Higher June 2022 Paper 4 Q13
13 Here is a restaurant’s menu.
| Starter | Main | Dessert |
|---|---|---|
| Prawn Cocktail | Hunter’s Chicken | Trifle |
| Duck Spring Rolls | Beef Curry | Ice Cream |
| Lamb Meatballs | Steak | Cheesecake |
| Leaf Salad (V) | Fish Pie | Chocolate Cake |
| Mushroom Soup (V) | Lasagne | Bakewell Tart |
| Egg Salad (V) | Fruit Salad (V) | |
| Vegetable Hot Pot (V) | Cherry Pie (V) | |
| Macaroni Cheese (V) |
(V) denotes vegetarian
(a) A 3-course meal consists of one starter, one main and one dessert.
Work out how many different 3-course meals can be chosen from the menu. [2]
Work out how many different 3-course meals can be chosen from the menu. [2]
(b) Find the fraction of the 3-course meals which are completely vegetarian (V). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 280 | 2 | M1 for 5 × 8 × 7 or 5 × 56 or 40 × 7 or 35 × 8 If 0 scored SC1 for 6 × 8 × 7 | Condone for M1 e.g. \(\frac{12}{280}\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{12}{280}\) oe | 2 | M1 for 2 × 3 × 2 or 12 or \(\frac{2}{5} \times \frac{3}{8} \times \frac{2}{7}\) FT 280 from their answer to (a) for 2 marks i.e \(\frac{12}{\textit{their } 280}\) If 0 scored SC2 for \(\frac{18}{336}\) | Equivs. include \(\frac{6}{140}\), \(\frac{3}{70}\), 0.043, 0.0429, 0.04286 and 0.04285… and allow percentages with sign e.g 4.3%, isw changing form after correct answer seen |