ECZ 2025 · O-Level Paper 2 · Question 6 — Construction and Loci
Question from ECZ 2025 · O-Level Paper 2 · Question 6
(a) Construct triangle PQR in which PQ = 8 cm, angle QPR = 50° and angle PQR = 70°.[1]
Verified working — step 1
Draw PQ = 8 cm with a ruler.(b) Measure and write the length of PR.[1]
Verified working — step 1
Measured from an accurate drawing, PR = 8.7 cm.(c) Within triangle PQR, draw the locus of points which are
(c(i)) 3 cm from PQ,[1]
Verified working — step 1
The locus of points 3 cm from the line …(c(ii)) 6 cm from R,[1]
Verified working — step 1
The locus of points 6 cm from the point R…(c(iii)) equidistant from P and Q.[2]
Verified working — step 1
Points equidistant from P and Q lie …(d) A point L within the triangle PQR, is such that it is less than or equal to 3 cm from PQ, less than or equal to 6 cm from R and nearer to P than to Q. Indicate, by shading, the region in which L must lie.[2]
Verified working — step 1
At most 3 cm from PQ: the strip between PQ and the parallel line from (c)(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.
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