Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 364 · 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 3:27? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
3. 3.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
4. 4.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
5. 5.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
6. 6.How many degrees does the hour hand of a clock turn in 35 minutes? =
7. 7.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
8. 8.How many degrees does the minute hand of a clock turn in 8 minutes? =
9. 9.How many degrees does the minute hand of a clock turn in 39 minutes? =
10. 10.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
11. 11.How many degrees does the minute hand of a clock turn in 59 minutes? =
12. 12.How many degrees does the hour hand of a clock turn in 23 minutes? =
13. 13.How many degrees does the hour hand of a clock turn in 41 minutes? =
14. 14.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
15. 15.A clock shows 6:41. What time will it show 91 minutes later? (a) 8:02 (b) 8:22 (c) 8:12 (d) 9:12
16. 16.How many degrees does the minute hand of a clock turn in 28 minutes? =
17. 17.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
18. 18.A clock shows 6:07. What time will it show 129 minutes later? (a) 8:16 (b) 9:16 (c) 8:06 (d) 8:26
19. 19.A clock shows 4:24. What time will it show 156 minutes later? (a) 6:50 (b) 7:00 (c) 7:10 (d) 8:00
20. 20.How many degrees does the hour hand of a clock turn in 18 minutes? =
21. 21.How many degrees does the hour hand of a clock turn in 175 minutes? =
22. 22.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
23. 23.How many degrees does the hour hand of a clock turn in 39 minutes? =
24. 24.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
25. 25.A clock shows 3:18. What time will it show 153 minutes later? (a) 5:41 (b) 6:51 (c) 5:51 (d) 6:01
26. 26.How many degrees does the minute hand of a clock turn in 3 minutes? =
27. 27.A clock shows 11:10. What time will it show 17 minutes later? (a) 11:17 (b) 11:37 (c) 12:27 (d) 11:27
28. 28.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
29. 29.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
30. 30.How many degrees does the minute hand of a clock turn in 57 minutes? =
31. 31.How many degrees does the hour hand of a clock turn in 47 minutes? =
32. 32.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
33. 33.How many degrees does the minute hand of a clock turn in 30 minutes? =
34. 34.A clock shows 4:19. What time will it show 123 minutes later? (a) 6:32 (b) 7:22 (c) 6:22 (d) 6:12
35. 35.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
36. 36.A clock shows 10:04. What time will it show 83 minutes later? (a) 12:27 (b) 11:27 (c) 11:37 (d) 11:17
37. 37.How many degrees does the minute hand of a clock turn in 43 minutes? =
38. 38.How many degrees does the minute hand of a clock turn in 54 minutes? =
39. 39.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
40. 40.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =

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