Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 114 · 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.A clock shows 4:17. What time will it show 163 minutes later? (a) 6:50 (b) 7:10 (c) 7:00 (d) 8:00
2. 2.How many degrees does the hour hand of a clock turn in 36 minutes? =
3. 3.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
4. 4.How many degrees does the minute hand of a clock turn in 36 minutes? =
5. 5.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
6. 6.How many degrees does the hour hand of a clock turn in 69 minutes? =
7. 7.How many degrees does the minute hand of a clock turn in 30 minutes? =
8. 8.How many degrees does the minute hand of a clock turn in 53 minutes? =
9. 9.A clock shows 4:37. What time will it show 133 minutes later? (a) 6:40 (b) 7:00 (c) 7:50 (d) 6:50
10. 10.How many degrees does the minute hand of a clock turn in 32 minutes? =
11. 11.How many degrees does the minute hand of a clock turn in 47 minutes? =
12. 12.How many degrees does the hour hand of a clock turn in 177 minutes? =
13. 13.A clock shows 10:04. What time will it show 119 minutes later? (a) 12:13 (b) 12:03 (c) 1:03 (d) 11:53
14. 14.A clock shows 2:52. What time will it show 135 minutes later? (a) 6:07 (b) 5:17 (c) 4:57 (d) 5:07
15. 15.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
16. 16.A clock shows 7:52. What time will it show 78 minutes later? (a) 10:10 (b) 9:20 (c) 9:10 (d) 9:00
17. 17.A clock shows 12:15. What time will it show 27 minutes later? (a) 12:52 (b) 1:42 (c) 12:32 (d) 12:42
18. 18.How many degrees does the hour hand of a clock turn in 148 minutes? =
19. 19.A clock shows 8:41. What time will it show 70 minutes later? (a) 10:51 (b) 10:01 (c) 9:41 (d) 9:51
20. 20.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
21. 21.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
22. 22.How many degrees does the minute hand of a clock turn in 52 minutes? =
23. 23.How many degrees does the minute hand of a clock turn in 18 minutes? =
24. 24.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
25. 25.How many degrees does the hour hand of a clock turn in 137 minutes? =
26. 26.How many degrees does the hour hand of a clock turn in 51 minutes? =
27. 27.How many degrees does the hour hand of a clock turn in 121 minutes? =
28. 28.How many degrees does the hour hand of a clock turn in 37 minutes? =
29. 29.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
30. 30.How many degrees does the hour hand of a clock turn in 24 minutes? =
31. 31.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
32. 32.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
33. 33.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
34. 34.A clock shows 6:47. What time will it show 91 minutes later? (a) 8:28 (b) 9:18 (c) 8:08 (d) 8:18
35. 35.How many degrees does the minute hand of a clock turn in 50 minutes? =
36. 36.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
37. 37.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
38. 38.How many degrees does the minute hand of a clock turn in 26 minutes? =
39. 39.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
40. 40.How many degrees does the minute hand of a clock turn in 17 minutes? =

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