Higher June 2019 Paper 2 Q11
11. You are given the following:
1 kg \(\approx\) 2·2 pounds
1 pound = 16 ounces
In Keto’s restaurant, steak is on the menu.
Order any steak for £11 per 100 g
How much would it cost to order an 8-ounce steak in Keto’s restaurant?
You must show all your working. [5]
| Scheme | Marks | Comments |
|---|---|---|
| \(100\text{ g} = 0.22\) pounds or 1 pound \(= (1 \div 2.2 =)\ 0.4545\ldots\) kg | B1 | May be embedded in working |
| \(\frac12\) pound or 8 ounces \(\approx\) \((100 \div 0.22) \times 0.5\) (g) or \((1 \div 2.2) \div 2\) (kg) | M1 | Or equivalent Award of M1 implies award of B1 previously |
| 227(.2727.... g) or 0.227(27... kg) | A1 | |
| (£) \(227(.2727\ldots) \times 11 \div 100\) or (£) \(0.227(27\ldots) \times 11 \times 1000 \div 100\) | M1 | FT use of ‘their 227(.2727...)’ provided at least 1 mark previously awarded |
| Answer in the range (£)24.97 to (£)25.00 | A1 | FT for a similar range from rounding or truncation to a whole number If final M0, A0 due to 200g or 300g considered following otherwise correct working, award SC1 for answers of £22 or £33 respectively |
| (5) |
Alternative 1
| Scheme | Marks | Comments |
|---|---|---|
| (For) £11 gets 0.22 lbs (of steak) | B1 | |
| (Which is) \(16 \times 0.22\) \(= 3.52\) oz | M1 A1 | (may be embedded) |
| (8 oz costs) \(8 \times 11 \div 3.52\) | M1 | (FT \(16 \times 0.22\)) |
| \(=\) (£)25 | A1 |
Alternative 2
| Scheme | Marks | Comments |
|---|---|---|
| (For) £110 gets 2.2 lbs (of steak) | B1 | |
| \(110 \div 2.2\) | M1 | |
| \(=\) (£)50 (per lb) | A1 | |
| (8 ounces costs) \(50 \div 2\) | M1 | |
| \(=\) (£) 25 | A1 |