Higher November 2020 Paper 2 Q16
16 On a restaurant menu there are
22 main dishes, of which \(\dfrac{4}{11}\) are gluten-free
7 rice dishes, which are all gluten-free
5 naan breads, of which 40% are gluten-free.
This Meal Deal is on the menu.
| Choose one main dish, one rice dish and one naan bread |
How many of the possible Meal Deals are totally gluten-free? [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{4}{11} \times 22\) or 8 or \(\dfrac{40}{100} \times 5\) or 2 or \(22 \times 7 \times 5\) or 770 or \(\dfrac{4}{11} \times \dfrac{40}{100}\) or \(\dfrac{160}{1100}\) or \(\dfrac{8}{55}\) | M1 | oe accept \(\dfrac{8}{22}\) for 8 accept \(\dfrac{2}{5}\) for 2 |
| \(\dfrac{4}{11} \times 22 \times 7 \times \dfrac{40}{100} \times 5\) or \(8 \times 7 \times 2\) | M1dep | oe eg \(\dfrac{4}{11} \times \dfrac{2}{5} \times 770\) or \(\dfrac{8}{55} \times 770\) or \(\dfrac{8}{22} \times \dfrac{7}{7} \times \dfrac{2}{5}\) or \(\dfrac{112}{770}\) |
| 112 | A1 | allow 112 out of 770 |
Additional guidance
| \(\dfrac{112}{770}\) | M1M1A0 |
| \(\dfrac{8}{55}\) from \(\dfrac{112}{770}\) | M1M1A0 |
| \(\dfrac{8}{55}\) from \(\dfrac{4}{11} \times \dfrac{2}{5}\ (\times 1)\) | M1M0A0 |
| Allow [0.36, 0.364] for \(\dfrac{4}{11}\) eg \(0.36 \times 22 = 7.92\) (allow 7 if method seen) \(7.92 \times 7 \times 2\) (or \(7 \times 7 \times 2\)) | M1 M1A0 |