Numeracy Intermediate June 2017 Unit 1 Q3
3. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Maes Alun Camping
Charges
Tents covering ground area:
| • less than or equal to 12 m2 | cost | £14 per night |
| • greater than 12 m2 | cost | £16 per night |
AND
Charge per person: £4 per night
Stay 5 nights and get the next night completely free.
This means no charge for tents or people on every 6th night.
Rhodri and Lars are planning a camping holiday, staying at Maes Alun Camping.
They are going to
- take only one tent between them,
- take a tent covering a rectangular ground area, measuring 2·5 metres by 4·4 metres,
- both stay for a total of 12 nights.
Their holiday is just 8 weeks away.
They each plan to save £15 per week from now until their holiday in 8 weeks’ time.
Will the amount they save be enough to pay for their holiday?
You must show all your working. [8 + 2 OCW]
| Scheme | Marks | Comments | ||||||
|---|---|---|---|---|---|---|---|---|
| (Tent ground area ) 2.5 × 4.4 | M1 | Allow for sight of 2(.)5(0) × 4(.)4(0) Working of the ground area must be seen, i.e. sight of 2.5 × 4.4 not 2 × 4 or 3 × 4 | ||||||
| = 11 (m2) | A1 | CAO, not FT If no area calculation seen award M0, A0 then FT for M and A marks, final mark E0 | ||||||
| (Total cost for 12 nights, pay for 10 nights =) 10×14 + 2×10×4 | M2 | FT ‘their ground area >12m2 to calculation 10×16 + 2×10×4 (=£240) for M2 or equivalent M1 (see formula below) If incorrect interpretation of ‘their ground area’, award M1 only for either area ≤12m2 with 10×16 + 2×10×4 (=£240), or area>12m2 with 10×14 + 2×10×4 (=£220), M1 for a sum of two products: (2 x) a × b + (2 ×) 4 × c where a = 10, 11 or 12 b = 14 or 16 c = 10, 11 or 12 The initial (2 ×) is if the error is 2 tents! For example:
Working with the cost of 1 night, e.g. 14 + 2 × 4 or 16 + 2 × 4, ignore errors in calculation and award M2 or M1 as appropriate when attempt to multiply by 10, 11 or 12 is seen, i.e work may be seen in stages | ||||||
| (140 + 80 = £) 220 | A1 | CAO If previous M0, A0 for costs, award SC1 for sight of 1 night cost (£)22 or for sight of 10×14 and 2×10×4 without indication of addition | ||||||
| (Saving = 2×) 8 × 15 | M1 | Allow M1 only 1 person saving | ||||||
| (£) 240 | A1 | CAO, not FT Alternative (How many weeks of saving)
Or equivalent for working with cost per person, i.e. ½ × 10 × 14 + 10 × 4 = £110 and saving 8 × 15 = £120, all previous marks are available | ||||||
| Conclusion, e.g. ‘planned saving is enough to pay for the holiday’ | E1 | FT comparison for ‘their £240 saved’ with ‘their total cost’, provided at least 2 M marks previously awarded one of which must be for area calculation Allow the conclusion 'yes' | ||||||
| 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. |