ECZ 2014 · O-Level Paper 2 · Question 5 — Sets

Question from ECZ 2014 · O-Level Paper 2 · Question 5

(a) Tokhozani Sports Club offers Squash (S), Badminton (B) and Tennis (T). The Venn diagram below shows choices of the 73 members of the club.

(a(i)) Calculate the value of y.[2]

Verified working — step 1

All the Venn regions add to 73 members.

(a(ii)) Find the number of members who played Squash or Tennis but not Badminton.[1]

Verified working — step 1

Squash or Tennis but not Badminton covers three regions.

(a(iii)) How many members played two different sports only?[1]

Verified working — step 1

Two sports only = the three pairwise overlaps.

(a(iv)) Find the number of members who played one sport only.[1]

Verified working — step 1

One sport only = Squash only + Badminton only + Tennis only.

(b) To write an examination, a candidate is required to pay an entry fee of K38.50 and K25.00 for each subject.

(b(i)) If Mary intends to write 4 subjects, how much is she expected to pay?[1]

Verified working — step 1

Cost = fixed fee + per-subject fee.

(b(ii)) Given that Martin paid a total of K188.50, how many subjects did he write?[2]

Verified working — step 1

Remove the fixed fee first.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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