Foundation June 2024 Paper 3 Q22
22 Kay hires a digger.
The cost per day is
- £24.50 for the first 5 days
- reduced by 20% for day 6
- the same as day 6 for day 7 onwards.
The total cost is £259.70
For how many days did Kay hire the digger?
You must show your working. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(5 \times 24.5\) or 122.5 | M1 | oe |
| \(24.5 \times 0.2\) or 4.9 | M1 | oe |
| \(24.5 -\) their 4.9 or 19.6 | M1dep | oe dep on 2nd M1 \(24.5 \times 0.8\) oe is 2nd M1 and 3rd M1 |
| \((259.7 -\) their \(122.5) \div\) their 19.6 or \(137.2 \div\) their 19.6 | M1dep | oe dep on 3rd M1 eg1 \(7 \times 19.6 = 137.2\) eg2 \(122.5 + 19.6 + 19.6 + 19.6 + 19.6 + 19.6 + 19.6 + 19.6 = 259.7\) |
| 12 with 19.6 seen or 12 with 122.5, 142.1, 161.7, 181.3, 200.9, 220.5, 240.1, 259.7 | A1 |
Additional guidance
| Up to M3 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 | |
| \(122.5 + 19.6\) | M1M1M1 |
| 122.5, 142.1, 161.7, 181.3, 200.9, 220.5, 240.1, 259.7 without 12 | M1M0M0M0 |