Foundation June 2018 Paper 1 Q11
11. A mathematics teacher sets a puzzle for her class.
She says:
‘In my purse I have \(2^3\) coins.
The value of the coins in my purse is £\((3^2 + 1^3)\).
The coin with the greatest value is worth 4 times the coin with the smallest value.
What coins could I have in my purse?’
Solve the teacher’s puzzle. [4]
| Scheme | Marks | Comments | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Check teacher’s comment for values. | ||||||||||||||||||
| Sight of 8 (coins in the purse) | B1 | |||||||||||||||||
| Sight of (value of coins is) (£)10 | B1 | |||||||||||||||||
| Sight of (greatest and least values are) £2 and 50p | B1 | Not just for these in a list of coins, they must be identified in some way as the 2 coins that are ‘one 4 times the other’ e.g. they may be the only coins stated or they may be circled in a list etc | ||||||||||||||||
Correct solution:
| B1 | CAO | ||||||||||||||||
| (4) |