ECZ 2025 · GCE Paper 2 · Question 11 — Earth Geometry
Question from ECZ 2025 · GCE Paper 2 · Question 11
(a) In the diagram, the points T and R lie on the equator while P and Q are on latitude 40° N. [π = 3.142 and R = 6 370 km]
(a(i)) Find the difference in longitude between points T and R.[1]
Verified working — step 1
T is on longitude 130 W and R on longitude 50…(a(ii)) Find the distance PQ along latitude 40° N in kilometres.[3]
Verified working — step 1
Distance along a latitude circle: (longitude difference360) x 2 π R cos(latitude).(a(iii)) Calculate the circumference of the circle of latitude 40° N in kilometres.[2]
Verified working — step 1
The circle of latitude 40 N has radius R cos 40.(b) In the following diagram, the dimensions of the top and bottom rectangles of the frustum of a right pyramid are 2 cm by 6 cm and 5 cm by 15 cm respectively. Given that the height of the frustum is 10 cm, calculate its volume.[6]
Verified working — step 1
Frustum volume: V = (h3)(A1 + A2 + √A_1 x A_2).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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