Numeracy Higher November 2019 Unit 2 Q1
1. Rowan lives in New Zealand.
He is coming to Wales on holiday.
The currency used in New Zealand is the New Zealand dollar ($).
1 New Zealand dollar = 100 cents.
The conversion rate at the exchange shop is $1 = £0.53.
The exchange shop only has £10 and £20 notes.
Rowan only has $550 saved.
He wants to exchange as close to $550 as possible.
He asks for as few notes as possible.
Calculate:
- how many of each British note Rowan gets,
- how much he pays for his currency, correct to the nearest cent.
You must show all your working. [6]
| Scheme | Marks | Comments |
|---|---|---|
| (Change to £) 550 × 0.53 (£)291.5(0) | M1 A1 | |
| (Only £10 and £20 notes available so he can buy) (£)290 | A1 | FT ‘their (£)291.5(0)’ (provided not a multiple of 10) rounded down to nearest multiple of 10 Accept stated or implied as (£)1.50 can’t be converted Sight of (£)290 with no incorrect working implies previous A1 |
| (Fewest number of notes making up £290,) 14 £20 (notes) and 1 £10 (notes) | A1 | FT ‘their £290’ provided it is a multiple of 10 Must be fewest number of notes Sight of correct notes with no incorrect working implies previous A1 |
| (Cost in $ to buy £290 is ) 290 ÷ 0.53 or 550 – 1.5(0) ÷ 0.53 (= 550 – 2.83...) | M1 | FT ‘their whole number multiple of £10’ ÷ 0.53 Ignore attempt at any further calculation if 290 ÷ 0.53 seen |
| ($)547.17 | A1 | Must be <($)550 and depends on M1 M1 previously awarded Must be to the nearest cent Mark final answer If final M0 A0, then award SC1 for ($)2.83 (left) or similar FT |