1MA0 Foundation June 2016 Paper 2 Q26
26 Colin works on 5 days each week.
Each day he drives from his home to work and from work to his home.
Colin pays £3.50 each day to use the car park at work.
The distance from Colin’s home to work is 18 miles.
Colin’s car uses one gallon of petrol every 45.2 miles.
1 litre of petrol costs 136.9p
1 gallon = 4.546 litres
Work out the total cost for Colin to use his car for work each week.
You must show all your working. (5)
| Answer | Mark | Notes |
|---|---|---|
| 42.28 | 5 | M1 for method to find weekly mileage eg. \(18 \times 2 \times 5\) (= 180) or weekly car park charge, eg. \(3.50 \times 5\) (= 17.50) M1 for method to find fuel used in a relevant journey eg. \(180 \div 45.2\) (= 3.9823 gallons) or \(18 \div 45.2\) (= 0.39823 gallons) M1 for a correct use of the conversion factor to convert between gallons and litres eg. \(\text{``}3.9823\text{''} \times 4.546\) (= 18.1 … litres) or \(\text{``}0.39823\text{''} \times 4.546\) (= 1.81 …. litres) or \(1.369 \times 4.546\) (= 6.22... £/gallon) or \(45.2 \div 4.546\) (= 9.942 miles/litre) M1 for a method to find the cost of a relevant journey eg. \(\text{``}18.1…\text{''} \times 1.369\) (= 24.78 …) or \(\text{``}1.81…\text{''} \times 1.369\) (= 2.478 …) or \(\text{``}3.9823\text{''} \times \text{``}6.22..\text{''}\) (= 24.78...) A1 for answer in the range 42.26 to 42.3(0) NB candidates could work in litres or in gallons and/or could work in £ or p |
Table for use in Question 26
| Journeys in miles | Fuel used in gallons; miles ÷ 45.2 | Fuel used in litres, gallons × 4.546 | Cost of journey in £, litres × 1.369 or gallons × 6.22... |
|---|---|---|---|
| 18 | 0.398... | 1.81... | 2.478... |
| 36 | 0.796... | 3.62... | 4.956... |
| 90 | 1.991... | 9.05... | 12.39... |
| 180 | 3.98... | 18.1... | 24.78... |
| 252 | 5.57... | 25.3... | 34.69... |