BECE Mathematics 2015 Paper

Concept:The clock is divided into 12 equal hour sections, and each hour section forms an angle of $30^{\circ}$.To find the angle between the hands, count the number of hour sections between them and multiply by $30^{\circ}$.Explanation:The full clock measures $360^{\circ}$.So, angle for 1 hour gap $= \frac{360^{\circ}}{12} = 30^{\circ}$.At 8 O'clock, the minute hand is at 12 and the hour hand is at 8.The hour intervals between 8 and 12 are 4 intervals: 8–9, 9–10, 10–11, and 11–12.Therefore, the angle between the hands $= 4 \times 30^{\circ} = 120^{\circ}$.Answer:The angle is $120^{\circ}$, so the correct option is B.