Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 200 · 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 11:12? (in degrees) =
2. 2.How many degrees does the minute hand of a clock turn in 43 minutes? =
3. 3.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
4. 4.How many degrees does the hour hand of a clock turn in 108 minutes? =
5. 5.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
6. 6.How many degrees does the hour hand of a clock turn in 179 minutes? =
7. 7.How many degrees does the minute hand of a clock turn in 36 minutes? =
8. 8.A clock shows 6:54. What time will it show 23 minutes later? (a) 7:27 (b) 7:17 (c) 8:17 (d) 7:07
9. 9.A clock shows 1:57. What time will it show 131 minutes later? (a) 4:18 (b) 3:58 (c) 5:08 (d) 4:08
10. 10.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
11. 11.How many degrees does the minute hand of a clock turn in 8 minutes? =
12. 12.How many degrees does the hour hand of a clock turn in 69 minutes? =
13. 13.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
14. 14.How many degrees does the hour hand of a clock turn in 99 minutes? =
15. 15.How many degrees does the hour hand of a clock turn in 82 minutes? =
16. 16.A clock shows 1:53. What time will it show 142 minutes later? (a) 5:15 (b) 4:25 (c) 4:15 (d) 4:05
17. 17.How many degrees does the minute hand of a clock turn in 28 minutes? =
18. 18.A clock shows 5:10. What time will it show 114 minutes later? (a) 6:54 (b) 7:14 (c) 7:04 (d) 8:04
19. 19.How many degrees does the hour hand of a clock turn in 46 minutes? =
20. 20.How many degrees does the hour hand of a clock turn in 147 minutes? =
21. 21.How many degrees does the minute hand of a clock turn in 48 minutes? =
22. 22.A clock shows 10:52. What time will it show 44 minutes later? (a) 11:46 (b) 11:26 (c) 12:36 (d) 11:36
23. 23.A clock shows 11:03. What time will it show 116 minutes later? (a) 12:59 (b) 12:49 (c) 1:09 (d) 1:59
24. 24.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
25. 25.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
26. 26.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
27. 27.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
28. 28.A clock shows 4:26. What time will it show 111 minutes later? (a) 7:17 (b) 6:07 (c) 6:17 (d) 6:27
29. 29.A clock shows 7:42. What time will it show 85 minutes later? (a) 8:57 (b) 10:07 (c) 9:07 (d) 9:17
30. 30.How many degrees does the minute hand of a clock turn in 15 minutes? =
31. 31.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
32. 32.How many degrees does the hour hand of a clock turn in 125 minutes? =
33. 33.How many degrees does the minute hand of a clock turn in 30 minutes? =
34. 34.A clock shows 12:01. What time will it show 83 minutes later? (a) 1:24 (b) 1:34 (c) 1:14 (d) 2:24
35. 35.A clock shows 5:31. What time will it show 149 minutes later? (a) 7:50 (b) 9:00 (c) 8:00 (d) 8:10
36. 36.A clock shows 1:09. What time will it show 63 minutes later? (a) 2:12 (b) 2:22 (c) 3:12 (d) 2:02
37. 37.How many degrees does the hour hand of a clock turn in 96 minutes? =
38. 38.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
39. 39.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
40. 40.How many degrees does the hour hand of a clock turn in 93 minutes? =

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