ECZ 2018 · GCE Paper 2 · Question 3 — Sets
Question from ECZ 2018 · GCE Paper 2 · Question 3
(a) The diagram below shows how learners in a Grade 12 class at Twaenda School travel to school. The learners use either buses (B), cars (C) or walk (W) to school.
(a(i)) If 22 learners walk to school, find the value of x.[2]
Verified working — step 1
Walkers = (W only) + (B and W only) + (C and W only) + (all three).(a(ii)) How many learners use
(a(ii)(a)) only one mode of transport,[1]
Verified working — step 1
One mode only = (B only) + (C only) + (W only).(a(ii)(b)) two different modes of transport?[1]
Verified working — step 1
Two modes only = (B and C only) + (B and W only) + (C and W only).(b) Show that the points L(-2, -10), M(2, 2) and N(5, 11) are collinear.[5]
Verified working — step 1
Gradient LM = 2 - (-10)2 - (-2) = 124 = 3.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.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question