Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 387 · 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 8:51? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
3. 3.A clock shows 5:41. What time will it show 57 minutes later? (a) 7:38 (b) 6:28 (c) 6:38 (d) 6:48
4. 4.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
5. 5.A clock shows 5:46. What time will it show 40 minutes later? (a) 6:26 (b) 6:36 (c) 6:16 (d) 7:26
6. 6.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
7. 7.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
8. 8.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
9. 9.How many degrees does the minute hand of a clock turn in 34 minutes? =
10. 10.A clock shows 5:39. What time will it show 16 minutes later? (a) 5:55 (b) 5:45 (c) 6:05 (d) 6:55
11. 11.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
12. 12.A clock shows 2:28. What time will it show 26 minutes later? (a) 3:04 (b) 2:44 (c) 3:54 (d) 2:54
13. 13.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
14. 14.A clock shows 9:47. What time will it show 19 minutes later? (a) 10:16 (b) 11:06 (c) 9:56 (d) 10:06
15. 15.A clock shows 10:25. What time will it show 122 minutes later? (a) 12:27 (b) 12:17 (c) 1:27 (d) 12:37
16. 16.How many degrees does the minute hand of a clock turn in 23 minutes? =
17. 17.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
18. 18.How many degrees does the hour hand of a clock turn in 33 minutes? =
19. 19.A clock shows 2:05. What time will it show 39 minutes later? (a) 3:44 (b) 2:44 (c) 2:54 (d) 2:34
20. 20.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
21. 21.A clock shows 7:29. What time will it show 37 minutes later? (a) 8:06 (b) 7:56 (c) 9:06 (d) 8:16
22. 22.A clock shows 6:51. What time will it show 134 minutes later? (a) 10:05 (b) 9:05 (c) 9:15 (d) 8:55
23. 23.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
24. 24.A clock shows 1:27. What time will it show 53 minutes later? (a) 3:20 (b) 2:20 (c) 2:30 (d) 2:10
25. 25.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
26. 26.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
27. 27.How many degrees does the hour hand of a clock turn in 34 minutes? =
28. 28.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
29. 29.A clock shows 4:08. What time will it show 43 minutes later? (a) 4:41 (b) 5:01 (c) 5:51 (d) 4:51
30. 30.How many degrees does the minute hand of a clock turn in 54 minutes? =
31. 31.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
32. 32.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
33. 33.A clock shows 5:12. What time will it show 158 minutes later? (a) 8:00 (b) 8:50 (c) 7:50 (d) 7:40
34. 34.How many degrees does the minute hand of a clock turn in 22 minutes? =
35. 35.A clock shows 3:30. What time will it show 163 minutes later? (a) 7:13 (b) 6:03 (c) 6:13 (d) 6:23
36. 36.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
37. 37.How many degrees does the minute hand of a clock turn in 52 minutes? =
38. 38.A clock shows 10:18. What time will it show 170 minutes later? (a) 2:08 (b) 1:08 (c) 12:58 (d) 1:18
39. 39.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
40. 40.How many degrees does the hour hand of a clock turn in 77 minutes? =

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