Numeracy Foundation June 2019 Unit 1 Q5
5. Climbers use the rule that the temperature decreases by 6 ˚C for every 1000 m that they climb.
This can be written as a formula:
\[\text{temperature loss} = \frac{6 \times \text{gain in height in metres}}{1000}\]
Mary plans to climb Snowdon in Wales before she climbs Mount Kilimanjaro in Africa.
The table below gives the gain in height when climbing each mountain.
The gain in height is given in metres.
| Mountain | Gain in height |
|---|---|
| Snowdon | 945 metres |
| Mount Kilimanjaro | 4085 metres |
Estimate the temperature loss when Mary climbs each mountain.
You must show all your working. [4]
Estimate of Snowdon temperature loss = …………… ˚C
Estimate of Mount Kilimanjaro temperature loss = …………… ˚C
| Scheme | Marks | Comments |
|---|---|---|
| (Snowdon) 6×1000/1000 or 6×900/1000 or 6×950/1000 or 6×940/1000 or 6×945/1000 | M1 | Working must be seen |
| 6(˚C) or 5.4(˚C) or 5.7(˚C) or 5.64(˚C) or 5.67 (˚C) | A1 | ISW Allow answers to calculations to be written as rounded or truncated values. Errors seen in calculations before rounding or truncating award A0 If M0 A0, award SC1 for unsupported answers in the range 5 to 6 inclusive. |
| (Kilimanjaro) 6×4000/1000 or 6×5000/1000 or 6×4100/1000 or 6×4080/1000 or 6×4090/1000 or 6×4085/1000 | M1 | Working must be seen |
| 24(˚C) or 30(˚C) or 24.6(˚C) or 24.48(˚C) or 24.54(˚C) or 24.51(˚C) | A1 | ISW Allow answers to calculations to be written as rounded or truncated values. Errors seen in calculations before rounding or truncating award A0 If M0 A0, award SC1 for unsupported answers in the range 24 to 25 inclusive. |