Numeracy Foundation November 2018 Unit 2 Q4
4. The following conversion graph can be used to convert between kilograms (kg) and pounds (lb).

(a) Use the graph to convert 2·5 kg into pounds (lb).
Circle your answer. [1]
Circle your answer. [1]
5·5 lb 4·75 lb 5·25 lb 1·1 lb 1·4 lb
Griff is a chef.
In Griff’s restaurant, customers can decide whether they want their roast beef cooked rare, medium or well done.
Griff weighs the piece of beef he is to cook and then uses the following formulae to calculate its cooking time.
| Cooking time (rare) = 20 minutes per lb + 20 minutes |
| Cooking time (medium) = 25 minutes per lb + 25 minutes |
| Cooking time (well done) = 30 minutes per lb + 30 minutes |
(b) A 4 lb piece of beef is to be cooked rare.
Calculate the cooking time in minutes. [2]
Calculate the cooking time in minutes. [2]
(c) A 3 kg piece of beef is to be cooked well done.
Calculate the cooking time in minutes. [3]
Calculate the cooking time in minutes. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 5·5 lb | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 20 × 4 + 20 100 (minutes) | M1 A1 | ISW Allow 1 hour 40 (minutes) |
| Scheme | Marks | Comments | ||||||
|---|---|---|---|---|---|---|---|---|
| (3 kg =) 6.6 (lb) | B1 | Answer may be seen on graph Allow answer between 6.5(lb) and 6.7(lb) | ||||||
| Correct substitution into correct formula (e.g. 30 × 6·6 + 30) | M1 | May be implied in later working F.T 'their 6·6’. Do not accept 30 × 3 + 30 for M1 | ||||||
| Correct answer (e.g. 228 (minutes)) | A1 |
Allow answers in hours and minutes |