ECZ 2026 · GCE Paper 2 · Question 1 — Algebra

Question from ECZ 2026 · GCE Paper 2 · Question 1

(a) Express 7x - 3 - 81 - 2x as a single fraction in its simplest form.[3]

Verified working — step 1

1 - 2x = -(2x - 1), so the minus in front of the second fraction becomes a plus:

(b) A box contains 2 green balls and 3 blue balls. A ball is selected at random from the box and not replaced. A second ball is then selected.

(b(i)) Draw a tree diagram to illustrate the outcomes.[2]

Verified working — step 1

5 balls: 2 green and 3 blue, drawn WITHOUT replacement.

(b(ii)) What is the probability of selecting two balls of different colours?[3]

Verified working — step 1

"Different colours" happens two ways: green then blue, or blue then green.

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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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