ECZ 2016 · GCE Paper 2 · Question 6 — Vectors In Two Dimensions
OA = a, OB = b. C on AB with AC:CB = 2:1; B on OD with OB:OD = 1:2.
(a(i)) Express AB in terms of a andorb.[1]
Verified working — step 1
AB = AO + OB = −a + b = …(a(ii)) Express AD in terms of a andorb.[1]
Verified working — step 1
Since OB:OD = 1:2, OD = 2OB = …(a(iii)) Express CD in terms of a andorb.[2]
Verified working — step 1
AC:CB = 2:1, so AC = (23)AB = (23)(b − a)(b) Tickets sold at K50 each; half the money was donated; the charity received K2 500. How many tickets were sold?[3]
Verified working — step 1
Let n = number of tickets. Total collected = 50n. Half donated = 2500.(c) 72 ladies, Fanta:not = 13:5; 18 more came, 8 took Fanta. Find the new ratio of Fanta to not.[3]
Verified working — step 1
Ratio Fanta:not = 13:5 of 72 → 18 parts, each = 4. Fanta = 52, Not = 20.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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