Numeracy Intermediate November 2024 Unit 1 Q2
2. Maria makes and sells individual portions of salad.
(a) The tomatoes Maria needs to make 5 portions of salad cost her £1.75.
Calculate the cost of the tomatoes she needs to make 40 portions of this salad. [3]
Calculate the cost of the tomatoes she needs to make 40 portions of this salad. [3]
(b) Maria makes a salad dressing from oil and vinegar.
She uses oil and vinegar in the ratio 3 : 1.
Maria makes 280 ml of salad dressing.
Calculate the quantity of oil and the quantity of vinegar in the salad dressing. [3]
She uses oil and vinegar in the ratio 3 : 1.
Maria makes 280 ml of salad dressing.
Calculate the quantity of oil and the quantity of vinegar in the salad dressing. [3]
Oil …………… ml
Vinegar …………… ml
(c)
It costs Maria £24 to make 40 portions of salad.
She sells all these portions of salad for 90p each.
Calculate the percentage profit that Maria makes. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 40 × 1(.)75 ÷ 5 or 1(.)75 × 8 or equivalent | M2 | May be shown in stages M1 for any of the following:
|
| (£)14 or 1400(p) | A1 | If units are given they must be correct |
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 280 ÷ 4 or 3 × 280 ÷ 4 | M1 | |
| Oil 210 (ml) | A1 | Answer space takes precedence |
| Vinegar 70 (ml) | A1 | Answer space takes precedence If M1 awarded but 210 (ml) and 70 (ml) are reversed, allow A0 A1 If M1 awarded with A0, A0 due to incorrect evaluation of 280 ÷ 4 then also award SC1 if
|
| Scheme | Marks | Comments |
|---|---|---|
| (Sells for a total of) 40 × (0.)90 OR (cost for 1 portion) 2400 ÷ 40 or 24 ÷ 40 | M1 | |
| (Sells for a total of 40 × (0.)90) (£)36 or 3600(p) OR (cost for 1 portion 24 ÷ 40) 60 (p) or (£)0.60 | A1 | If units are given they must be correct |
| (% profit) \(\dfrac{36-24}{24}\) (×100) or \(\dfrac{(0.)90-(0.)60}{(0.)60}\) (×100) or \(\dfrac{36}{24}\) (×100) – 1 (×100) or \(\dfrac{(0.)90}{(0.)60}\) – 1 (×100) or equivalent | m1 | Must be consistent place value, i.e. use of £ or p FT correct use of ‘their 40 × (0.)90’ or ‘their 24 ÷ 40’ |
| 50 (%) | A1 | Accept a correct answer provided not from incorrect working, may be from reverse calculations or unsupported |