Numeracy Intermediate June 2017 Unit 2 Q9
9.
Organics4U is planning to have its headquarters in Wales.
The manager has instructed Ffion to look for a site for the headquarters.
Here are the instructions that Ffion has been given by her manager.
- an equal distance between Wrexham and Aberporth, and
- an equal distance between Caernarfon and Swansea.
On the map below, shade the region, in Wales, that Ffion should identify for her manager. [4]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Organics4U has 16 vehicles on the road every working day.
The company has 6 vans and 10 trucks.
Ffion has the following information for each type of vehicle.
| Type of vehicle | Average distance travelled per litre (km per litre) | Average distance travelled per day (km per day) |
|---|---|---|
| Van | 8 | 256 |
| Truck | 5·5 | 704 |
The fuel used by all of the 16 vehicles costs £1.10 per litre.
Use this information to calculate the total fuel bill for 1 working day.
You must show all your working. [6 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| Perpendicular bisector drawn: Wrexham and Aberporth Caernarfon and Swansea | B1 B1 | Tolerance ±2mm and ±2° Tolerance ±2mm and ±2° |
| Circle with radius 2cm ±2mm (20 miles) centred at the intersection of the perpendicular bisectors | B1 | Independent mark FT from the intersection of ‘their 2 straight lines’, i.e. following previous B0 B0 |
| Correct region in Wales identified, from arc radius equivalent to 2cm ±2mm (20 miles) | B1 | Independent mark FT provided 'their region' (arc of a circle) spans Wales and England to give a similar region which excludes England The region should not include England, shading or indicating the full circle is B0 (Common incorrect response: A circle of the correct radius drawn with the centre at the intersection of straight lines joining Wrexham with Aberporth and Caernarfon with Swansea is awarded B0 B0 B1 B0) |
| Scheme | Marks | Comments |
|---|---|---|
| (Each van uses) 256 ÷ 8 (= 32 litres per day) OR (Each truck uses) 704 ÷ 5.5 (= 128 litres per day) | B1 | May be embedded in further working |
| (Cost for 6 vans) 1.1(0) × 6 × 256÷8 (= £211.20) AND (Cost for 10 trucks) 1.1(0) × 10 × 704÷5.5 (= £1408) | M3 | May be shown in stages Award of any M mark implies award of previous B1 M2 for either of the 6 vans or 10 trucks full calculations (shown opposite), or M2 for both 6 vans and 10 trucks calculations with ‘×1.1(0)’ omitted, i.e. (total number of litres of fuel) 6 × 256÷8 (= 192 litres) AND 10 × 704÷5.5 (= 1280 litres) M1 for either 6 vans or 10 trucks calculations with ‘×1.1(0)’ omitted, i.e. 6 × 256÷8 (= 192 litres) OR 10 × 704÷5.5 (= 1280 litres), or M1 for fuel 1 van and 1 truck, i.e. (256÷8 =) 32 AND (704÷5.5 =) 128 Sight of (£)35.2(0) and (£)140.8(0) or (£)176 is award B1, M1 (from 1.1 × 32 and 1.1 × 128) |
| (Total cost of fuel is) (£) 1619(.20) | A2 | CAO Depends on M3 or M2 previously awarded, award A1 for any 1 of:
|
| Organisation and communication | OC1 | For OC1, candidates will be expected to:
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| Writing | W1 | For W1, candidates will be expected to:
|