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Numeracy Higher June 2018 Unit 1 Q3

3. Sara is carrying out a survey of the three villages, Cwm, Allthir and Gwyndir.
The diagram below shows the positions of the three villages.

Cwm, Allthir and Gwyndir with north lines; angle 152° at Cwm from north to the line to Allthir; angle 170° at Gwyndir between north and the line to Allthir

Diagram not drawn to scale

(a) What is the bearing of Allthir from Gwyndir?
Circle your answer. [1]

010°    170°    180°    190°    200°

(b) What is the bearing of Cwm from Allthir?
Circle your answer. [1]

028°    152°    242°    332°    352°

(c) The area of the land covered by the three villages is 200 km2.
The total population of the three villages is 8400 people.
(i) What is the population density of the three villages?
Give your answer in population/km2. [2]
(ii) The populations of Cwm, Allthir and Gwyndir are in the ratio 3 : 4 : 5.
Calculate the population of Gwyndir. [2]