Numeracy Higher November 2021 Unit 2 Q3
3.
| Terra Rose currency exchange | |
|---|---|
| Buying currency £1 buys $1.36 (US dollars) | Notes available $5, $10, $20, $50, $100 |
Nerys is going on holiday to the USA for 13 days and then to Italy for 7 days.
She has saved a total of £500 to buy US dollars ($) and euros (€).
Nerys takes \(\dfrac{13}{20}\) of her savings to buy US dollars from Terra Rose currency exchange.
She wants to buy as many dollars as possible.
Nerys plans to use all her remaining money to buy euros.
How many dollars will Nerys buy?
How much money, correct to the nearest penny, will she have left to buy euros?
You must show all your working. [8]
Nerys will buy $ ……………
She will have £ …………… left to buy euros.
| Scheme | Marks | Comments |
|---|---|---|
| (To spend on $) OR (Convert to $) 13/20 × 500 500 × 1.36 = (£) 325 = ($) 680 | M1 A1 | May be embedded in further calculation |
| (Buying $) 13/20 × 500 × 1.36 ($) 442 | M1 A1 | FT ‘their incorrectly evaluated 13/20 × 500’ |
| (As lowest note $5 can only buy) ($) 440 | B1 | Allow equivalent given unambiguously in possible notes FT ‘their derived 442’ rounded down to the nearest multiple of 5 If ($)442 in the answer space, only award if clearly showing ‘buying $440’ |
| (This will cost) 440 ÷ 1.36 or 13/20 × 500 – (442 – 440) ÷ 1.36 or 325 – 2 ÷ 1.36 | M1 | FT ‘their derived 442’ and ‘their derived 440’ provided it is a multiple of 5 |
| (£) 323.53 or (£)323.52(9…) | A1 | |
| (Money left to buy euros 500 – 323.53) (£)176.47 | A1 | FT provided to the nearest penny Do not FT from incorrect rounding of ‘their £323.52(9…)’ Note: 500 – 323.52 = (£)176.48 is A0 If unambiguous and clear correct response seen in working, ignore a slip in transferring (£)176.47 to the answer space. Ignore answers reversed in the answer space |
Alternative
3. Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| (To spend on $) OR (Convert to $) 13/20 × 500 500 × 1.36 = (£) 325 = ($) 680 | M1 A1 | May be embedded in further calculation |
| (Buying $) 13/20 × 500 × 1.36 ($) 442 | M1 A1 | FT ‘their incorrectly evaluated 13/20 × 500’ |
| (As lowest note $5 can only buy) ($) 440 | B1 | Allow equivalent given unambiguously in possible notes FT ‘their derived 442’ rounded down to the nearest multiple of 5 May be implied by use of $2 |
| ($2 is worth) (442 – 440) ÷ 1.36 or 2 ÷ 1.36 | M1 | FT ‘their derived 442’ and ‘their derived 440’ provided it is a multiple of 5 |
| (£) 1.47(05..) | A1 | |
| (Money left to buy euros 500 – 325 + 1.47) (£)176.47 | A1 | FT provided to the nearest penny Do not FT from incorrect rounding of ‘their £1.47(05...)’ If unambiguous and clear correct response seen in working, ignore a slip in transferring (£)176.47 to the answer space. Ignore answers reversed in the answer space |