Multiple choice

The angle between the minute hand and the hour hand of a clock when the time is half past nine is

  1. 75

  2. 95

  3. 105

  4. 125
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 9:30, the minute hand is at 6. The hour hand is halfway between 9 and 10. Each hour mark is 30 degrees. From 6 to 9 is 3 hours = 90 degrees. The hour hand has moved 0.5 degrees per minute for 30 minutes = 15 degrees. Total angle = 90 + 15 = 105 degrees.

AI explanation

Using the clock angle formula, the angle equals the absolute value of 30 times the hours minus 11 divided by 2 times the minutes. At half past nine, the calculation is 30 times 9 minus 5.5 times 30, yielding 270 minus 165. The resulting angle is 105 degrees.

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