Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 657 · 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.A clock shows 10:52. What time will it show 106 minutes later? (a) 12:38 (b) 12:48 (c) 12:28 (d) 1:38
2. 2.A clock shows 4:30. What time will it show 145 minutes later? (a) 6:55 (b) 7:55 (c) 6:45 (d) 7:05
3. 3.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
4. 4.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
5. 5.A clock shows 8:34. What time will it show 168 minutes later? (a) 11:12 (b) 11:22 (c) 11:32 (d) 12:22
6. 6.A clock shows 1:42. What time will it show 50 minutes later? (a) 2:42 (b) 2:22 (c) 3:32 (d) 2:32
7. 7.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
8. 8.How many degrees does the minute hand of a clock turn in 24 minutes? =
9. 9.How many degrees does the hour hand of a clock turn in 103 minutes? =
10. 10.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
11. 11.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
12. 12.How many degrees does the minute hand of a clock turn in 31 minutes? =
13. 13.How many degrees does the hour hand of a clock turn in 18 minutes? =
14. 14.A clock shows 12:48. What time will it show 52 minutes later? (a) 1:30 (b) 1:40 (c) 2:40 (d) 1:50
15. 15.How many degrees does the minute hand of a clock turn in 17 minutes? =
16. 16.A clock shows 8:27. What time will it show 56 minutes later? (a) 9:13 (b) 9:33 (c) 10:23 (d) 9:23
17. 17.How many degrees does the minute hand of a clock turn in 51 minutes? =
18. 18.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
19. 19.A clock shows 2:55. What time will it show 71 minutes later? (a) 5:06 (b) 3:56 (c) 4:06 (d) 4:16
20. 20.How many degrees does the hour hand of a clock turn in 27 minutes? =
21. 21.How many degrees does the minute hand of a clock turn in 56 minutes? =
22. 22.How many degrees does the minute hand of a clock turn in 58 minutes? =
23. 23.A clock shows 12:14. What time will it show 150 minutes later? (a) 2:54 (b) 2:34 (c) 3:44 (d) 2:44
24. 24.How many degrees does the minute hand of a clock turn in 32 minutes? =
25. 25.A clock shows 2:46. What time will it show 139 minutes later? (a) 5:15 (b) 5:05 (c) 4:55 (d) 6:05
26. 26.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
27. 27.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
28. 28.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
29. 29.A clock shows 3:35. What time will it show 63 minutes later? (a) 4:48 (b) 4:28 (c) 5:38 (d) 4:38
30. 30.A clock shows 5:48. What time will it show 157 minutes later? (a) 9:25 (b) 8:15 (c) 8:35 (d) 8:25
31. 31.A clock shows 8:19. What time will it show 107 minutes later? (a) 10:06 (b) 10:16 (c) 9:56 (d) 11:06
32. 32.A clock shows 3:10. What time will it show 128 minutes later? (a) 5:28 (b) 6:18 (c) 5:18 (d) 5:08
33. 33.A clock shows 12:32. What time will it show 127 minutes later? (a) 2:29 (b) 2:49 (c) 3:39 (d) 2:39
34. 34.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
35. 35.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
36. 36.How many degrees does the minute hand of a clock turn in 13 minutes? =
37. 37.A clock shows 3:46. What time will it show 19 minutes later? (a) 4:05 (b) 4:15 (c) 3:55 (d) 5:05
38. 38.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
39. 39.A clock shows 12:16. What time will it show 94 minutes later? (a) 2:50 (b) 1:50 (c) 1:40 (d) 2:00
40. 40.How many degrees does the hour hand of a clock turn in 141 minutes? =

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