Foundation November 2018 Paper 3 Q16
16 Amal drives her car for work.
She claims 40p per mile from her employer.
Amal’s car travels 52 miles for each gallon of petrol.
She pays £5.36 per gallon for petrol.
On one journey Amal drives 260 miles.
For this journey, how much more does she claim than she pays for petrol? [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(260 \times 0.4(0)\) or 104(.00) or \(260 \times 40\) or 10 400 | M1 | oe cost of claim |
| \(260 \div 52\) or 5 | M1 | oe number of gallons |
| their \(5 \times 5.36\) or 26.8(0) | M1dep | oe dep on 2nd M1 cost of petrol |
| 77.20 | A1 | |
| Alternative method 2 | ||
| \(260 \div 52\) or 5 | M1 | oe number of gallons |
| \(52 \times 0.4(0)\) or 20.80 or \(52 \times 40\) or 2080 | M1 | oe claim per gallon |
| their 20.80 – 5.36 or 15.44 or their 2080 – 536 or 1544 | M1dep | dep on 2nd M1 claim per gallon – cost per gallon |
| 77.20 | A1 | |
| Alternative method 3 | ||
| \(5.36 \div 52\) or 0.10… or \(536 \div 52\) or 10.(…) | M1 | cost of petrol per mile |
| 0.4 – their 0.10… or [0.2969, 0.3] or 40 – their 10.(…) or [29.69, 30] | M1dep | claim per mile – cost per mile |
| their \([0.2969, 0.3] \times 260\) or their \([29.69, 30] \div 100 \times 260\) | M1dep | |
| 77.20 | A1 | |
Additional guidance
| Accept working in pounds or pence for all three method marks | |
| Condone £77.20p | M1M1M1A1 |
| 77.2 | M1M1M1 |
| Answer £77.2 | M1M1M1A0 |