Numeracy Foundation November 2019 Unit 1 Q3
3. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Cai wants to buy a new computer.
The total cost of the computer is £400.
Cai’s parents give him 15% of the cost of the computer.
Cai’s grandparents give him \(\dfrac{2}{5}\) of the cost of the computer.
Cai saves £30 each month.
How many months will it take Cai to save enough money to buy the computer? [8 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (parents give) 15/100 × 400 or equivalent (£)60 | M1 A1 | May be seen in stages This may be implied in further working (eg 400 – 40 – 20 – 160) |
| (grandparents give) 2 × 400 ÷ 5 or equivalent (£)160 | M1 A1 | May be seen in stages If M0 A0 award for this calculation, award SC1 for correctly evaluating 2/5 × (400 – ‘their 60) eg 2/5 × 340 = 136 |
| (Need to save) 400 – 60 - 160 or 400 – (60 + 160) = (£)180 | M1 A1 | FT ‘their derived 60’ AND ‘their derived 160’. This may be implied by adding on £30s to their derived £220 (60 + 160) up to £400. |
| (Number of months) (£)180 ÷ 30 6 (months) | M1 A1 | FT ‘their derived 180’ On FT, if number of months is not a whole number answer must be rounded up For method of adding on £30s to ‘their £220’ up to £400, for the last 4 marks award M1 A1 (with not more than one error) and then M1 A1 (for 6 months with no errors in working). FT applies. However, for the final M1 A1 ‘their £220’ must be below £370 for level of difficulty. |
| Organisation and communication | OC1 | For OC1, candidates will be expected to:
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| Writing | W1 | For W1, candidates will be expected to:
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