Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 204 · 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 1:06? (in degrees) =
2. 2.How many degrees does the hour hand of a clock turn in 136 minutes? =
3. 3.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
4. 4.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
5. 5.A clock shows 3:10. What time will it show 136 minutes later? (a) 5:16 (b) 5:26 (c) 5:36 (d) 6:26
6. 6.How many degrees does the hour hand of a clock turn in 55 minutes? =
7. 7.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
8. 8.A clock shows 4:40. What time will it show 12 minutes later? (a) 5:52 (b) 4:52 (c) 4:42 (d) 5:02
9. 9.How many degrees does the minute hand of a clock turn in 21 minutes? =
10. 10.A clock shows 6:53. What time will it show 80 minutes later? (a) 9:13 (b) 8:13 (c) 8:03 (d) 8:23
11. 11.How many degrees does the hour hand of a clock turn in 171 minutes? =
12. 12.How many degrees does the hour hand of a clock turn in 130 minutes? =
13. 13.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
14. 14.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
15. 15.How many degrees does the hour hand of a clock turn in 133 minutes? =
16. 16.A clock shows 1:32. What time will it show 114 minutes later? (a) 3:26 (b) 3:16 (c) 4:26 (d) 3:36
17. 17.A clock shows 6:28. What time will it show 168 minutes later? (a) 9:16 (b) 10:16 (c) 9:06 (d) 9:26
18. 18.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
19. 19.A clock shows 3:26. What time will it show 10 minutes later? (a) 4:36 (b) 3:36 (c) 3:26 (d) 3:46
20. 20.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
21. 21.How many degrees does the minute hand of a clock turn in 51 minutes? =
22. 22.How many degrees does the minute hand of a clock turn in 39 minutes? =
23. 23.How many degrees does the minute hand of a clock turn in 4 minutes? =
24. 24.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
25. 25.A clock shows 4:23. What time will it show 120 minutes later? (a) 7:23 (b) 6:23 (c) 6:33 (d) 6:13
26. 26.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
27. 27.How many degrees does the hour hand of a clock turn in 95 minutes? =
28. 28.How many degrees does the minute hand of a clock turn in 37 minutes? =
29. 29.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
30. 30.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
31. 31.A clock shows 6:33. What time will it show 64 minutes later? (a) 7:47 (b) 8:37 (c) 7:37 (d) 7:27
32. 32.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
33. 33.A clock shows 10:57. What time will it show 131 minutes later? (a) 12:58 (b) 1:08 (c) 2:08 (d) 1:18
34. 34.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
35. 35.A clock shows 10:33. What time will it show 126 minutes later? (a) 1:39 (b) 12:49 (c) 12:29 (d) 12:39
36. 36.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
37. 37.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
38. 38.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
39. 39.How many degrees does the hour hand of a clock turn in 180 minutes? =
40. 40.A clock shows 2:05. What time will it show 164 minutes later? (a) 4:39 (b) 4:49 (c) 5:49 (d) 4:59

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