Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 747 · 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.A clock shows 1:49. What time will it show 128 minutes later? (a) 4:07 (b) 4:57 (c) 3:57 (d) 3:47
2. 2.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
3. 3.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
4. 4.How many degrees does the hour hand of a clock turn in 152 minutes? =
5. 5.How many degrees does the minute hand of a clock turn in 12 minutes? =
6. 6.How many degrees does the minute hand of a clock turn in 28 minutes? =
7. 7.How many degrees does the hour hand of a clock turn in 113 minutes? =
8. 8.How many degrees does the minute hand of a clock turn in 34 minutes? =
9. 9.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
10. 10.How many degrees does the hour hand of a clock turn in 72 minutes? =
11. 11.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
12. 12.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
13. 13.A clock shows 2:22. What time will it show 152 minutes later? (a) 5:04 (b) 5:54 (c) 4:44 (d) 4:54
14. 14.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
15. 15.How many degrees does the minute hand of a clock turn in 14 minutes? =
16. 16.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
17. 17.A clock shows 2:46. What time will it show 45 minutes later? (a) 4:31 (b) 3:21 (c) 3:41 (d) 3:31
18. 18.How many degrees does the hour hand of a clock turn in 29 minutes? =
19. 19.How many degrees does the minute hand of a clock turn in 20 minutes? =
20. 20.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
21. 21.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
22. 22.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
23. 23.How many degrees does the minute hand of a clock turn in 31 minutes? =
24. 24.How many degrees does the minute hand of a clock turn in 26 minutes? =
25. 25.How many degrees does the minute hand of a clock turn in 22 minutes? =
26. 26.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
27. 27.A clock shows 3:38. What time will it show 51 minutes later? (a) 4:39 (b) 4:19 (c) 4:29 (d) 5:29
28. 28.How many degrees does the minute hand of a clock turn in 56 minutes? =
29. 29.A clock shows 5:04. What time will it show 24 minutes later? (a) 5:28 (b) 5:38 (c) 5:18 (d) 6:28
30. 30.How many degrees does the hour hand of a clock turn in 171 minutes? =
31. 31.A clock shows 11:42. What time will it show 115 minutes later? (a) 1:47 (b) 2:37 (c) 1:27 (d) 1:37
32. 32.A clock shows 6:16. What time will it show 58 minutes later? (a) 7:24 (b) 7:14 (c) 8:14 (d) 7:04
33. 33.A clock shows 4:32. What time will it show 69 minutes later? (a) 6:41 (b) 5:31 (c) 5:51 (d) 5:41
34. 34.A clock shows 4:02. What time will it show 73 minutes later? (a) 5:05 (b) 5:25 (c) 6:15 (d) 5:15
35. 35.A clock shows 7:25. What time will it show 18 minutes later? (a) 8:43 (b) 7:33 (c) 7:53 (d) 7:43
36. 36.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
37. 37.How many degrees does the minute hand of a clock turn in 16 minutes? =
38. 38.How many degrees does the minute hand of a clock turn in 24 minutes? =
39. 39.How many degrees does the minute hand of a clock turn in 17 minutes? =
40. 40.A clock shows 11:04. What time will it show 79 minutes later? (a) 1:23 (b) 12:23 (c) 12:33 (d) 12:13

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