Foundation June 2022 Unit 1 Q10
10. In this question, you will be assessed on the quality of your organisation and communication.
A bucket can hold 4000 ml of water.
A jug can hold 2·5 litres of water.
An empty tank has a capacity of 17 litres.
The tank is filled to the top using a combination of full buckets and full jugs of water.
How many full buckets and full jugs must be used to fill the tank exactly?
You must show all your working. [4 + 1 OC]
Number of full buckets …………………… Number of full jugs ……………………
| Scheme | Marks | Comments |
|---|---|---|
| 4000 ml = 4 litres OR 2·5 litres = 2500 ml OR 17 litres = 17000 ml | B1 | Seen or implied in working |
| A complete and correct strategy that leads to the correct answer, e.g. 3 × 4 + 2 × 2·5 = 17 OR Strategy to test at least two different combinations of jugs and buckets, e.g. 4 + 4 + 2·5 and 4 + 2·5 + 2.5 OR Strategy to test at least two different combinations of tank and jugs (or buckets), e.g. 17 – 2·5 – 2·5 and 17 – 4 – 4 OR At least one of each strategy. | S2 | The numbers of jugs/buckets may be seen or implied e.g. 4 + 4 + 4 + 4 + 2.5 (= 18.5) Allow use of ‘their 2500 ml’ or ‘their 4 litres’ or ‘their 17000 ml’ S1 for one combination of jugs and buckets OR one combination of tank and jugs/buckets OR a multiple of jugs or buckets Each mixed strategy must include at least one of each container. |
| Number of buckets = 3 AND number of jugs = 2 | B1 | CAO Must be from a correct 4 litre or 2500 ml AND 17000 ml. Crossed-out working can be included in consideration of strategies. An unsupported answer of buckets = 3 AND jugs = 2 gains 4 marks |
| Organisation and Communication The steps of the answer must be labelled so that it is clear what the calculations are working out. No final conclusion is necessary as there is an answer space. | OC1 | For OC1, candidates will be expected to:
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Corrected by Westie's Workshop
- The board's mark scheme printed “Each mixed strategy much include at least one of each container”. Changed to “Each mixed strategy must include at least one of each container” because “much” is a slip for “must”.
Original: see the board's mark scheme PDF (link above).