Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 899 · 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 12:37? (in degrees) =
2. 2.How many degrees does the hour hand of a clock turn in 10 minutes? =
3. 3.A clock shows 12:36. What time will it show 55 minutes later? (a) 1:21 (b) 2:31 (c) 1:31 (d) 1:41
4. 4.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
5. 5.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
6. 6.A clock shows 11:48. What time will it show 31 minutes later? (a) 12:09 (b) 12:29 (c) 1:19 (d) 12:19
7. 7.A clock shows 11:04. What time will it show 25 minutes later? (a) 11:19 (b) 12:29 (c) 11:39 (d) 11:29
8. 8.A clock shows 5:16. What time will it show 39 minutes later? (a) 6:05 (b) 5:45 (c) 5:55 (d) 6:55
9. 9.A clock shows 2:21. What time will it show 66 minutes later? (a) 3:37 (b) 3:17 (c) 4:27 (d) 3:27
10. 10.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
11. 11.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
12. 12.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
13. 13.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
14. 14.A clock shows 11:06. What time will it show 64 minutes later? (a) 1:10 (b) 12:20 (c) 12:10 (d) 12:00
15. 15.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
16. 16.How many degrees does the minute hand of a clock turn in 44 minutes? =
17. 17.How many degrees does the minute hand of a clock turn in 45 minutes? =
18. 18.A clock shows 9:26. What time will it show 156 minutes later? (a) 11:52 (b) 12:02 (c) 1:02 (d) 12:12
19. 19.How many degrees does the minute hand of a clock turn in 22 minutes? =
20. 20.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
21. 21.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
22. 22.A clock shows 3:32. What time will it show 99 minutes later? (a) 5:21 (b) 6:11 (c) 5:01 (d) 5:11
23. 23.A clock shows 4:18. What time will it show 158 minutes later? (a) 6:46 (b) 7:56 (c) 6:56 (d) 7:06
24. 24.How many degrees does the minute hand of a clock turn in 33 minutes? =
25. 25.How many degrees does the hour hand of a clock turn in 14 minutes? =
26. 26.A clock shows 11:17. What time will it show 169 minutes later? (a) 3:06 (b) 1:56 (c) 2:16 (d) 2:06
27. 27.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
28. 28.A clock shows 2:41. What time will it show 103 minutes later? (a) 5:24 (b) 4:34 (c) 4:24 (d) 4:14
29. 29.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
30. 30.How many degrees does the minute hand of a clock turn in 49 minutes? =
31. 31.How many degrees does the minute hand of a clock turn in 54 minutes? =
32. 32.How many degrees does the minute hand of a clock turn in 4 minutes? =
33. 33.A clock shows 3:39. What time will it show 73 minutes later? (a) 5:52 (b) 4:42 (c) 4:52 (d) 5:02
34. 34.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
35. 35.A clock shows 4:23. What time will it show 109 minutes later? (a) 7:12 (b) 6:12 (c) 6:22 (d) 6:02
36. 36.A clock shows 9:23. What time will it show 87 minutes later? (a) 11:00 (b) 11:50 (c) 10:40 (d) 10:50
37. 37.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
38. 38.A clock shows 8:46. What time will it show 85 minutes later? (a) 10:21 (b) 10:01 (c) 10:11 (d) 11:11
39. 39.How many degrees does the minute hand of a clock turn in 11 minutes? =
40. 40.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =

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