Calendar and clock problems - Question Bank
1. What is the angle between the hour hand and the minute hand at 2:30?
2. How many times do the hands of a clock form a 90-degree angle in 24 hours?
3. A clock is set right at 10 AM. It loses 10 minutes every hour. What will be the actual time when the clock shows 10 AM the next day?
4. What is the angle between the hour hand and the minute hand at 8:40?
5. How many times in a day do the hour and minute hands of a clock coincide?
6. If the 1st of January of a leap year is a Thursday, what day of the week will be the 1st of January of the following year?
7. What is the angle between the hour hand and the minute hand at 6:15?
8. If a clock loses 5 minutes every hour, and it was set right at 10 AM, what will be the actual time when the clock shows 10 AM the next day?
9. How many minutes does the hour hand move in 1 hour?
10. A clock shows 4:20. What is the angle between the hour hand and the minute hand?
11. At what time between 7 PM and 8 PM will the hands of a clock be together?
12. If today is Monday, what day of the week will it be 150 days from now?
13. What is the angle between the hour hand and the minute hand at 12:30?
14. How many times a day are the hands of a clock at right angles?
15. A clock is set right at 8 AM. It gains 5 minutes every hour. What will be the actual time when the clock shows 10 PM on the same day?
16. What is the angle between the hour hand and the minute hand at 1:30?
17. If a clock strikes 3 in 3 seconds, how long will it take to strike 12?
18. How many times do the hands of a clock form a 180-degree angle in 24 hours?
19. What is the angle between the hour hand and the minute hand at 5:25?
20. A clock gains 2 minutes every hour. It is set right at 12 noon. What will be the actual time when the clock shows 12 noon the next day?
21. At what time between 2 PM and 3 PM will the hands of a clock be together?
22. If the day before yesterday was Sunday, what day will it be the day after tomorrow?
23. What is the angle between the hour hand and the minute hand at 11:00?
24. How many times do the hands of a clock coincide in a period of 24 hours?
25. A clock is set right at 9 AM. If it loses 10 minutes every hour, what will be the actual time when the clock shows 9 AM the next day?
26. What is the angle between the hour hand and minute hand at 7:30?
27. If 15th August 2023 was a Tuesday, what day of the week will be 15th August 2024?
28. How many minutes does the minute hand gain on the hour hand in one hour?
29. A faulty clock shows 1:00 PM when the actual time is 12:00 PM. It gains 1 hour in 24 hours. What will be the actual time when the faulty clock shows 1:00 AM?
30. What is the angle between the hour hand and the minute hand at 9:00?
31. If a clock takes 3 seconds to strike 4, how long will it take to strike 7?
32. How many times do the hands of a clock overlap in 12 hours?
33. A clock is showing 2:30. What is the angle between the hour hand and the minute hand?
34. At what time between 5 PM and 6 PM will the hands of a clock be perpendicular to each other?
35. What day of the week was January 1st, 2000?
36. If the time is 4:40, what is the angle between the hour hand and the minute hand?
37. How many times in a week do the hands of a clock form a straight line (180 degrees)?
38. A clock is set right at noon. What will be the true time when the clock indicates 5 PM on the following day, if it gains 3 minutes in every hour?
39. What is the angle between the hour hand and the minute hand at 10:10?
40. If today is Saturday, what day of the week will it be 100 days from now?
41. How many times do the hands of a clock point in opposite directions in a span of 24 hours?
42. A watch which gains uniformly was set right at 8 AM. It indicates 10 AM at 10 PM. What is the correct time when the watch shows 4 PM?
43. What is the angle between the hands of a clock at 3:15?
44. If a clock strikes 6 in 6 seconds, how long will it take to strike 12?
45. How many degrees does the hour hand move in 1 minute?
46. How many degrees does the minute hand move in 1 minute?
47. A clock gains 5 seconds every hour. It is set right at 8 AM. What will be the actual time when the clock shows 10 PM on the same day?
48. What is the angle between the hour hand and the minute hand at 6:00?
49. If the 25th of December is a Friday, what day of the week will be the next year's 1st of January?
50. At what time between 4 PM and 5 PM will the hands of a clock be together?