Foundation June 2018 Paper 2 Q10
10 Last Thursday, 135 students each bought one item of fruit.
The table shows information about the 135 items of fruit they bought.
| Fruit | apple | pear | orange | banana | peach |
|---|---|---|---|---|---|
| Number of students | 36 | 15 | 27 | 33 | 24 |
One of the 135 students is chosen at random.
(a) Find the probability that this student bought an apple or a banana. (2)
A pie chart is drawn for the information in the table.
(b) Work out the size of the angle in the pie chart for oranges. (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{36 + 33}{135}\) | M1 |
| \(\dfrac{69}{135}\) | A1 |
| (2) |
Notes
M1: for numerator of 36 + 33(= 69) or denominator of 135
A1: Accept 0.51(11...) or 51.(11...)%
2 sf or better
| Scheme | Marks |
|---|---|
| \(\dfrac{27}{135} \times 360\) or 360 ÷ 5 or \(27 \times \dfrac{8}{3}\) oe | M1 |
| 72 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: allow use of \(\dfrac{8}{3}\) = 2.666... to 1 dp truncated or rounded
A1: cao