Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 518 · 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 minute hand of a clock turn in 29 minutes? =
2. 2.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
3. 3.How many degrees does the hour hand of a clock turn in 45 minutes? =
4. 4.How many degrees does the minute hand of a clock turn in 30 minutes? =
5. 5.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
6. 6.How many degrees does the minute hand of a clock turn in 25 minutes? =
7. 7.A clock shows 2:28. What time will it show 87 minutes later? (a) 3:55 (b) 4:55 (c) 3:45 (d) 4:05
8. 8.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
9. 9.A clock shows 1:27. What time will it show 96 minutes later? (a) 3:13 (b) 3:03 (c) 2:53 (d) 4:03
10. 10.How many degrees does the hour hand of a clock turn in 42 minutes? =
11. 11.A clock shows 7:44. What time will it show 138 minutes later? (a) 10:02 (b) 9:52 (c) 11:02 (d) 10:12
12. 12.A clock shows 4:17. What time will it show 56 minutes later? (a) 5:03 (b) 6:13 (c) 5:23 (d) 5:13
13. 13.A clock shows 6:22. What time will it show 70 minutes later? (a) 7:32 (b) 7:42 (c) 8:32 (d) 7:22
14. 14.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
15. 15.A clock shows 7:44. What time will it show 102 minutes later? (a) 9:16 (b) 9:26 (c) 9:36 (d) 10:26
16. 16.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
17. 17.How many degrees does the minute hand of a clock turn in 56 minutes? =
18. 18.A clock shows 9:48. What time will it show 136 minutes later? (a) 12:14 (b) 11:54 (c) 1:04 (d) 12:04
19. 19.A clock shows 5:49. What time will it show 39 minutes later? (a) 7:28 (b) 6:38 (c) 6:28 (d) 6:18
20. 20.A clock shows 9:35. What time will it show 74 minutes later? (a) 10:39 (b) 10:49 (c) 10:59 (d) 11:49
21. 21.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
22. 22.How many degrees does the minute hand of a clock turn in 48 minutes? =
23. 23.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
24. 24.How many degrees does the hour hand of a clock turn in 160 minutes? =
25. 25.A clock shows 11:50. What time will it show 106 minutes later? (a) 1:26 (b) 1:36 (c) 2:36 (d) 1:46
26. 26.How many degrees does the minute hand of a clock turn in 17 minutes? =
27. 27.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
28. 28.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
29. 29.How many degrees does the hour hand of a clock turn in 50 minutes? =
30. 30.A clock shows 3:10. What time will it show 94 minutes later? (a) 4:54 (b) 5:44 (c) 4:34 (d) 4:44
31. 31.A clock shows 3:04. What time will it show 109 minutes later? (a) 5:03 (b) 5:53 (c) 4:53 (d) 4:43
32. 32.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
33. 33.How many degrees does the minute hand of a clock turn in 41 minutes? =
34. 34.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
35. 35.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
36. 36.A clock shows 1:03. What time will it show 61 minutes later? (a) 2:04 (b) 2:14 (c) 3:04 (d) 1:54
37. 37.A clock shows 10:05. What time will it show 13 minutes later? (a) 10:28 (b) 10:18 (c) 11:18 (d) 10:08
38. 38.A clock shows 4:09. What time will it show 53 minutes later? (a) 5:02 (b) 4:52 (c) 5:12 (d) 6:02
39. 39.How many degrees does the minute hand of a clock turn in 20 minutes? =
40. 40.A clock shows 3:43. What time will it show 105 minutes later? (a) 6:28 (b) 5:28 (c) 5:18 (d) 5:38

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