Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 120 · 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 5:39? (in degrees) =
2. 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
3. 3.A clock shows 9:18. What time will it show 91 minutes later? (a) 10:59 (b) 11:49 (c) 10:39 (d) 10:49
4. 4.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
5. 5.How many degrees does the hour hand of a clock turn in 76 minutes? =
6. 6.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
7. 7.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
8. 8.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
9. 9.How many degrees does the minute hand of a clock turn in 14 minutes? =
10. 10.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
11. 11.A clock shows 11:51. What time will it show 11 minutes later? (a) 12:12 (b) 12:02 (c) 11:52 (d) 1:02
12. 12.How many degrees does the minute hand of a clock turn in 22 minutes? =
13. 13.How many degrees does the hour hand of a clock turn in 81 minutes? =
14. 14.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
15. 15.How many degrees does the minute hand of a clock turn in 17 minutes? =
16. 16.A clock shows 1:45. What time will it show 47 minutes later? (a) 2:42 (b) 2:32 (c) 3:32 (d) 2:22
17. 17.How many degrees does the hour hand of a clock turn in 156 minutes? =
18. 18.How many degrees does the minute hand of a clock turn in 28 minutes? =
19. 19.How many degrees does the minute hand of a clock turn in 11 minutes? =
20. 20.How many degrees does the hour hand of a clock turn in 12 minutes? =
21. 21.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
22. 22.A clock shows 7:38. What time will it show 12 minutes later? (a) 8:50 (b) 7:50 (c) 7:40 (d) 8:00
23. 23.How many degrees does the hour hand of a clock turn in 113 minutes? =
24. 24.How many degrees does the hour hand of a clock turn in 169 minutes? =
25. 25.How many degrees does the minute hand of a clock turn in 54 minutes? =
26. 26.A clock shows 1:50. What time will it show 50 minutes later? (a) 2:50 (b) 2:40 (c) 3:40 (d) 2:30
27. 27.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
28. 28.How many degrees does the hour hand of a clock turn in 87 minutes? =
29. 29.How many degrees does the hour hand of a clock turn in 108 minutes? =
30. 30.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
31. 31.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
32. 32.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
33. 33.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
34. 34.A clock shows 10:55. What time will it show 67 minutes later? (a) 12:12 (b) 11:52 (c) 1:02 (d) 12:02
35. 35.How many degrees does the hour hand of a clock turn in 152 minutes? =
36. 36.How many degrees does the minute hand of a clock turn in 21 minutes? =
37. 37.How many degrees does the minute hand of a clock turn in 19 minutes? =
38. 38.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
39. 39.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
40. 40.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =

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