ECZ 2023 · GCE Paper 2 · Question 1 — Sets
Question from ECZ 2023 · GCE Paper 2 · Question 1
(a) Simplify 13a328a2 b2 ÷ 65a4 b56a2 b4.[2]
Verified working — step 1
Dividing by a fraction means multiplying by its reciprocal:(b) Learners in a Grade 10 class were asked the types of drinks they liked. The Venn diagram shows their responses.
(b(i)) Given that 40 learners liked Fanta, find the value of x.[2]
Verified working — step 1
Everyone who likes Fanta lies inside its circle:(b(ii)) Find the total number of learners in the class.[1]
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Substitute x = 7 into every region and add:(b(iii)) How many learners
(b(iii)(a)) did not like Fanta,[1]
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Fanta lovers = …(b(iii)(b)) liked two types of drinks only?[1]
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"Two drinks only" is the three pair-only regions: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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