Question

Find the angle between the hour hand and the minute hand of a clock at 2 p.m. [3 Marks]

Answer 1

The total angle covered by a clock is 360° [1 mark]

There are 12 division in a clock and the angle made by each division at the centre will be,

$\frac{360}{12}$ = 30${}^{\circ }$​. [1.5 mark]

At 2 PM, the minute hand is at 12 and the hour hand is at 2.

There is a difference of 2 units between the 12 and 2.

Therefore, the required angle = 2 × 30 = 60${}^{\circ }$​ [0.5 marks]