ECZ 2026 · GCE Paper 2 · Question 4 — Construction and Loci
Question from ECZ 2026 · GCE Paper 2 · Question 4
(a(i)) Construct a triangle PQR in which PQ = 10cm, QR = 7cm and angle PQR = 50°.[1]
Verified working — step 1
Draw QR = 7 cm with a ruler.(a(ii)) Measure and write the length PR.[1]
Verified working — step 1
Measure PR with a ruler on the constructed triangle: PR = …(b) Within triangle PQR, construct the locus of points which are
(b(i)) 6cm from Q,[1]
Verified working — step 1
Points 6 cm from the POINT Q …(b(ii)) 2cm from QR,[1]
Verified working — step 1
Points 2 cm from the LINE QR lie on a line p…(b(iii)) equidistant from PR and PQ.[2]
Verified working — step 1
Points equidistant from the lines PR a…(c) A point T, within the triangle PQR is such that it is less than or equal to 6cm from Q, more than 2cm from QR and nearer to PR than PQ. Indicate clearly by shading, the region in which T must lie.[2]
Verified working — step 1
At most 6 cm from Q: 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.
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