Foundation June 2017 Paper 2 Q9
9 Lillian works 7 hours each day for 5 days a week.
She earns £420 each week.
(a) How much does she earn per hour? [3]
(b) Lillian decides that she is going to work 7 hours each day for only 4 days a week.
Her earnings are to be reduced by 20%.
Lillian thinks that this reduction is reasonable.
Her earnings are to be reduced by 20%.
Lillian thinks that this reduction is reasonable.
(i) Explain why a reduction of 20% is reasonable. [1]
(ii) How much will Lillian earn working 4 days a week? [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 12 | 3 | M2 for \(420 \div 7 \div 5\) or \(420 \div 35\) Or M1 for \(420 \div 7\) soi or \(420 \div 5\) soi | Condone 12.0, 12.00 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 20% is one day oe | 1 | Or 20% = 1/5 | See Appendix B |
| (ii) 336 | 2 | M1 for \(420 \times 0.8\) oe or \(420 - 84\) or their 12 \(\times\) 7 \(\times\) 4 oe | |
Appendix B
Exemplar responses for Q9(b)i
| Response | Mark |
|---|---|
| 20% is 1/5 and she is getting rid of 1/5 of her days so 20% is reasonable | 1 |
| Because each day is 20% of that week so to take off 20% is fine. | 1 |
| 5 days = 100%, 5 days – 1 day = 80%, 1 day = 20% | 1 |
| 20% = 84 £420 – 84 = £336. 20% of 420 is equal to 1 day of pay. | 1 |
| Because 5 days add up to 100% and each day is worth 20% which is reasonable. | 1 |
| 20% is how much she would get each day usually. | 1 |
| 20% is equal to 1 days pay | 1 |
| Because 20% of her original pay is how much she earns in one day so she doesn’t lose any more than | 1 |
| Because each day represents 20% of her weekly pay | 1 |
| 20% of 5 is 1. She loses 1 day pay! | 1 |
| 20% x 5 = 100% 20% x 4 = 80 If one day isn’t mentioned, reference to 5days & 4 days could imply 1 day | 1 |
| Because she is working a day less so 5 days = 100%, 4 days = 80%. | 1 |
| Because she is working for 1 less day 20% is stated in the question | 1 |
| 20% is a reasonable reduction as 7 hours = 20% of Lillian’s earnings. 7 hours is equivalent to one day | 1 |
| Because it works out as a day less pay. 20% is stated in the question | 1 |
| She is not working 5 days a week therefore 2/10 has been taken away 2/10 doesn’t link to one day even though it is equivalent to 1/5 | 0 |
| She is working less hours | 0 |
| Its only a 1/5 of her earnings Not linked to day | 0 |
| Because she was going to work 4 days a week while before she was working for 5 days a week 80% not linked to 4 days | 0 |
| A 20% reduction is reasonable, she only wants to work 4 days a week, she will only be earning 80% of what she used to earn. Doesn’t link 4 days to 5 days | 0 |
| She is working for 20% less time | 0 |
| She would only be losing out on 84 pounds | 0 |
| Because 20% is one whole and she is working one less day. ‘One whole day’ would have scored | 0 |