Higher November 2021 Paper 2 Q16
16. Tom rides his motorbike for 187·5 miles, correct to the nearest \(\frac{1}{2}\) mile.
On this journey his motorbike uses 4·8 litres of fuel, correct to the nearest 0·4 litre.
The fuel economy of Tom’s motorbike is \(k\) kilometres per litre.
What is the smallest possible value of \(k\)?
Use 1 mile = 1·6 km [5]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{\text{smallest miles}}{\text{greatest litres}}\) oe | S1 | Allow \(187 \leqslant d \lt 187.5\) and \(4.8 \lt l \leqslant 5.2\) |
| 187.25 ÷ 5 ( = 37.45) | M2 | M1 for one value correct in a division |
| Correct unit conversion | B1 | At some stage; e.g. 299.6 ÷ 5 implies S1 M2 B1 |
| 59.92 (km/l) | A1 | CAO; allow an answer of 60 from correct working only. If many attempts are offered without a method or answer being identified, then mark final attempt |
| (5) |