Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 891 · 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 5:48? (in degrees) =
2. 2.How many degrees does the minute hand of a clock turn in 8 minutes? =
3. 3.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
4. 4.How many degrees does the hour hand of a clock turn in 14 minutes? =
5. 5.How many degrees does the hour hand of a clock turn in 162 minutes? =
6. 6.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
7. 7.How many degrees does the minute hand of a clock turn in 48 minutes? =
8. 8.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
9. 9.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
10. 10.How many degrees does the minute hand of a clock turn in 11 minutes? =
11. 11.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
12. 12.How many degrees does the hour hand of a clock turn in 156 minutes? =
13. 13.How many degrees does the minute hand of a clock turn in 16 minutes? =
14. 14.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
15. 15.How many degrees does the minute hand of a clock turn in 31 minutes? =
16. 16.How many degrees does the minute hand of a clock turn in 54 minutes? =
17. 17.A clock shows 4:16. What time will it show 140 minutes later? (a) 7:36 (b) 6:26 (c) 6:36 (d) 6:46
18. 18.A clock shows 10:01. What time will it show 56 minutes later? (a) 10:57 (b) 10:47 (c) 11:07 (d) 11:57
19. 19.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
20. 20.How many degrees does the minute hand of a clock turn in 43 minutes? =
21. 21.How many degrees does the minute hand of a clock turn in 30 minutes? =
22. 22.How many degrees does the hour hand of a clock turn in 51 minutes? =
23. 23.A clock shows 7:29. What time will it show 37 minutes later? (a) 9:06 (b) 7:56 (c) 8:16 (d) 8:06
24. 24.How many degrees does the minute hand of a clock turn in 19 minutes? =
25. 25.How many degrees does the hour hand of a clock turn in 17 minutes? =
26. 26.A clock shows 4:20. What time will it show 47 minutes later? (a) 4:57 (b) 5:17 (c) 5:07 (d) 6:07
27. 27.A clock shows 5:10. What time will it show 103 minutes later? (a) 6:43 (b) 6:53 (c) 7:53 (d) 7:03
28. 28.A clock shows 5:52. What time will it show 44 minutes later? (a) 6:46 (b) 6:36 (c) 7:36 (d) 6:26
29. 29.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
30. 30.A clock shows 11:41. What time will it show 103 minutes later? (a) 1:14 (b) 1:34 (c) 1:24 (d) 2:24
31. 31.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
32. 32.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
33. 33.A clock shows 6:25. What time will it show 91 minutes later? (a) 7:46 (b) 8:56 (c) 7:56 (d) 8:06
34. 34.How many degrees does the minute hand of a clock turn in 5 minutes? =
35. 35.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
36. 36.How many degrees does the minute hand of a clock turn in 45 minutes? =
37. 37.A clock shows 8:17. What time will it show 48 minutes later? (a) 9:15 (b) 10:05 (c) 8:55 (d) 9:05
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 27 minutes? =
40. 40.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =

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