ECZ 2016 · GCE Paper 2 · Question 5 — Sets
Question from ECZ 2016 · GCE Paper 2 · Question 5
(a) The Venn diagram below shows the results of a survey conducted at Mayuka clinic on patients who were attended to on a particular day. Set W represents those who complained of body weakness, set H those who complained of headache and set F those who complained of fever.
(a(i)) Use the information in the Venn diagram to find the number of people who complained of
(a(i)(a)) body weakness only,[1]
Verified working — step 1
Body weakness only is the part of W outside both H and F.(a(i)(b)) body weakness and fever only,[1]
Verified working — step 1
Body weakness and fever only is the W-and-F overlap outside H.(a(i)(c)) headache.[1]
Verified working — step 1
Headache means every region inside H.(a(ii)) Calculate the percentage of those who complained of all the three ailments.[2]
Verified working — step 1
Total surveyed = 18 + 13 + 14 + 6 + 5 = 56.(b) Solve the inequality (32)n + 5 < 14.[2]
Verified working — step 1
(32)n + 5 < 14(c) Given that 4% of the bricks get damaged when they reach the building site, how many bricks should a builder order if 4 800 are needed to finish a job?[2]
Verified working — step 1
4% get damaged, so 96% survive to be used.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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