Foundation June 2024 Paper 1R Q7
7 At a games club, people played chess or mahjong or rummy or whist.
Each person played only one of these games.
Helena starts to draw a pie chart to show information about the games played.
24 people played mahjong.
(a) Work out the number of people who played chess. (2)
40 people played whist.
(b) Work out the size of the angle on the pie chart for the sector representing whist.
You do not need to complete the pie chart. (2)
You do not need to complete the pie chart. (2)
| Scheme | Marks |
|---|---|
\(72 \div 24\ (= 3)\) or \(24 \div 72 \left(= \dfrac{1}{3} \text{ oe}\right)\) or \(24 \div \dfrac{72}{360}\,(= 120)\) or \(96 \div 72 \left(= \dfrac{4}{3} \text{ oe}\right)\) or \(72 \div 96 \left(= \dfrac{3}{4} \text{ oe}\right)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 32 | A1 |
| (2) |
Notes
M1: for a method to find the number of degrees per person or the number of people per degree or the total number of people represented by the pie chart or the scale factor between mahjong and chess
A1: cao
| Scheme | Marks |
|---|---|
\(72 \div 24 \times 40\) oe eg \(3 \times 40\) or \(40 \div (24 \div 72)\) oe eg \(40 \div \dfrac{1}{3}\) or \(\dfrac{40}{24} \times 72\) | M1ft |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 120 | A1 |
| (2) | |
| (4 marks) |
Notes
M1ft: some working may be seen in part (a) eg \(72 \div 24\ (= 3)\)
A1: accept 119.5 – 120.3