ECZ 2024 · O-Level Paper 2 · Question 3 — Vectors In Two Dimensions
Question from ECZ 2024 · O-Level Paper 2 · Question 3
(a) The following program is written in the form of pseudocode. Start Enter r, s IF s < r THEN Print 'error, s is not valid' ELSE A = π*r*s END IF Print A Stop Draw a flowchart corresponding to the pseudocode above.[5]
Verified working — step 1
Work down the pseudocode one symbol per statement.(b) In the diagram, EFG is a triangle in which EH = 4a, EF = 4b, FJ : JG = 1 : 3 and H is the midpoint of EG. FH and EJ meet at P.
(b(i)) Express in terms of a and/or b
(b(i)(a)) FH,[1]
Verified working — step 1
Route F to H through E: FH = FE + EH.(b(i)(b)) FG,[1]
Verified working — step 1
H is the midpoint of EG, so EG = 2EH = 8a.(b(i)(c)) EJ.[1]
Verified working — step 1
FJ : JG = 1 : 3 means FJ = (14)FG = (14)(8a - 4b) = 2a - b.(b(ii)) Given that FP = kFH, show that EP = 4ka + 4(1 - k)b.[2]
Verified working — step 1
EP = EF + FP = 4b + k FHThe 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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