Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 945 · 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 11 minutes? =
2. 2.How many degrees does the hour hand of a clock turn in 28 minutes? =
3. 3.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
4. 4.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
5. 5.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
6. 6.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
7. 7.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
8. 8.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
9. 9.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
10. 10.How many degrees does the minute hand of a clock turn in 18 minutes? =
11. 11.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
12. 12.How many degrees does the hour hand of a clock turn in 174 minutes? =
13. 13.How many degrees does the minute hand of a clock turn in 56 minutes? =
14. 14.How many degrees does the minute hand of a clock turn in 55 minutes? =
15. 15.How many degrees does the minute hand of a clock turn in 17 minutes? =
16. 16.How many degrees does the hour hand of a clock turn in 180 minutes? =
17. 17.A clock shows 1:12. What time will it show 94 minutes later? (a) 2:56 (b) 2:46 (c) 2:36 (d) 3:46
18. 18.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
19. 19.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
20. 20.How many degrees does the minute hand of a clock turn in 54 minutes? =
21. 21.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
22. 22.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
23. 23.How many degrees does the minute hand of a clock turn in 9 minutes? =
24. 24.How many degrees does the minute hand of a clock turn in 39 minutes? =
25. 25.How many degrees does the hour hand of a clock turn in 57 minutes? =
26. 26.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
27. 27.How many degrees does the hour hand of a clock turn in 114 minutes? =
28. 28.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
29. 29.How many degrees does the minute hand of a clock turn in 43 minutes? =
30. 30.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
31. 31.A clock shows 7:45. What time will it show 74 minutes later? (a) 8:49 (b) 9:59 (c) 8:59 (d) 9:09
32. 32.How many degrees does the minute hand of a clock turn in 20 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
34. 34.A clock shows 3:04. What time will it show 49 minutes later? (a) 3:43 (b) 4:53 (c) 3:53 (d) 4:03
35. 35.How many degrees does the minute hand of a clock turn in 23 minutes? =
36. 36.A clock shows 3:01. What time will it show 72 minutes later? (a) 4:23 (b) 4:03 (c) 5:13 (d) 4:13
37. 37.A clock shows 7:53. What time will it show 34 minutes later? (a) 9:27 (b) 8:37 (c) 8:27 (d) 8:17
38. 38.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
39. 39.How many degrees does the hour hand of a clock turn in 22 minutes? =
40. 40.A clock shows 5:04. What time will it show 62 minutes later? (a) 7:06 (b) 6:06 (c) 5:56 (d) 6:16

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