ECZ 2019 · O-Level Paper 2 · Question 3 — Sets
Question from ECZ 2019 · O-Level Paper 2 · Question 3
(a) Solve the equation p2 - p = 4, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Rearrange to standard form: p2 - p - 4 = 0, so a = 1, b = -1, c = -4.(b) The Venn diagram below shows the number of elements in sets A, B and C. Find
(b(i)) x, such that n(B) = n(B union C)',[2]
Verified working — step 1
n(B) = 8 + (x - 4) + 5 = x + 9.(b(ii)) y, such that n(C) = n(A),[1]
Verified working — step 1
n(C) = 5 + 2y and n(A) = 7 + 8 = 15.(b(iii)) n(E),[1]
Verified working — step 1
With x = 8 and y = …(b(iv)) n(B').[1]
Verified working — step 1
n(B) = 8 + 4 + 5 = …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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