ECZ 2025 · O-Level Paper 2 · Question 4 — Sets
A certain school offers French, Chinese and Japanese classes. A group of students was asked which language they had studied. The following Venn diagram shows the results.
(a) How many students studied
(a(i)) at least one language,[2]
Verified working — step 1
"At least one language" is everyone i…(a(ii)) French or Chinese but not Japanese,[1]
Verified working — step 1
"French or Chinese but not Japanese" keeps …(a(iii)) one of the languages only,[1]
Verified working — step 1
"One language only" means the three single-l…(a(iv)) neither French, Chinese nor Japanese.[1]
Verified working — step 1
"Neither French, Chinese nor Japanese" …(b) Evaluate ∫1-3 (6x2 - 5x + 2) dx.[3]
Verified working — step 1
Integrate term by term, raising each power by one and dividing by the new power.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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