1MA0 Foundation June 2017 Paper 1 Q14
14 Matthew has a job.
His normal hourly rate of pay is £10
His overtime hourly rate of pay is \(1\frac{1}{2}\) times his normal hourly rate of pay.
Matthew is paid at the normal hourly rate for 7 hours work each day, Monday to Friday.
He does not work on Saturday or Sunday.
Here is a table showing the number of hours of overtime he worked each day this week.
| Mon | Tues | Wed | Thur | Fri | |
|---|---|---|---|---|---|
| Overtime (hours) | 3 | 2 | 0 | 1 | 3 |
Work out Matthew’s total pay for this week. (5)
| Answer | Mark | Notes |
|---|---|---|
| 485 | 5 | M1 for a method to find weekly basic pay e.g. \(7 \times 10\) (= 70) and \(\text{``}70\text{''} \times 5\) (= 350) M1 for a method to find overtime rate e.g. \(10 + 5\) or \(1\frac{1}{2} \times 10\) (= 15) M1 for a method to find total overtime pay e.g. \((3 + 2 + 1 + 3) \times \text{``}15\text{''}\) (= 135) M1 for a method to find total pay e.g. \(\text{``}350\text{''} + \text{``}135\text{''}\) A1 cao or M3 for method to calculate pay per day for 5 days e.g. Mon \(70 + 45\) (= 115), Tues = \(70 + 30\) (= 100), Wed = 70, Thurs = \(70 + 15\) (= 85), Fri = \(70 + 45\) (= 115) (M2 for method to calculate pay per day for 3 or 4 days) (M1 for method to calculate pay per day for 1 or 2 days except Wednesday) M1 for totalling all five days e.g. \(\text{``}115\text{''} + \text{``}100\text{''} + \text{``}70\text{''} + \text{``}85\text{''} + \text{``}115\text{''}\) A1 cao or M1 for a method to find overtime hours e.g. \(3 + 2 + 1 + 3\) (= 9) and weekday hours \(7 \times 5\) (= 35) M1 for a method to find equivalent time on overtime e.g. \(\text{``}9\text{''} + \text{``}9\text{''} \div 2\) M1 for a method to find total equivalent time e.g. \(\text{``}13.5\text{''} + \text{``}35\text{''}\) M1 for a method to find total pay e.g. \(\text{``}48.5\text{''} \times 10\) A1 cao SC B2 for answer of 575 |