Clocks: Test 2

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Clocks Test 2: questions and answers

Take the test first if you want an honest score. The answers and solutions below are folded away until you open them.

  1. 1. Find the smaller angle between the hands of a clock at 7:05.
    1. 180.5°
    2. 177.5°
    3. 176.5°
    4. 174.5°

    Reference: q-378884ac-61 · Report this question

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    Answer: B. 177.5°

    Angle = |30H − 5.5M| = 182.5°. Take the smaller angle: 177.5°.
  2. 2. At what minutes past 3 o'clock will the hands coincide?
    1. 14.36 minutes
    2. 18.36 minutes
    3. 13.36 minutes
    4. 16.36 minutes

    Reference: q-a5535144-56 · Report this question

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    Answer: D. 16.36 minutes

    The hands meet at 60H/11 = 60×3/11 = 16.36 minutes past 3.
  3. 3. A clock gains 8 minutes in 24 hours. How many minutes will it gain in 18 days?
    1. 144 minutes
    2. 142 minutes
    3. 147 minutes
    4. 143 minutes

    Reference: q-63281485-79 · Report this question

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    Answer: A. 144 minutes

    Daily gain × days = 8 × 18 = 144 minutes.
  4. 4. At 2:39, which expression gives the angle between the clock hands?
    1. -1,159°
    2. 184.5°
    3. 154.5°
    4. 174°

    Reference: q-3d5d5a47-67 · Report this question

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    Answer: C. 154.5°

    The hour hand moves continuously, so use |30H − 5.5M| and choose the smaller angle.
  5. 5. Find the smaller angle between the hands of a clock at 7:43.
    1. 26.5°
    2. 24.5°
    3. 27.5°
    4. 29.5°

    Reference: q-8c025476-61 · Report this question

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    Answer: A. 26.5°

    Angle = |30H − 5.5M| = 26.5°. Take the smaller angle: 26.5°.
  6. 6. A clock gains 4 minutes in 24 hours. How many minutes will it gain in 18 days?
    1. 72 minutes
    2. 73 minutes
    3. 71 minutes
    4. 69 minutes

    Reference: q-c81bcb79-79 · Report this question

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    Answer: A. 72 minutes

    Daily gain × days = 4 × 18 = 72 minutes.
  7. 7. At 8:15, which expression gives the angle between the clock hands?
    1. 150°
    2. 187.5°
    3. 157.5°
    4. -406°

    Reference: q-7c8a075b-67 · Report this question

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    Answer: C. 157.5°

    The hour hand moves continuously, so use |30H − 5.5M| and choose the smaller angle.
  8. 8. Find the smaller angle between the hands of a clock at 7:36.
    1. 15°
    2. 11°
    3. 9°
    4. 12°

    Reference: q-25467332-61 · Report this question

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    Answer: D. 12°

    Angle = |30H − 5.5M| = 12°. Take the smaller angle: 12°.
  9. 9. At what minutes past 6 o'clock will the hands be opposite?
    1. 62.73 minutes
    2. 59.73 minutes
    3. 60.73 minutes
    4. 65.73 minutes

    Reference: q-58dcc7b1-59 · Report this question

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    Answer: A. 62.73 minutes

    For an opposite position, 5.5M − 30H = 180. Thus M = (180 + 30×6)/5.5 = 62.73 minutes.
  10. 10. A clock gains 2 minutes in 24 hours. How many minutes will it gain in 7 days?
    1. 12 minutes
    2. 15 minutes
    3. 11 minutes
    4. 14 minutes

    Reference: q-dae1872f-78 · Report this question

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    Answer: D. 14 minutes

    Daily gain × days = 2 × 7 = 14 minutes.

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