Numeracy Higher November 2018 Unit 1 Q5

Draw a sketch of the plan view of the mountain hut. [1]

This mountain hut is shown on a map.
The scale of the map is 1 : 50 000.
On the map the mountain hut is 4·2 cm from a farmhouse.
How far away is the hut from the farmhouse?
Give your answer in km. [3]

Distance is …………… km

The map below shows the placement of four wind turbines, and a road connecting two of the turbines.

A new wind turbine, Efail, is to be built.
It is to be placed

• on the road connecting Bryn turbine and Cwm turbine, and
• on the perpendicular from Aber turbine to the road.

The map is drawn using a scale of 2 cm represents 1 km.

How far will Efail turbine be from Dŵr turbine?
You must use constructions to answer this question, using only a pair of compasses and a ruler. [4]

Scale 2 cm represents 1 km

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.

Distance is …………… km