Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 565 · 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 62 minutes? =
2. 2.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
3. 3.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
4. 4.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
5. 5.How many degrees does the minute hand of a clock turn in 48 minutes? =
6. 6.How many degrees does the minute hand of a clock turn in 39 minutes? =
7. 7.How many degrees does the hour hand of a clock turn in 173 minutes? =
8. 8.A clock shows 2:59. What time will it show 140 minutes later? (a) 5:29 (b) 6:19 (c) 5:19 (d) 5:09
9. 9.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
10. 10.A clock shows 3:39. What time will it show 152 minutes later? (a) 6:11 (b) 6:21 (c) 7:11 (d) 6:01
11. 11.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
12. 12.How many degrees does the minute hand of a clock turn in 59 minutes? =
13. 13.A clock shows 6:46. What time will it show 14 minutes later? (a) 8:00 (b) 6:50 (c) 7:10 (d) 7:00
14. 14.How many degrees does the hour hand of a clock turn in 88 minutes? =
15. 15.How many degrees does the hour hand of a clock turn in 51 minutes? =
16. 16.How many degrees does the minute hand of a clock turn in 38 minutes? =
17. 17.How many degrees does the hour hand of a clock turn in 53 minutes? =
18. 18.How many degrees does the hour hand of a clock turn in 27 minutes? =
19. 19.A clock shows 3:07. What time will it show 13 minutes later? (a) 3:10 (b) 4:20 (c) 3:30 (d) 3:20
20. 20.A clock shows 12:06. What time will it show 39 minutes later? (a) 12:35 (b) 12:55 (c) 1:45 (d) 12:45
21. 21.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
22. 22.A clock shows 5:11. What time will it show 120 minutes later? (a) 7:11 (b) 8:11 (c) 7:21 (d) 7:01
23. 23.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
24. 24.A clock shows 4:45. What time will it show 60 minutes later? (a) 5:55 (b) 5:35 (c) 5:45 (d) 6:45
25. 25.A clock shows 11:48. What time will it show 112 minutes later? (a) 1:50 (b) 1:30 (c) 2:40 (d) 1:40
26. 26.A clock shows 6:06. What time will it show 33 minutes later? (a) 6:49 (b) 7:39 (c) 6:29 (d) 6:39
27. 27.A clock shows 2:47. What time will it show 50 minutes later? (a) 3:47 (b) 3:37 (c) 4:37 (d) 3:27
28. 28.A clock shows 3:06. What time will it show 42 minutes later? (a) 3:58 (b) 3:48 (c) 3:38 (d) 4:48
29. 29.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
30. 30.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
31. 31.How many degrees does the hour hand of a clock turn in 98 minutes? =
32. 32.A clock shows 2:44. What time will it show 17 minutes later? (a) 4:01 (b) 2:51 (c) 3:01 (d) 3:11
33. 33.How many degrees does the minute hand of a clock turn in 40 minutes? =
34. 34.How many degrees does the minute hand of a clock turn in 34 minutes? =
35. 35.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
36. 36.How many degrees does the hour hand of a clock turn in 106 minutes? =
37. 37.A clock shows 5:55. What time will it show 60 minutes later? (a) 6:45 (b) 6:55 (c) 7:55 (d) 7:05
38. 38.How many degrees does the hour hand of a clock turn in 66 minutes? =
39. 39.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
40. 40.A clock shows 9:06. What time will it show 90 minutes later? (a) 10:26 (b) 11:36 (c) 10:36 (d) 10:46

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