ECZ 2016 · GCE Paper 1 — Probability
A target is a square piece of wood ABCD of side 50 cm. M and N are midpoints of AB and CD respectively, and O is the centre of the square. The diagonal from D to B is drawn, and the regions between the mid-line NM and the diagonal (triangle DNO above the centre and triangle OMB below it) are shaded. A bullet fired at the target lands at a random point. Expressing your answer in its simplest form, find the probability that it lands in the shaded region.
- A. 12
- B. 14
- C. 18
- D. 38
Verified working — step 1
Take the square as 50 × 50 = 2500 cm². Triangle DNO has base DN = 25 and height 25 (N to O), area ½ × 25 × 25 = 312.5; triangle OMB is congruent, another 312.5. Shaded = 625, so P = 6252500= …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