Foundation June 2019 Paper 1 Q3
3. Cover Insurance sells insurance for laptops.
They have two offers.
| Laptop insurance Offer 1 One payment only £60 for one whole year | Laptop insurance Offer 2 Pay monthly 12 months for £4.50 per month |
(a)
Mika wants to buy insurance for his laptop.
Show that if Mika uses Offer 2 he will save 10% of the cost of using Offer 1. [3]
(b)
During April, Cover Insurance sold 630 policies.
How many policies per day, on average, did they sell for this month? [2]
| Scheme | Marks | Comments |
|---|---|---|
| 12 × 4.5(0) | M1 | Must be seen |
| 54 | A1 | CAO; not from wrong working; sight of 54 does not imply M1 A1 |
| Valid conclusion e.g. 10% of 60 = 6 and 60 – 54 = 6 or 60 – 54 = 6 and \(\dfrac{6}{60} = \dfrac{1}{10}\) (=10%) or 60 – 6 = 54 | A1 | or equivalent |
Alternative
Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| 60 ÷ 12 | M1 | Must be seen |
| 5 | A1 | |
| Valid conclusion e.g. 10% of 5 = 0.5(0) and 5 – 4.5(0) = 0.5(0) or 5 – 4.5(0) = 0.5(0) and \(\dfrac{0.5}{5} = \dfrac{1}{10}\) (=10%) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 630 ÷ 30 si | M1 | Allow for 630 ÷ \(k\), where \(k\) = 28, 29 or 31; may be in stages but 600 ÷ 30 only is M0 |
| 21 | A1 | CAO; allow for e.g. \(\begin{array}{r} 21 \\ 30\,\overline{\smash{)}\,630} \end{array}\) |
| (5) |