Higher June 2017 Paper 1 Q5
5. The table shows the cost of sending items using a delivery service.
| Mass less than | Full insurance against being lost: | ||
|---|---|---|---|
| £250 | £750 | £1500 | |
| 100 g | £5 | £7 | £9 |
| 250 g | £7.50 | £9.50 | £11.50 |
| 1000 g | £9.25 | £11.25 | £13.25 |
| 1750 g | £11 | £13 | £15 |
| 2500 g | £13.50 | £15.50 | £17.50 |
| 5000 g | £18 | £20 | £22 |
Riley is planning to send two laptops to James using this delivery service.
The laptops are to be sent with full insurance against being lost.
Each laptop is worth £700 and has a mass of 1250 g, correct to the nearest 50 g.
Riley says,
“The delivery charge is more than £20.”
James says,
“You can send these for less than £20.”
Explain how Riley and James could have come to their conclusions.
Show all your working and state any assumption that you make. [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Riley, more than £20: Sent separately, Insurance £750 each) Cost £26 seen or (Sent together, Insurance £1500) Cost £22 seen | E1 | Not from wrong working |
| (James, less than £20: Sent together, Insurance £1500) Cost £17.50 seen | E1 | |
| Valid statement or example using limit of accuracy. e.g. ‘The masses could both be less than 1250g’, ‘One laptop could weigh 1230g and the other 1250g’ ‘They could have a total mass of 2460’ | E1 | For recognising that the limit of accuracy has an impact on the problem; allow for a total mass between 2450 and 2550 or individual masses between 1225 and 1275 |
| One valid assumption: ‘Laptops can be sent separately’ ‘Laptops can be sent together’ ‘Packaging does not increase the mass to more than 2500g’ | E1 | Appropriately stated; allow embedded statements eg ‘If they are sent together then…’ or ‘If they are sent separately then …’ or ‘If both laptops weigh less than 1250 g then …’ or ‘Sent together…’ |
| (4) |