Home / iGCSE Mathematics (0580) : C4.2 Measure and draw lines and angles. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C4.2 Measure and draw lines and angles. iGCSE Style Questions Paper 1

Question

AB is the diameter of a circle.
C is a point on AB such that AC = 4cm.
(a) Using a straight edge and compasses only, construct
(i) the locus of points which are equidistant from A and from B,

(ii) the locus of points which are 4 cm from C.

(b) Shade the region in the diagram which is
• nearer to B than to A
and
• less than 4 cm from C.

Answer/Explanation

(a)

(b)

 

Question

(a) Using a straight edge and compasses only, construct the perpendicular bisector of AB.
Show all your construction arcs.

(b) Draw the locus of points that are 4 cm from A.

(c) Shade the region which is less than 4 cm from A and nearer to B than to A.

Answer/Explanation

(a)Perpendicular bisector drawn with 2 pairs of arcs and ruled

(b) Circle drawn radius 4cm 

(c)Correct region shaded 

Question

Triangle ABC has sides AB = 40m, BC = 25m and AC = 35m.
Using a scale of 1 cm to represent 5m, construct triangle ABC.
The construction must be completed using a ruler and compasses only.
All construction arcs must be clearly shown.

Answer/Explanation

Ans: Triangle drawn correctly with ruler and arcs 

Question



(a) On the diagram above, draw a line perpendicular to the line AB, through the point P.
(b) Using a straight edge and compasses only, construct the locus of points that are equidistant
from A and from C.

Answer/Explanation

Ans:

(a) Ruled perpendicular line
through P
(b) Correct ruled line drawn
with 2 correct sets of arcs

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