Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 911 · 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.How many degrees does the hour hand of a clock turn in 146 minutes? =
2. 2.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
3. 3.How many degrees does the minute hand of a clock turn in 30 minutes? =
4. 4.A clock shows 11:05. What time will it show 104 minutes later? (a) 1:49 (b) 12:59 (c) 12:49 (d) 12:39
5. 5.How many degrees does the minute hand of a clock turn in 2 minutes? =
6. 6.How many degrees does the minute hand of a clock turn in 32 minutes? =
7. 7.A clock shows 10:20. What time will it show 75 minutes later? (a) 11:35 (b) 11:25 (c) 12:35 (d) 11:45
8. 8.How many degrees does the hour hand of a clock turn in 12 minutes? =
9. 9.How many degrees does the minute hand of a clock turn in 50 minutes? =
10. 10.A clock shows 3:27. What time will it show 91 minutes later? (a) 5:08 (b) 4:48 (c) 5:58 (d) 4:58
11. 11.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
12. 12.A clock shows 5:03. What time will it show 106 minutes later? (a) 7:49 (b) 6:59 (c) 6:39 (d) 6:49
13. 13.How many degrees does the minute hand of a clock turn in 3 minutes? =
14. 14.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
15. 15.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
16. 16.How many degrees does the hour hand of a clock turn in 163 minutes? =
17. 17.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
18. 18.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
19. 19.How many degrees does the hour hand of a clock turn in 108 minutes? =
20. 20.How many degrees does the minute hand of a clock turn in 16 minutes? =
21. 21.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
22. 22.A clock shows 1:55. What time will it show 67 minutes later? (a) 4:02 (b) 3:02 (c) 3:12 (d) 2:52
23. 23.How many degrees does the hour hand of a clock turn in 170 minutes? =
24. 24.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
25. 25.How many degrees does the hour hand of a clock turn in 151 minutes? =
26. 26.How many degrees does the hour hand of a clock turn in 49 minutes? =
27. 27.How many degrees does the hour hand of a clock turn in 68 minutes? =
28. 28.A clock shows 11:23. What time will it show 62 minutes later? (a) 12:35 (b) 12:15 (c) 1:25 (d) 12:25
29. 29.A clock shows 3:49. What time will it show 122 minutes later? (a) 6:51 (b) 5:41 (c) 5:51 (d) 6:01
30. 30.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
31. 31.How many degrees does the hour hand of a clock turn in 141 minutes? =
32. 32.A clock shows 6:16. What time will it show 38 minutes later? (a) 6:54 (b) 7:04 (c) 6:44 (d) 7:54
33. 33.A clock shows 9:31. What time will it show 107 minutes later? (a) 12:18 (b) 11:18 (c) 11:08 (d) 11:28
34. 34.A clock shows 7:56. What time will it show 10 minutes later? (a) 7:56 (b) 9:06 (c) 8:16 (d) 8:06
35. 35.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
36. 36.How many degrees does the hour hand of a clock turn in 27 minutes? =
37. 37.How many degrees does the hour hand of a clock turn in 155 minutes? =
38. 38.How many degrees does the hour hand of a clock turn in 111 minutes? =
39. 39.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
40. 40.A clock shows 2:15. What time will it show 53 minutes later? (a) 3:18 (b) 4:08 (c) 2:58 (d) 3:08

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