ECZ 2012 · O-Level Paper 2 · Question 1 — Algebra
Question from ECZ 2012 · O-Level Paper 2 · Question 1
(a) Evaluate 2 13 - 2 14 ÷ 1 12.[2]
Verified working — step 1
Convert to improper fractions: 2 13 = 73, 2 14 = 94, 1 12 = 32.(b) Solve the equation 6x + 2 = 23.[2]
Verified working — step 1
Cross-multiply to clear the fractions.(c) Simplify x + 2x2 - 4.[2]
Verified working — step 1
The denominator is a difference of two squares.(d) A sugar cane stick has eleven equal segments. Given that one third of it is spoiled by stalk borers, calculate the number of the remaining segments giving your answer correct to 2 decimal places.[2]
Verified working — step 1
One third is spoiled, so two thirds remain.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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