Numeracy Foundation November 2021 Unit 1 Q9
9. Use this section of a map of Wales to answer this question.
The map is drawn to scale.
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
(a)
Complete each of the following statements.
(i) ‘The bearing of Llanbister from Rhayader is ……………………°. ‘ [1]
(ii) ‘The bearing of Bleddfa from Llanbister is ……………………°.’ [1]
(b)
Cwmbelan is 2 miles from Llanidloes.
Sioned travelled from Rhayader to Crossgates in 30 minutes.
Calculate her approximate average speed.
Give your answer in miles per hour (mph).
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| (i) 068(°) ± 2 (°) | B1 | |
| (ii) 117(°) ± 2 (°) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Distance in the range 8 (miles) to 12 (miles) | B1 | |
| Average speed = \(\dfrac{8\text{ to }12}{0.5}\) or \(\dfrac{8\text{ to }12}{\tfrac{1}{2}}\) or 2 ×(8 to 12) | M2 | For M2 or M1, FT ‘their distance’ provided it is in the range 7 to 13 miles M1 for \(\dfrac{8\text{ to }12}{30}\) |
| Average speed in the range 16 (mph) to 24 (mph) | A1 | Correct for ‘their distance’ Do not accept an unsupported answer in this range FT from M2 only If no marks, award SC1 for any of the following:
|