1MA0 Higher November 2012 Paper 2 Q10
*10 In the UK, petrol cost £1.24 per litre.
In the USA, petrol cost 3.15 dollars per US gallon.
1 US gallon = 3.79 litres
£1 = 1.47 dollars
Was petrol cheaper in the UK or in the USA? (4)
| Working | Answer | Mark | Notes | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
For example
Cost in $ per US gal of UK fuel = $1.47 × 4.6996 = $6.908412 OR Cost in £ of 1 US gal of US fuel = $3.15 ÷ 1.47 = £2.14 Cost in £ per litre of US fuel = £2.14 ÷ 3.79 = £0.56(5..) OR Cost in UK in £ per US gal = £1.24 × 3.79 (=£4.6996) Cost in USA in £ per US gal = £3.15 ÷ 1.47 (=2.1428) OR Cost in UK is $ per litre = £1.24 × 1.47 (=1.8228) Cost in USA in $ per litre = 3.15 ÷ 3.79 (=0.8311...) | Cheaper in US | 4 | M1 for 1.24 × 3.79 (= 4.6996) or 1.24 × 1.47 (=1.8228) M1 for 1.47 × ‘4.6996’ or 3.79 × ‘1.8228’ A1 for 6.90(8412) C1 (dep on M2) for $‘6.90(8412)’ or $‘6.91’ and reaching a conclusion consistent with their calculation OR M1 for 3.15 ÷ 1.47 (=2.1428..) or 3.15 ÷ 3.79 (=0.8311) M1 for ‘2.14’ ÷ 3.79 or ‘0.8311’ ÷ 1.47 A1 for 0.56(53…) C1 (dep on M2) for £‘0.56(53...)’ or ‘£0.57’ and reaching a conclusion consistent with their calculation OR M1 1.24 × 3.79 (= 4.6996) M1 3.15 ÷ 1.47 (=2.1428..) A1 4.69(96) and 2.14(28...) C1 (dep on M2) for £‘4.69(96)’ or £‘4.70’ AND £‘2.14(28...)’ and reaching a conclusion consistent with their calculation OR M1 for 1.24 × 1.47 (=1.8228) M1 for 3.15 ÷ 3.79 (=0.8311...) A1 for 1.82(28) and 0.83(11...) C1 (dep on M2) for $‘1.82(28)’ and $‘0.83(11...)’ and reaching a conclusion consistent with their calculation |