Foundation November 2021 Paper 2 Q21
21 Lynn works as a bus driver.
She is paid £10.80 per hour for the first 38 hours she works each week.
She is paid 25% more per hour for each extra hour she works.
One week, Lynn was paid £491.40
In total, how many hours did she work that week?
You must show your working. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(38 \times 10.8(0)\) or 410.4(0) | M1 | oe |
| \(10.8(0) \times 0.25\) or 2.7(0) | M1 | oe |
| \(10.8(0) +\) their 2.7(0) or 13.5(0) | M1dep | dep on 2nd M1 \(10.8(0) \times 1.25\) is 2nd M1 and 3rd M1 |
| (491.4(0) \(-\) their 410.4(0)) \(\div\) their 13.5(0) or \(81 \div\) their 13.5(0) or 6 | M1dep | oe eg \(6 \times 13.5 = 81\) or \(410.4 + 13.5 + 13.5 + 13.5 + 13.5 + 13.5 + 13.5 = 491.4\) dep on M3 |
| 44 with 410.4(0) and 13.5(0) seen | A1 | |
| Alternative method 2 | ||
| \(38 \times 10.8(0)\) or 410.4(0) | M1 | oe |
| 491.4(0) \(-\) their 410.4(0) or 81 | M1dep | |
| their \(81 \div 10.8(0)\) or 7.5 | M1dep | oe |
| their \(7.5 \div 1.25\) or 6 | M1dep | oe |
| 44 with 410.4(0) and 7.5 seen | A1 | |
| Alternative method 3 | ||
| \(491.4(0) \div 10.8(0)\) or 45.5 | M1 | oe |
| their \(45.5 - 38\) | M1dep | |
| 7.5 | A1 | oe may be implied by 6 |
| their \(7.5 \div 1.25\) or 6 | M1dep | oe dep on M2 |
| 44 with 45.5 and 7.5 seen | A1 | |
Additional guidance
Choose the scheme that favours the student
Up to 3 marks may be awarded for correct work, with no or incorrect answer, even if this is seen amongst multiple attempts
Build up attempts must be fully correct or show method