Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 771 · 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 11:07? (in degrees) =
2. 2.A clock shows 1:36. What time will it show 48 minutes later? (a) 2:14 (b) 3:24 (c) 2:34 (d) 2:24
3. 3.How many degrees does the minute hand of a clock turn in 35 minutes? =
4. 4.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
5. 5.How many degrees does the hour hand of a clock turn in 156 minutes? =
6. 6.How many degrees does the minute hand of a clock turn in 33 minutes? =
7. 7.How many degrees does the hour hand of a clock turn in 48 minutes? =
8. 8.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
9. 9.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
10. 10.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
11. 11.A clock shows 7:07. What time will it show 15 minutes later? (a) 7:32 (b) 7:22 (c) 7:12 (d) 8:22
12. 12.How many degrees does the minute hand of a clock turn in 23 minutes? =
13. 13.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
14. 14.A clock shows 4:54. What time will it show 105 minutes later? (a) 6:39 (b) 6:49 (c) 7:39 (d) 6:29
15. 15.How many degrees does the minute hand of a clock turn in 14 minutes? =
16. 16.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
17. 17.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
18. 18.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
19. 19.A clock shows 9:17. What time will it show 164 minutes later? (a) 1:01 (b) 12:11 (c) 12:01 (d) 11:51
20. 20.A clock shows 9:28. What time will it show 112 minutes later? (a) 11:10 (b) 11:20 (c) 12:20 (d) 11:30
21. 21.A clock shows 2:10. What time will it show 33 minutes later? (a) 2:33 (b) 2:53 (c) 2:43 (d) 3:43
22. 22.A clock shows 1:45. What time will it show 36 minutes later? (a) 2:31 (b) 2:21 (c) 2:11 (d) 3:21
23. 23.A clock shows 12:45. What time will it show 26 minutes later? (a) 1:21 (b) 1:01 (c) 1:11 (d) 2:11
24. 24.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
25. 25.How many degrees does the minute hand of a clock turn in 9 minutes? =
26. 26.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
27. 27.A clock shows 5:09. What time will it show 109 minutes later? (a) 6:48 (b) 7:58 (c) 7:08 (d) 6:58
28. 28.How many degrees does the minute hand of a clock turn in 8 minutes? =
29. 29.A clock shows 7:52. What time will it show 62 minutes later? (a) 9:04 (b) 8:44 (c) 8:54 (d) 9:54
30. 30.How many degrees does the hour hand of a clock turn in 23 minutes? =
31. 31.How many degrees does the minute hand of a clock turn in 50 minutes? =
32. 32.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
33. 33.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
35. 35.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
36. 36.How many degrees does the minute hand of a clock turn in 13 minutes? =
37. 37.How many degrees does the minute hand of a clock turn in 22 minutes? =
38. 38.How many degrees does the minute hand of a clock turn in 51 minutes? =
39. 39.A clock shows 4:17. What time will it show 89 minutes later? (a) 5:36 (b) 5:56 (c) 5:46 (d) 6:46
40. 40.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =

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