(a) Draw a sketch of the plan view of the mountain hut. [1]
(b) 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
(c) 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
Mark scheme (a)
Scheme
Marks
Comments
in any orientation
B1
Allow intention of straight lines and right angles Do not accept if clearly two parallelograms attached rather than rectangles If the roof is split into two rectangles, they must meet along one side and intention must be to draw two identical rectangles (or squares)
Mark scheme (b)
Scheme
Marks
Comments
Sight of any of the following:
4.2 × 50000(cm)
210 000
4.2 × 500 (m)
1 cm = 0.5 km
2cm = 1 km
an answer to a product involving 4.2× ... with leading digits ‘21’
B1
Ignore inclusion of incorrect units, allow intention of × 4.2 by 50000 given, i.e. allow if leading digits ‘21’ seen
210 000 (cm) ÷ 100 ÷ 1000 or 4.2 × 0.5 or equivalent calculation that would lead to a correct answer (2.1km)
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