Higher November 2022 Paper 5 Q4
4 Layla and Jamal open a box of sweets.
Layla and Jamal share all of the sweets in the ratio 2 : 3.
(a) Write down the fraction of the sweets that Layla receives. [1]
(b) Layla eats some of her sweets.
She is then left with 18% of the sweets that were in the box.
She is then left with 18% of the sweets that were in the box.
Work out the percentage of her sweets that Layla has eaten. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{2}{5}\) | 1 | Accept any equivalent fraction | isw attempts to simplify to a fraction |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 55[%] | 4 | M3 for 1 − \(\left(\frac{18}{100} \div their\ \frac{2}{5}\right)\) oe or for \(\frac{their\ 40 - 18}{their\ 40}\) oe or M2 for \(\frac{18}{100} \div their\ \frac{2}{5}\) oe or for their 40 – 18 oe or M1 conversion of values to a common form e.g their 40% or \(\frac{18}{100}\) or \(\frac{82}{100}\) seen or their 0.4 and 0.18 or their 0.4 and 0.82 seen OR Alternative method using a value for the number of sweets eg if using 50 sweets … M3 for fraction of Layla’s share \(\frac{20 - 9}{20}\) or M2 for Layla eats 20 – 9 or M1 for Layla receives 20 or is left with 9 | M3 implied by 0.55 oe their 40 is their (a) converted to %, accept both 40 and 18 as decimals for M3 or M2 Accept FT conversion to 2 figs rot M2 implied by 0.45 oe, 45[%] or 22[%] M3 for any fraction leading to 0.55 M2 for 40%FT for their (a) of their sweets – 18% of their sweets M1 for 40%FT for their (a) of their sweets or 18% of their sweets |