ECZ 2022 · GCE Paper 2 · Question 3 — Sets
Question from ECZ 2022 · GCE Paper 2 · Question 3
(a) In a particular locality, 25 people like walking, 22 people like running and 15 people like cycling during their morning routine exercises. 11 people like both walking and running, 9 people like both running and cycling, 7 people like both walking and cycling, 3 people like all the three activities while 7 people do not like any of the activities.
(a(i)) Draw a Venn diagram to illustrate this information.[2]
Verified working — step 1
Fill from the CENTRE outwards: all three = 3.(a(ii)) How many people
(a(ii)(a)) are in this locality,[1]
Verified working — step 1
Every person sits in exactly …(a(ii)(b)) like walking only,[1]
Verified working — step 1
"Walking only" is W wit…(a(ii)(c)) like two different activities only?[1]
Verified working — step 1
"Two activities only" is t…(b) The position vectors of the points A, B and C are -1-2, 36 and 918 respectively. Show that the points A, B and C are collinear.[5]
Verified working — step 1
AB = B - A = (3 - (-1), 6 - (-2)) = (4, 8) = 4(1, 2).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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