Numeracy Intermediate November 2016 Unit 2 Q4
4. Ewan is going on holiday to India.
He has saved £450 to exchange for Indian rupees.
(a) The exchange rate on the internet last week was £1 = 99.40 rupees.
Had Ewan been going on holiday last week, how many rupees could he have bought? [2]
Had Ewan been going on holiday last week, how many rupees could he have bought? [2]
(b) Ewan exchanges his money on arrival in India.
The exchange rate is now £1 = 99.72 rupees.
The exchange rate is now £1 = 99.72 rupees.
The exchange bureau only has 500 rupee notes.
Ewan wants to buy as many rupees as possible with his £450 savings.
How much of his £450 will Ewan spend buying rupees?
Give your answer correct to the nearest penny.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 450 × 99.4(0) | M1 | |
| 44 730 (rupees) | A1 | If units are given they must be correct If no marks, award SC1 for sight of digits 4473(0) irrespective of place value |
| Scheme | Marks | Comments |
|---|---|---|
| (450 × 99.72 =) 44 874 (rupees) | B1 | B1 for sight of (500 ÷ 99.72 =) (£)5.01(40…) |
| Means he can buy 44 500 (rupees) or 89 (500 rupee notes) | B1 | OR B1 for sight of 44 874 ÷ 500 (=89.748…) AND 89 × 500 = 44 500 OR B1 for sight of 450 ÷ 5.01(40…) (=89.748…) AND 89 × 500 = 44 500 or 89 notes |
| 44 500 ÷ 99.72 or 450 – (44 874 – 44 500) ÷ 99.72 | M1 | FT rounding down to nearest 500 rupees provided 450 × 99.72 attempted OR M1 for sight of 446.25 × 99.72 = 44500 from trial & improvement FT ‘their 44 500’ provided it is a multiple of 500 provided at least B1 previously awarded |
| (£) 446.25 | A1 | CAO Use of 99.40 rupees in (b) (450 × 99.40 =) 44 730 (rupees) B0 Means he can buy 44 500 (rupees) or 89 (500 rupee notes) B1 44 500 ÷ 99.40 or 450 – (44 730 – 44 500) ÷ 99.40 M1 (£) 447.69 A0 as CAO |