Higher November 2019 Paper 2 Q7
7.
(a)
| Recipe for scones |
|---|
| Ratio of ingredients flour : butter : sugar 70 : 17 : 10 |
Nadeen has 102 g of butter and plenty of flour and sugar.
Nadeen uses all this butter to make scones.
Calculate the quantity of flour and sugar Nadeen needs. [3]
(b)
| Nutrition per scone | ||||
|---|---|---|---|---|
| kcal | fat | carbohydrates | fibre | protein |
| 268 | 10 g | 41 g | 1 g | 6 g |
Nadeen has been recommended to eat 2200 kcal per day.
She eats two scones for lunch.
Her breakfast was 390 kcals.
What percentage of the recommended daily kcals does Nadeen have left for meals later in the day?
Give your answer correct to the nearest 0.01%. [4]
(c) Nadeen used a cutter to make her scones.
The cutter has a circular cross-section, with a diameter of 5 cm.
The depth of the scone mixture cut was 0·8 cm.
The cutter has a circular cross-section, with a diameter of 5 cm.
The depth of the scone mixture cut was 0·8 cm.
(i) Calculate the area of the top face of a scone. [3]
(ii) Calculate the total surface area of a scone.
State any assumption you make.
State any assumption you make.
Assumption: [5]
| Scheme | Marks | Comments |
|---|---|---|
| Flour \(70 \times 102 \div 17\) OR Sugar \(10 \times 102 \div 17\) | M1 | |
| Flour 420 (g) | A1 | |
| Sugar 60 (g) | A1 | If answer reversed, allow A1 only |
| Scheme | Marks | Comments |
|---|---|---|
| \(2200 - 390 - 2 \times 268\ (= 1274)\) | B1 | |
| \(\dfrac{1274}{2200}\ (\times 100)\) or equivalent | M1 | FT ‘their 2200 – 390 – 2 × 268’ |
| 57.91(%) | A2 | CAO. A1 for 57.9(090...%) or 58(%) If no marks, award SC2 for an answer of 42.09(%) |
| Scheme | Marks | Comments |
|---|---|---|
| (i) Use of radius 2.5 | B1 | |
| (Area) \(\pi \times 2.5^2\) | M1 | FT ‘their radius’ including use of 5 (cm) for M1 only |
| 19.6(....cm²) or \(25\pi/4\) | A1 | Mark final answer Accept 20 (cm²) from correct working |
| (ii) Assumption: Cylinder | E1 | Accept, e.g. ‘uniform depth’, ‘uncooked’, ‘currants not sticking out’ Allow, e.g. ‘all scones have diameter 5cm and depth 0.8cm’ |
| (Curved surface) \(\pi \times 5\) or equivalent | M1 | FT ‘their assumption regarding depth’ |
| \(\times 0.8\) | M1 | FT from use of \(\pi d\) with \(d \ne 5\) |
| \(+\ 2 \times 19.6(\ldots)\) | m1 | FT 2 × ‘their (c)(i)’ provided at least M1 previously awarded |
| 51.7(6) (cm²) to 52 (cm²) or \(33\pi/2\) (cm²) | A1 | FT from (c)(i) and ‘their depth assumption’, otherwise CAO |
| (15) |
Corrected by Westie's Workshop
- The board's mark scheme printed “at lease”. Changed to “at least” because “lease” is a spelling slip for “least”.
Original: see the board's mark scheme PDF (link above).