Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 33 · 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 3:30? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
3. 3.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
4. 4.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
5. 5.How many degrees does the minute hand of a clock turn in 50 minutes? =
6. 6.How many degrees does the hour hand of a clock turn in 11 minutes? =
7. 7.How many degrees does the minute hand of a clock turn in 46 minutes? =
8. 8.How many degrees does the minute hand of a clock turn in 29 minutes? =
9. 9.A clock shows 2:59. What time will it show 126 minutes later? (a) 5:15 (b) 5:05 (c) 4:55 (d) 6:05
10. 10.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
11. 11.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
12. 12.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
13. 13.A clock shows 9:40. What time will it show 73 minutes later? (a) 10:53 (b) 11:53 (c) 11:03 (d) 10:43
14. 14.How many degrees does the hour hand of a clock turn in 160 minutes? =
15. 15.How many degrees does the hour hand of a clock turn in 47 minutes? =
16. 16.A clock shows 6:05. What time will it show 46 minutes later? (a) 7:51 (b) 6:51 (c) 7:01 (d) 6:41
17. 17.How many degrees does the minute hand of a clock turn in 32 minutes? =
18. 18.How many degrees does the hour hand of a clock turn in 14 minutes? =
19. 19.A clock shows 2:59. What time will it show 103 minutes later? (a) 4:52 (b) 5:42 (c) 4:42 (d) 4:32
20. 20.How many degrees does the minute hand of a clock turn in 57 minutes? =
21. 21.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
22. 22.A clock shows 11:08. What time will it show 22 minutes later? (a) 11:30 (b) 11:20 (c) 12:30 (d) 11:40
23. 23.How many degrees does the hour hand of a clock turn in 143 minutes? =
24. 24.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
25. 25.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
26. 26.A clock shows 4:19. What time will it show 155 minutes later? (a) 7:04 (b) 7:54 (c) 6:44 (d) 6:54
27. 27.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
28. 28.How many degrees does the minute hand of a clock turn in 2 minutes? =
29. 29.How many degrees does the minute hand of a clock turn in 39 minutes? =
30. 30.How many degrees does the hour hand of a clock turn in 93 minutes? =
31. 31.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
32. 32.How many degrees does the hour hand of a clock turn in 48 minutes? =
33. 33.A clock shows 1:41. What time will it show 19 minutes later? (a) 2:10 (b) 2:00 (c) 1:50 (d) 3:00
34. 34.A clock shows 2:11. What time will it show 86 minutes later? (a) 3:27 (b) 3:37 (c) 4:37 (d) 3:47
35. 35.How many degrees does the minute hand of a clock turn in 22 minutes? =
36. 36.What is the smaller angle between the hour hand and the minute hand at 3:24? (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 hour hand of a clock turn in 132 minutes? =
39. 39.How many degrees does the minute hand of a clock turn in 18 minutes? =
40. 40.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =

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