Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 729 · 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 2:16? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
3. 3.A clock shows 11:41. What time will it show 10 minutes later? (a) 12:01 (b) 12:51 (c) 11:51 (d) 11:41
4. 4.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
5. 5.How many degrees does the hour hand of a clock turn in 92 minutes? =
6. 6.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
7. 7.How many degrees does the minute hand of a clock turn in 12 minutes? =
8. 8.How many degrees does the hour hand of a clock turn in 147 minutes? =
9. 9.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
10. 10.How many degrees does the minute hand of a clock turn in 28 minutes? =
11. 11.How many degrees does the hour hand of a clock turn in 32 minutes? =
12. 12.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
13. 13.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
14. 14.How many degrees does the minute hand of a clock turn in 14 minutes? =
15. 15.How many degrees does the hour hand of a clock turn in 84 minutes? =
16. 16.A clock shows 8:47. What time will it show 57 minutes later? (a) 9:34 (b) 10:44 (c) 9:54 (d) 9:44
17. 17.How many degrees does the hour hand of a clock turn in 42 minutes? =
18. 18.How many degrees does the hour hand of a clock turn in 123 minutes? =
19. 19.How many degrees does the hour hand of a clock turn in 15 minutes? =
20. 20.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
21. 21.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
22. 22.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
23. 23.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
24. 24.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
25. 25.How many degrees does the minute hand of a clock turn in 59 minutes? =
26. 26.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
27. 27.A clock shows 10:14. What time will it show 123 minutes later? (a) 12:07 (b) 12:27 (c) 12:17 (d) 1:17
28. 28.How many degrees does the minute hand of a clock turn in 6 minutes? =
29. 29.How many degrees does the hour hand of a clock turn in 115 minutes? =
30. 30.A clock shows 12:51. What time will it show 44 minutes later? (a) 1:45 (b) 1:35 (c) 2:35 (d) 1:25
31. 31.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
32. 32.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
33. 33.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
34. 34.How many degrees does the minute hand of a clock turn in 21 minutes? =
35. 35.How many degrees does the hour hand of a clock turn in 131 minutes? =
36. 36.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
37. 37.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
38. 38.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
39. 39.How many degrees does the minute hand of a clock turn in 54 minutes? =
40. 40.A clock shows 4:13. What time will it show 90 minutes later? (a) 5:53 (b) 5:43 (c) 6:43 (d) 5:33

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