Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 194 · 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 3:59? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
3. 3.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
4. 4.A clock shows 11:21. What time will it show 55 minutes later? (a) 12:16 (b) 12:26 (c) 12:06 (d) 1:16
5. 5.A clock shows 9:12. What time will it show 84 minutes later? (a) 10:26 (b) 11:36 (c) 10:36 (d) 10:46
6. 6.A clock shows 6:12. What time will it show 54 minutes later? (a) 6:56 (b) 7:16 (c) 8:06 (d) 7:06
7. 7.A clock shows 1:36. What time will it show 32 minutes later? (a) 1:58 (b) 3:08 (c) 2:08 (d) 2:18
8. 8.A clock shows 3:46. What time will it show 20 minutes later? (a) 5:06 (b) 4:06 (c) 3:56 (d) 4:16
9. 9.How many degrees does the hour hand of a clock turn in 91 minutes? =
10. 10.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
11. 11.How many degrees does the minute hand of a clock turn in 59 minutes? =
12. 12.How many degrees does the minute hand of a clock turn in 30 minutes? =
13. 13.How many degrees does the minute hand of a clock turn in 35 minutes? =
14. 14.A clock shows 1:46. What time will it show 109 minutes later? (a) 3:45 (b) 3:35 (c) 3:25 (d) 4:35
15. 15.How many degrees does the minute hand of a clock turn in 5 minutes? =
16. 16.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
17. 17.How many degrees does the hour hand of a clock turn in 106 minutes? =
18. 18.How many degrees does the minute hand of a clock turn in 21 minutes? =
19. 19.A clock shows 2:25. What time will it show 82 minutes later? (a) 4:47 (b) 3:57 (c) 3:47 (d) 3:37
20. 20.How many degrees does the hour hand of a clock turn in 79 minutes? =
21. 21.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
22. 22.How many degrees does the minute hand of a clock turn in 22 minutes? =
23. 23.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
24. 24.How many degrees does the minute hand of a clock turn in 14 minutes? =
25. 25.A clock shows 9:11. What time will it show 41 minutes later? (a) 10:52 (b) 9:52 (c) 10:02 (d) 9:42
26. 26.How many degrees does the hour hand of a clock turn in 175 minutes? =
27. 27.A clock shows 4:21. What time will it show 148 minutes later? (a) 6:39 (b) 6:59 (c) 7:49 (d) 6:49
28. 28.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
29. 29.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
30. 30.A clock shows 3:02. What time will it show 166 minutes later? (a) 5:58 (b) 5:48 (c) 6:48 (d) 5:38
31. 31.A clock shows 5:06. What time will it show 138 minutes later? (a) 7:14 (b) 7:24 (c) 7:34 (d) 8:24
32. 32.A clock shows 12:13. What time will it show 137 minutes later? (a) 2:20 (b) 3:30 (c) 2:40 (d) 2:30
33. 33.A clock shows 3:34. What time will it show 56 minutes later? (a) 4:30 (b) 4:40 (c) 4:20 (d) 5:30
34. 34.How many degrees does the minute hand of a clock turn in 29 minutes? =
35. 35.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
36. 36.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
37. 37.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
38. 38.A clock shows 12:03. What time will it show 51 minutes later? (a) 12:54 (b) 1:54 (c) 12:44 (d) 1:04
39. 39.A clock shows 1:09. What time will it show 34 minutes later? (a) 1:43 (b) 2:43 (c) 1:33 (d) 1:53
40. 40.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =

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