Numeracy Foundation November 2021 Unit 1 Q8
8. Three different stores sell bananas.
| Store | Price of bananas |
|---|---|
| FruitCo | 12 bananas for £1 |
| Quick Fruit | 4p per 50 g |
| Bach Market | 85 pence per kg |
You can assume that the mass of a banana in each of the stores is 100 g.
Sid needs to buy 24 bananas.
Calculate how much Sid would pay in each of the stores.
In which store will he be able to get 24 bananas for the least amount of money?
You must show all your working. [7]
| Scheme | Marks | Comments |
|---|---|---|
| If an evaluation is given with incorrect units, award B0 or A0 on the first occasion then FT | ||
| (FruitCo cost of 24 bananas) (£)2 or 200(p) | B1 | CAO |
| (Mass of 24 bananas) 2400 (g) or 2.4 (kg) OR Appropriate use of 1 kg = 1000 g | B1 | May be implied in further working Appropriate use of 1 kg = 1000 g can be checked by correct place value for Bach Market (e.g. 8.5p per banana) FT ‘their 2400g’ or ‘their 2.4kg’ for M and A marks provided mass of bananas not used as number of bananas, i.e. by the inappropriate use of 24 |
| (Quick Fruit cost of 24 bananas) 4 × 2400 ÷ 50 OR 4 × 24 × 100 ÷ 50 OR 8(p) × 24 OR equivalent | M1 | |
| 192(p) or (£)1.92 | A1 | Accept full partition methods Award of this mark does not automatically imply the award of the second B mark |
| (Bach Market cost of 24 bananas) 85×2.4 OR 85 × 24 × 100 ÷ 1000 OR 24×8.5 OR equivalent | M1 | Do not FT for 85 × 24 alone, this is M0 Accept full partition methods |
| 204(p) or (£)2.04 | A1 | Award of this mark implies the second B1 mark also |
| Conclusion ‘Quick Fruit’ | B1 | FT provided at least 2 marks previously awarded and all 3 costs have been considered |