Higher June 2019 Paper 5 Q8
8 Mrs Mills buys 4 packs of treats for her cats, Fluff and Tigger.
She gives Fluff \(\frac{1}{6}\) of a pack each day.
She gives Tigger \(\frac{1}{5}\) of a pack each day.
For how many complete days will the 4 packs of treats last? [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 10 | 5 | B4 for \(\frac{120}{11}\) oe or for \(\frac{110}{30}\) oe and \(\frac{121}{30}\) oe or B3 for \(\frac{110}{30}\) oe or \(\frac{121}{30}\) oe | For B4 accept 10.9… or 3.66 to 3.67 and 4.03... For B3 accept 3.66 to 3.67 or 4.03... |
| OR B2 for \(\frac{11}{30}\) oe or M1 for \(\frac{1}{6} + \frac{1}{5}\) or for \(\frac{5}{30}\) and \(\frac{6}{30}\) seen | 0.366 to 0.367 or 36.6% to 36.7% For M1 intention to add the fractions eg use of 0.16 to 0.17 + 0.2 oe percentages | ||
| M1 for 4 ÷ their \(\left(\frac{1}{6} + \frac{1}{5}\right)\) oe | e.g. 4 ÷ (0.16 to 0.17 + 0.2) oe NB can score B2 M1 or M1M1 | ||