Numeracy Intermediate November 2022 Unit 1 Q3
3.
(a) Martina is going to buy some milk to make pancakes.
Which size carton of milk offers the best value for money?
You must show all your working. [3]
| Small | Medium | Large |
|---|---|---|
| 500 ml for 40p | 1200 ml for £1.20 | 2000 ml for £2.50 |
You must show all your working. [3]
(b) Martina’s pancake recipe is as follows.
Calculate the quantity of milk needed to make 30 pancakes. [2]
Pancake recipe – Makes 12 pancakes 100 g flour 2 eggs 300 ml milk |
Milk: …………… ml
| Scheme | Marks | Comments |
|---|---|---|
Compare small with large using same volume, e.g.
Compare medium with large using volume and cost, e.g.
| B1 | Accept for ‘their 4’ from 2000 ÷ 500 Ignore incorrect units given (see table 1 below) |
Compare the small with the medium using cost, e.g.
| B1 | Accept for ‘their 3’ from 1200 ÷ 400 Ignore incorrect units given (see table 2 below) |
| Conclusion ‘small’ based on accurate calculations from full comparison | B1 | Only FT from B1, B1 Must have consistent correct units or allow no units given |
Table 1 (first B1)
| 4 small | vol | 4 × 500 | 2000ml |
| 4 small | cost | 4 × (0.)40 | £1.6(0) or 160p |
| 500ml large | cost | 2(.)50 ÷ 4 | £0.625 or 62.5p |
| 2400ml medium | cost | 2 × 1(.)20 | £2.40 or 240p |
| 1000ml large | cost | 2(.)50 ÷ 2 | £1.25 or 125p |
Table 2 (second B1)
| £1.20 in small | vol | 3 × 500 | 1500 ml |
| 3 small | cost | 3 × (0.)40 | £1.20 or 120p |
| 1/3 medium | vol | 1200 ÷ 3 | 400 ml |
| 400 ml medium | cost | 1(.)20 ÷ 3 | £0.4(0) or 40p |
These tables are printed in the Comments column in the original.
3(a) Alternative method 1
| Scheme | Marks | Comments |
|---|---|---|
| Method of comparing all 3 cartons, e.g. ml per 10p or p per 100ml or £ per 6000 ml | M2 | Ignore incorrect units given M1 for attempt to compare at least 2 of the 3 cartons (see table below) |
| Conclusion ‘small’ based on accurate calculations from full comparison | A1 | Only FT from M2 Must have consistent correct units or allow no units given From division calculations, allow rounding and truncation provided it does not impact on being able to compare |
| Small | Medium | Large | |
|---|---|---|---|
| ml for 10p | 500 ÷ 4 = 125 | 1200 ÷ 12 = 100 | 2000 ÷ 25 = 80 |
| p per 100 ml | 40 ÷ 5 = 8 | 1(.)20 ÷ 12 = 10 | 2(.)50 ÷ 20 = 12.5 Allow 12 or 13 |
| £ per 6000ml | 12 × 0(.)40 = 4.80 | 5 × 1(.)20 = 6 | 3 × 2(.)50 = 7.50 |
The alternative method is printed in italics in the original.
| Scheme | Marks | Comments |
|---|---|---|
| 300 × 30 ÷ 12 or 300 × 2.5 or 30 × 25 or 2 × 300 + ¼ (2 × 300) or 600 + 150 or equivalent | M1 | May be seen in stages |
| 750(ml) | A1 | CAO |