Foundation June 2018 Paper 2 Q13
13 Tenzin walks in the mountains.
She has a rule to estimate the temperature at different heights on a mountain.
Temperature decreases by 2 °C for every increase of 300 metres in height.
The temperature at a height of 800 metres on a mountain is 6 °C.
(a) Use Tenzin’s rule to work out an estimate of the temperature at a height of 2000 metres on the mountain. (3)
Tenzin also has a rule to estimate the time it will take her to complete a walk in the mountains.
She uses
- an average speed of 5 km/h for the distance she will walk
and then
- adds on 1 minute for every increase of 10 metres in height.
Tenzin plans to walk 12 km in the mountains with an increase of 800 metres in height.
(b) Use Tenzin’s rule to work out an estimate for the time it will take her to complete this walk.
Give your answer in hours and minutes. (3)
Give your answer in hours and minutes. (3)
| Scheme | Marks |
|---|---|
| \(\dfrac{2000 - 800}{300}\) (= 4) or \(\dfrac{2000 - 800}{150}\) (= 8) or −8 seen correctly in working | M1 |
| 6 – “4” × 2 | M1 |
| −2 | A1 |
| (3) |
Notes
M1: Accept 300 + 300 + 300 + 300
or
800, 1100, 1400, 1700, 2000 oe
| Scheme | Marks |
|---|---|
| \(\dfrac{12}{5}\) (= 2.4 hr) or \(\dfrac{12}{5} \times 60\) (= 144 min or 2 hr 24 mins) | M1 |
| \(\dfrac{800}{10}\) (= 80 min) or \(\dfrac{800}{10} \div 60\) (= \(1.\dot{3}\) or 1 hr 20 min) | M1 |
| 3 hr 44 min | A1 |
| (3) | |
| (6 marks) |
Notes
M1: indep