Foundation June 2018 Paper 2 Q11
11
(a) Liu has a bag only containing red grapes and green grapes.
\(\dfrac{4}{9}\) of the grapes are red.
If there are 8 red grapes in the bag, how many grapes are green? [3]
(b) Sophia has a different bag only containing red grapes and green grapes.
The number of grapes in her bag is different, but \(\dfrac{4}{9}\) of the grapes are also red.
She picks out a red grape from her bag and eats it.
\(\dfrac{3}{7}\) of the remaining grapes in her bag are red.
How many of the remaining grapes in her bag are red and how many are green? [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 10 | 3 | M2 for \(\dfrac{10}{18}\) [green] or 8 : 10 soi or 8 ÷ 4 x 5 oe Or M1 for \(\dfrac{8}{18}\) [red] or 4 : 5 soi or 8 ÷ 4 oe Or B1 for \(\dfrac{5}{9}\) seen | Eg \(\dfrac{5}{9}\) = 2 x 5 [green grapes] Eg \(\dfrac{1}{9}\) = 2 [green grapes] |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| red 15 green 20 | 2 | M1 for fraction equivalent to \(\dfrac{4}{9}\) or \(\dfrac{3}{7}\) seen or B1 \(3k\) red grapes and \(4k\) green grapes, \(k\) a positive integer > 1 seen in working or as final answer If 0 scored, SC1 for red 16 green 20 or red 20 green 15 | |