Higher June 2024 Paper 2 Q7
7. Abdul is travelling from the UK to Brazil for a holiday.
Abdul has £825 to exchange for Brazilian reals (R$).
The exchange rate is £1 = 6.27R$.
The bank Abdul uses to exchange his money only has 50R$ notes.
What is the maximum amount of Brazilian reals Abdul can buy and what will this cost him in pounds?
Give your answer correct to the nearest penny.
You must show all your working. [5]
| Scheme | Marks | Comments |
|---|---|---|
| \(825\times6.27\) | M1 | |
| = 5172.75 (R$) | A1 | |
| 5150 (R$) | A1 | FT ‘their 5172.75’ rounded down to the nearest 50 provided M1 previously awarded Sight of 5150 (R$) with no incorrect working implies M1 A1 A1 |
| \(5150 \div 6.27\) | M1 | Strict FT ‘their 5150’ provided a multiple of 50 If 5150 not seen award M1 and the previous A1 for \(103\times50\div6.27\) |
| = (£) 821.37 ISW | A1 | FT Answer must be correct to the nearest penny If final M0 A0, then award a further SC1 for (£)3.63 (left) or similar FT |
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| \(825 \div (50 \div 6.27)\) | M1 | |
| =103.4(5.…) | A1 | Award M1 A0 for \(825 \div 7.97 = 103.5\ldots\) |
| \((103\times50 =)\ 5150\) | A1 | FT ‘their 103(.…) × 50’ provided ‘their 103(.…)’ has been rounded down and M1 previously awarded |
| \(5150 \div 6.27\) | M1 | Strict FT ‘their 5150’ provided a multiple of 50 If 5150 not seen, award M1 and the previous A1 for \(103\times50\div6.27\) |
| = (£) 821.37 ISW | A1 | FT Answer must be correct to the nearest penny If final M0 A0, then award a further SC1 for (£)3.63 (left) or similar FT |
| (5) |