ECZ 2015 · GCE Paper 2 · Question 5 — Vectors In Two Dimensions
Question from ECZ 2015 · GCE Paper 2 · Question 5
(a) In the diagram below, OAB is a triangle in which OA = a and OB = b. The point X on AB is such that AX : XB = 3 : 1. Express in terms of a and/or b
(a(i)) BO[1]
Verified working — step 1
BO is the re…(a(ii)) AB[1]
Verified working — step 1
Route A to B through O.(a(iii)) AX[1]
Verified working — step 1
AX:XB = 3:1, so AX is three quarters of AB.(a(iv)) OX[2]
Verified working — step 1
OX = OA + AX.(b) Gevara paid K100.00 for electricity. He was given 237 units for K66.50 and the remaining amount was deducted for TV levy and other taxes. Calculate
(b(i)) the amount for TV levy and other taxes,[1]
Verified working — step 1
The levy and taxes are what was deducted from the payment.(b(ii)) the cost of 1 unit of electricity.[2]
Verified working — step 1
Only the K66.50 bought units.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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