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WAEC Mathematics 2025 Theory — Question 18

Question 18 of 19 from the West African Examinations Council (WAEC) Mathematics 2025 Theory paper, with the correct answer and a full explanation.

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12(b). A bag contains 8 red balls and some white balls. Probability of drawing white is half the probability of drawing red. (See 11b above for solution). Alternatively: The points X(70°S, 60°E) and Y(7°S, 60°E) lie on the surface of the earth. (i) Illustrate the information in a diagram. (ii) Find the distance between X and Y along the meridian. [Take π = 22/7 and R = 6,400 km]

Diagram for question 18

Model answer

(i) See diagram — both points lie on longitude 60°E, different latitudes. (ii) θ = 70° − 7° = 63° Dist. XY = (θ/360°) × 2πR = (63/360) × 2 × (22/7) × 6400 = 7040 km

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