Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 770 · 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 8 minutes? =
2. 2.How many degrees does the hour hand of a clock turn in 152 minutes? =
3. 3.How many degrees does the hour hand of a clock turn in 35 minutes? =
4. 4.How many degrees does the minute hand of a clock turn in 44 minutes? =
5. 5.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
6. 6.How many degrees does the minute hand of a clock turn in 7 minutes? =
7. 7.A clock shows 6:05. What time will it show 37 minutes later? (a) 6:42 (b) 7:42 (c) 6:32 (d) 6:52
8. 8.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
9. 9.A clock shows 12:17. What time will it show 33 minutes later? (a) 1:00 (b) 12:40 (c) 12:50 (d) 1:50
10. 10.A clock shows 7:16. What time will it show 167 minutes later? (a) 9:53 (b) 10:13 (c) 10:03 (d) 11:03
11. 11.A clock shows 6:49. What time will it show 74 minutes later? (a) 7:53 (b) 8:03 (c) 8:13 (d) 9:03
12. 12.A clock shows 5:30. What time will it show 27 minutes later? (a) 5:57 (b) 6:57 (c) 5:47 (d) 6:07
13. 13.A clock shows 12:35. What time will it show 12 minutes later? (a) 1:47 (b) 12:37 (c) 12:47 (d) 12:57
14. 14.How many degrees does the minute hand of a clock turn in 33 minutes? =
15. 15.How many degrees does the minute hand of a clock turn in 30 minutes? =
16. 16.How many degrees does the minute hand of a clock turn in 10 minutes? =
17. 17.How many degrees does the hour hand of a clock turn in 47 minutes? =
18. 18.A clock shows 11:00. What time will it show 111 minutes later? (a) 12:51 (b) 1:01 (c) 1:51 (d) 12:41
19. 19.How many degrees does the minute hand of a clock turn in 9 minutes? =
20. 20.How many degrees does the minute hand of a clock turn in 22 minutes? =
21. 21.How many degrees does the minute hand of a clock turn in 53 minutes? =
22. 22.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
23. 23.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
24. 24.How many degrees does the hour hand of a clock turn in 70 minutes? =
25. 25.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
26. 26.How many degrees does the minute hand of a clock turn in 43 minutes? =
27. 27.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
28. 28.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
29. 29.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
30. 30.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
31. 31.How many degrees does the hour hand of a clock turn in 178 minutes? =
32. 32.A clock shows 9:15. What time will it show 138 minutes later? (a) 11:33 (b) 12:33 (c) 11:23 (d) 11:43
33. 33.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
35. 35.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
36. 36.How many degrees does the hour hand of a clock turn in 77 minutes? =
37. 37.A clock shows 2:18. What time will it show 59 minutes later? (a) 3:17 (b) 3:07 (c) 3:27 (d) 4:17
38. 38.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
39. 39.How many degrees does the hour hand of a clock turn in 62 minutes? =
40. 40.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =

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