The minute hand of this clock has snapped off. The hour hand points exactly at the first small mark before VI. How many minutes are left until 6 o'clock?

The small marks are 6° apart, and the hour hand turns 0.5° a minute, so it needs 6 ÷ 0.5 = 12 minutes to move one mark. One mark short of VI means 12 minutes to go: the time is 5:48. (1 min treats the hour hand like a minute hand; 48 min is the minutes already past 5.)