Constructions and Scale Drawings — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[3](a)A map has a scale of 1:50 000. The distance between two towns on the map is 3.4 cm. Calculate the real distance in km.

Question 2

[2](a)State the three pieces of equipment needed to construct the perpendicular bisector of a line segment accurately.

Question 3

[2](a)A scale drawing uses 1:200. Calculate the map length, in cm, representing a real distance of 8 m.

Question 4

[2](a)State the bearing that is the reverse (opposite direction) of a bearing of 070°.

Question 5

[2](a)Describe how to construct an angle of 60° using only a pair of compasses and a straight edge.

Question 6

[2](a)A ship travels on a bearing of 135° for 40 km. State, in general terms, how you would find its distance east and north of the starting point.

Question 7

[2](a)A map has scale 1:1000. Calculate the real distance, in metres, for a map length of 2.5 cm.

Question 8

[2](a)State the bearing that is the reverse of a bearing of 210°.

Question 9

[1](a)Describe the locus of points equidistant from two fixed points A and B.

Question 10

[1](a)State the equipment needed to bisect a given angle accurately.

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