Foundation June 2023 Paper 2 Q11
11 Trisha asked 90 people to name their favourite type of cheese to put on a pizza.
She is going to draw a pie chart for her results.
55 of the 90 people said that mozzarella was their favourite.
(a) Work out the size of the angle on the pie chart for the sector representing mozzarella. (2)
Haashir asked a different group of people to name their favourite ice cream flavour.
He used his results to draw this pie chart.
39 of the people Haashir asked said that vanilla was their favourite.
(b) Work out how many of the people Haashir asked said that chocolate was their favourite. (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{55}{90} \times 360\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 220 | A1 |
| (2) |
Notes
M1: Allow 0.61… × 360
A1: Accept 219.6 - 220
| Scheme | Marks |
|---|---|
\(\dfrac{195}{39}\) (= 5) or 5 : 1 or \(\dfrac{39}{195}\) \(\left(= \dfrac{1}{5} = 0.2\right)\) or 1 : 5 or \(\dfrac{75}{195}\) \(\left(= \dfrac{5}{13} = 0.38...\right)\) or 5 : 13 or \(\dfrac{195}{75}\) \(\left(= \dfrac{13}{5} = 2.6\right)\) or 13 : 5 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 15 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: starting to work with 195° and 39 people or starting to work with 195° and 75°