Foundation June 2025 Paper 2 Q14
14
(a) Sundip has some £5, £10, £20 and £50 bank notes.
She buys 30 litres of fuel for her car.
One litre of fuel costs £1.50.
She buys 30 litres of fuel for her car.
One litre of fuel costs £1.50.
Sundip pays the exact amount of money for the fuel using three bank notes.
Work out the three bank notes that she uses to pay for the fuel. [3]
(b) On one journey, Sundip’s car uses fuel at a rate of one litre every 16 kilometres.
At the start of the journey, her car has 50 litres of fuel.
At the end of the journey, her car has used \(\dfrac{7}{10}\) of this fuel.
Use the conversion 5 miles = 8 kilometres to work out the number of miles Sundip travels on this journey.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 20, 20 and 5 nfww | 3 | B2 for [£]45 or M1 for \(30 \times 1.5[0]\) | Accept answers in any order |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 350 with correct working | 5 | Correct working requires evidence of M4 or M2A1 Need to see supporting M marks to award A marks, otherwise SC applies All M marks may be seen performed in steps | |
| M4 for \(16 \times 50 \times \dfrac{7}{10} \times \dfrac{5}{8}\) oe or \(35 \times 10\) after M1 awarded | Allow M4 for \(\dfrac{7}{10} \times 50 \times 10\) | ||
| or M2 for \(16 \times 50 \times \dfrac{7}{10}\) oe or \(16 \times 50 \times \dfrac{5}{8}\) oe or \(16 \times 50 \times \dfrac{3}{10} \times \dfrac{5}{8}\) oe A1 for 560 or 500 or 150 | Allow M2 for \(16 \times 35\) Allow M2 for \(10 \times 50\) Allow M2 for \(10 \times 15\) | ||
| or M1 for \(16 \times 50\) or \(16 \times \dfrac{5}{8}\) oe or \(50 \times \dfrac{7}{10}\) oe A1 for 800 or 10 or 35 | 1 litre = 10 miles implies M1 A1 \(\dfrac{7}{10}\) oe of 50 = 35 or \(\dfrac{5}{8}\) of 16 = 10 implies M1 A1 \(\dfrac{7}{10} = \dfrac{35}{50}\) implies M1 but 35 must be stated or used for A1 \(\dfrac{7}{10}\) of 50 or \(\dfrac{5}{8}\) of 16 alone is M0 | ||
| If 0, 1 or 2 scored instead award SC3 for answer 350 with no or insufficient working If 0 or 1 scored instead award SC2 for 560 or 500 or answer of 150 with no or insufficient working If 0 scored instead award SC1 for 800 or 10 or 35 with no or insufficient working | |||