ECZ 2016 · O-Level Paper 2 · Question 3 — Vectors In Two Dimensions
Question from ECZ 2016 · O-Level Paper 2 · Question 3
(a) The program below is given in the form of a pseudocode. Start Enter radius If radius < 0 Then display "error message" and re-enter positive radius Else enter height If height < 0 Then display "error message" and re-enter positive height Else Volume = 13 * π * square radius * height End if Display volume Stop Draw the corresponding flowchart for the information given above.[5]
Verified working — step 1
Turn each pseudocode line into its flowchart shape.(b) In the diagram below, OAB is a triangle in which OA = 3a and OB = 6b. OC : CA = 2 : 3 and AD : DB = 1 : 2. OD meets CB at E.
(b(i)) Express each of the following in terms of a and/or b
(b(i)(a)) AB,[1]
Verified working — step 1
Route A to B through O.(b(i)(b)) OD,[1]
Verified working — step 1
AD:DB = 1:2, so AD = (13)AB.(b(i)(c)) BC.[2]
Verified working — step 1
OC:CA = 2:3, so OC = (25)OA = (25)(3a) = (65)a.(b(ii)) Given that BE = hBC, express BE in terms of h, a and b.[1]
Verified working — step 1
BE = h BC, so multiply BC by h.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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