1MA0 Higher November 2013 Paper 1 Q11
11 Each day a company posts some small letters and some large letters.
The company posts all the letters by first class post.
The tables show information about the cost of sending a small letter by first class post and the cost of sending a large letter by first class post.
Small Letter
| Weight | First Class Post |
|---|---|
| 0–100 g | 60p |
Large Letter
| Weight | First Class Post |
|---|---|
| 0–100 g | £1.00 |
| 101–250 g | £1.50 |
| 251–500 g | £1.70 |
| 501–750 g | £2.50 |
One day the company wants to post 200 letters.
The ratio of the number of small letters to the number of large letters is 3:2
70% of the large letters weigh 0–100 g.
The rest of the large letters weigh 101–250 g.
Work out the total cost of posting the 200 letters by first class post. (5)
| Answer | Mark | Notes |
|---|---|---|
| 164 | 5 | M1 \(200 \div (3 + 2)\) (= 40) or an equivalent ratio seen M1 (dep) \(3 \times\) ‘40’ (= 120) or \(2 \times\) ‘40’ (= 80) or 120: 80 or 80:120 M1 a complete method to find 70% of their total number of large letters e.g. \(0.7 \times\) ‘80’ (=56) M1 multiplies their three totals by the correct unit price and adds, e.g. 60(p) \(\times\) ‘120’ + (£)1 \(\times\) ‘56’ + (£)1.50 \(\times\) ‘24’ A1 164 |