Numeracy Foundation November 2016 Unit 1 Q6
6.
| Small bottle 300 ml for 66p | Medium bottle 400 ml for 92p | Large bottle 500 ml for £1.25 |
(a) Roland is going to buy some orange juice for a party.
Which size bottle of orange juice offers the best value for money?
You must show your working. [3]
Which size bottle of orange juice offers the best value for money?
You must show your working. [3]
(b) Galina needs to buy exactly 800 ml of orange juice.
Which is the best option for Galina?
You must show your working and consider all options.
You must give a reason for your choice. [3]
Which is the best option for Galina?
You must show your working and consider all options.
You must give a reason for your choice. [3]
| Scheme | Marks | Comments | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Method of comparison, e.g. per 100 ml or for 6000 ml, or divide the cost of 300 ml by 3 and multiply by 4 or 5, or similar | M1 | Needs to show attempt to compare at least 2 of the 3 | ||||||||||||
| Correctly evaluated comparison for 2 of the 3 sizes | A1 | Ignore incorrect units
| ||||||||||||
| Correctly evaluated comparison for all sizes, may be different methods for different stages, AND conclusion ‘300 ml (small) bottle is best value for money’ | A1 | Consistent units that are not obviously incorrect are required, or allow no units given Comparison of small with large then medium with large is not a full comparison of all 3 Examples: Comparing small and medium at 1200 ml and then small and large at 1500 ml, possible M1, A1, A1 Insufficient, 100 ml is 22p, so 500 ml is £1.10 (ignoring medium size bottle) so the small one is cheaper, possible M1 A1 A0, or sight of 2 small bottles is only 7p more than the big bottle for an extra 100 ml is likely to be M0 A0 A0 |
| Scheme | Marks | Comments |
|---|---|---|
| 2 (medium) bottles of 400 ml for (£)1.84 or 184(p) | B1 | Penalise incorrect units -1 only once Allow £1.84p |
| 300ml (small) bottle and 500ml (large) bottle for (£)1.91 or 191(p) | B1 | Allow £1.91p |
| Two 400ml (medium) bottles AND states 'cheaper' | B1 | Depends on at least B1 previously awarded and both of these options have been considered Example: Costs per 100ml (22p, 23p & 25p) are used leading to comparison of 800ml as 176p, 184p and 200p or equivalent, with smallest selected as the best option, is B1, B0, B0 |