Numeracy Foundation November 2019 Unit 2 Q6
6. Barrels are used to store liquid.
Glass containers are filled with liquid from a barrel.
The table below gives the capacity of some glass containers and their traditional names.
(a) Complete the table to give the number of bottles equivalent to all the traditional sizes. [2]
| Capacity in litres | Number of bottles | Traditional name |
|---|---|---|
| 0·75 | 1 | Bottle |
| 1·5 | 2 | Magnum |
| 3 | ..................... | Jéroboam |
| 4·5 | ..................... | Réhoboam |
| 6 | 8 | Methuselah |
| 9 | 12 | Salmanazar |
| 12 | ..................... | Balthazar |
(b) A barrel contains just enough liquid to fill 3 Salmanazars and 1 Magnum.
Which of the following amounts does the barrel hold?
Circle your answer. [1]
Which of the following amounts does the barrel hold?
Circle your answer. [1]
4 bottles 28·5 bottles 10·5 bottles 36 bottles 38 bottles
(c) A different barrel contains just enough liquid to fill 30 Magnums.
How many Salmanazars can be filled from this barrel? [2]
How many Salmanazars can be filled from this barrel? [2]
| Scheme | Marks | Comments |
|---|---|---|
| 4, 6 and 16 in this order | B2 | Answers in the table take precedence B1 for any 2 correct entries |
| Scheme | Marks | Comments |
|---|---|---|
| 38 bottles | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 30 × 2 ÷ 12 or 30 × 1.5 ÷ 9 or 30 ÷ 6 or equivalent | M1 | |
| 5 | A1 | Accept an embedded 5 for M1 A1, provided it is not contradicted by their choice of final answer, in which case award M1 A0, e.g. 12 × 5 = 60 salmanazars M1 A0 9 × 5 = 45, 9 salmanazars, M1 A0 9 × 5 = 45, M1 A1 12 × 5 = 60, M1 A1 |