ECZ 2025 · GCE Paper 2 · Question 5 — Construction and Loci
Question from ECZ 2025 · GCE Paper 2 · Question 5
(a(i)) Construct triangle ABC in which AB = 10 cm, AC = 8 cm and angle BAC = 100°.[1]
Verified working — step 1
Draw AB = 10 cm with a ruler.(a(ii)) Measure and write the length of BC.[1]
Verified working — step 1
Measure BC directly with a ruler on the constructed triangle: BC = …(b) On your diagram, draw the locus of points within triangle ABC which are
(b(i)) 7 cm from C,[1]
Verified working — step 1
The locus of points 7 cm from the…(b(ii)) 4 cm from AB,[1]
Verified working — step 1
The locus of points 4 cm from the line AB is a lin…(b(iii)) equidistant from AC and BC.[2]
Verified working — step 1
Points equidistant from the lines CA a…(c) A point P, within triangle ABC, is such that it is less than or equal to 7 cm from C, less than or equal to 4 cm from AB and nearer to AC than BC. Indicate, by shading, the region in which P must lie.[2]
Verified working — step 1
At most 7 cm from C: on or inside the arc from (b)(i).The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question