Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 562 · 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 8:42? (in degrees) =
2. 2.How many degrees does the hour hand of a clock turn in 82 minutes? =
3. 3.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
4. 4.A clock shows 12:36. What time will it show 141 minutes later? (a) 3:07 (b) 3:57 (c) 2:47 (d) 2:57
5. 5.A clock shows 7:07. What time will it show 57 minutes later? (a) 7:54 (b) 9:04 (c) 8:14 (d) 8:04
6. 6.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
7. 7.A clock shows 10:16. What time will it show 42 minutes later? (a) 11:08 (b) 10:48 (c) 10:58 (d) 11:58
8. 8.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
9. 9.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
10. 10.How many degrees does the hour hand of a clock turn in 144 minutes? =
11. 11.A clock shows 5:08. What time will it show 30 minutes later? (a) 5:28 (b) 5:48 (c) 6:38 (d) 5:38
12. 12.How many degrees does the hour hand of a clock turn in 60 minutes? =
13. 13.How many degrees does the minute hand of a clock turn in 39 minutes? =
14. 14.A clock shows 2:49. What time will it show 143 minutes later? (a) 6:12 (b) 5:02 (c) 5:22 (d) 5:12
15. 15.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
16. 16.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
17. 17.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
18. 18.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
19. 19.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
20. 20.How many degrees does the hour hand of a clock turn in 32 minutes? =
21. 21.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
22. 22.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
23. 23.A clock shows 11:07. What time will it show 103 minutes later? (a) 1:00 (b) 12:40 (c) 1:50 (d) 12:50
24. 24.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
25. 25.A clock shows 11:34. What time will it show 81 minutes later? (a) 1:05 (b) 1:55 (c) 12:45 (d) 12:55
26. 26.How many degrees does the minute hand of a clock turn in 52 minutes? =
27. 27.How many degrees does the minute hand of a clock turn in 54 minutes? =
28. 28.How many degrees does the minute hand of a clock turn in 48 minutes? =
29. 29.How many degrees does the minute hand of a clock turn in 41 minutes? =
30. 30.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
31. 31.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
32. 32.How many degrees does the minute hand of a clock turn in 36 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
34. 34.A clock shows 11:56. What time will it show 85 minutes later? (a) 2:21 (b) 1:31 (c) 1:21 (d) 1:11
35. 35.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
36. 36.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
37. 37.How many degrees does the hour hand of a clock turn in 67 minutes? =
38. 38.How many degrees does the minute hand of a clock turn in 18 minutes? =
39. 39.How many degrees does the hour hand of a clock turn in 43 minutes? =
40. 40.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =

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