Foundation June 2017 Paper 2 Q7
7 There are 20 coins in a pot.
The coins are 1p, 2p, 5p and 10p.
A coin is taken at random from the pot.
- The probability that it is a 1p coin is \(\dfrac{3}{10}\).
- The probability that it is a 2p coin is \(\dfrac{2}{5}\).
This coin is put back.
The total value of the coins in the pot is 57 pence.
Work out how many of each type of coin there are in the pot. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [1p] 6 | 1 | ||
| [2p] 8 | 1 | ||
| [5p] 5 and [10p] 1 | 2 | M1 for 5p and 10p coins total value being 35p soi or 57 – their 6 \(\times\) 1 – their 8 \(\times\) 2 Or Following 0 marks SC1 for a total of 20 coins or a total of 57p | eg M1 implied by [5p] 1 and [10p] 3 from values given in the answer spaces |
Notes
The sentence “This coin is put back.” was added to the question by an erratum notice read out in the exam.