ECZ 2025 · GCE Paper 2 · Question 4 — Sets
Question from ECZ 2025 · GCE Paper 2 · Question 4
(a) Solve the equation 2x2 = 7 - 10x, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Rearrange to standard form first: 2x2 + 10x - 7 = 0, so a = 2, b = 10, c = -7.(b) At Kamulima Farming Community, 33 farmers planted sorghum (S), 25 planted groundnuts (G), 38 planted maize (M), 15 planted both sorghum and groundnuts, 14 planted both sorghum and maize, 13 planted both groundnuts and maize and 6 farmers planted all the three types of crops.
(b(i)) Illustrate this information on a Venn diagram.[2]
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Fill a Venn diagram from the CENTRE outwards.(b(ii)) How many farmers
(b(ii)(a)) were in this community altogether,[1]
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Every farmer sits in exactly …(b(ii)(b)) planted one type of crop only,[1]
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"One type only" is the t…(b(ii)(c)) planted two different types of crops only?[1]
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"Exactly two types" is the three pair-…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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