Foundation November 2017 Paper 2 Q2
2. A company uses the following formula to work out weekly pay.
| Pay = £7.50 x number of hours worked + £30 |
(a) Terry worked for 28 hours last week.
How much was he paid? [2]
How much was he paid? [2]
(b)
(i) The company only pays for whole numbers of hours worked.
Explain why it is not possible for an employee to be paid exactly £100 in a week. [1]
Explain why it is not possible for an employee to be paid exactly £100 in a week. [1]
(ii) Last week, Jo was paid just under £100.
What is the greatest whole number of hours that Jo could have worked? [1]
What is the greatest whole number of hours that Jo could have worked? [1]
……………… hours
| Scheme | Marks | Comments |
|---|---|---|
| 28 x 7.50 + 30 = (£) 240 | M1 A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) Suitable explanation e.g. ‘£100 - £30 is £70 which does not divide by 7.50 to give a whole number of hours’, or ‘9 x £7.50 = £67.50 and £67.50 + £30 = £97.50’, and ‘10 x £7.50 = £75 and £75 + £30 = £105’, (so £100 can’t come from a whole number multiple of £7.50), or ‘No multiple of £7.50 + 30 makes £100’, or ‘The pay for 9 hours is £97.50, another £7.50 makes £105, so £100 not possible’, or ‘\(9\frac{1}{3}\) hours makes £100, but the company only pays for whole number of hours’, or ‘There is no whole number that multiplies by £7.50 to give £70’. | E1 | |
| (ii) 9 (hours). | B1 | |
| (4) |