4MA0 Foundation June 2016 Paper 2R Q18
18 There were 2.1 million people living in Dubai in 2013
1.75 million of these people were not born in Dubai.
(a) Work out 1.75 as a percentage of 2.1
Give your answer correct to 1 decimal place. (2)
Give your answer correct to 1 decimal place. (2)
The unit of currency in Dubai is the dirham.
The exchange rate is £1 = 5.52 dirham.
The cost of a pair of running shoes in Dubai is 343 dirham.
The cost of an identical pair of running shoes in the UK is £54.99
The pair of running shoes is more expensive in Dubai than in the UK.
(b) How much more expensive?
Give your answer to the nearest dirham. (3)
Give your answer to the nearest dirham. (3)
A plane flies a distance of 5522 km from London to Abu Dhabi in 7 hours 24 minutes.
(c) Work out the average speed of the plane.
Give your answer in kilometres per hour, correct to 3 significant figures. (3)
Give your answer in kilometres per hour, correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| \(\dfrac{1.75}{2.1} \times 100\) oe | M1 |
| 83.3 | A1 |
| (2) |
Notes
M1: Fully correct method to find %
A1: 83.3 or better
| Scheme | Marks |
|---|---|
| 54.99 × 5.52 (= 303.(54...)) or 343 ÷ 5.52 (=62.(137...)) | M1 |
| 343 − (54.99 × 5.52) (=39.(45..)) or (343 ÷ 5.52) – 54.99 (=7.(14...)) | M1 |
| 39 | A1 |
| (3) |
Notes
A1: (also accept answers in range 39.45 to 39.5)
| Scheme | Marks |
|---|---|
7h 24 min = 7.4 h \(\left(\text{or } 7\dfrac{24}{60}\right)\) oe or 444 (mins) or 26640 (secs) | B1 |
| \(\dfrac{5522}{7.4}\) or \(\dfrac{5522}{444} \times 60\) or \(\dfrac{5522}{26640} \times 3600\) | M1 |
| 746 | A1 |
| (3) |
Notes
M1: use of d/t, allow \(\dfrac{5522}{7.24}\)
A1: 746 - 746.22