Numeracy Foundation June 2018 Unit 2 Q12
12. Grace sees a newspaper advertisement for Blake’s Mopeds.
Blake’s Mopeds
Best deal!
Valid if you show this advertisement.
| Moped £400 | Helmet should be £80, we offer 15% off this price | Other costs payable are • insurance £151.20, and • vehicle tax £37. |
Grace is planning to save for this offer.
She also wants to save enough money for the first month’s fuel.
The moped travels 20 miles on each litre of fuel.
A litre of fuel costs £1.26.
Grace estimates she will travel approximately 350 miles each month on her moped.
Starting this month, Grace will be able to save £60 per month.
After how many complete months will Grace have saved enough money for this offer, including the first month’s fuel?
You must show all your working. [6]
| Scheme | Marks | Comments |
|---|---|---|
| Costs are (Helmet with discount £) 80 – 0.15 × 80 or 0.85 × 80 or equivalent | M1 | (= £68) May be considered in stages |
| (Fuel, 1 month =£) 1.26 × 350 ÷ 20 or 0.06(3) × 350 | M1 | (=£22.05 or £21) |
| (Total of all costs 400 + 151.2(0) + 37 + 68 + 22.05 or 588.20 + 68 + 22.05) | M1 | FT 'their £68' and 'their £22.05' (including use of £21) |
| (£)678.25 | A1 | CAO. OR from alternative method looking at months to save for each item sight of either 11 months and a further (£)18.25 to pay or 12 months and (£)41.75 left over (this method implies possible final m1 and/or A1) |
| (Need to save for) 678.25 ÷ 60 (months) | m1 | Award of m1 may be implied by A1 rounded up number of complete months FT ‘their £678.25' provided at least M1 previously awarded (£677.20 ÷ 60 leads to 11.2866....) Allow sight of repeated addition of £60, at least showing 11 lots of £60 (= £660) An answer of 11(.3… months) implies m1 |
| 12 (complete months) | A1 | FT for ‘their total cost’ ÷ 60 with the answer rounded up to whole number of months provided at least M1 previously awarded |