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Numeracy Intermediate June 2018 Unit 1 Q10

WJECIntermediateCurrent spec6 marksCompound MeasuresConstructionsRatio & Basic Proportion

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

Bearings diagram: North lines at Cwm, Allthir and Gwyndir; at Cwm the angle from North clockwise to the line to Allthir is 152°; at Gwyndir the angle from North anticlockwise to the line to Allthir is 170°

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]
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