Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 534 · 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.How many degrees does the minute hand of a clock turn in 27 minutes? =
2. 2.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
3. 3.How many degrees does the minute hand of a clock turn in 26 minutes? =
4. 4.How many degrees does the hour hand of a clock turn in 54 minutes? =
5. 5.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
6. 6.How many degrees does the hour hand of a clock turn in 36 minutes? =
7. 7.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
8. 8.A clock shows 11:09. What time will it show 159 minutes later? (a) 1:58 (b) 1:48 (c) 1:38 (d) 2:48
9. 9.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
10. 10.How many degrees does the minute hand of a clock turn in 53 minutes? =
11. 11.How many degrees does the minute hand of a clock turn in 35 minutes? =
12. 12.How many degrees does the minute hand of a clock turn in 15 minutes? =
13. 13.A clock shows 5:49. What time will it show 16 minutes later? (a) 6:05 (b) 5:55 (c) 7:05 (d) 6:15
14. 14.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
15. 15.How many degrees does the hour hand of a clock turn in 180 minutes? =
16. 16.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
17. 17.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
18. 18.A clock shows 10:12. What time will it show 91 minutes later? (a) 12:43 (b) 11:53 (c) 11:33 (d) 11:43
19. 19.How many degrees does the minute hand of a clock turn in 23 minutes? =
20. 20.A clock shows 10:50. What time will it show 162 minutes later? (a) 1:22 (b) 2:32 (c) 1:42 (d) 1:32
21. 21.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
22. 22.How many degrees does the minute hand of a clock turn in 46 minutes? =
23. 23.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
24. 24.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
25. 25.A clock shows 9:29. What time will it show 90 minutes later? (a) 10:59 (b) 11:09 (c) 10:49 (d) 11:59
26. 26.A clock shows 2:00. What time will it show 133 minutes later? (a) 5:13 (b) 4:03 (c) 4:13 (d) 4:23
27. 27.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
28. 28.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
29. 29.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
30. 30.How many degrees does the minute hand of a clock turn in 11 minutes? =
31. 31.How many degrees does the hour hand of a clock turn in 44 minutes? =
32. 32.How many degrees does the minute hand of a clock turn in 41 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
34. 34.A clock shows 8:21. What time will it show 107 minutes later? (a) 11:08 (b) 9:58 (c) 10:08 (d) 10:18
35. 35.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
36. 36.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
37. 37.How many degrees does the minute hand of a clock turn in 28 minutes? =
38. 38.How many degrees does the minute hand of a clock turn in 10 minutes? =
39. 39.A clock shows 8:19. What time will it show 69 minutes later? (a) 9:18 (b) 10:28 (c) 9:38 (d) 9:28
40. 40.A clock shows 12:36. What time will it show 26 minutes later? (a) 1:12 (b) 12:52 (c) 2:02 (d) 1:02

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