Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 177 · 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 9:54? (in degrees) =
2. 2.A clock shows 3:32. What time will it show 86 minutes later? (a) 5:08 (b) 4:58 (c) 4:48 (d) 5:58
3. 3.How many degrees does the hour hand of a clock turn in 170 minutes? =
4. 4.A clock shows 5:35. What time will it show 150 minutes later? (a) 9:05 (b) 8:15 (c) 8:05 (d) 7:55
5. 5.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
6. 6.A clock shows 8:09. What time will it show 152 minutes later? (a) 10:31 (b) 11:41 (c) 10:51 (d) 10:41
7. 7.How many degrees does the minute hand of a clock turn in 9 minutes? =
8. 8.A clock shows 6:28. What time will it show 59 minutes later? (a) 7:37 (b) 8:27 (c) 7:27 (d) 7:17
9. 9.A clock shows 4:05. What time will it show 43 minutes later? (a) 5:48 (b) 4:38 (c) 4:58 (d) 4:48
10. 10.How many degrees does the hour hand of a clock turn in 138 minutes? =
11. 11.A clock shows 2:06. What time will it show 15 minutes later? (a) 2:31 (b) 2:11 (c) 3:21 (d) 2:21
12. 12.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
13. 13.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
14. 14.How many degrees does the minute hand of a clock turn in 56 minutes? =
15. 15.A clock shows 9:12. What time will it show 107 minutes later? (a) 11:59 (b) 10:49 (c) 10:59 (d) 11:09
16. 16.A clock shows 7:37. What time will it show 132 minutes later? (a) 10:49 (b) 9:59 (c) 9:49 (d) 9:39
17. 17.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
18. 18.A clock shows 5:56. What time will it show 136 minutes later? (a) 8:12 (b) 8:02 (c) 9:12 (d) 8:22
19. 19.How many degrees does the hour hand of a clock turn in 80 minutes? =
20. 20.How many degrees does the hour hand of a clock turn in 148 minutes? =
21. 21.How many degrees does the minute hand of a clock turn in 2 minutes? =
22. 22.A clock shows 11:58. What time will it show 39 minutes later? (a) 1:37 (b) 12:37 (c) 12:47 (d) 12:27
23. 23.A clock shows 11:19. What time will it show 94 minutes later? (a) 12:43 (b) 1:53 (c) 12:53 (d) 1:03
24. 24.A clock shows 4:33. What time will it show 68 minutes later? (a) 5:51 (b) 6:41 (c) 5:31 (d) 5:41
25. 25.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
26. 26.How many degrees does the minute hand of a clock turn in 3 minutes? =
27. 27.A clock shows 4:09. What time will it show 157 minutes later? (a) 6:56 (b) 7:46 (c) 6:46 (d) 6:36
28. 28.A clock shows 2:41. What time will it show 27 minutes later? (a) 3:18 (b) 4:08 (c) 3:08 (d) 2:58
29. 29.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
30. 30.A clock shows 7:16. What time will it show 134 minutes later? (a) 10:30 (b) 9:20 (c) 9:40 (d) 9:30
31. 31.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
32. 32.How many degrees does the minute hand of a clock turn in 51 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
35. 35.A clock shows 8:41. What time will it show 103 minutes later? (a) 10:14 (b) 10:34 (c) 10:24 (d) 11:24
36. 36.A clock shows 5:17. What time will it show 114 minutes later? (a) 7:01 (b) 8:11 (c) 7:21 (d) 7:11
37. 37.A clock shows 3:06. What time will it show 49 minutes later? (a) 3:55 (b) 3:45 (c) 4:05 (d) 4:55
38. 38.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
39. 39.A clock shows 2:58. What time will it show 14 minutes later? (a) 3:22 (b) 3:02 (c) 4:12 (d) 3:12
40. 40.How many degrees does the minute hand of a clock turn in 13 minutes? =

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