Numeracy Higher June 2019 Unit 1 Q4
4. A helicopter pilot is planning a route from Milford Haven to Ruabon and then on to Swansea.
(a) In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
The plan for the flight is shown below.
| Journey | Average speed | Time |
|---|---|---|
| Milford Haven to Ruabon | 90 mph | 1 hour 20 minutes |
| Ruabon to Swansea | 80 mph | 1 hour 15 minutes |
Calculate the total distance of the flight.
Give your answer in miles.
You must show all your working. [4 + 2 OCW]
(b) On average, the helicopter uses 0·4 gallons of fuel per minute.
Remember: 1 gallon = 4·55 litres
Use this information to calculate how many litres of fuel the helicopter would be expected to use for the flight planned in (a).
You must show all your working. [5]
Fuel = …………………… litres
| Scheme | Marks | Comments |
|---|---|---|
| Sight of (Milford Haven to Ruabon) 90 × 1⅓ OR (Ruabon to Swansea) 80 × 1¼ | M1 | For the appropriate idea of speed × time. Allow sight of
|
| (Milford Haven to Ruabon) 120 (miles) AND (Ruabon to Swansea) 100 (miles) | A2 | CAO A1 for 90 + 30 or 80 + 20 or equivalent only provided there is no evidence of any misconception, e.g. (80 + 35) |
| (Total distance) 220 (miles) | B1 | FT provided at least M1, A1 previously awarded |
| 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. |
| Scheme | Marks | Comments |
|---|---|---|
| (Total time is) 155 (minutes), or for sight of 80 (minutes) and 75 (minutes) | B1 | |
| (Total fuel needed would be) 155 × 0.4 × 4.55, or 80 × 0.4 × 4.55 + 75 × 0.4 × 4.55 | M2 | FT ‘their number of minutes’ provided both parts of the journey are considered and both parts take > 60 minutes Use of ‘÷2.5’ is equivalent to ‘×0.4’ (referred to as ‘a product’ in the details for M1 and A1) M1 for sight of
|
| 282(.1) (litres) | A2 | CAO, accept 280 (litres) only if 282(.1) seen A1 for sight of any one of the following, provided at least M1 previously awarded:
A1 for one of the two stages of evaluating products calculated accurately |