Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 428 · 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 3:53? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
3. 3.How many degrees does the hour hand of a clock turn in 12 minutes? =
4. 4.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
5. 5.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
6. 6.How many degrees does the hour hand of a clock turn in 146 minutes? =
7. 7.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
8. 8.A clock shows 2:50. What time will it show 50 minutes later? (a) 3:40 (b) 3:30 (c) 3:50 (d) 4:40
9. 9.A clock shows 7:05. What time will it show 116 minutes later? (a) 8:51 (b) 10:01 (c) 9:11 (d) 9:01
10. 10.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
11. 11.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
12. 12.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
13. 13.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
14. 14.How many degrees does the hour hand of a clock turn in 66 minutes? =
15. 15.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
16. 16.How many degrees does the minute hand of a clock turn in 56 minutes? =
17. 17.How many degrees does the minute hand of a clock turn in 12 minutes? =
18. 18.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
19. 19.How many degrees does the hour hand of a clock turn in 90 minutes? =
20. 20.How many degrees does the hour hand of a clock turn in 71 minutes? =
21. 21.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
22. 22.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
23. 23.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
24. 24.A clock shows 2:58. What time will it show 67 minutes later? (a) 3:55 (b) 4:05 (c) 4:15 (d) 5:05
25. 25.How many degrees does the hour hand of a clock turn in 130 minutes? =
26. 26.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
27. 27.How many degrees does the hour hand of a clock turn in 94 minutes? =
28. 28.How many degrees does the hour hand of a clock turn in 49 minutes? =
29. 29.How many degrees does the minute hand of a clock turn in 10 minutes? =
30. 30.A clock shows 11:14. What time will it show 91 minutes later? (a) 12:45 (b) 12:35 (c) 12:55 (d) 1:45
31. 31.How many degrees does the hour hand of a clock turn in 95 minutes? =
32. 32.How many degrees does the hour hand of a clock turn in 170 minutes? =
33. 33.How many degrees does the minute hand of a clock turn in 18 minutes? =
34. 34.A clock shows 1:07. What time will it show 49 minutes later? (a) 2:06 (b) 1:46 (c) 2:56 (d) 1:56
35. 35.A clock shows 2:04. What time will it show 121 minutes later? (a) 3:55 (b) 5:05 (c) 4:15 (d) 4:05
36. 36.How many degrees does the hour hand of a clock turn in 22 minutes? =
37. 37.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
38. 38.A clock shows 2:08. What time will it show 42 minutes later? (a) 2:40 (b) 3:50 (c) 3:00 (d) 2:50
39. 39.How many degrees does the hour hand of a clock turn in 54 minutes? =
40. 40.How many degrees does the hour hand of a clock turn in 138 minutes? =

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