ECZ 2025 · GCE Paper 2 · Question 6 — Vectors In Two Dimensions

Question from ECZ 2025 · GCE Paper 2 · Question 6

(a) In the diagram, AD = 3a, AB = 2b, AB : BC = 1 : 2, BX : BD = 1 : 4 and E is the midpoint of CD. Express in terms of a and/or b

(a(i)) BD,[1]

Verified working — step 1

Route B to D through A: BD = BA + AD.

(a(ii)) DX,[1]

Verified working — step 1

AB : BC = 1 : 2 with BC parallel to AB, so BC = 2AB = 4b.

(a(iii)) CD,[1]

Verified working — step 1

AC = AB + BC = 2b + 4b = 6b.

(a(iv)) AE.[2]

Verified working — step 1

DC = -CD = -3a + 6b.

(b) Study the following flowchart. Write a pseudocode corresponding to the flowchart program above.[5]

Verified working — step 1

Read the flowchart top to bottom, one pseudocode statement per symbol:

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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