Clock Problems — Engineering Board Exam Practice Questions

5 free engineering board exam reviewer questions on Clock Problems (Algebra), each with the correct answer and a worked solution.

1. What time after 3 o'clock will the hands of the clock be at a 90° angle?
2. It is now 3:06 PM. In how many minutes after the given time will the hands of the clock form a 20° angle for the 2nd time?
3. Meryl left her home past 3:00 PM as indicated on her wall clock. Between two to three hours after, she returned home and noticed that the…
4. At exactly what time after 2 o'clock will the hour hand and the minute hand extend in opposite directions for the first time?
5. At approximately what time after 12 o'clock will the hour and the minute hands of a clock form an angle of 120° for the second time?