4MA0 Foundation June 2016 Paper 2 Q9
9 The pie chart shows information about the favourite film type chosen by each of the students at a sixth form college.
135 students chose “thriller” as their favourite film type.
(a) Work out how many students there are at the sixth form college. (2)
(b) By measuring the appropriate angle, work out how many students chose “action” as their favourite film type. (3)
| Scheme | Marks |
|---|---|
| Eg 135 × 4 or (135 ÷ 90) × (140 + 70 + 60 + 90) or 1.5 × 360 or 210 + 105 + 90 + 135 | M1 |
| 540 | A1 |
| (2) |
Notes
M1: A correct method to find the total number of students at the college
| Scheme | Marks |
|---|---|
| Measure 140° ± 2° | B1 |
| Eg “140” × \(\dfrac{\text{“540”}}{360}\) or “140” × 1.5 or \(\dfrac{135}{90}\) × “140” oe | M1ft |
| 210 | A1ft |
| (3) |
Notes
B1: Measuring angle (140° ± 2°) maybe on diagram.
M1ft: For a complete method
A1ft: Accept 207 – 213 (Integer value only) unless from incorrect working.
Note:
138° = 207 students
139° = 208.5 (208 or 209 students)
140° = 210 students
141° = 211.5 (211 or 212 students)
142° = 213 students