Higher November 2020 Paper 5 Q5
5 Charlie and Jasmine share cartons of apple juice.
Charlie drinks \(\frac{1}{3}\) of a carton every day.
Jasmine drinks \(\frac{2}{5}\) of a carton every day.
Any apple juice left in a carton at the end of the day is used the following day.
The cost of a carton is 70p.
Charlie and Jasmine buy just enough cartons to last them for 10 days.
How much do they spend in total for these cartons?
Give your answer in £.
Show your working. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 5.6[0] with correct working | 6 | M2 for \(\left(\frac{1}{3} + \frac{2}{5}\right) \times 10\) oe or M1 for \(\frac{1}{3} \times 10\) or \(\frac{2}{5} \times 10\) A1 for \(\frac{110}{15}\) oe or M1 for \(\frac{1}{3} + \frac{2}{5}\) oe A1 for \(\frac{11}{15}\) oe AND M1dep for their improper fraction/decimal/mixed number rounded up to next integer M1 for their integer multiplied by 70 or 0.7 If 0 scored, SC1 for answer 5.6[0] or 5.6 | “Correct working” requires full evidence of M1A1 AND M1 or convincing pictoral/alternate convincing approach For method accept equivalent decimals or percentages (to 2 sf) M2 could be split into \(\frac{1}{3} \times 10 + \frac{2}{5} \times 10\) The method may be shown pictorally For A1 eg 7⅓ , accept 4 + 3⅓ oe , 733[..]% A1 implies M2 The method may be shown pictorally Implies M1 Dep on their improper fraction ≠ integer Must show a more accurate value first, could be in two parts eg 4 + 3⅓ then 8 This may be earned by those with wrong working then doing eg 8 x 0.7. Must see a calculation implying an integer × 70 or 0.7, could be in several parts |