ECZ 2021 · O-Level Paper 2 · Question 2 — Sets
Question from ECZ 2021 · O-Level Paper 2 · Question 2
(a) Evaluate ∫1-1 (1 - 4x + 3x2) dx.[3]
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Integrate term by term: antiderivative x - 2x2 + x3.(b) At a certain secondary school, all the learners in Grade twelve take at least one of the following optional subjects: French (F), Home Economics (HE) and Geography (G). 20 learners take French only, 25 learners take Home Economics only and 22 learners take Geography only. Furthermore, 9 learners take French and Geography, 12 learners take French and Home Economics, 15 learners take Geography and Home Economics and 4 learners take all the three subjects.
(b(i)) Illustrate this information in a Venn diagram.[2]
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Fill from the CENTRE outwards: all three = 4.(b(ii)) How many Grade twelve learners
(b(ii)(a)) are at this school,[1]
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Every learner takes at least one …(b(ii)(b)) take Home Economics and Geography but not French,[1]
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"Home Economics and Geography but not …(b(ii)(c)) take two optional subjects only?[1]
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"Two subjects only" is th…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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