Foundation November 2017 Paper 1 Q12
12. Archie owns a small business.
(a)
He bought pens and cards to advertise his business.
He wanted the number of pens to be as close as possible to the number of cards.
Archie spent exactly £250.
Each pen cost £3 and each card cost £1.
How many pens and how many cards could Archie have bought?
You must show all your working. [3]
(b)
Archie raised a total of £800 from two investors.
These investors were paid 5% per year simple interest on the amount they invested.
Complete the table. [4]
| Investor | Amount invested (£) | Number of years | Total Interest (£) |
|---|---|---|---|
| Fred | 500 | 3 | |
| Ceri | 300 | 60 |
| Scheme | Marks | Comments | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Attempts 250 ÷ 4 or At least two improving trials listing costs of approximately equal quantities of pens and cards | M1 | Or for one trial with any whole number of pens from 60 to 65 e.g. 62 pens and 62 cards | ||||||||||
| 63 pens and 61 cards or 62 pens and 64 cards ISW | A2 | Award A1 for sight of any one of these pairs:
|
| Scheme | Marks | Comments |
|---|---|---|
| Fred 75 | B2 | B1 for (5% of 500 = £) 25 |
| Ceri 4 | B2 | B1 for 60 ÷ ‘their 5% of 300’ |
| (7) |