Foundation November 2022 Paper 1 Q6
6 200 students were each asked about the monthly cost of their phone contract.
Here are the results.
| Less than £25 | £25 or over | |
|---|---|---|
| School students | 40 | 90 |
| College students | 32 | 38 |
(a) How many more school students than college students were asked? [2 marks]
(b) What percentage of the 200 students had a monthly cost less than £25 ? [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(40 + 90 - 32 - 38\) or \(40 + 90\) or 130 or \(32 + 38\) or 70 or \(40 - 32\) or 8 or \(90 - 38\) or 52 | M1 | oe |
| 60 | A1 |
Additional guidance
Check table for working
Up to M1 may be awarded for correct work, with no or incorrect answer, even if seen amongst multiple attempts
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(\dfrac{40 + 32}{200}\) or \(\dfrac{72}{200}\) or \(\dfrac{36}{100}\) | M1 | oe |
| 36 | A1 | SC1 64 |
| Alternative method 2 | ||
| \(\dfrac{40}{200} \times 100\) or \(\dfrac{20}{100}\) or 20 or \(\dfrac{32}{200} \times 100\) or \(\dfrac{16}{100}\) or 16 or \(\dfrac{36}{100}\) | M1 | oe |
| 36 | A1 | SC1 64 |
| Alternative method 3 | ||
| \((40 + 32) \div 2\) or \(40 \div 2\) or 20 or \(32 \div 2\) or 16 | M1 | oe eg \(72 \times 0.5\) |
| 36 | A1 | SC1 64 |
Additional guidance
| 72 out of 200 or \(72 \div 200\) | M1 |
| 72% of 200 | M0 |
| Build up method, eg 10% = 20, 5% = \(20 \div 2\) = 10, 1% = \(20 \div 10\) = 2, \(10 + 5 + 1\) = 16(%) 10% = 20, 5% = 10, 1% = 0.5, \(10 + 5 + 0.5\) = 15.5(%) (method not shown for 1%) | M1 M0 |