Angles on a Clock: The Clock Shop

Tick, tock! In the Clock Shop, every clock’s two hands make an angle. At 3:00 the hands make a right angle, and at 6:00 they make a straight line.

Remember: A clock’s hand goes all the way round in a full turn of 360°. The 12 numbers split that turn into 12 equal jumps, so from one number to the next is 30°. We measure the smaller angle between the hands: 1:00 is 30°, 2:00 is 60°, 3:00 is 90°, 4:00 is 120°, 5:00 is 150° and 6:00 is 180°.

Magic trick: Count the jumps between the hands, not the numbers, then count by 30s: 3 jumps is 30, 60, 90°.