Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 504 · 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 30 minutes? =
2. 2.How many degrees does the minute hand of a clock turn in 27 minutes? =
3. 3.How many degrees does the minute hand of a clock turn in 40 minutes? =
4. 4.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
5. 5.How many degrees does the minute hand of a clock turn in 45 minutes? =
6. 6.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
7. 7.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
8. 8.A clock shows 8:47. What time will it show 136 minutes later? (a) 12:03 (b) 10:53 (c) 11:13 (d) 11:03
9. 9.How many degrees does the minute hand of a clock turn in 9 minutes? =
10. 10.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
11. 11.How many degrees does the hour hand of a clock turn in 126 minutes? =
12. 12.A clock shows 8:04. What time will it show 116 minutes later? (a) 9:50 (b) 11:00 (c) 10:10 (d) 10:00
13. 13.How many degrees does the hour hand of a clock turn in 24 minutes? =
14. 14.How many degrees does the hour hand of a clock turn in 160 minutes? =
15. 15.How many degrees does the minute hand of a clock turn in 50 minutes? =
16. 16.A clock shows 10:16. What time will it show 53 minutes later? (a) 11:09 (b) 12:09 (c) 11:19 (d) 10:59
17. 17.A clock shows 12:25. What time will it show 15 minutes later? (a) 1:40 (b) 12:40 (c) 12:50 (d) 12:30
18. 18.How many degrees does the minute hand of a clock turn in 17 minutes? =
19. 19.How many degrees does the hour hand of a clock turn in 57 minutes? =
20. 20.A clock shows 3:23. What time will it show 43 minutes later? (a) 3:56 (b) 5:06 (c) 4:16 (d) 4:06
21. 21.How many degrees does the hour hand of a clock turn in 107 minutes? =
22. 22.How many degrees does the minute hand of a clock turn in 15 minutes? =
23. 23.How many degrees does the minute hand of a clock turn in 19 minutes? =
24. 24.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
25. 25.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
26. 26.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
27. 27.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
28. 28.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
29. 29.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
30. 30.A clock shows 12:14. What time will it show 29 minutes later? (a) 12:33 (b) 12:43 (c) 12:53 (d) 1:43
31. 31.How many degrees does the hour hand of a clock turn in 23 minutes? =
32. 32.A clock shows 11:41. What time will it show 140 minutes later? (a) 2:01 (b) 3:01 (c) 1:51 (d) 2:11
33. 33.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
35. 35.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
36. 36.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
37. 37.A clock shows 8:05. What time will it show 28 minutes later? (a) 9:33 (b) 8:43 (c) 8:23 (d) 8:33
38. 38.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
39. 39.How many degrees does the hour hand of a clock turn in 132 minutes? =
40. 40.A clock shows 11:29. What time will it show 37 minutes later? (a) 11:56 (b) 1:06 (c) 12:16 (d) 12:06

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