(a) Albert, Terri and Gareth paid for a tent between them. The amount they each paid for the tent was in the ratio 1 : 4 : 6 respectively. Gareth paid £66.36 towards the tent.
Calculate the cost of the tent. [3]
(b)In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
The charge to stay at a campsite has increased by 5% each year for the last two years. Two years ago, the charge was £24 per night for a large tent and three people.
Calculate the current charge per night for a large tent and three people. You must show all your working. [4 + 2 OCW]
(c) The diagram shows the groundsheet of a tent.
Diagram not drawn to scale
From the formula list: Area of trapezium \(= \dfrac{1}{2}(a+b)h\)
The area of the groundsheet is 6·8 m2. The width of the groundsheet is 2·2 m. Calculate the overall length of the groundsheet. [4]
M1 for sight of 66.36 ÷ 6 or 11.06, or for sight of ‘11.6(0)’ (Note if ×10 seen, check if there is indication if this was derived from 1 + 4 + 6, if so accept for possible M2, if no evidence M0)
(£) 121.66
A1
CAO If no marks, award SC1 for an answer of (£)182.49 (from 11 × 66.36 ÷ 4)
Mark scheme (b)
Scheme
Marks
Comments
(First year increased charge) 24 × 0.05 + 24 or 24 + 24 ÷ 10 ÷ 2 or equivalent
M1
(£) 25.2(0)
A1
Accept 2520(p). Ignore units given
(Second year increased charge) 25.2(0) × 0.05 + 25.2(0) or 25.2(0) + 25.2(0) ÷ 10 ÷ 2 or equivalent
M1
FT ‘their 25.2(0)’
(Increased charge after 2 years is) (£) 26.46
A1
Accept 2646(p). If units are given they must be correct
An answer of (£)26.4(0) (from 24 + 2 × 1.20) implies M1, A1, m0, A0
Sight of 24 × 1.052 implies M2, also award A1 for 24 × 1.1025
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
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 (c)
Scheme
Marks
Comments
½ ×(2.2 + 1.8) × height trapezium + 2.2 × 2 = 6.8
M2
M1 only if brackets omitted for sum of parallel sides in the overall calculation unless dealt with correctly in further working, OR M1 for ½ ×(2.2 + 1.8) × height trapezium (brackets must be given or any ‘missing brackets’ implied by correct interpretation)
FT ‘their 1.2’ + 2 provided at least M1 previously awarded
If no marks, award SC1 for area of the trapezium as 2.4 (m2) provided not from incorrect working, e.g. 6.8 – (2.2 + 1.8 + (0).2 + (0).2) = 2.4 is SC0 6.8 – 2.2 × 2 = 2.4 is SC1
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