Numeracy Foundation November 2020 Unit 1 Q7
7.
(a)
Suzy buys a Jack Russell dog.
The dog costs her £450.
Pet insurance costs £18 per month.
Food for a Jack Russell costs £7 per week.
Calculate the total cost of buying, insuring and feeding Suzy’s dog for the first year.
You must show all your working. [4]
(b)
Remember:
1 inch ≈ 2·5 cm
1 inch ≈ 2·5 cm
The height of a fully-grown Jack Russell dog is between 25 cm and 30 cm.
A fully-grown Jack Russell dog has a mass of between 6 kg and 8 kg.
Complete each of the following statements.
(i) ‘The height of a fully-grown Jack Russell dog is between
…………………… inches and …………………… inches.’ [3]
…………………… inches and …………………… inches.’ [3]
(ii) ‘A fully-grown Jack Russell dog has a mass of between
…………………… pounds and …………………… pounds.’ [3]
…………………… pounds and …………………… pounds.’ [3]
| Scheme | Marks | Comments |
|---|---|---|
| (Total of first year cost is purchase + insurance + food) 450 + 12 × 18 + 7 × 52 ( 450 + 216 + 364 ) | M2 | Allow food cost of 365 or 366 (from £1 per day) M1 for any one of:
|
| (£) 1030 | A2 | Use of 365 days leads to (450 + 216 + 365 = £)1031 Use of 366 days leads to (450 + 216 + 366 = £)1032 A1 for sight of 450 + 216 + 364 or sum using 365 or 366 days FT from M1 for possible A2 (summing all 3 costs) with use of food costs for 48 to 51 weeks inclusive:
A1 for sight of the sum of 3 appropriate amounts (as given above), with products correctly evaluated OR FT from M2 or M1 for A1 for their final answer from a correctly evaluated sum in which at least 2 of the 3 amounts are correct. Strict FT for adding their 3 amounts correctly or if they only have 2 amounts, adding their 2 amounts correctly |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 25 ÷ 2.5 or 30 ÷ 2.5 OR for sight of 2.5 × 10 or 2.5 × 12 | M1 | Allow for sight of repeated addition, 10 or 12 lots of 2.5 to be added Either of the correct responses implies M1 |
| 10 (inches) 12 (inches) | A1 A1 | If M1, A0, A0 also award SC1 if ‘their 12’ - ‘their 10’ = 2 Answer line takes precedence. An answer needs to be selected for A marks to be awarded, however if M1, A0, A0 awarded, also award SC1 for sight of 2.5 × 10 = 25 and 2.5 × 12 = 30 |
| (ii) 6 × 2.2 or 8 × 2.2 | M1 | Either of the correct responses implies M1 |
| 13.2 (pounds) 17.6 (pounds) | A1 A1 | If M1, A0, A0 also award SC1 if ‘their 17.6’ - ‘their 13.2’ = 4.4 Answer line takes precedence. |