Foundation June 2025 Paper 1 Q9
9 Tamsin asked some people how they prefer their eggs cooked.
They could choose scrambled or boiled or poached or fried.
The pie chart shows some information about their answers.
(a) Use the pie chart to complete the table.
(3)
| Egg | Frequency | Angle of sector |
|---|---|---|
| scrambled | 6 | 72° |
| boiled | 132° | |
| poached | ||
| fried | 48° |
One of these people is selected at random.
(b) Write down the probability that this person chose scrambled. (1)
| Scheme | Marks |
|---|---|
eg 72 ÷ 6 (= 12) or \(132 \div 72 \left(= \dfrac{11}{6}\right)\) or \(48 \div 72 \left(= \dfrac{2}{3}\right)\) or 360 – (48 + 72 + 132) (= 108) | M1 |
eg (freq boiled =) 132 ÷ “12” (= 11) or \(6 \times \text{“}\dfrac{11}{6}\text{”}\) (= 11) OR (freq poached =) “108” ÷ “12” (= 9) OR (angle poached =) “9” × “12” (= 108) or 360 – (48 + 72 + 132) (= 108) OR (freq fried =) 48 ÷ “12” (= 4) or \(6 \times \text{“}\dfrac{2}{3}\text{”}\) (= 4) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 11, 9, 4, 108 | A1 |
| (3) |
Notes
M1: for a correct first step
or for one correct value
Values may be seen on the pie chart
M1: for method to work out 3 of the values
A1: cao
| Scheme | Marks |
|---|---|
| \(\dfrac{72}{360}\) | B1ft |
| (1) | |
| (4 marks) |
Notes
B1ft: oe eg \(\dfrac{1}{5}\), \(\dfrac{6}{30}\), 20%, 0.2
allow \(\dfrac{6}{\text{their total frequency}}\)
their total is dep on a complete frequency column in the table