Foundation June 2022 Paper 3 Q13
13 In a fish tank, the fish are either blue or gold or red.
There are 22 red fish.
\(\dfrac{2}{5}\) of the fish are blue.
\(\dfrac{5}{12}\) of the fish are gold.
Work out the total number of fish in the fish tank.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 120 with correct working | 5 | M2 for \(1 - \left(\dfrac{2}{5} + \dfrac{5}{12}\right)\) oe soi \(\dfrac{11}{60}\) or M1 for \(\dfrac{2}{5} + \dfrac{5}{12}\) oe soi \(\dfrac{49}{60}\) AND M2 for \(22 \div\) their \(\dfrac{11}{60}\) oe or M1 their \(\dfrac{11}{60}\) equated to 22 If 0 or M1 scored, instead award SC2 for 120 as final answer with no or insufficient working | Correct working requires evidence of at least M1M1 or M2 Equivalent fraction or [0].183 to [0].184 Equivalent fraction or [0].816 to [0].817 Accept in decimals but their \(\dfrac{11}{60}\) must come from some working May be \(22 \div 11 \times 60\) May be \(22 \div\) their 11 or their \(\dfrac{11}{60} = \dfrac{22}{k}\) |