Clocks
8 questions · EasyMediumHard
The minute hand moves 6° a minute and the hour hand 0.5° a minute. Clock angle questions follow from those two speeds.
💡 Quick tricks
- Angle at H:M = |30H − 5.5M| degrees; if over 180°, subtract from 360°.
- At 3:00 the hands are 90° apart; at 6:00, 180°.
- The hands coincide about every 65 5/11 minutes.
🎯 Try it yourself
Tap an answer. You'll see if it's right, and why. Easy ones come first.
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Q1Easy
Smaller angle between the clock hands at 9:00?
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Answer: B. 90°
💡 Angle = |30 × 9 − 5.5 × 0| = 90°.
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Q2Easy
Smaller angle between the clock hands at 5:00?
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Answer: A. 150°
💡 Angle = |30 × 5 − 5.5 × 0| = 150°.
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Q3Easy
Smaller angle between the clock hands at 1:00?
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Answer: A. 30°
💡 Angle = |30 × 1 − 5.5 × 0| = 30°.
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Q4Medium
Smaller angle between the clock hands at 1:15?
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Answer: B. 52.5°
💡 Angle = |30 × 1 − 5.5 × 15| = 52.5°.
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Q5Medium
Smaller angle between the clock hands at 6:15?
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Answer: A. 97.5°
💡 Angle = |30 × 6 − 5.5 × 15| = 97.5°.
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Q6Medium
Smaller angle between the clock hands at 11:45?
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Answer: A. 82.5°
💡 Angle = |30 × 11 − 5.5 × 45| = 82.5°.
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Q7Hard
Smaller angle between the clock hands at 2:50?
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Answer: A. 145°
💡 Angle = |30 × 2 − 5.5 × 50| = 145°.
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Q8Hard
Smaller angle between the clock hands at 11:20?
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Answer: D. 140°
💡 Angle = |30 × 11 − 5.5 × 20| = 140°.
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