Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 915 · 40 questions

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

1. 1.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
3. 3.How many degrees does the minute hand of a clock turn in 45 minutes? =
4. 4.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
5. 5.How many degrees does the minute hand of a clock turn in 28 minutes? =
6. 6.A clock shows 9:54. What time will it show 56 minutes later? (a) 10:50 (b) 11:50 (c) 11:00 (d) 10:40
7. 7.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
8. 8.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
9. 9.How many degrees does the minute hand of a clock turn in 34 minutes? =
10. 10.A clock shows 11:55. What time will it show 85 minutes later? (a) 1:10 (b) 2:20 (c) 1:30 (d) 1:20
11. 11.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
12. 12.A clock shows 8:12. What time will it show 155 minutes later? (a) 11:47 (b) 10:47 (c) 10:37 (d) 10:57
13. 13.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
14. 14.A clock shows 5:50. What time will it show 81 minutes later? (a) 7:11 (b) 7:21 (c) 7:01 (d) 8:11
15. 15.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
16. 16.How many degrees does the hour hand of a clock turn in 40 minutes? =
17. 17.How many degrees does the hour hand of a clock turn in 76 minutes? =
18. 18.A clock shows 3:27. What time will it show 170 minutes later? (a) 6:27 (b) 6:07 (c) 6:17 (d) 7:17
19. 19.A clock shows 11:24. What time will it show 150 minutes later? (a) 2:54 (b) 1:44 (c) 1:54 (d) 2:04
20. 20.A clock shows 12:59. What time will it show 24 minutes later? (a) 2:23 (b) 1:13 (c) 1:23 (d) 1:33
21. 21.A clock shows 10:33. What time will it show 90 minutes later? (a) 12:13 (b) 1:03 (c) 12:03 (d) 11:53
22. 22.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
23. 23.How many degrees does the minute hand of a clock turn in 49 minutes? =
24. 24.A clock shows 8:46. What time will it show 157 minutes later? (a) 11:33 (b) 11:13 (c) 11:23 (d) 12:23
25. 25.How many degrees does the hour hand of a clock turn in 47 minutes? =
26. 26.A clock shows 9:06. What time will it show 167 minutes later? (a) 12:03 (b) 12:53 (c) 11:43 (d) 11:53
27. 27.How many degrees does the minute hand of a clock turn in 19 minutes? =
28. 28.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
29. 29.How many degrees does the hour hand of a clock turn in 88 minutes? =
30. 30.How many degrees does the minute hand of a clock turn in 39 minutes? =
31. 31.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
32. 32.A clock shows 2:51. What time will it show 69 minutes later? (a) 4:00 (b) 5:00 (c) 3:50 (d) 4:10
33. 33.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
35. 35.A clock shows 11:22. What time will it show 42 minutes later? (a) 1:04 (b) 11:54 (c) 12:04 (d) 12:14
36. 36.How many degrees does the minute hand of a clock turn in 30 minutes? =
37. 37.A clock shows 4:15. What time will it show 42 minutes later? (a) 5:57 (b) 4:57 (c) 5:07 (d) 4:47
38. 38.A clock shows 1:41. What time will it show 56 minutes later? (a) 2:47 (b) 2:27 (c) 2:37 (d) 3:37
39. 39.A clock shows 11:26. What time will it show 60 minutes later? (a) 12:26 (b) 1:26 (c) 12:36 (d) 12:16
40. 40.How many degrees does the hour hand of a clock turn in 28 minutes? =

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