Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 230 · 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 7:23? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
3. 3.A clock shows 6:18. What time will it show 156 minutes later? (a) 8:44 (b) 9:04 (c) 8:54 (d) 9:54
4. 4.A clock shows 7:47. What time will it show 35 minutes later? (a) 8:12 (b) 9:22 (c) 8:22 (d) 8:32
5. 5.A clock shows 8:04. What time will it show 161 minutes later? (a) 10:45 (b) 11:45 (c) 10:55 (d) 10:35
6. 6.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
7. 7.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
8. 8.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
9. 9.How many degrees does the hour hand of a clock turn in 56 minutes? =
10. 10.A clock shows 9:34. What time will it show 109 minutes later? (a) 11:33 (b) 11:23 (c) 12:23 (d) 11:13
11. 11.How many degrees does the hour hand of a clock turn in 16 minutes? =
12. 12.How many degrees does the minute hand of a clock turn in 35 minutes? =
13. 13.How many degrees does the hour hand of a clock turn in 11 minutes? =
14. 14.How many degrees does the minute hand of a clock turn in 15 minutes? =
15. 15.A clock shows 5:33. What time will it show 112 minutes later? (a) 7:15 (b) 8:25 (c) 7:35 (d) 7:25
16. 16.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
17. 17.How many degrees does the minute hand of a clock turn in 34 minutes? =
18. 18.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
19. 19.How many degrees does the minute hand of a clock turn in 37 minutes? =
20. 20.How many degrees does the minute hand of a clock turn in 42 minutes? =
21. 21.A clock shows 4:39. What time will it show 35 minutes later? (a) 5:14 (b) 6:14 (c) 5:04 (d) 5:24
22. 22.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
23. 23.A clock shows 1:30. What time will it show 155 minutes later? (a) 5:05 (b) 3:55 (c) 4:05 (d) 4:15
24. 24.A clock shows 10:45. What time will it show 96 minutes later? (a) 1:21 (b) 12:21 (c) 12:31 (d) 12:11
25. 25.A clock shows 10:10. What time will it show 67 minutes later? (a) 11:07 (b) 11:27 (c) 11:17 (d) 12:17
26. 26.How many degrees does the minute hand of a clock turn in 26 minutes? =
27. 27.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
28. 28.How many degrees does the minute hand of a clock turn in 13 minutes? =
29. 29.How many degrees does the minute hand of a clock turn in 8 minutes? =
30. 30.A clock shows 4:34. What time will it show 92 minutes later? (a) 5:56 (b) 6:16 (c) 6:06 (d) 7:06
31. 31.How many degrees does the minute hand of a clock turn in 45 minutes? =
32. 32.How many degrees does the minute hand of a clock turn in 54 minutes? =
33. 33.How many degrees does the minute hand of a clock turn in 19 minutes? =
34. 34.How many degrees does the minute hand of a clock turn in 51 minutes? =
35. 35.How many degrees does the hour hand of a clock turn in 40 minutes? =
36. 36.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
37. 37.How many degrees does the hour hand of a clock turn in 146 minutes? =
38. 38.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
39. 39.A clock shows 5:51. What time will it show 73 minutes later? (a) 8:04 (b) 6:54 (c) 7:14 (d) 7:04
40. 40.How many degrees does the hour hand of a clock turn in 83 minutes? =

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