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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

  1. Angle at H:M = |30H − 5.5M| degrees; if over 180°, subtract from 360°.
  2. At 3:00 the hands are 90° apart; at 6:00, 180°.
  3. The hands coincide about every 65 5/11 minutes.
8 questions

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Tap an answer. You'll see if it's right, and why. Easy ones come first.

  1. Q1Easy

    Smaller angle between the clock hands at 9:00?

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    Answer: B. 90°

    💡 Angle = |30 × 9 − 5.5 × 0| = 90°.

  2. Q2Easy

    Smaller angle between the clock hands at 5:00?

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    Answer: A. 150°

    💡 Angle = |30 × 5 − 5.5 × 0| = 150°.

  3. Q3Easy

    Smaller angle between the clock hands at 1:00?

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    Answer: A. 30°

    💡 Angle = |30 × 1 − 5.5 × 0| = 30°.

  4. 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°.

  1. 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°.

  2. 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°.

  3. Q7Hard

    Smaller angle between the clock hands at 2:50?

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    Answer: A. 145°

    💡 Angle = |30 × 2 − 5.5 × 50| = 145°.

  4. 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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