Home / iGCSE Mathematics (0580) :E4.3 Read and make scale drawings.iGCSE Style Questions Paper 2

iGCSE Mathematics (0580) :E4.3 Read and make scale drawings.iGCSE Style Questions Paper 2

IGCSE Mathematics(0580) Practice Questions Paper 2 - All Chapters
Question

The scale drawing shows the positions of two towns, P and Q.

The scale is 1 cm represents 4 km.

(a) Find the actual distance between town P and town Q.

(b) Measure the bearing of town Q from town P.

(c) Town X is 28 km from town P on a bearing of 140°.
On the scale drawing, mark the position of town X.

▶️ Answer/Explanation
Solution

(a) 32.8 km

Measure distance PQ on the diagram (about 8.2 cm) and multiply by 4.

(b) 065°

Measure the angle clockwise from north at P to the line PQ.

(c) Mark X 7 cm from P at 140°

28 km ÷ 4 = 7 cm. Draw a line from P at 140° and mark X 7 cm away.

Question

A field, ABC, is in the shape of a triangle.
AC = 500m and BC = 650m.
Using a ruler and compasses only, complete the scale drawing of the field ABC.
Leave in your construction arcs. Use a scale of 1 cm to represent 100m.

The side AB has been drawn for you.

Triangle ABC construction
▶️ Answer/Explanation
Answer: Correct triangle constructed with AC = 5 cm and BC = 6.5 cm and intersecting arcs
1) Use compass to draw arc of 5cm radius from A. 2) Draw arc of 6.5cm radius from B. 3) Intersection point is C. 4) Connect points to complete triangle ABC.
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