Foundation November 2023 Paper 1 Q12
12 The costs to hire a motorhome are shown below.
| Motorhome hire | |
|---|---|
| First day | £130 |
| Each extra day | £90 |
| Each mile travelled | 60p |
Finley hired a motorhome and travelled 560 miles.
The total cost of hiring the motorhome was £916.
Calculate how many days Finley hired the motorhome for.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 6 with correct working | 5 | M1 for \(560 \times 0.6\) or \(560 \times 60\) M1 for \(916 - 130\) or \(916 -\) their \((560 \times 0.6)\) M1 for \(916 - (130 +\) their \((560 \times 0.6))\) M1 for \((916 - (130 +\) their \((560 \times 0.6))) \div 90\) Trials M4 for \(560 \times 0.6 + 5 \times 90 + 130 = 916\) oe or M3 for two trials of the form \(560 \times 0.6 + n \times 90 + 130\) oe seen and correctly evaluated where \(n \geqslant 1\), \(n \ne 5\) or M2 for one trial of the form \(560 \times 0.6 + n \times 90 + 130\) seen and correctly evaluated where \(n \geqslant 1\), \(n \ne 5\) or M1 for \(560 \times 0.6\) [\(+\ldots\)] If 0, 1 or 2 scored, instead award SC3 for answer 6 with no working or insufficient working If 0 or 1 scored, instead award SC2 for answer 5 with no working or insufficient working If 0 scored, SC1 for 450 with no working or insufficient working | “Correct working” requires evidence of at least M3 or M1 M1 M1 Their \(560 \times 0.6\) may be \(560 \times 60\) with an attempt to convert to pounds \(\div 90\) may be repeated subtraction or addition egs for Trial and +90s M4 for \(560 \times 0.6 + 3 \times 90 + 130 = 736\) and \(736 + 90 + 90 = 916\) M3 for \(560 \times 0.6 + 3 \times 90 + 130 = 736\) and \(736 + 90 = 826\) M2 for \(560 \times 0.6 + 3 \times 90 + 130 = 736\) M1 for \(560 \times 0.6\) [\(+\ldots\)] For trials and trials + 90s, accept correct rearrangements that have a target of 786, 580 or 450 rather than 916 |