Foundation November 2024 Paper 2 Q14
14 Some people were asked to choose their favourite fruit.
The pie chart shows information about the results.
Not drawn accurately
120 people chose Banana.
How many people chose Apple? [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(360 - 90 - 78 - 48\) or 144 | M1 | oe may be seen on the diagram |
| \(120 \times 360 \div 90\) or 480 | M1 | oe eg \(120 \times 4\) |
| \(\dfrac{\text{their } 144}{360} \times\) their 480 | M1dep | oe dep on M2 |
| 192 | A1 | |
| Alternative method 2 | ||
| \(360 - 90 - 78 - 48\) or 144 | M1 | oe may be seen on the diagram |
| \(120 \div 90\) or \(\dfrac{4}{3}\) or \(90 \div 120\) or \(\dfrac{3}{4}\) | M1 | oe |
| their \(144 \times \dfrac{120}{90}\) | M1dep | oe eg their \(144 \div \dfrac{90}{120}\) or \(16 \times 12\) dep on M2 |
| 192 | A1 | |
| Alternative method 3 | ||
| \(360 - 90 - 78 - 48\) or 144 | M1 | oe may be seen on the diagram |
| their \(144 \div 90\) or \(\dfrac{8}{5}\) or \(90 \div\) their 144 or \(\dfrac{5}{8}\) | M1dep | oe |
| \(120 \times \dfrac{144}{90}\) | M1dep | oe eg \(120 \div \dfrac{90}{144}\) |
| 192 | A1 | |
Additional guidance
M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts
Allow \(\times\, 1.3(3\ldots)\) if seen for method for four thirds