Numeracy Intermediate November 2023 Unit 1 Q3
3.
(a) Tomos uses the recipe below to make mushroom risotto.
This recipe serves 4 people.
This recipe serves 4 people.
| Mushroom Risotto serves 4 people |
|---|
| 400 g mushrooms 8 spring onions 25 g butter 200 g rice 1 litre stock 50 g cheese |
(i) How many cm3 of stock would Tomos need to make mushroom risotto for 10 people? [3]
…………… cm3 of stock
(ii) How many kilograms of rice would Tomos need to make mushroom risotto for 48 people? [2]
…………… kg of rice
(iii) Write the ratio of the quantities of butter to rice to cheese in its simplest form. [2]
butter : rice : cheese = …………… : …………… : ……………
(iv) Tomos wants to estimate, in ounces, the mass of the mushrooms he would need to make risotto for 4 people.
He knows that 1 ounce ≈ 28 grams.
Calculate an estimate for the mass of mushrooms, in ounces, that Tomos needs.
You must show all your working. [2]
He knows that 1 ounce ≈ 28 grams.
Calculate an estimate for the mass of mushrooms, in ounces, that Tomos needs.
You must show all your working. [2]
(b) The table below shows the amount of nutrition in one serving of mushroom risotto.
| Nutrition per serving | |||||
|---|---|---|---|---|---|
| Fat | Carbohydrates | Sugars | Fibre | Protein | Salt |
| 15 g | 37 g | 6 g | 5 g | 14 g | 1 g |
(i) A serving of mushroom risotto gives \(\frac{1}{6}\) of the maximum amount of salt recommended per day for anyone aged 11 or older.
What is the maximum amount of salt recommended per day for anyone aged 11 or older?
Circle your answer. [1]
1 g 5 g 6 g 10 g 60 g
(ii) The formula below gives the daily recommended mass of protein.
What percentage of his daily recommended mass of protein is there in one serving of mushroom risotto? [4]
Mass of protein in grams = 0·8 × body mass in kg
Tomos has a body mass of 70 kg.What percentage of his daily recommended mass of protein is there in one serving of mushroom risotto? [4]
| Scheme | Marks | Comments |
|---|---|---|
| (i) (1 × ) \(\frac{10}{4}\) × 1000 or 1000 × 10 ÷ 4 or 1000 × 2.5 or equivalent | M2 | M1 for appropriate sight (that need not be within a product) of any one of the following:
|
| 2500 (cm3) | A1 | CAO. Answer space takes precedence |
| (ii) 2.4 (kg) | B2 | Answer space takes precedence B1 for any one of the following:
|
| (iii) 1 : 8 : 2 | B2 | Answer space takes precedence If units (g) are included then B1 only. B1 for sight of any one of the following (ignoring inclusion of ‘g’):
|
| (iv) Sight of a suitable division, e.g.
| M1 | Allow if written a s a fraction rather than as a division |
| Answer in the range 13 to 16 | A1 | Must be from sight or attempt at a suitable division or unsupported Allow an answer in the range from sight of repeated addition or multiplication (that may include rounding within additions) |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 6 g | B1 | |
| (ii) (Daily recommendation =) 0.8 × 70 | M1 | Allow if embedded in further incorrect working only if this working includes the use of ‘14’ |
| 56 (g) | A1 | Ignore any incorrect unit given, e.g. % or kg |
| 25 (%) | A2 | FT \(\dfrac{14}{\text{‘their } 0.8 \times 70\text{’}}\) for possible A2 or A1 On FT allow rounding or truncation of the final percentage A1 for one of the following:
|