Foundation November 2021 Paper 1 Q12
12.
The table shows the standard prices per night at the Cliff Hotel for 2022.
| Dates | Double Plus Room (1 or 2 adults plus no more than one child) | Family Room (4 or 5 people) | |
|---|---|---|---|
| Each adult | Each child | ||
| 01 Mar – 31 May | £117 | £63 | £8 |
| 01 Jun – 31 Aug | £160 | £80 | £12 |
| 01 Sep – 30 Nov | £105 | £57 | £7 |
The hotel website states:
- a child must be 17 years old or less,
- a person aged 18 or more must pay the adult rate,
- a single adult in a double plus room pays \(\frac{3}{4}\) of the standard price per night.
Mr and Mrs King are making a booking for one night in August 2022.
They will be taking their two sons, William aged 11 and Henry aged 20.
Mr and Mrs King are going to book either
- one double plus room for themselves and William and one double plus room for Henry, or
- one family room for all 4 of them.
How much more will it cost the King family to stay for the night in two double plus rooms than it will if they stay in a family room?
You must show all your working. [5]
£ …………… more
In March 2020, the King family went on holiday to New Delhi, India.
When their flight took off from London, it was 14:55 in New Delhi.
The duration of the flight was 8 hours 10 minutes.
What was the time in New Delhi when their flight arrived? [2]
Flights from New Delhi back to London take a different route.
The King family’s flight was due to take off from New Delhi at 11:05, New Delhi time, on 21st March.
It was due to arrive in London at 15:20, London time, on 21st March.
New Delhi time is 5 hours 30 minutes ahead of London time.
What was the duration of their flight?
You may assume the flight took off and landed on time. [3]
Duration of flight ……………
The assumption in part (ii) was incorrect.
The flight took off 10 minutes late and landed in London before 15:20.
How does this affect your answer to part (ii)? [1]
| Scheme | Marks | Comments |
|---|---|---|
| (Double plus rooms = ) 160 + ¾ × 160 | M1 | oe; may be embedded |
| (£) 280.00 | A1 | implied by correct answer |
| (Family room = ) 80 × 3 + 12 | M1 | oe; may be embedded |
| (£)252(.00) | A1 | implied by correct answer |
| (£)28(.00) | B1 | FT double plus cost – family room cost = ‘their 280’ – ‘their 252’ provided at least M1 previously awarded. Common FT answer is 320 – 252 = 68 Treat consistently using the wrong row of the table as a misread |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 23:05 or 11 05 (pm) | B2 | Allow for 23:05 pm B1 for attempting to add 8 hours 10 minutes to 14:55; implied by e.g. 22: 65 or for 11 05 am |
| (ii) 15 h 20 min less 11 h 5 min plus 5 h 30 min e.g. 4 15 plus 5 30 or 20 50 less 11 05 or 15 20 less 5 35 | M2 | si; may be in steps; allow poor use of notation M1 for 15 h 20 min less 11 h 5 min (= 4 h 15 min) or for 15:20 plus 5 h 30 min (= 20:50) or for 11:05 less 5 h 30 min (= 05:35) |
| 9h 45 min oe | A1 | not from wrong working; mark final answer |
| (iii) Valid comment about the duration of the flight e.g. ‘It was less than expected’ or ‘The flight took less than 9 h 45 min’ | E1 | There must be no contradictions for E1 but ignore irrelevant comments Allow ‘< 9 45’ or ‘It will make the journey more than 10 minutes shorter.’ Do not allow ‘It will arrive earlier’ or ‘It will be behind schedule.’ or answers that specify exactly how long the flight would have been as this cannot be determined |
| (11) |