In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Evan wants to book a holiday in Cyprus for one week. He finds a holiday using the internet.
Half board includes breakfast and evening meal. Full board includes breakfast, lunch and evening meal.
Hotel Amathas ∗ ∗ ∗ ∗
£860 per adult for one week £500 per child for one week (HALF BOARD)
UPGRADES (for one week) FULL BOARD extra £80 per adult, extra £55 per child Extra £115 for a room with a sea view.
DISCOUNT 10% discount for payment in full at the time of booking.
Evan wants to book one room for two adults and one child.
He wants an upgrade to full board for all three people.
He wants a room with a sea view.
Evan pays in full when he books the holiday. Work out the total cost. You must show all your working. [6 + 2 OCW]
(b) Evan and his family will fly from Cardiff Airport to Larnaca International Airport in Cyprus.
Sun 5 Aug 2018 Leave Cardiff 15:00 (UK time) Arrive Larnaca 22:00 (Cyprus time) Cyprus time is 2 hours ahead of UK time.
How long will this flight take? [2]
………………… hours
(c) Evan sees this graph on a website. It shows information about the weather in Larnaca.
Give one criticism of this graph. [1]
(d) Evan sees this information about the average monthly rainfall, in mm, in Larnaca.
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Rainfall (mm)
78
64
34
19
7
2
1
1
6
18
66
94
(i) Which of the words below best describes the chance that it will rain in Larnaca on any given day in August? Circle your answer. [1]
certain likely even chance unlikely impossible
(ii) Which month has an average rainfall closest to 7 centimetres? Circle your answer. [1]
January February May September November
(e) Evan uses internet graphs to compare the average daily sunshine hours in Cardiff and Larnaca.
(i) In Larnaca, which month had an average of 11 daily sunshine hours? [1]
Month …………………
(ii) Find the number of extra average daily sunshine hours in Larnaca compared with Cardiff in June. [2]
(f) Evan sees this information about the highest daily temperature for each month in Larnaca last year.
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Temperature (\(^\circ\)C)
17
17
19
23
25
30
32
33
30
32
27
17
(i) What is the median of these temperatures? [2]
(ii) Explain why the mode of these temperatures is not suitable as an average. [1]
Mark scheme (a)
Scheme
Marks
Comments
(Cost of holiday before extras or discount) 860 ×2 + 500 (=£2220)
M1
The first three method marks may be awarded in any order and may be implied by sub totals or final total before discount.
(Cost of Full Board) 80 ×2 + 55 (=£215)
M1
If M0 M0 awarded, for second M1 allow: (cost for the 2 adults =) (860 + 80) ×2 (=£1880) OR (cost for 1 adult and 1 child = ) 860 + 500 + 80 + 55 (= £1495)
(Total cost with upgrades) (2220 + 215) + 115
M1
Allow addition of 2 or 3 lots of 115 for M1 If calculations not shown, FT ‘their 2220’ + ‘their 215’ along with 115 or 2 or 3 multiples of 115, provided at least M1 previously awarded. Do not penalise twice for the omission of a cost.
=(£)2550
A1
CAO. Do not award A1 if (£)2550 is not the total cost on which discount could be applied.
(Total price after discount) 2550 – 2550 ÷ 10 or equivalent
M1
FT ‘their 2550’. Award M1 A0 for any correct method of subtracting 10% from any other relevant cost. M0 if discount is not subtracted from ‘their (£)2550’.
=(£)2295
A1
Organisation and communication
OC1
For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means
Accuracy of writing
W1
For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc.
Mark scheme (b)
Scheme
Marks
Comments
5 (hours)
B2
B1 for 7 (hours) or sight of 20:00 or 8 p.m. NOT 8 or 8 a.m. or sight of 17:00 or 9 (hours) or 22:00 – 15:00 – 2 hours seen or implied.
Mark scheme (c)
Scheme
Marks
Comments
Suitable criticism given. e.g. 'There is no scale'. ‘The vertical axis does not state \(^\circ\)F or \(^\circ\)C’. ‘No labels on the vertical axis’. ‘It does not give specific temperatures’.
E1
Allow ‘There are no numbers’. Ignore incorrect reference to x and y axis.
Mark scheme (d)
Scheme
Marks
Comments
(i) unlikely
B1
(ii) November
B1
Mark scheme (e)
Scheme
Marks
Comments
(i) April or Apr
B1
(ii) 8(hours)
B2
B1 for sight of 14 and 6. Figures may be seen from the graph OR B1 for the correct answer to 14 – a where a \(\leqslant\) 7 OR B1 for the correct answer to b – 6 where b \(\geqslant\) 7.
Mark scheme (f)
Scheme
Marks
Comments
(i) (order data) 17, 17, 17, 19, 23, 25, 27, 30, 30, 32, 32, 33 Or identify the two middle numbers, 25 and 27.
M1
Allow omission of one value for M1
26(\(^\circ\)C)
A1
CAO Unsupported 26(\(^\circ\)C) gets M1A1
(ii) Appropriate comment e.g. 'The mode is the lowest temperature'. '17 does not represent the data', 'It is too cold to be the average'. ‘It does not use all the data’.
E1
17 alone gets E0 Allow 'all three values are in the winter months'. ‘the lowest temperature is 17’
Corrected by Westie's Workshop
The board's mark scheme printed “17 alone gets B0”. Changed to “17 alone gets E0” because this part is an E1 mark, so the zero mark is E0.
Original: see the board's mark scheme PDF (link above).
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