Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 345 · 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 139 minutes? =
2. 2.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
3. 3.How many degrees does the hour hand of a clock turn in 126 minutes? =
4. 4.How many degrees does the minute hand of a clock turn in 14 minutes? =
5. 5.A clock shows 10:56. What time will it show 160 minutes later? (a) 1:46 (b) 2:36 (c) 1:36 (d) 1:26
6. 6.A clock shows 6:49. What time will it show 58 minutes later? (a) 7:47 (b) 7:37 (c) 7:57 (d) 8:47
7. 7.A clock shows 3:37. What time will it show 105 minutes later? (a) 5:32 (b) 6:22 (c) 5:12 (d) 5:22
8. 8.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
9. 9.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
10. 10.A clock shows 2:35. What time will it show 151 minutes later? (a) 6:06 (b) 5:06 (c) 5:16 (d) 4:56
11. 11.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
12. 12.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
13. 13.How many degrees does the minute hand of a clock turn in 46 minutes? =
14. 14.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
15. 15.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
16. 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
17. 17.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
18. 18.A clock shows 1:19. What time will it show 46 minutes later? (a) 1:55 (b) 3:05 (c) 2:15 (d) 2:05
19. 19.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
20. 20.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
21. 21.A clock shows 9:58. What time will it show 168 minutes later? (a) 1:46 (b) 12:56 (c) 12:36 (d) 12:46
22. 22.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
23. 23.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
24. 24.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
25. 25.How many degrees does the minute hand of a clock turn in 32 minutes? =
26. 26.How many degrees does the minute hand of a clock turn in 59 minutes? =
27. 27.How many degrees does the minute hand of a clock turn in 33 minutes? =
28. 28.How many degrees does the minute hand of a clock turn in 29 minutes? =
29. 29.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
30. 30.How many degrees does the minute hand of a clock turn in 47 minutes? =
31. 31.A clock shows 1:12. What time will it show 115 minutes later? (a) 4:07 (b) 3:17 (c) 3:07 (d) 2:57
32. 32.How many degrees does the hour hand of a clock turn in 43 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
35. 35.A clock shows 3:57. What time will it show 169 minutes later? (a) 6:36 (b) 6:46 (c) 7:46 (d) 6:56
36. 36.How many degrees does the hour hand of a clock turn in 46 minutes? =
37. 37.A clock shows 6:19. What time will it show 166 minutes later? (a) 9:15 (b) 8:55 (c) 9:05 (d) 10:05
38. 38.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
39. 39.How many degrees does the minute hand of a clock turn in 58 minutes? =
40. 40.How many degrees does the hour hand of a clock turn in 134 minutes? =

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