Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 316 · 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 3:41? (in degrees) =
2. 2.How many degrees does the hour hand of a clock turn in 161 minutes? =
3. 3.How many degrees does the hour hand of a clock turn in 64 minutes? =
4. 4.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
5. 5.How many degrees does the minute hand of a clock turn in 42 minutes? =
6. 6.A clock shows 7:33. What time will it show 70 minutes later? (a) 8:53 (b) 8:43 (c) 9:43 (d) 8:33
7. 7.How many degrees does the hour hand of a clock turn in 154 minutes? =
8. 8.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
9. 9.How many degrees does the minute hand of a clock turn in 41 minutes? =
10. 10.How many degrees does the minute hand of a clock turn in 37 minutes? =
11. 11.How many degrees does the minute hand of a clock turn in 40 minutes? =
12. 12.A clock shows 9:05. What time will it show 75 minutes later? (a) 11:20 (b) 10:10 (c) 10:20 (d) 10:30
13. 13.How many degrees does the minute hand of a clock turn in 22 minutes? =
14. 14.How many degrees does the minute hand of a clock turn in 56 minutes? =
15. 15.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
16. 16.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
17. 17.A clock shows 8:02. What time will it show 138 minutes later? (a) 10:30 (b) 11:20 (c) 10:20 (d) 10:10
18. 18.How many degrees does the hour hand of a clock turn in 31 minutes? =
19. 19.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
20. 20.A clock shows 11:44. What time will it show 160 minutes later? (a) 2:24 (b) 2:14 (c) 3:24 (d) 2:34
21. 21.How many degrees does the hour hand of a clock turn in 10 minutes? =
22. 22.How many degrees does the minute hand of a clock turn in 8 minutes? =
23. 23.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
24. 24.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
25. 25.A clock shows 1:39. What time will it show 24 minutes later? (a) 1:53 (b) 2:03 (c) 3:03 (d) 2:13
26. 26.What is the smaller angle between the hour hand and the minute hand at 2:04? (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 5:29? (in degrees) =
29. 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
30. 30.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
31. 31.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
32. 32.How many degrees does the minute hand of a clock turn in 35 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
35. 35.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
36. 36.How many degrees does the minute hand of a clock turn in 2 minutes? =
37. 37.How many degrees does the minute hand of a clock turn in 5 minutes? =
38. 38.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
39. 39.A clock shows 1:21. What time will it show 95 minutes later? (a) 3:06 (b) 2:56 (c) 2:46 (d) 3:56
40. 40.How many degrees does the minute hand of a clock turn in 26 minutes? =

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