Numeracy Higher June 2017 Unit 2 Q3
3. Organics4U is planning to have its headquarters in Wales.
The manager has instructed Ffion to look for a site for the headquarters.
Here are the instructions that Ffion has been given by her manager.
‘Find the point that is
- an equal distance between Wrexham and Aberporth, and
- an equal distance between Caernarfon and Swansea.
On the map below, shade the region, in Wales, that Ffion should identify for her manager. [4]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
| Scheme | Marks | Comments |
|---|---|---|
| Perpendicular bisector drawn: Wrexham and Aberporth Caernarfon and Swansea | B1 B1 | Tolerance ±2mm and ±2° Tolerance ±2mm and ±2° |
| Circle with radius 2cm ±2mm (20 miles) centred at the intersection of the perpendicular bisectors | B1 | Independent mark FT from the intersection of ‘their 2 straight lines’, i.e. following previous B0 B0 |
| Correct region in Wales identified, from arc radius equivalent to 2cm ±2mm (20 miles) | B1 | Independent mark FT provided 'their region' (arc of a circle) spans Wales and England to give a similar region which excludes England The region should not include England, shading or indicating the full circle is B0 (Common incorrect response: A circle of the correct radius drawn with the centre at the intersection of straight lines joining Wrexham with Aberporth and Caernarfon with Swansea is awarded B0 B0 B1 B0) |