Numeracy Foundation June 2017 Unit 2 Q12
12. Organics4U is a company based in Wales that delivers organic products.
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]
| 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:
|