Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 52 · 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 6:22? (in degrees) =
2. 2.How many degrees does the minute hand of a clock turn in 44 minutes? =
3. 3.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
4. 4.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
5. 5.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
6. 6.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
7. 7.A clock shows 8:20. What time will it show 21 minutes later? (a) 9:41 (b) 8:41 (c) 8:51 (d) 8:31
8. 8.A clock shows 9:51. What time will it show 22 minutes later? (a) 10:03 (b) 10:13 (c) 10:23 (d) 11:13
9. 9.A clock shows 12:50. What time will it show 81 minutes later? (a) 3:11 (b) 2:21 (c) 2:11 (d) 2:01
10. 10.How many degrees does the hour hand of a clock turn in 51 minutes? =
11. 11.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
12. 12.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
13. 13.A clock shows 7:36. What time will it show 76 minutes later? (a) 9:02 (b) 8:42 (c) 9:52 (d) 8:52
14. 14.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
15. 15.How many degrees does the hour hand of a clock turn in 42 minutes? =
16. 16.How many degrees does the hour hand of a clock turn in 175 minutes? =
17. 17.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
18. 18.A clock shows 1:34. What time will it show 19 minutes later? (a) 1:43 (b) 1:53 (c) 2:53 (d) 2:03
19. 19.How many degrees does the minute hand of a clock turn in 13 minutes? =
20. 20.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
21. 21.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
22. 22.How many degrees does the minute hand of a clock turn in 22 minutes? =
23. 23.How many degrees does the hour hand of a clock turn in 176 minutes? =
24. 24.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
25. 25.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
26. 26.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
27. 27.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
28. 28.How many degrees does the minute hand of a clock turn in 55 minutes? =
29. 29.A clock shows 3:24. What time will it show 19 minutes later? (a) 4:43 (b) 3:43 (c) 3:33 (d) 3:53
30. 30.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
31. 31.A clock shows 11:54. What time will it show 106 minutes later? (a) 1:50 (b) 2:40 (c) 1:30 (d) 1:40
32. 32.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
33. 33.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
34. 34.How many degrees does the hour hand of a clock turn in 17 minutes? =
35. 35.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
36. 36.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
37. 37.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
38. 38.A clock shows 2:05. What time will it show 59 minutes later? (a) 4:04 (b) 2:54 (c) 3:14 (d) 3:04
39. 39.How many degrees does the minute hand of a clock turn in 4 minutes? =
40. 40.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =

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