1MA0 Higher June 2016 Paper 2 Q11

11 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)

Mark scheme

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. \(\text{``}180\text{''} \div 45.2\) (= 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 \(45.2 \div 4.546\) (= 9.94… miles/litre) M1 for a method to find the cost of a relevant journey, eg. \(\text{``}18.1\ldots\text{''} \times 1.369\) (= 24.78 …) or \(\text{``}1.81\ldots\text{''} \times 1.369\) (= 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

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...