Higher November 2024 Paper 2 Q3
3
In London, a 200 g Choci bar costs £3.50
In Zurich, a 360 g Choci bar costs 7.20 Swiss francs.
The exchange rate is £1 = 1.25 Swiss francs.
In which city is the Choci bar the better value for money, in London or in Zurich?
You must show how you get your answer. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Zurich (supported) | P1 | for one process to compare, eg eg Currency conversion, \(3.5 \times 1.25\ (= 4.375)\) or \(7.20 \div 1.25\ (= 5.76)\) or finds 1g in one place £3.50 \(\div 200\ (= 0.0175)\) or \(7.20 \div 360\ (= 0.02)\) or finds 200g in Zurich, \(7.2 \div 360 \times 200\ (= 4.0)\) or finds 360g in London, \(3.5 \div 200 \times 360\ (= 6.30)\) or finds grams per unit cost, \(200 \div 3.50\ (= 57.1\ldots)\) or \(360 \div 7.20\ (= 50)\) |
| P1 | for a complete process to find comparable figures in the same currency, eg comparing 200g in £ or francs \(3.5 \times 1.25\ (= 4.375)\) and \(7.2 \div 360 \times 200\ (= 4.0)\) or \(\text{``}4.0\text{''} \div 1.25\ (= 3.20)\) OR comparing 360g in £ or francs \(\text{``}6.30\text{''} \times 1.25\ (= 7.875)\) or \(3.5 \div 200 \times 360\ (= 6.30)\) and \(7.20 \div 1.25\ (= 5.76)\) OR comparing 1g in £ or francs \(\text{``}0.0175\text{''} \times 1.25\ (= 0.0218\ldots)\) and \(7.20 \div 360\ (= 0.02)\) or £3.50 \(\div 200\ (= 0.0175)\) and \(\text{``}0.02\text{''} \div 1.25\ (= 0.016)\) OR comparing quantity per unit cost in £ or francs \(200 \div 3.50\ (= 57.1\ldots)\) and \(360 \div \text{``}5.76\text{''}\ (= 62.5)\) or \(200 \div \text{``}4.375\text{''}\ (= 45.7\ldots)\) and \(360 \div 7.20\ (= 50)\) | |
| C1 | for Zurich supported by correct comparable values, eg 4.3(75 F) and 4(.0 F) or (£)3.2(0) or 7.8(75 F) or (£)6.3(0) and (£)5.76 or 0.021(8… F) and 0.02 (F) or (£)0.017(5) and (£)0.016 or 57(.1… g/£) and 62(.5 g/£) or 45(.7… g/F) and 50 (g/F) |
Additional guidance
Accept figures rounded or truncated to 2sf throughout
Accept working in pence
Ignore incorrect units for P marks
Award of this mark implies the previous
Clear indication that bar is better value for money in Zurich supported by correct values for comparison
Units not needed but if given must be correct
Table with examples at end of mark scheme
Question 3 – Table with examples
| London | Zurich | |
|---|---|---|
| 100g | \(3.5 \div 2 =\) £1.75 \(1.75 \times 1.25 =\) 2.1875 F | \(7.2 \div 360 \times 100 =\) 2.00 F \(2.00 \div 1.25 =\) £1.60 |
| 200g | £3.50 \(3.5 \times 1.25 =\) 4.375 F | \(7.2 \div 360 \times 200 =\) 4.0 F \(4.0 \div 1.25 =\) £3.20 |
| 360g | \(3.5 \div 200 \times 360 =\) £6.30 \(6.30 \times 1.25 =\) 7.875 F | 7.20 F \(7.20 \div 1.25 =\) £5.76 |
| 1g | £3.50 \(\div 200 =\) £0.0175 \(\times 1.25 =\) 0.021875 F | \(7.20 \div 360 =\) 0.02 F \(\div 1.25 =\) £0.016 |
| 40g | £3.50 \(\div 5 =\) £0.70 \(0.7 \times 1.25 =\) 0.875 F | \(7.20 \div 9 =\) 0.8 F \(0.8 \div 1.25 =\) £0.64 |
| By weight | \(350 \div 200 =\) 1.75 p/g \(3.50 \times 1.25 = 4.375\) \(4.375 \div 200 =\) 0.021875 F/g | \(7.20 \div 360 =\) 0.02 F/g \(720 \div 1.25 = 576\) \(576 \div 360 =\) 1.6 p/g |