Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 55 · 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 9:38? (in degrees) =
2. 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
3. 3.A clock shows 6:33. What time will it show 61 minutes later? (a) 7:24 (b) 7:44 (c) 7:34 (d) 8:34
4. 4.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
5. 5.How many degrees does the minute hand of a clock turn in 36 minutes? =
6. 6.How many degrees does the hour hand of a clock turn in 60 minutes? =
7. 7.A clock shows 1:31. What time will it show 45 minutes later? (a) 2:06 (b) 3:16 (c) 2:26 (d) 2:16
8. 8.A clock shows 5:06. What time will it show 59 minutes later? (a) 5:55 (b) 6:15 (c) 7:05 (d) 6:05
9. 9.A clock shows 7:24. What time will it show 124 minutes later? (a) 9:38 (b) 10:28 (c) 9:18 (d) 9:28
10. 10.A clock shows 7:47. What time will it show 77 minutes later? (a) 10:04 (b) 9:14 (c) 9:04 (d) 8:54
11. 11.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
12. 12.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
13. 13.A clock shows 3:09. What time will it show 76 minutes later? (a) 4:25 (b) 4:15 (c) 5:25 (d) 4:35
14. 14.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
15. 15.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
16. 16.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
17. 17.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
18. 18.How many degrees does the minute hand of a clock turn in 25 minutes? =
19. 19.How many degrees does the hour hand of a clock turn in 18 minutes? =
20. 20.A clock shows 5:46. What time will it show 30 minutes later? (a) 6:06 (b) 6:16 (c) 6:26 (d) 7:16
21. 21.How many degrees does the hour hand of a clock turn in 71 minutes? =
22. 22.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
23. 23.A clock shows 11:42. What time will it show 115 minutes later? (a) 1:37 (b) 1:47 (c) 2:37 (d) 1:27
24. 24.A clock shows 4:24. What time will it show 114 minutes later? (a) 6:28 (b) 6:18 (c) 6:08 (d) 7:18
25. 25.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
26. 26.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
27. 27.How many degrees does the minute hand of a clock turn in 51 minutes? =
28. 28.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
29. 29.A clock shows 1:57. What time will it show 55 minutes later? (a) 2:42 (b) 3:52 (c) 3:02 (d) 2:52
30. 30.A clock shows 5:44. What time will it show 147 minutes later? (a) 8:11 (b) 9:11 (c) 8:21 (d) 8:01
31. 31.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
32. 32.How many degrees does the minute hand of a clock turn in 53 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
35. 35.How many degrees does the hour hand of a clock turn in 83 minutes? =
36. 36.A clock shows 8:34. What time will it show 21 minutes later? (a) 9:55 (b) 9:05 (c) 8:55 (d) 8:45
37. 37.How many degrees does the minute hand of a clock turn in 35 minutes? =
38. 38.A clock shows 1:46. What time will it show 138 minutes later? (a) 4:04 (b) 3:54 (c) 5:04 (d) 4:14
39. 39.How many degrees does the hour hand of a clock turn in 68 minutes? =
40. 40.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =

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