manchester United’.
(c) Explain why Alex is wrong. (1)
(d) Find the ratio of the number of league titles won by Manchester United to the number of league titles won by Preston North End.
Give your answer in its simplest form. (2)
Give your answer in its simplest form. (2)
| Scheme | Marks |
|---|---|
| 7 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Bar with height 13 drawn | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Correct explanation | B1 |
| (1) |
Notes
B1: Eg \(\dfrac{1}{4}\) of 20 is 5 (not 4); 4 × 4 = 16 (MU scored 20); should be \(\dfrac{1}{5}\) (not \(\dfrac{1}{4}\))
| Scheme | Marks |
|---|---|
| 20 : 2 | M1 |
| 10:1 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for 20 : 2 or an answer of 1 : 10 or 1 and 10 with incorrect notation
A1: allow 1 : 0.1 or 1 : \(\dfrac{1}{10}\)