Example 1 · level 1
What is the smaller angle between the hour hand and the minute hand of a clock at 3:00?
Show solution
- 3 gaps × 30° = 90°.
- Smaller angle = 90°.
Answer: 90
CLASS 6 MATHS · UNDERSTANDING ELEMENTARY SHAPES
Angles on a clock and turns
A full turn is 360°. Each hour mark on a clock is 30° apart. A right angle is a quarter turn (90°).
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Worked examples
Example 2 · level 2
Fatima faces West and turns anticlockwise until facing East. Through how many degrees did they turn?
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- 2 right angles = 2 × 90° = 180°.
Answer: 180
Example 3 · level 3
What is the smaller angle between the hour hand and the minute hand of a clock at 2:50?
Show solution
- Hour hand: 2 × 30 + 50 × 0.5 = 85° from 12.
- Minute hand: 50 × 6 = 300° from 12.
- Difference = 215°; smaller angle = 360 − 215 = 145°.
Answer: 145